Answer: false
Explanation:
A vertical wire carrics an electric current out of the page, so the direction of the
magnetic field at point (P) which located at the west of the wire is
(A) to the west.
N
(B) to the south.
(C) to the north.
D) to the east.
W
S
www.
E
.P OI
The direction of the magnetic field at point P, West of the wire, would be to the South.
The right-hand ruleThe right-hand rule can be used to determine the direction of the magnetic field around a current-carrying wire.
If the thumb of the right hand is pointed in the direction of the current (out of the page), and the fingers wrap around the wire in the direction of the magnetic field, then the palm of the right-hand points in the direction of the magnetic field.
Using this rule, we can determine that the magnetic field at point (P), located west of the wire, will be directed to the south.
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Suppose a volcano threw so much ash into the air that it blocked much of the sunlight. How might this affect the ability of animals to obtain energy to live?
they would be affected because herbivores and omnivores which rely on plants to survive would not recieve the nutrition necessary because for the plant to create food it would need sunlight
If a person steps on a scale in an elevator that is accelerating at a rate -1.100 m/s^2 (negative means downward while positive means upwards) and sees a scale reading of 598.900 Newtons what would the scale read if the elevator were not moving?
The scale reading when the elevator is accelerating can be found using the following formula:
Weight in Elevator = Mass × (Acceleration of Gravity + Acceleration of Elevator)
where Weight in Elevator is the scale reading, Mass is the mass of the person, Acceleration of Gravity is the acceleration due to gravity (9.81 m/s^2), and Acceleration of Elevator is the acceleration of the elevator.
What would the scale read if the elevator were not moving?Using this formula, we can solve for the mass of the person:
Weight in Elevator = Mass × (Acceleration of Gravity + Acceleration of Elevator)
598.9 N = Mass × (9.81 m/s^2 - 1.1 m/s^2)
Mass = 65 kg
Now, when the elevator is not moving, the weight of the person will be equal to their mass multiplied by the acceleration due to gravity, which is:
Weight on Ground = Mass × Acceleration of Gravity
Weight on Ground = 65 kg × 9.81 m/s^2
Weight on Ground = 637.65 N
Therefore, the scale reading when the elevator is not moving would be 637.65 Newtons.
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Which angle (A,B, or C) is the diffraction angle?
B because it’s closest to the center line
As waves come into contact with a barrier or aperture, they experience the phenomenon known as diffraction, which causes them to bend and disperse.
Which diffraction angle has the highest value?Diffracted light has maximum intensities at angles m given by dsinm=m when light is usually incident on a diffraction grating. Thus, the 3rd-order maxima can arise at 90° (or a smaller angle) and there won't be any 4th-order maxima because the maximum angle for diffraction maxima is 90°.
What factors affect angle of diffraction?Light's wavelength determines the amount of diffraction, with longer wavelengths diffracted at a greater angle than shorter ones (in effect, red light are diffracted at a higher angle than is blue and violet light).
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Answer:
it is B
Explanation:
QUESTION 1 A travel agency has advertising signage of a globe suspended by frame as shown Some data are provide as follows: Weight W = 20N a = 25⁰ B = 60° x= 5m What is the force in the member BC - give your answer in N. Tension = +ve Compression = -ve B a X В 4
Therefore, the force in member BC is equal to the vertical component of the force at joint B, which is: F_BC = -V_BC = -28.37 N.
What is force?In physics, force is defined as an influence that causes an object to undergo a change in motion or to experience deformation. It is a vector quantity, which means it has both magnitude and direction. The SI unit of force is the Newton (N). According to Newton's laws of motion, a force is required to change the motion of an object. The first law states that an object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity, unless acted upon by an unbalanced force. The second law states that the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass (F = ma). The third law states that for every action, there is an equal and opposite reaction.
Here,
To solve this problem, we can use the method of joints to analyze the forces acting on the joints of the frame. The method of joints involves analyzing the forces acting on each joint of a structure in order to determine the internal forces (tension or compression) in the members.
We will start by analyzing joint B, since it has only two unknown forces (the force in member BC and the horizontal force in member AB). We can apply the equations of static equilibrium to this joint:
ΣFx = 0: H_AB = 0
ΣFy = 0: V_AB + V_BC - W = 0
where H_AB and V_AB are the horizontal and vertical components, respectively, of the force in member AB, V_BC is the vertical component of the force in member BC, and W is the weight of the globe.
