Question

5. A box is released on a smooth incline, which makes an angle of 37o with...

5. A box is released on a smooth incline, which makes an angle of 37o with respect to the horizontal.
a) What is the boxs acceleration?

b) The box starts from rest and slides a distance (along the incline) of 75 cm to the bottom of the ramp. What is the speed of the box at the bottom?

c) The mass of the box is 100 g. When it gets to the bottom it compresses a spring with a force constant 1000 N/m. What is the maximum compression of the spring?

Homework Answers

Answer #1

(a) = 37 deg

Acceleration of the box, a = g*sin = 9.8*sin37 = 5.9 m/s^2

(b) distance traveled by the box along the incline, d = 75 cm = 0.75 m

So, velocity of the box at the bottom, v = sqrt[2*a*d]

= sqrt[2*5.9*0.75] = 2.97 m/s (Answer)

(c) Mass of the box, m = 100 g = 0.10 kg

Kinetic energy of the box at the bottom, KE = (1/2)*m*v^2

this energy will be stored in the spring as spring energy.

Spring energy, SE = (1/2)*k*x^2

apply conservation of energy -

KE = SE

=> (1/2)*m*v^2 = (1/2)*k*x^2

=> x^2 = [m*v^2] / k = [0.10*2.97^2] / 1000

=> x = 0.0297 m (Answer)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A 20.0 kg box (200 N) rests on an incline. The surface makes an angle of...
A 20.0 kg box (200 N) rests on an incline. The surface makes an angle of 22.62° with the horizontal and has µk = 0.62 and µs = 0.81. A) A horizontal force with a magnitude of 400 N acts on the box. Does the box move? If not, why not? If it does, what is its acceleration B) What minimum horizontal force is required to keep the box from sliding down the incline?
A box with mass m = 1.2kg on an inclined frictionless surface is released from rest...
A box with mass m = 1.2kg on an inclined frictionless surface is released from rest from a height h = 1.35 m . After reaching the bottom of the incline the box slides with friction (μk=0.2) along a horizontal surface until coming to a rest after a distance d. 1. Draw a free body diagram for the box while it is on the incline. Clearly label all forces with standard names. 2. Draw a free body diagram for the...
A 30kg box is let go on a ramp that is inclined at an angle of...
A 30kg box is let go on a ramp that is inclined at an angle of 30 degrees from the horizontal plane.If the friction coefficient is 0.5, how much work has been performed by this frictional force over a distance of 34 m as the box slides down the ramp. What is the acceleration of the box along the surface?
A 20.0 kg box (200 N) rests on an incline.  The surface makes an angle of 22.62°...
A 20.0 kg box (200 N) rests on an incline.  The surface makes an angle of 22.62° with the horizontal and has µk= 0.62 and µs= 0.81. A)         A horizontal force with a magnitude of 400 N acts on the box.  Does the box move?  If not, why not?  If it does, what is its acceleration? B)         What minimum horizontal force is required to keep the box from sliding down the incline?
Name:__________________________________________Section____ A block of mass ? = 12.0 kg is released from rest on an incline...
Name:__________________________________________Section____ A block of mass ? = 12.0 kg is released from rest on an incline angled at θ = 30 degrees. The block slides down and incline of length ? = 1.40 m along the incline, which has a coefficient of kinetic friction between the incline and the block of ?? = 0.180. The block then slides on a horizontal frictionless surface until it encounters a spring with a spring constant of ? = 205 N/m. Refer to the...
A 12.0-kg box is released from the top of an incline that is 5.00 m long...
A 12.0-kg box is released from the top of an incline that is 5.00 m long and makes an angle of 40.0o to the horizontal ground. A 60.0-N friction force is acted on the box to impede the motion of the box. A) Draw a free body diagram to show all the forces acting on the box. B) What would be the acceleration of the box? C) How much force (in N) parallel to the slope of incline is required...
A 8 kg block slides down a frictionless incline making an angle of 20◦ with the...
A 8 kg block slides down a frictionless incline making an angle of 20◦ with the horizontal. The acceleration of gravity is 9.81 m/s2 . a) Find the work done by the gravitational force when the block slides 5.9 m (measured along the incline). b) What is the total work done on the block? c) What is the speed of the block after it has moved 5.9 m if it starts from rest? d) What is its speed after 5.9...
A box of mass 14 kg sits at rest on a ramp that makes an angle...
A box of mass 14 kg sits at rest on a ramp that makes an angle of 30 degrees with the horizontal. The coefficient of static friction between the box and the ramp is 0.88. What is the magnitude of the frictional force between the box and the ramp?
1) A block is released from point A and it slides down an incline (theta =...
1) A block is released from point A and it slides down an incline (theta = 30 degrees) where the coefficient of kinetic friction is 0.3. It goes 5m and hits a spring with a spring constant k = 500 N/m. While it is being acted upon by the spring, assume it is on a frictionless surface. a) How far is the spring compressed? b) How far does the block go up the plane on the rebound from the spring?...
A 10 kg box was lying on a smooth surface. A rope was connected to the...
A 10 kg box was lying on a smooth surface. A rope was connected to the box. The box was pulled by the rope at angle of 30° with the horizontal.    What applied force will keep the box moving upward at a constant speed? A 10 kg box was resting on an inclined rough surface, which makes an angle of 30° with the horizontal. The coefficient of kinetic friction between the surface and the box is 0.4. The box was...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT