Answer: (b)
Explanation:
According to the law of conservation of momentum.
B. Emily moves forward at 2 m/s.
supppose object a has double the specific heat and triple the mass of object b. if the same amount of heat is applied to both objects, how will the temperature changes of a be related to the temperature change of b?
The given problem is related to the calorimetry. The definition of calorimetry states that, "Calorimetry is the science of determining the change in energy of a system by measuring the heat exchange of the system with the surroundings". According to this, the temperature change of A will be one sixth of the temperature change of B. Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.
Sensible heat is defined as the amount of heat that a body absorbs or releases without any changes in its physical state (phase change).
So, the equation that allows to calculate heat exchanges is:
Q = c× m× ΔT
where Q is the heat exchanged by a body of mass m, made up of a specific heat substance c and where ΔT is the temperature variation.
Temperature change of A related to the temperature change of B
In this case, for object A:
QA = cA× mA× (ΔT)A
and for object B:
QB = cB× mB× (ΔT)B
You know:
Object A has double the specific heat of object B. ⇒ cA= 2× cB
Object A has triple the mass of object B. ⇒ mA= 3× mB
If the same amount of heat is applied to both objects ⇒ QA= QB
Then:
cA× mA× (ΔT)A= QB = cB× mB× (ΔT)B
2× cB × 3× mB× (ΔT)A= cB× mB× (ΔT)B
Solving:
6× cB × mB× (ΔT)A= cB× mB× (ΔT)B
(ΔT)A= (cB× mB× (ΔT)B) ÷ (6× cB × mB)
(ΔT)A= (ΔT)B
Finally, the temperature change of A will be one sixth of the temperature change of B.
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A ball is dropped from a height of 23 meters. Find the velocity of the ball just prior to
striking the ground.
round to nearest hundreds
21.168 m/s velocity of the ball just prior to striking the ground.
Round to nearest hundreds is 21.17
What is the meaning of velocity?The direction of the movement of the body or the object is defined by its velocity. Most of the time, speed is a scalar quantity. In its purest form, velocity is a vector quantity. It measures how quickly a distance changes. It is the rate at which displacement is changing.
“equations of motion”
How long does it take?
s = ut + ½ at²
23 m = 0 + ½ *9.81m/s² * t²
23 m = 4.905 t²
t² = 23 / 4.905
t² = 4.689
t =2.165s
What velocity will it hit the ground?
Take ↓ direction as +
v = u + at
v = 0 + 9.81 m/s² * 2.16 s
v =21.168 m/s
Velocity = 21.168 m/s downwards. ( have left you to decide on significant digits in the answer.
round to nearest hundreds is 21.17
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a swan on a lake gets airborne by flapping its wings and running on top of the water. (a) if the swan must reach a velocity of 5.80 m/s to take off and it accelerates from rest at an average rate of 0.305 m/s2, how far (in m) will it travel before becoming airborne?
The swan will travel 55.15 m during uniform motion before becoming airbone.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
vo = 0 m/s
vt = 5.8 m/s
a = 0.305 m/s²
By using the second equation, we can calculate the distance before becoming airbone
vt² = vo² + 2a . s
5.8² = 0² + 2 . 0.305 . s
0.61s = 33.64
s = 55.15 m
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dan left the white house and drove toward the recycling plant at an average speed of 40 km/h. rob left some time later driving in the same direction at an average speed of 48 km/h. after driving for five hours rob caught up with dan. how long did dan drive before rob caught up?
Dan drove for 6 hours before catching up with Rob who left his home sometime later than Dan.
Dan left the white house and drove toward the recycling plant at an average speed of 40 km/h. Let d1 be Dan's start in km.
Rob left some time later driving in the same direction at an average speed of 48 km/h. Let d2 be rob's start in km.
Let t1 be the time between dan and rob's leaving.
After Rob leaves, Dan travels around 40×5 =200km.
