force of 150N moves a body in 5 sec along a straight line governed by the displacement equation ; x=t^3-60t. calculate the mass of the moving body
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Explanation:
d2x/dt^2 = 6t
If the constant force is associated with a varying acceleration, then one can assume the mass is varying: 6 m/s^2 after 1 sec ; 12 after 2s; 18 after 3 s; 24 after 4 s, and of most interest, 30 m/s^2 after 5 s
From f=m*a we can suppose the mass is 150/6 kg after 1 sec; 150/ 12 kg after 2; etc. After 5 seconds, the mass is 150 / 30 = 5 kg
We can see the mass is dwindling in the manner of a water rocket propelled vehicle
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