A worker does 300 J of work against a frictional retarding force of 15 N in
pushing a box across a floor in 3s. If the box moves with a constant
speed, how fast is it?
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Answer:-
- Constant speed of box = 6.67 m/s
Explanation:-
Given:
- The Work done by worker, W = 300 J
- Retarding frictional force, F = 15 N
- Time for which boxed is pushed, t = 3 s
To find:
- Constant speed of box, v =?
Formulae required:
- Formula to calculate work
W = F . s
- The Formula for calculating constant speed
v = s / t
[ Where W is work done, F is the force applied, s is distance covered, v is constant speed, t is the time taken ]
Solution:
Using the formula for Work done
→ W = F . s
→ 300 = 15 × s
→ s = 20 m
Now, Using the formula for constant speed
→ v = s / t
→ v = 20 / 3
→ v = 6.67 m/s
Therefore,
- Constant speed of box is 6.67 m/s.
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