A 16kg sled starts up a 28 degree incline with a speed of 2.4 m/s . The coefficient of kinetic friction is = 0.27.
part a)How far up the incline does the sled travel?

part b)What condition must you put on the coefficient of static friction if the sled is not to get stuck at the point determined in part (a)? i got 0.53.

part c)If the sled slides back down, what is its speed when it returns to its starting point

can you please do me a favor and write out the work and the final answer. for some reason when i do it it comes out with the wrong final answer.

1. 👍 0
2. 👎 0
3. 👁 2,689
1. ke at bottom = (1/2) m v^2 = .5*2.4^2 * m
= 2.88 m

work done going distance x up ramp
= mu m g cos 28 x = .27*9.8*cos 28 * m
= 2.34 m x

Pe at top = m g h = m*9.8*x *sin 28
= 4.60 m x
so
4.60 x = 2.88 - 2.34 x
x = .415 meters (note mass does not matter)

b)
m g sin 28 = mu m g cos 28
tan 28 = mu
mu = .532 agree

c) work done = twice work going up
=2*2.34 m x = 4.68 m x = 4.68*.415 m
= 1.94 m
so
Ke = initial Ke - work done by friction
(1/2) m v^2 = 2.88 m - 1.94 m
v^2 = 1.88
v = 1.37 m/s

1. 👍 2
2. 👎 0
2. thank you. really appreciate it

1. 👍 0
2. 👎 0

## Similar Questions

1. ### physics

A sled slides without friction down a small, ice-covered hill. If the sled starts from rest at the top of the hill, its speed at the bottom is 7.60 m/s. What is the height of the hill?

2. ### Physics

A block slides down a frictionless plane having an inclination of θ = 13.2°. The block starts from rest at the top, and the length of the incline is 1.70 m. -> Find the acceleration of the block. (m/s2 down the incline) -> Find

3. ### Physics

The kinetic energy K of an object of mass m moving at a speed v is defined as K=(1/2)mv^2. It seems reasonable to say that the speed of an object--and, therefore, its kinetic energy--can be changed by performing work on the

4. ### physics

Suppose the ski patrol lowers a rescue sled and victim, having a total mass of 95.0 kg, down a θ = 50.0° slope at constant speed. The coefficient of friction between the sled and the snow is 0.100. (a) How much work is done by

1. ### physics

A girl coasts down a hill on a sled, reaching the bottom with a speed of 8.6 m/s. The coefficient of friction between the sled's runners and the snow is 0.050, and the girl and sled together weigh 670 N. How far does the sled

2. ### Physics

a sled starts from rest and slides down a 38.0 degree frictionless hill for 4.24 seconds. How fast is it going at the end

3. ### Physics

A sled starts from rest at the top of a hill and slides down with a constant acceleration. At some later time it is 14.4 m from the top; 2.00 s after that it is 25.6 m from the top, 2.00 s later 40.0 m from the top, and 2.00 s

4. ### Physics

A ski starts from rest and slides doen a 22 degree incline 75m long. a) if the coefficient of friction is 0.090, what is the ski's speed at the base of the incline? b). If the snow is level at the foot of the incline and has the

1. ### physics

Two 21.0 kg ice sleds are placed a short distance apart, one directly behind the other, as shown in the figure. A 3.42 kg cat, initially standing on sled 1, jumps across to sled 2 and then jumps back to sled 1. Both jumps are made

2. ### physics

A child and sled with a combined mass of 50.0 kg slide down a frictionless slope. If the sled starts from rest and has a speed of 3.40 m/s at the bottom, what is the height of the hill?

3. ### Physics

A horse draws a sled horizontally across a snow-covered field. The coefficient of friction between the sled and the snow is 0.195, and the mass of the sled, including the load, is 202.4 kg. If the horse moves the sled at a

4. ### physics

A child and sled with a combined mass of 53.0 kg slide down a frictionless hill that is 7.63 m high. If the sled starts from rest, what is its speed at the bottom of the hill?