SATHEE: Work Energy And Power Question 232

Work Energy And Power Question 232

Question: The components of a force acting on a particle are varying according to the graphs shown. When the particles move from (0,5,6) to (2,10,0) then the work done by this force is

Options:

A) 192J

B) $\frac{400}{3} J$

C) $\frac{287}{2} J$

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

[c] From given graph: $\vec{F} = (\frac{3}{4} x + 10) \hat{i} + (20 - \frac{4}{3} y) \hat{j} + (\frac{4}{3} z - 16) \hat{k}$

$W = \int \vec{F} . \vec{d s}$

$= \int_{(0, 5, 6)}^{(2, 10, 0)} (\frac{3}{4} x + 10) \hat{i} + (20 - \frac{4}{3} y) \hat{j} + (\frac{4}{3} z - 16) \hat{k}$

$[d x \hat{i} + d y \hat{j} + d z \hat{k}] = \frac{287}{2} J$ Work done can also be found by finding area under these curves.

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Work Energy And Power Question 232

Question: The components of a force acting on a particle are varying according to the graphs shown. When the particles move from (0,5,6) to (2,10,0) then the work done by this force is

Options:

Answer:

Solution:

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