# physics

posted by .

a mass is released from rest from a height of 4m. it slides down a frictionless ramp then along a 20 degree incline section of rough track. how far does it slide along the incline before coming to rest?

friction coeficient= .2
? help!

thanks!

• physics -

The first thing is to figure the height it fell.

Let the ramp be length L along the sliding service, and d the distance it slid.

Final height h= (L-d)/cos20

height it fell then total is
Heightfell=4-(L-d)/cos20
energy used in stopping is
weight normal*mu*distance
mgcos20*.2*d
so, using energy...

1/2 m(4-(L-d)/cos20)=mgcos20*.2*d
so solve for d. You didn't mention L, the length of the ramp, but you have to have it.

## Similar Questions

1. ### physics

A 100 kg mass starts from rest at the top of an incline plane that makes an angle of 35 degrees with the horizontal. There is a coefficient of friction of 0.005 between the ramp and the mass. The mass slides down the ramp and then …
2. ### physics

[20 pts] A 2.00 kg block is pushed against a spring with negligible mass and force constant k = 400 N/m, compressing it 0.220 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless …
3. ### Science

A block is released from rest on a 45 degree incline and then slides a distance "d". If time taken to slide a rough incline in "n" times as large as that to slide on a smooth incline. Find the coefficient of friction.
4. ### physics

A 0.50-kg block, starting at rest, slides down a 30.0° incline with kinetic friction coefficient 0.30 (the figure below). After sliding 84 cm down the incline, it slides across a frictionless horizontal surface and encounters a spring …
5. ### physics

A 0.50-kg block, starting at rest, slides down a 30.0° incline with kinetic friction coefficient 0.30 (the figure below). After sliding 84 cm down the incline, it slides across a frictionless horizontal surface and encounters a spring …

A 0.50-kg block, starting at rest, slides down a 30.0° incline with kinetic friction coefficient 0.30 (the figure below). After sliding 84 cm down the incline, it slides across a frictionless horizontal surface and encounters a spring …
7. ### Physics

If a frictionless incline has a difference in height from one end to the other of 19.5 cm and has a length along the incline of 1.36 m, find the time it takes for a block of 1.1 kg, starting from rest, to slide down the ramp from the …
8. ### Physics

A block of mass 12.0 kg is initially sitting at rest on a 30.0o incline. There is a spring mounted to the ramp with spring constant k = 13500 N/m. The block is released to slide down the incline and comes to a stop momentarily after …
9. ### physics

I am having great difficulty with this question. A block is placed on a frictionless ramp at a height of 12.5 m above the ground. Starting from rest, the block slides down the ramp. At the bottom of the ramp, the block slides onto …
10. ### Physics

A block is placed on a frictionless ramp at a height of 14.5 m above the ground. Starting from rest, the block slides down the ramp. At the bottom of the ramp, the block slides onto a frictionless horizontal track without slowing down.At …

More Similar Questions