From the given data, we can determine the values of V_AB and W:
V_AB = -W sin(a) = -20 sin(25°) ≈ -8.37 N
W = 20 N
Substituting these values into the equations of static equilibrium, we can solve for V_BC and H_AB:
V_BC = W - V_AB = 20 + 8.37 = 28.37 N
H_AB = 0
F_BC = -V_BC = -28.37 N
Note that the negative sign indicates that the force in member BC is in compression, which means it is being pushed inward by the forces acting on the structure.
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According to the HR diagram, what 2 pieces of information are graphed?
Onthe top and the least luminous stars at the bottom. Temperature is plotted on the horizontal axis, with the hottest stars on the left and the coolest stars on the right.
What is Luminosity?
Luminosity is a measure of the total amount of energy emitted by a star or other celestial object per unit time, regardless of the direction in which it is emitted. It is a measure of the intrinsic brightness of the object, and is often expressed in units of watts or solar luminosities (the amount of energy emitted by the Sun).
The luminosity of a star depends on several factors, including its size, temperature, and age. Larger and hotter stars tend to be more luminous than smaller and cooler stars, because they have a greater surface area and emit more energy per unit area. Young stars are also typically more luminous than older stars, because they are still undergoing nuclear fusion and producing energy at a high rate.
The Hertzsprung-Russell (HR) diagram is a graph that shows the relationship between two key pieces of information about stars:
Luminosity: The amount of energy a star emits per second, measured in units of watts or solar luminosities (the amount of energy emitted by the Sun).
Temperature: The surface temperature of the star, measured in degrees Kelvin (K) or degrees Celsius (°C).
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please answer this question about the reflection of light
Answer:
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Explanation:
Two model cars collide and then move together. Car 1 has a mass of 2 kg and has an initial velocity of -5m/s. Car 2 has a mass of 1.0kg and an initial velocity of 4m/s immediately before the two model cars have a perfectly inelastic collision.
What is their final velocity immediately after the collision?
The initial momentum of the system before the collision can be calculated as: p1 = m1v1 + m2v2 = -6 kgm/s
After the collision, the two objects stick together and move with a final velocity of v. The final momentum of the system can be calculated as:
p2 = (m1 + m2)v
p2 = 3v
Since momentum is conserved, we can equate p1 and p2 to get:
p1 = p2
-6 kgm/s = 3v
v = -2 m/s
Therefore, the final velocity of the combined object after the collision is -2 m/s.
What is momentum conservation?Momentum conservation is a fundamental principle in physics that states that the total momentum of a closed system remains constant in the absence of external forces. In other words, the rate of an object or a system of things cannot change unless an external force acts on it.
Is momentum a vector quantity?Yes, momentum is a vector quantity that represents the product of an object's mass and velocity, and it describes the tendency of an object to continue moving in the same direction and at the same speed unless acted upon by an external force.
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Drag each label to the correct location on the image.
Match the government activities to the different fiscal policies.
government is spending
less than what it earns
budget indicates a surplus
budget indicates a deficit
government is spending
more than what it earns
Contractionary Fiscal Policy
government is spending more
on infrastructure development
Expansionary Fiscal Policy
Matching the government activities to the different fiscal policies.
Contractionary Fiscal Policy:
budget indicates a surplus
government is spending less than what it earns
Expansionary Fiscal Policy:
government is spending more on infrastructure development
budget indicates a deficit
government is spending more than what it earns
When the government is spending less than what it earns, it has a budget surplus. This indicates that the government is collecting more revenue than it is spending. This is an example of a contractionary fiscal policy because it reduces the amount of money circulating in the economy, which can help control inflation.
When the government is spending more than what it earns, it has a budget deficit. This indicates that the government is spending more money than it is collecting in revenue. This is an example of an expansionary fiscal policy because it injects more money into the economy, which can stimulate economic growth.
When the government is spending more on infrastructure development, it is an example of an expansionary fiscal policy because it increases government spending and stimulates economic growth.
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A rifle with a weight of 35 N fires a 5.5g bullet with a speed of 270m/s. Find the recoil speed of the rifle
The recoil speed of the 35N rifle is 0.42 meters per second.
What is the recoil speed of the rifle?To find the recoil speed of the rifle, we can use the principle of conservation of momentum.
According to this principle, the total momentum before firing the bullet is equal to the total momentum after firing the bullet.
