What force must be applied to a body through a distance of $10 m$ , such that it does a work of $4000 J$ ? If the mass of the body is $20 k g$ , what is the acceleration of the body?

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Solution

Step 1: Given data,
mass= $20 k g$
work= $4000 J$
distance= $10 m$
Step 2: To find force,
Formula used: $w o r k d o n e = f o r c e \times d i s p l a c e m e n t$
$f o r c e = \frac{w o r k}{d i s p l a c e m e n t}$
F= $\frac{4000}{10} = 400 N$
Thus, the value of force is $400 N$ .
Step 3: To find acceleration,
Formula used: $f o r c e = m a s s \times a c c e l e r a t i o n$
$a c c e l e r a t i o n = \frac{f o r c e}{m a s s}$
$a = \frac{400}{20} = 20 \frac{m}{s^{2}}$
Thus, the value of the acceleration is $20 \frac{m}{s^{2}}$ .

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