During the same time, rob travels a distance of
48×5=240km
d1= 240-200
= 40 km
t1 = 40/40 = 1
So Dan traveled 1 more hour, which means he traveled for 6 hours.
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in a simple electric circuit, ohm's law states that , where v is the voltage in volts, i is the current in amperes, and r is the resistance in ohms. assume that, as the battery wears out, the voltage decreases at 0.03 volts per second and, as the resistor heats up, the resistance is increasing at 0.03 ohms per second. when the resistance is 400 ohms and the current is 0.04 amperes, at what rate is the current changing?
Current is dwindling at 0.125 , where v is the voltage in volts, i is the current in amperes, and r is the resistance in ohms
Voltage = Current * Resistance ,
The Ohm's law is given by
V = IR eq. 1
Where V is the voltage across Resistance R and I is the current flowing through the Resistance R
Taking outgrowth of eq. 1 with respect to time t yields
dV/ dt = I * dR/ dt dI/ dt * R
dI/ dt * R = - I * dR/ dt dV/ dt
dI/ dt = (- I * dR/ dt dV/ dt)/ R eq. 2
Now substitute the given values into eq. 2
dI/ dt = (-0.02 *0.04(-0.02)) 300
dI/ dt = (-0.0008-0.02)/ 300
dI/ dt = -0.0208/ 300
Charge will go via the external circuit if the two conditions of an electrical circuit are satisfied. Flow of charge is appertained to as a current. In this case, the word" current" simply means that" charge is moving," indicating that commodity is taking place in the cables. The physical property of current, still, may be measured and quantified. The quantum of charge that moves past a point on a circuit at a given time is called current as a physical volume. The quantum of charge Q travelling through a line's cross section in a given quantum of time, as shown in the illustration below, can be measured to determine the current in a circuit.
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Your community is considering building a dam on a nearby river to reduce flooding. Would you support this proposal? Explain
Yes I would support the proposal of building a dam on a nearby river to reduce flooding.
What is flooding?Flooding is defined as the over spreading of water beyond the banks of a water body or the covering of a large area of land with uncontrolled flow of water.
A dam is a structure that is usually constructed over a flowing water body such as a river, to withhold water which can be diverted for the generation of electricity.
The construction of dam over a water body that usually overflows and floods an area can help control water spread as it's diverts the excess water for other purposes.
Therefore, I would support the proposal that a dam on the nearby river should be constructed.
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lighting produces a maximum air temperature of the order of 104 k, whereas a nuclear explosion produces the temperature of the order of 107 k. find at what wavelength the radiation from these sources is maximal.
At wavelength 2.898 x 10^-7 m radiation is maximum in UV region and at wavelength 2.898x 10^-10 meter in X ray region.
What is wavelength and at what wavelength the radiation from these sources is maximal?Wavelength is the measure of distance or the length of given material either in a vaccum or a medium.Now this question is asking about wavelength of the randiation from the sources.Given is the temperatures of lightning and nuclear explosion be 104K, and 107 K respectively.Applying weins displacemnt law lambda=b/T we will get the value as 2.898 x 10^-7 and 2.898 x 10^-10 meters respectively to be the wavelength.To know more about wavelength visit:
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Two identical clocks are set to 12 noon time when on the ground at rest relative to the ground. One clock is placed in a spacecraft, sent into space and accelerated to a speed of v = 0.93 x 108 m/s. What will the moving clock read if the first clock reads 6 p.m.? Express your answer as the number of minutes from 6 pm.
First, for this problem, we will need to know the formula for time dilation
[tex]t=\frac{t_0}{\sqrt{1-\frac{v^2}{c^2}}}[/tex]Where t is the time in the reference frame on earth
t0 is the time on the ship
v is the velocity relative to lightspeed
and c is light speed in a vacuum
For this problem, we will need to convert .93x10^8 to a fraction of light speed.