Initially, the rifle and bullet are at rest, so their total momentum is zero.
p_initial = 0
After firing the bullet, the momentum of the bullet is:
p_bullet = m_bullet × v_bullet
p_bullet = ( 5.5 / 1000 )kg × 270m/s
p_bullet = 1.485 kg m/s
By conservation of momentum, the momentum of the rifle in the opposite direction is also equal to 1.485 kg m/s.
Let the recoil speed of the rifle be v_recoil. Then:
p_rifle = m_rifle × v_recoil
v_recoil = p_rifle / m_rifle
Note that weight of the rifle = 35N, then mass = 35/9.8 kg
v_recoil = 1.485 kgm/s / ( 35/9.8 kg )
v_recoil = 0.42 m/s
Therefore, the recoil speed of the rifle is 0.42 m/s.
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A frictionless roller coaster with an initial speed of
The final speed of the roller coaster is 454.6 m/s.
How to determine final speed?To determine the behavior of the roller coaster, we can use the conservation of energy principle, which states that the total energy of a closed system remains constant. The initial energy of the roller coaster is potential energy (due to its height) and kinetic energy (due to its initial speed), and the final energy is potential energy (due to its final height) and kinetic energy (due to its final speed). Assuming no energy losses due to friction or other factors, the initial energy must equal the final energy.
The potential energy of the roller coaster at height h is given by:
Ep = mgh
where m is the mass of the roller coaster, g is the acceleration due to gravity (9.81 m/s²), and h is the height of the roller coaster.
At the top of the roller coaster (where h = 100 m), the potential energy of the roller coaster is:
Ep = (1000.0 kg)(9.81 m/s²)(100.00 m) = 981000 J
The kinetic energy of the roller coaster at the initial speed vi is given by:
Ek = (1/2)mv²
where m is the mass of the roller coaster, and v is its speed.
At the beginning of the roller coaster (where vi = 10.00 m/s), the kinetic energy of the roller coaster is:
Ek = (1/2)(1000.0 kg)(10.00 m/s)² = 50000 J
The total energy of the roller coaster at the beginning of the ride is:
Etotal = Ep + Ek = 981000 J + 50000 J = 1031000 J
At the bottom of the roller coaster, all of the potential energy has been converted to kinetic energy, and the roller coaster has reached its maximum speed. Therefore, the kinetic energy at the bottom of the roller coaster is:
Ek = Etotal - Ep = 1031000 J - 0 J = 1031000 J
The final speed of the roller coaster, vf, is found using the equation:
Ek = (1/2)mv²
Solving for vf:
vf = √(2Ek/m) = √(2(1031000 J)/(1000.0 kg)) = 454.6 m/s
Therefore, the final speed of the roller coaster is approximately 454.6 m/s.
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The complete question is:
a frictionless roller coaster is given an initial speed of vi=10.00m/s , at the initial height h=100:00m,has a mass m=1000.0kg. what is the roller coaster's final speed?
A rocket accelerates upwards at 6.20 ft/s/s. How far will the rocket travel in 2 minutes?
Answer:
44,640 ft
Explanation:
assuming the rocket started from rest, then v₀ = 0
2 min = 120 s
Δx = v₀t + 1/2at²
Δx = 0 + 1/2(6.2 ft/s²)(120 s)² = 44,640 ft ≈ 8.45 mi
In the same liquid, the pressures are equal at all points that are
A. the same distance below the liquid surface.
B. along the vertical walls of the container.
C. not touching any immersed objects.
D. not in the sunlight.
The correct option is A. which states that in the same liquid, the pressures are equal at all points that are at the same distance below the liquid surface.
This is because the pressure is determined by the weight of the liquid column above it, which is the same for all points at the same depth. The pressure along the vertical walls of the container is not equal because the liquid is in hydrostatic equilibrium which means that the pressure is not the same at all points in the liquid, and since the walls are vertical, the pressure is the same along them. The pressure at any point not touching any immersed objects is not equal to the pressure at any other point not touching any immersed objects because the pressure is determined by the weight of the liquid column above it, which is the same for all points not touching any immersed objects. The pressure is not affected by factors such as sunlight since the pressure at any point in the sunlight is equal to the pressure at any other point not in the sunlight.
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Which above element is the most active nonmetal?
