The following data give the work done on a particle at different times: at

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

The following data give the work done on a particle at different times:

W = 0\,\text{J}

t = 0\,\text{s}

W = 20\,\text{J}

t = 4\,\text{s}

W = 50\,\text{J}

t = 6\,\text{s}

W = 50\,\text{J}

t = 10\,\text{s}

. Assuming the work varies linearly between the listed points, (i) Find the power in the interval

0\text{–}4\,\text{s}

. (ii) Find the power in the interval

4\text{–}6\,\text{s}

. (iii) Calculate the average power over the whole

0\text{–}10\,\text{s}

period.