Question

The acceleration of a cart rolling down a ramp depends on __________. The acceleration of a cart rolling down a ramp depends on __________. both the angle of the ramp and the length of the ramp the length of the ramp the angle of the ramp neither the angle of the ramp or the length of the ramp

Answer 1

Answer:angle of ramp

Explanation:

The acceleration of a cart rolling down a ramp depends on the angle of the ramp and not on the length of the ramp.

Let the car have wheel in form of thin cylinder, therefore its acceleration is given by

$a=\frac{gsin\theta }{1+\frac{I}{mr^2}}$

where

a=acceleration

g=acceleration due to gravity

I=moment of inertia of the wheel

m=mass of wheel

r=radius of wheel

$\theta$=angle made by ramp with the horizontal

In above term there is no sign of length of ramp thus it is independent of it.