Question

# For how long should a force of 100 N act on a body of 20 kg so that it acquires a velocity of 100 m/s?

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Solution

## We are going to find acceleration Force = mass × acceleration $100=20×a\phantom{\rule{0ex}{0ex}}⇒a=\frac{100}{20}\phantom{\rule{0ex}{0ex}}⇒a=5$ Now, putting these values in the equation: $v=u+at\phantom{\rule{0ex}{0ex}}⇒100=0+5×t\phantom{\rule{0ex}{0ex}}⇒100=5t\phantom{\rule{0ex}{0ex}}⇒t=20$ So, the required time is 20 s.

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