Question

Olive Udadi visits Flick Park with her Dad. Her mass is 21.3 kg. She slides down a slide that makes an angle of 21.3° with the horizontal. The coefficient of friction between Olive's shorts and the slide is 0.295. What is Olive's acceleration?

Answer 1

To find Olive's acceleration, we can calculate the force of friction and use Newton's second law.

Step-by-step explanation:

To find Olive's acceleration, we need to determine the forces acting on her. The only force in the horizontal direction is the force of friction, which can be calculated using the coefficient of friction.

The force of friction can be found by multiplying the coefficient of friction by the normal force, which is equal to the weight of Olive. The weight can be calculated using the mass and the acceleration due to gravity (9.8 m/s²).

Once we have the force of friction, we can apply Newton's second law, which states that the net force on an object equals its mass times its acceleration. In this case, the net force is equal to the force of friction. Rearranging the formula, we can solve for acceleration: acceleration = net force / mass.