Question

A motorcycle weighing 7300 N is parked on an 8.2 degree slope. What is the magnitude of the acceleration at which the motorcycle will roll downhill if its brake is released?

Answer 1

Given :

A motorcycle weighing 7300 N is parked on an 8.2 degree slope.

To Find :

The magnitude of the acceleration at which the motorcycle will roll downhill if its brake is released.

Solution :

We know, the acceleration due to gravity in the motorcycle is :

g = 9.8 m/s²

Now, component of acceleration along the slope is given by :

`g'= g * sin \ 8.2^o\\\\g'= 9.8 * sin \ 8.2^o\\\\g' = 9.8 * 0.143\\\\g'= 1.40\ m/s^2`

Therefore, the magnitude of the acceleration at which the motorcycle will roll downhill if its brake is released .