The velocity of the mass after the force has stopped acting is 14 m/s.
What is the velocity of an object?
The velocity of an object is the speed at which the object is moving in a specified direction.
Momentum is related to velocity and mass by the formula:
- Momentum = mass × velocity
The velocity of the mass after 8 seconds is first determined.
- Area under force-time graph = change in linear momentum
Change in linear momentum = (1/2 × 2 × 6) + (6 × 4) + (1/3 ×2 × 6) = 36 kgm/s
Initial momentum = 18 kg × 12 m/s = 216 kgm/s
Final momentum = 216 + 36 = 252 kgm/s
Final Velocity = final momentum/mass
Velocity = 252/18 = 14 m/s
After 8 seconds, the force stops acting.
Therefore, the velocity of the mass after the force has stopped acting is 14 m/s.
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