A. cerium (Ce)
B. potassium (K)
C. xenon (Xe)
D. iodine (I)
E. gold (Au)
Answer:
D. iodine (I) is the most active nonmetal in the options given.
A 6.00-kg block is sent up a ramp inclined at an angle =27.0∘ from the horizontal. It is given an initial velocity 0=15.0 m/s up the ramp. Between the block and the ramp, the coefficient of kinetic friction is k=0.40 and the coefficient of static friction is s=0.70.
What distance along the ramp's surface does the block travel before it comes to a stop?
Answer:
X = 8.2 m
Explanation:
m = 4.25 kg, v0 = 15.0 m/s, v = 0 m/s
Since you have to push the block to overcome the static friction to start moving, the force required to set it in motion must be greater than the difference between the component of weight along the ramp and the static frictional force. This force with a minimum magnitude equal to the kinetic friction is required to keep the block in a constant motion. The normal force is N = mg cosθ
F ≥ μkN + μsN - mg sinθ = μk mg cosθ + μs mg cosθ - mg sinθ
=mg[( μk + μs)cosθ + sinθ]
=4.25 kgx9.8 m/s2[(0.368+0.663)cos31.5+sin31.5]
= 58.3754 N
Fnet = ma
ma = 58.3754, a = 13.735 m/s2
v2 = v02 - 2aX
02 = (15.0 m/s)2 -2(13.735m/s2)X
X = 8.2 m
Im kinda lost in this one
[tex]75 = 6 \times \frac{?}{?} \times \frac{?}{?} [/tex]
If the average kinetic energy of the molecules in an ideal gas initially at 36°C doubles, what is the final temperature of the gas?
Answer: 345.15°C
Explanation:
The average kinetic energy of the molecules in an ideal gas is proportional to its temperature in Kelvin scale. So, if the average kinetic energy doubles, then the temperature must also double.
The initial temperature of the gas is 36°C = 36 + 273.15 = 309.15 K.
Doubling the temperature, we get:
Final temperature = 2 × 309.15 K = 618.3 K
Converting back to Celsius scale, we get:
Final temperature = 618.3 - 273.15 = 345.15°C
Therefore, the final temperature of the gas is 345.15°C.
What type of energy is demonstrated when a marble is in position at the top of a rent before it begins to move
The kinetic energy is related to the motion of the marble, but the potential energy is related to its position. The marble's potential energy is transformed into kinetic energy as it slides down the ramp from the top.
While the stone is in this position before it starts to move, what kind of energy is being shown?The stone has potential energy when it is at the top of the ramp because gravity will lead it to fall. The term for this is gravitational potential energy. The stone is freed, and the potential energy transforms into kinetic energy as it moves. Kinetic energy is the term used to describe a moving object.
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Draw a block diagram of a closedloop and Open loop control system; identify with function, Six of its components.
In closed Loop Control System,the input to the system is the desired set-point or reference value.In oen Loop Control System,the input to the system is the desired set-point or reference value.
What is value ?Value is the importance, worth, or usefulness of something. It is the importance an individual or group places on an object, service, or idea. Value is determined by how much an individual or group is willing to give up to obtain that object, service, or idea. Value can also refer to the monetary worth of an object, service, or idea.
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why does a person at the depth of the lake doesn't burst
Answer:
Because the body regulates water pressure well because we are mostly composed of water
2. The term fluids refers to.....
Answer:
In physics, the term "fluids" refers to substances that have no fixed shape and are capable of flowing. Fluids can be categorized into two main types: liquids and gases. Both liquids and gases are considered fluids because they can flow and take the shape of their container. Examples of liquids include water, oil, and blood, while examples of gases include air, helium, and carbon dioxide. The study of fluids is known as fluid mechanics and is an important field in physics and engineering.
Explanation:
I need help writing the expression. There is no option for Req as a whole term.
the answer to Ibatt is 2.2A
2) Write an expression for the current through resistor 2.
answer to I2 is 0.68 A
Answer:
R2 + R3 = R2 R3 / (R2 + R3) = R23 R2 and R3 in parallel
R1 + R23 = R1 R23 / (R1 + R23) R1 in parallel with R2 and R3
R = R1 R23 / (R1 + R23)
R23 = 147 * 163 / (147 + 163) = 77.3 Ω
R = 77.3 * 140 / (77.3 + 140) = 49.8 Ω
I = 212 / 49.8 = 4.26 amps thru circuit
R23 = 77.3
I23 = 212 / 77.3 = 2.74 amps thru R23
I1 = 212 / 140 = 1.51 thru R1
I1 + I23 = 1.51 + 2.74 = 4.25 current thru entire circuit
Current thru R2 current thru R23 = 2.74 amps
Normal air has a density of 1.22 kg/m^3. Air that has been heated in a hot air balloon has a density of 0.95 kg/m^3. The hot air balloon has a total volume of 3000 m^3.