.93x10^8 = .31c
Now, we can plug in the numbers we get from the given
t0 = 6 hours since the ship has been in the air for 6 hours
[tex]t=\frac{6}{\sqrt{1-\frac{(.31c)^2}{c^2}}}[/tex]t = 6.31089
For the answer to be valid, we will convert .31089 to minutes by multiplying it by 60 (60 minutes in a hour)
18.654 minutes
What two pieces of information would you need in order to measure the masses of stars in an eclipsing binary system?.
The two pieces of information would you need in order to measure the masses of stars in an eclipsing binary system include the following below:
The time between eclipses.The average distance between the stars.What is Eclipsing binary system?This refers to the different process which occurs in the solar system in which two close stars move in an orbit in space in relation to Earth such that the light of one can at times be hidden behind the other.
The masses of stars can be measured in this system through measuring the time between the eclipses so so to ascertain the accurate differences observed.
The average distance between stars provide more information about mass as a lighter one will most likely be faster which is therefore the reason why it was chosen as the correct choice.
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Answer:
Time between eclipses and the average distance between the stars
Explanation:
alex throws a 0.25-kg rubber ball down onto the floor. the ball's speed just before impact is 4.5 m/s, and just after is 2.9 m/s. what is the change in the magnitude of the ball's momentum?
If Alex throws a 0.25-kg rubber ball down onto the floor, the ball's speed just before impact is 4.5 m/s, and just after is 2.9 m/s.The change in the magnitude of the ball's momentum is 1.85 [tex]kg \frac{m}{s}[/tex]
Calculation
Change in momentum= [tex]mv_{1} -mv_{2}[/tex]
where, m is mass of the object, m= 0.25 kg
[tex]v_{1}[/tex] is velocity before collision, [tex]v_{1}[/tex] = 4.5 m/s
[tex]v_{2}[/tex] is velocity after collision, [tex]v_{2}[/tex] = 2.9 m/s
therefore, [tex]mv_{1} -mv_{2} =m(v_{1}-v_{2} )[/tex]
⇒0.25(4.5-(-2.9)) = 0.25(4.5 + 2.9) = 0.25* 2.4
= 1.85 [tex]kg\frac{m}{s}[/tex]
What is momentum?The definition of momentum is "mass in motion." Since every item has mass, if it is moving, it must have momentum because its mass is in motion. The amount of motion and the speed of the motion are the two factors that determine how much momentum an item possesses. The factors mass and velocity affect momentum. According to an equation, an object's momentum is determined by multiplying its mass by its velocity.Momentum = mass * velocityMass times velocity would be the units for momentum. The kg*m/s is the common metric unit for momentum.To learn more about momentum, refer to https://brainly.com/question/402617
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An atmospheric layer of a specific gas provides shielding from harmful ultraviolet light from the sun, allowing life to thrive on earth. What gas makes up this layer?.
Since stratospheric ozone shields life on Earth from harmful ultraviolet (UV) radiation, it is frequently referred to as "good" ozone.
How does the atmosphere safeguard life on Earth?It not only has the oxygen we require to survive, but it also shields us from dangerous UV sun radiation. It generates the pressure necessary for liquid water to exist on the surface of our planet. Additionally, it heats our planet and maintains conditions that allow life to exist on Earth.
The ozone layer, located higher up in the stratosphere, absorbs solar ultraviolet radiation and modulates the amount of heat that is returned to space from the Sun. Overexposure to UV radiation may cause sunburn, skin cancer, and eye damage. The ozone layer protects humans from these negative consequences.
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the combination of crumple zones and air bags and seat belts might increase the distance over which a person stops in a collision to as much as 1.00 mm . what is the force exerted on a 65.0- kgkg driver who decelerates from 18.0 m/sm/s to rest over a distance of 1.00 mm ?
From Newton's second law of motion,
F = ma
We know m = 65 kg. Next, we have to find a through this formula:
v² = v₀² + 2ad
0² = (18 m/s)² + 2(a)(1 m)
Solving for a,
a = -162 m/s²
So,
F = (65 kg)(-162 m/s²) = -10,530 Newtons.
