Question

Starting from rest, a 9.50 kg suitcase slides 2.68 m down a frictionless ramp inclined at 40° from the floor. The suitcase then slides an additional 5.00 m along the floor before coming to a stop. (a) Determine the suitcase's speed at the bottom of the ramp. 5.8 Correct: Your answer is correct. m/s (b) Determine the coefficient of kinetic friction between the suitcase and the floor. Incorrect: Your answer is incorrect. (c) Determine the change in mechanical energy due to friction.

Answer 1

The speed of the suitcase at the bottom of the ramp is 5.8 m/s.

Step-by-step explanation:

To determine the suitcase's speed at the bottom of the ramp, we can use the principle of conservation of energy. The initial potential energy of the suitcase at the top of the ramp is converted into kinetic energy at the bottom of the ramp. The potential energy can be calculated using the formula:

Potential Energy = mass * gravitational acceleration * height

Since the ramp is frictionless, all the potential energy is converted into kinetic energy:

Kinetic Energy = (1/2) * mass * velocity^2

Setting these two equations equal to each other, we can solve for the velocity:

velocity = sqrt(2 * gravitational acceleration * height)

Plugging in the values, we get:

velocity = sqrt(2 * 9.8 * 2.68) = 5.8 m/s