A small block, with a mass of 250 g, starts from rest at the top of the apparatus shown above. It then slides without friction down the incline, around the loop, and then onto the final level section on the right. The maximum height of the incline is 80 cm, and the radius of the loop is 15 cm.

a.) Find the initial energy of the block.

b.) Find the velocity of the block at the bottom of the loop.

c.) Find the velocity of the block at the top of the loop.

Answers

Answer 1

(a) The initial energy of the block due to its position is 1.96 J.

(b) The velocity of the block at the bottom of the loop is 3.96 m/s.

(c)  the velocity of the block at the top of the loop is 3.13 m/s.

Initial energy of the block

The initial energy of the block due to its position is calculated as follows;

P.E = mgh

P.E = 0.25 X 9.8 X 0.8

P.E = 1.96 J

Conversation of the energy

The velocity of the block at the bottom of the loop is determined by applying the principle of conservation of energy as shown below;

P.Ei + P.Ef = K.Ei + K.Ef

1.96 + 0 = 0 + ¹/₂mvf²

vf² = 2(1.96)/m

vf² = (2 x 1.96) / (0.25)

vf² = 15.68

vf = √15.68

vf = 3.96 m/s

Velocity of the block at top of the loop

The velocity of the block at the top is calculated by applying principle of conservation of energy,

P.Ei + P.Ef = K.Ei + K.Ef

1.96 = mghf + ¹/₂mvf²

where;

hf is the position of the ball at the top of the loop = 2r = 2 x 15 cm = 30 cm = 0.3

1.96 = 0.25 x 9.8 x 0.3   +   0.5 x 0.25vf²

1.225 = 0.125vf²

vf² = 1.225/0.125

vf² = 9.8

vf = 3.13 m/s

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Related Questions

Aresultant vector is the *blank* of two or more vectors.​

Answers

Answer:

Vector sum.

Adding two things together to make one is usually referred to as a sum, therefore, we can identify this as that.

how many types air
I need a formula of calculating the s i unti of force​

Answers

The si unit of force is newton.

so, F is eqal to m*g

Answer:

F=ma

Explanation:

force is actually a derived quantity

newton is a unit derived from kg.m/s^2

This is from Newton's second law of motion

F=ma


When a force is applied to a wheel, its axle exerts a greater force?

Answers

Answer:

That is true.

Explanation:

When the input force is applied to the wheel, as it is with a doorknob, the axle turns over a shorter distance but with greater force, so the mechanical advantage is greater than 1.

Which term describes living things?

A) We shiver when we get cold.
B) Moss on the side of the tree is active even though it looks still.
C) Human kidneys produce urine.
D) A rabbit gets nutrients from a carrot.

Answers

Answer:                                                                                    

Explanation:

                                                                                                         

A ball is dropped off of a building and falls past a window that is 2.2m long. If it takes .28s for the ball to cross the window what is the distance from the top of the building to the top of the window?

Answers

Answer:

oh what do you believe this one

478 J of work must be done to compress a gas to half its initial volume at constant temperature. How much work must be done to compress the gas by a factor of 12.0, starting from its initial volume?

I was thinking of using PV = W formula. Like

478 = P(V/2)
956 = PV

W = P(V/12)
12W/V = P
956 = (12W/V)(V)
956 = 12W
W = 79.66667 J

is this correct? could someone please help?

Answers

Answer:

Explanation:

I don't think so. Think about it. To compress the volume by a factor of 2 it takes 956 Joules.

Now you come along and you want to get the pressure for 1/12 of the volume. It's going to take a huge pressure to do that.

I would suggest that you have to use a modified form of the formula.

PV = 956

You need to compress the volume by 1/6

P(V/6) = 956

6 * PV/6 = 6 * 956

PV = 5736 J

Why did I only take 1/6? Because. 956 represents the pressure needed for 1/2 the volume. You need to multiply 1/2 * 1/6 to get 1/12

A grasshopper jumps at a 63.0 angle with an initial velocity of 4.22 m/s. how far away does it land

Answers

The grasshopper is 1.47 m far away from the point where it jumps to the point where its lands.