a. What is the mass of air in the balloon? (1 point)
b. What is the buoyant force acting on the balloon? (1 point)
c. If the basket and riders in the balloon have a mass of 400 kg, what is the acceleration of the balloon? (1 point)
d. What is the minimum volume the balloon can have before it goes downward instead of upward? (1 point)
e. As the balloon rises, the lower air pressure causes the air around the balloon to become less dense. How does this affect the buoyancy of the balloon? (1 point)
f. As the balloon rises, the atmospheric pressure decreases, causing the volume of the balloon to increase. How does this affect the buoyancy of the balloon? (1 point)
a) The mass of air in the balloon is 2850 kg.
b) The buoyant force acting on the balloon is 93258.6 N.
c) The acceleration of the balloon and the riders is 24.8 m/s².
d) the minimum volume the balloon can have before it goes downward instead of upward is 14118.5 m³.
e) The balloon will start to rise more slowly or may even stop rising altogether.
f) The balloon will rise more quickly or may even accelerate.
a. The mass of air in the balloon can be calculated by multiplying the density of the air by the volume of the balloon:
Mass of air = Density of air × Volume of balloon
Mass of air = 0.95 kg/m³ × 3000 m³
Mass of air = 2850 kg
Therefore, the mass of air in the balloon is 2850 kg.
b. The buoyant force acting on the balloon can be calculated using Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the object:
Buoyant force = Density of fluid × Volume of fluid displaced x Gravity
Buoyant force = (Density of air - Density of balloon) × Volume of balloon × Gravity
Buoyant force = (1.22 kg/m³ - 0.95 kg/m³) × 3000 m³ × 9.81 m/s²
Buoyant force = 93258.6 N
Therefore, the buoyant force acting on the balloon is 93258.6 N.
c. The net force acting on the balloon and the riders is equal to the buoyant force minus the weight of the system:
Net force = Buoyant force - Weight of system
Net force = 93258.6 N - 400 kg × 9.81 m/s²
Net force = 88836.6 N
The acceleration of the system can be calculated using Newton's second law:
Net force = Mass of system × Acceleration
Acceleration = Net force / Mass of system
Acceleration = 88836.6 N / (400 kg + 2850 kg)
Acceleration = 24.8 m/s²
Therefore, the acceleration of the balloon and the riders is 24.8 m/s².
d. The minimum volume the balloon can have before it goes downward instead of upward can be calculated by setting the buoyant force equal to the weight of the system:
Buoyant force = Weight of system
(Density of air - Density of balloon) × Volume of balloon × Gravity = (Mass of air + Mass of system) × Gravity
Volume of balloon = (Mass of air + Mass of system) / (Density of air - Density of balloon)
Volume of balloon = (2850 kg + 400 kg) / (1.22 kg/m³ - 0.95 kg/m³)
Volume of balloon = 14118.5 m³
Therefore, the minimum volume the balloon can have before it goes downward instead of upward is 14118.5 m³.
e. As the balloon rises, the lower air pressure causes the air around the balloon to become less dense. This means that the density of the fluid that the balloon displaces decreases, which reduces the buoyant force acting on the balloon. As a result, the balloon will start to rise more slowly or may even stop rising altogether if the density of the displaced air becomes equal to the density of the balloon.
f. As the balloon rises, the atmospheric pressure decreases, causing the volume of the balloon to increase. This expansion of the balloon increases the volume of air that it displaces, which in turn increases the buoyant force acting on the balloon. As a result, the balloon will rise more quickly or may even accelerate if the expansion of the balloon is significant enough.
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A horizontal net force F is exerted on an object at rest. The object starts at x = 0m and has a speed of 8.0m/s after moving 6.0m along a horizontal frictionless surface. The net force. F as a function of the object's position x is shown below.
What is the mass of the object?
Answer:
i'm going to go with 5
Explanation:
8. A unique property of water because of its chemical structure is that it's _____ dense when it's a solid than when it's a liquid.
