A force act up a body of mass of 20 kg ,initially at rest for 6s after which the force ceases, now the body describe 60 m in next 5s .find the magnitude of force.
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To Find :-
- The magnitude of force.
Solution :-
Given,
- Mass of the body (m) = 20 kg
- Initial velocity of body (u) = 0 ms-¹
- Distance (s) = 60 m
As we know that,
Velocity = Distance / Time
Here,
- Velocity = Final velocity of the body.
[ Put the values ]
↪ Final velocity = 60/5
↪ Final velocity = 12 ms-¹
Applying newton's 1st equation of motion,
v = u + at
[ Put the values ]
↪ 12 = 0 + a × 6
↪ 12 = 6a
↪ a = 12/6
↪ a = 2 ms-²
By newton's 2nd law of motion,
F = ma
[ Put the values ]
↪ F = 20 × 2
↪ F = 40 N
Therefore,
The magnitude of force is 40 N.
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