To calculate the distance of the landing point of the grasshopper to the point where its jumps, we use the formula of range.

What is horizontal range?

Range can be defined as the horizontal distance between the point of projection to the point where the projectile hit the plain again.

R = u²sin2∅/g........... Equation 1

Where:

R = Distance between the point of jump and the point at which it landsu = initial velocity∅ = angleg = acceleration due to gravity

From the question,

Given:

u = 4.22 m/s∅ = 63°g = 9.8 m/s²

Substitute these values into equation 1

R = (4.22)²sin(2×63)/9.8R = 1.47 m

Hence, The grasshopper is 1.47 m far away from the point where it jumps to the point where its lands.

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Examine the image below:
Which term describes the wave phenomenon in the image?

Answers

Answer:

C

Explanation:

Reflection.

Twelve identical point charges q are equally spaced around the circumference of a circle of radius R. The circle is centered at the origin. One of the twelve charges, which happens to be on the positive x axis, is now moved to the center of the circle.

A) Determine the magnitude of the total electric force exerted on this charge.
Express your answer in terms of Coulomb's constant k and the variables q and R .
F total = ?

B)Determine the direction of the total electric force exerted on this charge.
Express your answer as an integer.
θ = ? degrees

Answers

Answer:

For B it is 0

Explanation:

I think

A race car goes forward from 0 to a velocity of 80 m/s in 9.4 s. What is its acceleration?

Answers

Answer:

The average acceleration is about 8.51 m/s

Explanation:

     We can use the formula for acceleration to solve.

a = [tex]\frac{velocity_{final} -velocity_{start} }{time}[/tex]

a =  [tex]\frac{80-0}{9.4}[/tex]

a =  [tex]\frac{80}{9.4}[/tex]

a ≈ 8.51

Hold a spoon such that the water will hit the back of the spoon. The handle of the spoon will be horizontal. Turn on the water, but not full strength though.

Answers

This is an experiment that explains the Bernoulli principle. According to this principle, at the bottom of the spoon, there will be a reduction in pressure.

Explanation of the Bernoulli principle

So the pressure at the bottom of the spoon reduces because the velocity of the water is larger and the height of the column of water is smaller at this part.

So the spoon is attracted to the water at the point of lowest pressure because objects gravitate to low-pressure points.

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H H H O H O N C C N C C H O H H O H H C H H H ALANINE GLYCINE

What is the difference between these two amino acids?

Answers

i’m not 100 percent sure but I need points to ask questions good luck th

A wire is attached to the ceiling so that the current flows south to north. A student is standing directly below the wire facing north. What is the direction of the B-field (caused by the current in the wire) at this observation point

Answers

Answer:

If one wraps the fingers around the wire and points the thumb in the direction of the "conventional" current the fingers will point towards the North pole - the direction of the B-field.

In this case the B-field is pointed "West".

Sample Response: Yes, his graph is correct because it shows that as the average kinetic energy increases, so does the temperature. This is called a direct relationship. What did you include in your response? Check all that apply. As average kinetic energy increases, temperature also increases. The graph shows a direct relationship between average kinetic energy and temperature.

Answers

The graph will be correct, if it shows a direct relationship between average kinetic energy and temperature of the gas molecules.

What is average kinetic energy?

The average kinetic energy of a gas molecule is the energy possesed by the gas due to its relative motion.

Average kinetic energy of gas molecules has a direct relationship with temperature of the gas molecules. As the gas temperature increases, the kinetic energy of the gas increases and consequently, the speed of the gas increases as well.

Thus, the graph will be correct, if it shows a direct relationship between average kinetic energy and temperature of the gas molecules.

