The force on a particle varies with time as described below:

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

The force on a particle varies with time as described below: (i) t=0t=0 to 2 ms2\,\text{ms}: rises uniformly from 00 to 300 N300\,\text{N} (ii) t=2 mst=2\,\text{ms} to 4 ms4\,\text{ms}: constant 300 N300\,\text{N} (iii) t=4 mst=4\,\text{ms} to 6 ms6\,\text{ms}: decreases uniformly to −150 N-150\,\text{N} (iv) t=6 mst=6\,\text{ms} to 8 ms8\,\text{ms}: constant −150 N-150\,\text{N} (v) t=8 mst=8\,\text{ms} to 10 ms10\,\text{ms}: rises uniformly back to 00. (a) Calculate the net impulse delivered between t=0t=0 and t=10 mst=10\,\text{ms}. (b) A particle of mass 0.20 kg0.20\,\text{kg} starts from rest under this force. Determine its final velocity at t=10 mst=10\,\text{ms}.

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