A crumpled zone in the front of the car gradually slows the car down and increases the braking time. A safety cell is a rigid cage that prevents passengers from becoming trapped. Inside the car seat belts and airbags prevent the driver from hitting the windshield steering wheel and dashboard.
Crumple zones are typically found in the front and rear of a vehicle and are designed to crumple and crush under high-force impacts. The Crumple Zone transfers a portion of the vehicle's kinetic energy during impact to a controlled crash while maintaining the integrity of the occupant cell.
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Tamara is playing a game of billiards. The white cue ball has a mass of 0.17 kg and all the other balls have a mass of 0.16 kg. The cue ball is moving at a velocity of 6 m/s when it collides with the number seven ball. If the cue ball comes to a complete stop after the collision, then what will the resulting velocity be on the number seven ball?
Tamara is playing a game of billiards. The white cue ball has a mass of 0.17 kg and all the other balls have a mass of 0.16 kg. The cue ball is moving at a velocity of 6 m/s when it collides with the number seven ball. If the cue ball comes to a complete stop after the collision, then the resulting velocity of the number seven ball will be 6.375 m/s
The law of conservation of momentum states that, within some problem domain, the amount of momentum remains constant; momentum is neither created nor destroyed, but only changed through the action of forces as described by Newton's laws of motion.
using law of conservation of momentum
initial momentum of the system = final momentum of the system
m1u1 + m2u2 = m1v1 + m2v2 equation 1
m1 = mass of cue ball
u1 = initial velocity of cue ball
m2 = mass of number seven ball
u2 = initial velocity of number seven ball
v1 = final velocity of cue ball
v2 = final velocity of number seven ball
substituting in equation 1
(0.17 * 6) + ( 0.16 * 0 ) = (0.17 * 0) + ( 0.16 * v2)
v2 = 6.375 m/s
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A student learns that a certain comet in the solar system is considered a short-period comet. Based on this knowledge, what is the student most justified in concluding?.
Based on this knowledge,he is most justified in concluding that the originates between the Sun and the asteroid belt.
Comets are frozen leftovers from the formation of the solar system composed of dust, rock, and ices. They variety from a few miles to tens of miles wide, however as they orbit in the direction of the sun, they warmth up and spew gases and dirt right into a sparkling head that can be large than a planet. This cloth bureaucracy a tail that stretches thousands and thousands of miles.
Asteroids lack the magnetic area and atmosphere that shield us on earth from harm. Living internal an asteroid is one way to defend your self from harmful radiation, it is expected that by tunneling 100 meters deep beneath an asteroid, people would be sufficiently shielded from radiation.
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4. for the experimental runs you made, calculate the expected acceleration using the expression you found with newtons second law of motion and the specific masses used. compare the figures with your experimental results. are the experimental acceleration values low or high? why?
As the mass of an object is increased, the acceleration of the object is decreased.
According to Newton's second law, an object's acceleration is determined by its mass and the net force that is acting on it. The body's acceleration is inversely related to its mass and directly proportional to the net force acting on it. This implies that as the force applied to an item increases, so does the object's acceleration. Similar to how an object's acceleration decreases as its mass increases, so do its mass.
As per Newton's second law of motion:
f = ma ------ (1)
f = (Δp) / t ⇒ Rate of change of momentum
f = (mu - mv) / t = [m(u - v)] / t ----- (2)
From equation (1) and equation (2) we get:
[m(u-v)] / t = ma
a = (u - v) / t
The experimental acceleration value will be less than the theoretical acceleration value. because it is impossible to sustain a constant rate of velocity change for an extended period of time. The difference between practical and theoretical acceleration will therefore be smaller.