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Answer:

Select both

Explanation:

You included all needed information

_______ is an SI unit for mass.
A. mass
B. kilogram
C. newton
D. acceleration of gravity
E. weight

Answers

Answer:

B. kilogram

I hope this helps you

:)

Answer:

B. kilogram

Explanation:

When stated in the unit J s, which is equal to kg m2 s1, the kilogram (kg) is defined by considering the fixed numerical value of the Planck constant h to be 6.62607015 1034 when expressed in the unit J s, which is equivalent to kg m2 s1. The United States Prototype Kilogram 20, a platinum-iridium cylinder held at NIST, is the country's principal mass standard. The kilogram was initially known as the Kilogram of the Archives, and it was defined as the mass of one cubic decimeter of water at its greatest density temperature. It was superseded by the International Prototype Kilogram following the International Metric Convention in 1875, which became the unit of mass without reference to the mass of a cubic decimeter of water or the Archives Kilogram. National Prototype Meters and Kilograms were allocated to each country that signed the International Metric Convention. Learn more about the kilogram's history and current definition. The kilogram (kg) is the only SI basic unit whose name and symbol incorporate a prefix for historical reasons. The SI prefix for 1000 or 103 is "kilo." Prefix names and symbols are attached to the unit name "gram," and prefix symbols are attached to the unit symbol "g," to create names and symbols for decimal multiples and submultiples of the unit of mass. Find out more about this historical oddity.

Units of Mass

10 milligrams (mg) = 1 centigrams (cg)

10 centigrams = 1 decigrams (dg) = 100 milligrams

10 decigrams = 1 gram (g)

10 decigrams = 1000 milligrams

10 grams = 1 dekagrams (dag)

10 dekagrams = 1 hectogram (hg)

10 dekagrams = 100 grams

10 hectograms = 1 kilogram (kg)

10 hectograms = 1000 grams

1000 kilograms = 1 megagram (Mg) or 1 metric ton (t)

A body's mass is a measurement of its inertial property, or the amount of stuff it contains. The force imposed on a body by gravity or the force required to maintain it is measured by its weight. On Earth, gravity accelerates a body downward at around 9.8 m/s2. In the context of weights and measurements, weight is frequently used as a synonym for mass. The verb "to weigh," for example, meaning "to ascertain the mass of" or "to have a mass of." Weight should be phased out in favor of mass, and the term mass should be used when mass is indicated. The kilogram is the SI unit of mass (kg). The weight of a body in a given reference frame is defined in science and technology as the force that causes the body to accelerate at the same rate as the local acceleration of free fall in that reference frame. As a result, the newton is the SI unit for the amount weight defined in this way (force) (N).

Ways in which a teacher plays a role in the literacy development of the learners​

Answers

Answer:

encourage all attempts at reading, writing, and speaking

Explanation:

Place the following in order, from closest to furthest away:
A) The scattered disc; B) The Kuiper Belt; C) The Oort cloud

Answers

The order from closest to furthest away include the following:

The  Kuiper BeltThe  scattered discThe Oort cloud.

What is Kuiper belt?

This is the region which ends around 50 AU from the Sun and has the presence of the scattered disc in its outer surface.

The  Oort cloud has a distance of between 2,000 and 10,000 thereby making it the farthest which is why the correct order is B, A and C.

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the distibution on the condutor​

Answers

Answer:

The flow of electrons causes charge dispersion. Due to the ability of conductors to transmit electrons from one particle to another, a charged item will always spread its charge until the overall repulsive interactions between surplus electrons are minimized.

ions, giving canoe 1 a speed of 0.58 m>s and canoe 2 a speed of 0.42 m>s. If the

Answers

Answer:

Draw a table showing the different forms of the first law for the four processes described.

Momentum questions help

Answers

Answer:

a=25000 kg•m/s

b=1200 kg•m/s

c=what force?

Explanation:

for question a you multiply the mass which is 1000kg with velocity 25m/s.

for question b you multiply the force 60n with time 20s

the radius of a ball is increasing at a rate of 2 mm per second. how fast is the volume of the ball increasing when the diameter is 40 mm

Answers

Step 1: Define an equation that relates the volume of a sphere to its radius.

V = 4/3*π*r3

Step 2: Take the derivative of each side with respect to time (we will define time as "t").

