Question

18. A force † = 7i+6k Newton makes a body move with
velocity ✓ = 3j + 4k ms! The power generated is
(1) 6 watt
(2) 12 watt
(3) 18 watt
(4) 24 watt​

Answer 1

Answer:

24 watt

Explanation:

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Answer 2

Question :-

$\sf A \: Force \: f = 1 \hat{i} + 6 \hat{k} \: \: N \: \: makes \: a \: body \: move \: \\ \sf with \: velocity \: \vec{v} \: = 3 \hat{j} + 4 \hat{k} \: \: \: \frac{m}{s} \: find \: \\ \sf \: generated \: power \: .$

Answer :-

Power = 24 watt

Explanation :-

We know that for average power

$\implies \boxed{ \sf \: P = F.V }\:$

Hence ,

$\to \sf P = (1 \hat{i} + 6 \hat{k} \: ).(3 \hat{j} + 4 \hat{k} \:) \\ \\ we \: know \: that \: \\ \implies \boxed{ \sf \: \hat{i} . \hat{i} = \hat{j}. \hat{j} = \hat{k} . \hat{k} \: = 1 } \\ \\ \implies \: \boxed{ \sf\hat{i} . \hat{j} =\hat{i} . \hat{k} = \hat{j} . \hat{k} = 0}$

Hence,

$\to \sf P = 4 \times 6 \: ( \hat{k}. \hat{k}) \\ \\ \to \: P = 24 \: watt \:$