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024 (part 1 of 3) 10.0 points
A 4.0 kg block is pushed 1.0 m at a constant
velocity up a vertical wall by a constant force
applied at an angle of 30.0
◦ with the horizontal, as shown in the figure.
The acceleration of gravity is 9.81 m/s
2
.
1 m
30◦
4 kg
F
Drawing not to scale.
If the coefficient of kinetic friction between
the block and the wall is 0.40, find
a) the work done by the force on the block.
Answer in units of J.
The work done on the force on the block is 23.516J
We are given that,
The mass of the block = m= 4.0 kg
The vertical component of the wall at an angle = sinθ = sin 30°
The horizontal component of the wall at an angle = cosθ = cos30°
The acceleration due to gravity = g = 9.81 m/s²
The coefficient of kinetic friction between the block and the wall= μ=0.40
So that to calculate the work done by the force on the block can be given by the expression, for vertical and horizontal component
Wf = Fycosθ
The Wf is the work done by the force Fy (on y-axis) on the block by the horizontal component,
Wf = Fxsinθ
The Wf is the work done by the force Fx (on x-axis) on the block by the vertical component,
Net Fy = sinθ N -mg =0
Net Fx = 0
Therefore, the work done by the force on the block can be assumed by above equations,
Wf = (mgdsinθ)/(sinθ - μcosθ)
Wf = (4.0kg)(1.0m)(9.81m/s²)/sin30° -(0.40)cos30°
Wf = 33.981/1.445 J
Wf = 23.516J
Thus , the work done by the force on the block would be 23.516J
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A student throws a rock upwards. The rock reaches a maximum height 2.4 seconds after it is released.
How fast was the rock thrown?
The rock reaches a maximum height in 2.4 seconds which implies the rock was thrown at a speed of 24m/s.
Let:
'u' be the initial velocity of rock thrownThe upward direction is considered as '+'veUsing the First equation of motion:
v = u + at
0 = u + (-10)(2.4)
0 = u + (- 24)
u = 24m/s
The First equation of motion establishes a relation between velocities and time. With the provided information, the most suitable equation which can be used to derive the answer is the First equation of motion.
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a 90.0-kg man is standing on a scale in an elevator that is accelerating upward at 2.00 m/s2. what will be the scale reading? a. 696 n ob. 788 n oc947 n od. 883 n oe. 1,060
The scale reading of a man standing on a scale in an elevator that is accelerating upward at 2.00 m/s2 is 788 N.
Acceleration is the price of change in the velocity of an object with the recognition of time. Accelerations are vector portions. The orientation of an item's acceleration is given by way of the orientation of the internet pressure acting on that item.
Acceleration is the price at which pace adjustments with time, in phrases of both speed and course. A factor or an object shifting in an immediate line is elevated if it hurries up or slows down. movement on a circle is expanded despite the fact that the rate is constant, due to the fact the path is constantly changing.
f = mg - ma
= 900 - 180
= 788 N
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7. Using Analogies Explain how the behavior
of popcorn in a popcorn popper can be used
as an analogy for the motion of gas particles.
The relative motion of gaseous particles increases with increase in the temperature of the gas molecules just like the motion of popcorn in a popper increases when heat is applied to the popper.
What is kinetic theory of gas?The kinetic theory of gases or matter states that matter consists of tiny particles which are constant motion, colliding with one another and with walls of the containing vessels.
Just like a popcorn in a popcorn popper pops when heat is applied to the popper, gases contained in a cylinder increases their speed when they acquire more kinetic energy as the temperature of the cylinder increases.
Thus, the motion of gas particles depends on the temperature of the containing vessel so also does the random motion of popcorn depends on the temperature of the popper.
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an object projected horizontally from a height flies through the air before hitting the ground. the path of the projectile in the air can be described as a
The path of the projectile is parabola projected horizontally from a height flies through the air before hitting the ground.