A. less
B. equally
C. inversely
D. more
A unique property of water because of its chemical structure is that it's A. less dense when it's a solid than when it's a liquid.
What is water?Water is an incredibly unique substance, and its physical properties are largely due to its chemical structure. Water is a polar molecule, meaning it has a positively charged end and a negatively charged end, which creates an attraction between molecules of water that is known as hydrogen bonding.
This hydrogen bonding is responsible for a number of the unique properties of water, one of which is its density. Water is less dense when it is a solid than when it is a liquid. This is counterintuitive to most substances, which are more dense when they are solid than when they are liquid. The explanation for this is that when water freezes, the hydrogen bonds between the molecules force them to move further apart, resulting in a decrease in density.
This is why ice floats on top of liquid water, and it is why bodies of water don’t freeze from the bottom up.
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What is the tension on a stone of mass 50 g, tied to a string of length 50 cm and rotated at a speed of 1 m/s?
Answer:
0.615j would be the answer to your question.
PLEASEEEEEEEEE HELP!!!!!!!!!!!!!!!!!!!!! (I will give a brainlist)
1. What does a spring scale measure? Include the units for the measurements. (2 points)
2. Summarize how to use a spring scale to measure a pull and how to use it to apply a push with a specific force. (4 points)
3. Compare the strengths and directions of the forces acting on the model car when it is motionless. (2 points)
4. Are these forces balanced or unbalanced? What is the net force on the car? Explain. (4 points)
5. How does the inertia of the model car compare with the inertia of a real car? (2 points)
6. Was a 0.5 N push enough to move the model car? What about the 1.0 N push? (2 points)
7. How does the size of each push compare with the force of friction on the car? Explain your answer in terms of the net force on the car. (4 points)
8. How does the inertia of car 2 (carrying 210 g) compare with the inertia of the empty car 1? (2 points)
9. How does the force needed to make car 2 move compare with the force needed to make car 1 move? (2 points)
10. Use Newton's first law to explain why the forces needed to move car 1 and car 2 were different. (4 points)
11. Why did both car 1 and car 2 slow down and come to a stop after they were pushed? (2 points)
12. Consider this question: If the mass of the car is kept constant, how will increasing the applied force affect the distance the car travels?
Write a hypothesis based on this question. (2 points)
13. Identify the dependent variable, independent variable, and constant for this experiment. (2 points)
15. Use the data to complete the graph. For any data that are uncertain, round to the nearest ten. (8 points)
16. Does the trend in your data shown in the graph support your hypothesis? What conclusion can you draw about force and the change in motion of the car? (4 points)
Answer:
A spring scale measures weight or force when an object is hung from its hook.
Explanation:
1. An object of mass 4 kg has 200 J of kinetic energy. An external force does
- 50 J of work on the object. How much kinetic energy does the object
have now?
f=ma
55=10a
a=55/10
now we know the constant acceleration
now we just use the formula
v^2=u^2+2as
now, the kinetic energy formula is 1/2 * m * v^2
1/2 * 10 * (√47.3)^2
1/2 * 10 * 47.3
=236.5 J of kinetic energy
In physics, what exactly is kinetic energy?kinetic energy is the energy a moving item has. To accelerate an item, we must apply force. Using force needs us to perform labor. Once the work is completed, energy is transferred to the item, and the thing moves at a new constant speed.
Kinetic energy (KE) is defined in classical mechanics as half of an object's mass (1/2*m) multiplied by velocity squared. For example, if a 10 kilogram item moves at a velocity of 5 meters per second (v = 5 m/s), the kinetic energy is 125 Joules, or (1/2 * 10 kg) * 5 m/s2.
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An amplifier operating from a ± 20 V power supply is fed with sinusoidal voltage having 1.5 V peak and delivers a sinusoidal output voltage of 18 V peak to a 100 Ω load. The amplifier draw a current of 0.1 A from each of its power supplies. The input current of the amplifier is in a sinusoidal form with 1 mA peak ,find voltage gain
Answer:
the voltage gain of the amplifier is approximately 416.9.
Explanation:
We can use the voltage gain formula of the amplifier to determine its voltage gain:
Voltage Gain = (Output Voltage Amplitude) / (Input Voltage Amplitude)
The output voltage amplitude is given as 18 V peak, and the input voltage amplitude is 1.5 V peak.
