A floating ice block is pushed through a displacement d=(15m)i-(12m)j along a straight embankment by rushing water, which exerts a force F=(210N)i-(150N)j on the block. How much work does theforce do on the block during the displacement?

A floating ice block is pushed through a displacement d=(15m)i-(12m)j along a straight embankment by rushing water, which exerts a force F=(210N)i-(150N)j on the block. How much work does theforce do on the block during the displacement?

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asked 2021-03-21
A floating ice block is pushed through a displacement d=(15m)i-(12m)j along a straight embankment by rushing water, which exerts a force F=(210N)i-(150N)j on the block. How much work does theforce do on the block during the displacement?

Answers (1)

2021-03-23
The work done W = F.d
\(\displaystyle={\left({210}{i}-{150}{j}\right)}\cdot{\left({15}{i}-{12}{j}\right)}\)
\(\displaystyle={3150}{i}-{1800}{j}\)
Thus, magnitude of the work done \(\displaystyle{W}={\left({{F}_{{x}}^{{2}}}+{{F}_{{y}}^{{2}}}\right)}^{{{\frac{{{1}}}{{{2}}}}}}\)
Or \(\displaystyle{W}={3.63}\cdot{10}^{{3}}\) J
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