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

The acceleration of a cart rolling down a ramp is primarily influenced by the angle of the incline and gravitational acceleration, but in practical scenarios, friction and other factors also play a role. The final velocity as the cart leaves the ramp is a function of the acceleration and the distance over which it acts.

Step-by-step explanation:

The acceleration of a cart rolling down a ramp depends on several factors, including the angle of the incline and the presence of friction. When considering a cart on a frictionless inclined plane, the acceleration only depends on the angle of the ramp and gravitational acceleration. However, in real-world scenarios, factors such as friction, the mass of the cart, and the initial velocity may also play a role. Acceleration is directly related to the sine of the angle of the incline. Furthermore, the final velocity of the cart as it leaves the ramp would depend on both the acceleration of the cart down the ramp and the distance over which the acceleration acts. In the absence of air resistance, all objects slide down a frictionless incline with the same acceleration if the angle is the same. Also, linear and angular accelerations are directly proportional, with the radius of wheels also affecting the acceleration.

Answer 2

Answer:angle of ramp

Step-by-step 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=(gsin\theta )/(1+(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.