To calculate the input voltage in terms of RMS, we can use the formula:
Vrms = Vpeak / sqrt(2)
Therefore, the input voltage amplitude in RMS is:
Vrms = 1.5 Vpeak / sqrt(2) = 1.06 Vrms
The input current amplitude is given as 1 mA peak, and we can similarly calculate the input current amplitude in RMS:
Irms = 1 mA peak / sqrt(2) = 0.707 mA RMS
Now we can use the given information to determine the voltage gain of the amplifier:
Output Voltage Amplitude = 18 V peak
Input Voltage Amplitude = 1.06 Vrms
Input Current Amplitude = 0.707 mA RMS
The current drawn by the amplifier from each of its power supplies is 0.1 A, and since there are two power supplies, the total power consumed by the amplifier is:
P = (2 * 0.1 A) * (± 20 V) = 4 W
We can now use the power gain formula to determine the voltage gain of the amplifier:
Power Gain = (Output Power) / (Input Power)
The output power can be calculated as:
Pout = (Vout^2) / Rload = (18 V peak)^2 / 100 Ω = 3.24 W
The input power can be calculated as:
Pin = (Vrms^2 / Rin) + (Irms^2 * Rin)
where Rin is the input resistance of the amplifier.
Assuming the input impedance of the amplifier is much larger than 100 Ω, we can neglect the first term in the above equation, and we get:
Pin = (Irms^2 * Rin)
Solving for Rin, we get:
Rin = (Pin / Irms^2) = (4 W / (0.707 mA RMS)^2) = 80.4 kΩ
Now we can calculate the input power as:
Pin = (Vrms^2 / Rin) + (Irms^2 * Rin) = (1.06 Vrms)^2 / (80.4 kΩ) + (0.707 mA RMS)^2 * (80.4 kΩ) = 7.77 mW
Therefore, the voltage gain of the amplifier can be calculated as:
Voltage Gain = (Output Power) / (Input Power) = (3.24 W) / (7.77 mW) = 416.9
Therefore, the voltage gain of the amplifier is approximately 416.9.
Answer:
To find the voltage gain of the amplifier, we need to first determine the output voltage in relation to the input voltage. From the information given, we know that the input voltage is 1.5 V peak, and the output voltage is 18 V peak. Therefore, the voltage gain can be calculated as:
Voltage gain = output voltage / input voltage
Voltage gain = (18 V peak) / (1.5 V peak) = 12
This means that the output voltage is 12 times greater than the input voltage.
Next, we need to determine the input impedance of the amplifier. From the information given, we know that the input current is in sinusoidal form with 1 mA peak, and that the amplifier draws a current of 0.1 A from each of its power supplies. Therefore, the input impedance can be calculated as:
Input impedance = input voltage / input current
Input impedance = (1.5 V peak) / (1 mA peak) = 1500 Ω
Now, we can use Ohm's law to determine the power consumed by the amplifier from each of its power supplies:
Power supply current = 0.1 A
Power supply voltage = ± 20 V
Power supply power = (Power supply voltage) x (Power supply current)
Power supply power = (20 V) x (0.1 A) = 2 W
Therefore, the amplifier consumes 2 W from each of its power supplies.
In summary, the voltage gain of the amplifier is 12, the input impedance is 1500 Ω, and the amplifier consumes 2 W from each of its power supplies.
(Please could you kindly mark my answer as brainliest)
a frictionless roller coaster is given an initial speed of vi=10.00m/s , at the initial height h=100:00m,has a mass m=1000.0kg
Answer: Using conservation of energy, we can find the final speed of the roller coaster at the bottom of the hill:
Initial energy (at the top) = Potential energy + Kinetic energy
1/2 * m * vi^2 + m * g * h = 1/2 * m * vf^2 + m * g * 0
where m = 1000.0 kg is the mass of the roller coaster, vi = 10.00 m/s is the initial speed, h = 100.00 m is the initial height, g = 9.81 m/s^2 is the acceleration due to gravity, and vf is the final speed at the bottom of the hill.
Simplifying and solving for vf:
vf = sqrt(2 * g * h + vi^2)
Substituting the given values:
vf = sqrt(2 * 9.81 m/s^2 * 100.00 m + (10.00 m/s)^2)
vf = sqrt(1962.2)
vf ≈ 44.3 m/s
Therefore, the final speed of the roller coaster at the bottom of the hill is approximately 44.3 m/s.