Question

A sled plus passenger with total mass 64 kg is pulled 13 m across the snow ( μ k = 0.18 ) at a constant velocity by a force directed 25o above the horizontal. What is the force applied to the sled?

Answer 1

The force applied to the sled is 126.08 N.

Step-by-step explanation:

To calculate the force applied to the sled, we first need to calculate the frictional force acting on the sled. The frictional force can be calculated using the equation:

frictional force = coefficient of friction * normal force

Since the sled is being pulled at a constant velocity, the force applied to the sled is equal in magnitude and opposite in direction to the frictional force. Therefore, the force applied to the sled is the same as the frictional force.

To find the normal force, we can use the equation:

normal force = mass * gravitational acceleration

Using the given information, we can calculate the frictional force, which is equal to the force applied to the sled:

frictional force = 0.20 * (mass * gravitational acceleration)

Now, substituting the given values into the equation:

force applied to the sled = 0.20 * (64 kg * 9.8 m/s^2)

Calculating the force applied to the sled:

force applied to the sled = 126.08 N