Physics

Problem

Machine X does work according to

W_X = 80t\,\text{J}

for

0\le t\le 5\,\text{s}

and

W_X = 400 + 40(t-5)\,\text{J}

for

5< t \le 15\,\text{s}

. For Machine Y, the power varies with time as

P_Y = 40t\,\text{W}

for

0 \le t\le 5\,\text{s}

and

P_Y = 200\,\text{W}

for

5 < t \le 15\,\text{s}

. Both machines operate for

15\,\text{s}

. Which statement is correct? a) Machine X does more work while Machine Y has higher average power b) Both machines do the same work but Machine Y has higher average power c) Machine Y does more work and has a higher average power d) Machine X does more work and has a higher average power

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