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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 :
[tex]g'= g \times sin \ 8.2^o\\\\g'= 9.8 \times sin \ 8.2^o\\\\g' = 9.8 \times 0.143\\\\g'= 1.40\ m/s^2[/tex]
Therefore, the magnitude of the acceleration at which the motorcycle will roll downhill if its brake is released .