What is projectile and what is the path of projectile in air before hitting the ground?A projectile is an object that is compelled to move under the influence of external force.And then the projectile moves freely under the influence of gravity as in here too.Here an object is projected horizontally from a height flies through the air before hitting the ground.The path of the projectile before hitting the ground would be parabola in the air .Hence when an object projected horizontally from a height flies through the air before hitting the ground, the path of the projectile in the air is parabola.To know more about projectile visit:
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1. The subatomic particle with no electrical charge is the
2. The subatomic particle with a positive charge is the
3. The subatomic particle with a negative charge is the
4. There are the same number of these two particles in an atom
&
5. The atomic number is the same as the number of
To understand the questions, one should know the structure of an atom.
An atom is made up of some subatomic particles. These particles are positively charged, negatively charged and neutral particles.
The positive and negative charged particles neutralize the atom and the neutral subatomic particles are neutrons.
The answer to the questions are as follows:
1. The subatomic particle with no electrical charge is the "neutron".
2. The subatomic particle with a positive charge is the "proton".
3. The subatomic particle with a negative charge is the "electrons".
4. There are the same number of these two particles in an atom are "electrons" & "protons".
5. The atomic number is the same as the number of "protons" in an atom.
To sum up, an atom has different particles such as protons, electrons and neutrons. With protons being the positively charged, electrons are negatively charged and neutrons are neutral. Neutrons and protons are found in the nucleus and the electrons are spread around the nucleus.
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From the bob’s frame while it is in uniform circular motion what is the direction and magnitude of the inertial force it feels?.
Radially outward is both the direction and magnitude of the inertial force. as it is moving uniformly in a circle, from the bob's frame. Radially emanating from the source of the charge is an electric field that is positively charged.
Radially outward means This is so because an electric field is produced when a positive charge is forced by the field. The electric field pulls the positive charge with a force that is directed away from the charge's origin. It is called Radially outward.
In physics, magnitude is referred to as an object's maximal size and direction. Both vector and scalar values use magnitude as a common factor. We know that scalar quantities are those that have magnitude and nothing else by definition.
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g an angry rhino with a mass of 3000 kg charges directly toward you with a speed of 5.00 m/s. before you start running, as a distraction, you throw a 0.180 kg rubber ball directly at the rhino with a speed of 6.89 m/s. determine the speed of the ball (in m/s) after it bounces back elastically toward you.
Answer:
Duck to avoid the ball and dodge the rhino’s attack and then try and climb the nearest tree. Hope that helps.
Explanation:
For me I’d say it’d be instinct for the answer.
the most common type of topographic map is created by the USGS is a 7.5-minute by 7.5-minute quadrangle map (figure 3.18). this means that each side of the map is 7 minutes and 30 seconds. each minute of latitude is 1852 meters and each second of latitude is 31 meters. how many meters does this map cover in a north-south direction?
Answer: I think it's 13,000 meters
Explanation:
a cats purple crinkle ball toy of mass 20g is throwwn straight up in the air with an initial speed of 4m/s. assume in this problem that air grad is negligible. what is the kinetic energy of the ball as it leaves the hand?
When the ball leaves the hand, it's kinetic energy is 160 Joules.
The kinetic energy of object is due to its virtue of motion. So, as the ball leaves the hand, it is in motion. The formula representing kinetic energy is: K.E. = 1/2×m×v², where K.E. is kinetic energy, m is mass and v is velocity.
Keep the values in formula to find the kinetic energy of the ball.
K.E. = 1/2×20×4²
Taking square on Right Hand Side of the equation
K.E. = 1/2×20×16
Performing multiplication and division on Right Hand Side of the equation
K.E. = 160 Joules
Thus, kinetic energy of ball is 160 Joules.
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What is the magnitude of the x-component of force ?