(d/dt)V = (d/dt)(4/3*π*r3)

dV/dt = 4πr2*dr/dt

Step 3: We are told in the problem statement that diameter is 100m, so therefore r = 50mm. We are also told the radius of the sphere is increasing at a rate of 2mm/s, so therefore dr/dt = 2mm/s. We are looking for how fast the volume of the sphere is increasing, or dV/dt.

dV/dt = 4π(50mm)2*(2mm/s)

dV/dt = 62,832 mm3/s

the taipei 101 in taiwan is a 1667-foot tall, 101-story skyscraper. the skyscraper is the home of the world's fastest elevator. the elevators transport visitors from the ground floor to the observation deck on the 89th floor at speeds up to 16.8 m/s. determine the power delivered by the motor lift the 10 passengers at this speed. the combined mass of the passengers and cabin is 1250 kg

Answers

The power delivered by the motor lift in elevating the 10 passengers at the speed of 16.8 m/s is 205800 Watts

What is power?

Power is simply defined as the rate at which energy is consumed. It can be expressed mathematically as

Power (P) = Force (F) × velocity (v)

P = Fv

How to determine the force Mass (m) = 1250 KgAcceleration due to gravity (g) = 9.8 m/s²Force (F) =?

F = ma

F = 1250 × 9.8

F = 12250 N

How to determine the power Velocity (v) = 16.8 m/sForce (F) = 12250 NPower (P) =?

P = Fv

P = 12250 × 16.8

P = 205800 Watts

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Two people of equal mass attempt a tug-of-war with a 10 m long rope
while standing on ice. On pulling the rope, they both slide towards
each other. What will be the acceleration for each person?

Answers

Answer:

Explanation:

As the poster has noted above in comment, the acceleration for each person will be the same. This is because when they tugon the rope, there will be tension force on the rope pulling the two persons towards each other. The tension force will be the same for them. As they also have equal mass, by Newton's Second Law of Motion, Force = mass * acceleration, their acceleration will be the same.

what are the three gases our atmosphere is mainly composed of

Answers

Answer:

the three gases our atmosphere is mainly composed of are nitrogen oxygen and carbon

In absence of friction, to bring an object to rest
a. a force must act in the same direction of its direction of motion
b. a force may not be necessary
C. the object will come to rest by itself
d. a force must act in the opposite direction of its direction of motion

Answers

"An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force”

(This is not an awnser this is just some information hope it’s helpful)
D. without friction it won’t stop on its own. it needs a force acting in the opposite direction

Write any two differences between series combination and parallel combination of cells.

Answers

Answer:

Your answer is attached above

Hope it helps

TC

have a great time

A car accelerates to a speed of 55 m/s within the span of 8 seconds. If its acceleration
was 4 m/s2, what was its initial velocity? Show all work and units for full credit.

Answers

The initial velocity of a car that accelerates to a speed of 55 m/s within the span of 8 seconds is 23m/s.

How to calculate initial velocity?

The initial velocity of a moving body can be calculated using the following formula:

a = v - u/t

Where;

a = acceleration (m/s²)v = final velocity (m/s)u = initial velocity (m/s?t = time (seconds)

According to this question, a car accelerates to a speed of 55 m/s within the span of 8 seconds. If its acceleration was 4 m/s², the initial velocity is calculated as follows:

4 = 55 - u/8

32 = 55 - u

u = 55 - 32

u = 23m/s

Therefore, the initial velocity of a car that accelerates to a speed of 55 m/s within the span of 8 seconds is 23m/s.

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An object can not have a charge of?

Answers

Answer:

If an object is electrically neutral it has no net charge becuase it has the same number of protons as it does electrons, which are opposite charges that offset each other. No, that just means that the sum of all its positive and negative amounts of charge equals zero.

Explanation:

what is the constant snell’s law

Answers

Snell's law is defined as “The ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant, for the light of a given colour and for the given pair of media”.

Need help with the following - question 2

Answers

Answer:

Find the change in momentum of the upper stage, that is:

∆p = m(vf - vi)

m being the mass of the upper stage

vf being the final velocity which was given

vi being the initial which was also given

find ∆p

then use ∆p in the same equation

∆p being the answer you got above

m being the mass of the lower stage (given)

vi being the initial velocity (given)

vf being the final velocity of the lower stage which you were asked to find

Explanation:

During a collision the change in momentum (∆p) for both objects is equal regardless of their speeds or masses before or after the equation

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