Question

In: Physics

An empty sled of mass 25 kg slides down a muddy hill with a constant speed...

An empty sled of mass 25 kg slides down a muddy hill with a constant speed of 2.4 m/s. The slope of the hill is inclined at an angle of 15

Solutions

Expert Solution

Calculate the time it takes the sled to go 21 m down the slope?

To calculate the time, use the following equation.

d = v * t
21 = 2.4 * t
t = 21/2.4 = 0.875 seconds

B) Calculate the coefficient of friction between the sled and the muddy surface of the slope?

Since sled is moving at a constant speed, the net force is 0 N. This means the force parallel is equal to the friction force.

Force parallel = 25 * 9.8 * sin 15 = 245 * sin 15
Ff = ? * 25 * 9.8 * cos 15 = ? * 245 * cos 15
? * 245 * cos 15 = 245 * sin 15
Divide both sides by 245 * cos 15.
? = tan 15

The sled reaches the bottom of the slope and continues on the horizontal ground. Assume the same coefficient of friction.

i) in terms of velocity and acceleration, describe the motion of the sled as it travels on the horizontal ground.

When the sled reaches the bottom of the slope, its velocity is 2.4 m/s. The friction force causes the sled


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