ANSWER
EXPLANATION
If force F keeps the object in equilibrium
Answer:
See below
Explanation:
Find the x components of all of the forces shown, add them together, the x-component of the force F will be exactly opposite ( same magnitude but 180 degrees different)
30 cos 55 + 40 cos 205 + 50 cos 320 = 19.26 <====x component sum of all of the forces shown
F (the x component of ) will be Either - 19.26 At zero degrees
Or 19.26 at 180 degrees
Two helium isotopes fuse to form beryllium, as shown below. The mass of beryllium is 2.73 x 107 kg less than the combined mass of the two helium atoms. How much energy was produced during this reaction? The speed of light is 3 x 108 m/s. Show your work. Use E = mc².
3/2He+ 4/2He → 7/4Be
A chemical element with the symbol Be and atomic number 4 is known as beryllium. Beryllium is a solid at room temperature and is categorized as an alkaline earth metal. The molar mass of beryllium (atomic number 4) is 9.012 g/mol. Accordingly, if all 6.22x1023 Beryllium atoms were put together in a mole, they would weigh 9.012g on a triple beam balance.
Explain about the mass of beryllium?
The atomic mass unit serves as the unit of measurement for mass (amu). A mass unit of an atom is 1.66 x 10-24 gram. The mass of one nucleon, which can be either a single proton or neutron, is roughly equal to one unified atomic mass unit, which is numerically equivalent to 1 g/mol.
In the aircraft industry in particular, beryllium is employed in gears and cogs. A silvery-white metal is beryllium. It has a low density and is relatively soft. Gyroscopes, springs, electrical contacts, spot-welding electrodes, and non-sparking tools all use beryllium in alloys with copper or nickel.
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The lift reaches a steady upward speed.
State the value of the force exerted on the woman by the floor at this steady
speed.
please quick
The value of force exerted on the women will be normal of the lift in positive x direction .
Acceleration is defined as change of velocity divided by time.
Since lift is moving upward at a steady speed , that means no change of speed has been taken place . hence no acceleration.
There is no external acceleration acting on the lift . Hence there will be two forces, one is the force of gravity and the other is upward normal force from the elevator.
N = mg if the elevator is at rest or moving at constant velocity
The value of force exerted on the women will be normal of the lift in positive x direction
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if instead the same ball is used and the rope is shortened; that is, if rope 3 is half the length of rope 1, what is the tension t1 in the rope compared to the tension t3 in the shorter rope?
The tension in the shorter rope is double the tension in the longer rope T1<T3.
What is tension?
In physics, tension is defined as the pulling force that is transmitted axially by a string, rope, chain, or similar object, or through each end of a rod, truss member, or other comparable three-dimensional object. Tension can also be defined as the activity pair of forces acting at every end of the aforementioned elements. The polar opposite of compression might be tension. When atoms or molecules have been pulled apart from one another at the atomic level and gain potential energy while a restoring force is still present, the restoring force may produce what is also known as tension. When a string or rod is under such tension, each end may pull on the thing it is attached to in an attempt to release the tension and return the string or rod to its relaxed length.
The relation between the tension in the string and the length of the tetherball is,
mol=T The length of the rope 3 is half of the length of the rope 1.
Therefore mw^2l=T T∝l
The length of the rope 3 is half of the length of the rope 1.
Therefore l1=l3/2T1=T3/2T1<T3
Hence, the answer is T1<T3
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thermal energy 1. causes the mass of a body to increase. 2. decreases as the temperature of a body increases. 3. is characterized by the random motion of molecules. 4. is the only form of energy that can be transformed into work with 100% efficiency.
Thermal energy 3. is characterized by the random motion of molecules.
In the field of physics, thermal energy can be described as the internal energy present inside an object or system.
The thermal energy present in the molecules of an object causes the molecules to move randomly. It is the energy that causes random motion in atoms.
If the thermal energy keeps on increasing, the movement of molecules also keeps on increasing.
For example, the molecules in water have lower thermal energy initially due to which they show lesser random motion. As we increase heat, the thermal energy increases causing the random motion to increase and water turns into steam as we keep on increasing the thermal energy.
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