A constant force act on a body on a object of mass 5kg for 10 second and increase the velocity from 5m /s to 10m/s .find the force applied.
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Given :-
- Mass of body = 5 kg
- Force acted for = 10s
- initial velocity = 5 m/s
- Final velocity = 10 m/s
To find :-
- Force = ?
Solution :-
Firstly finding acceleration
Using the first eq of motion
v = u + at
Where
- v → final velocity = 10 m/s
- u → initial velocity = 5 m/s
- a → acceleration = ?
- t → time taken change velocity = 10s
Substituting the values we have
→ 10 = 5 + a(10)
→ 10 - 5 = 10a
→ 5 = 10 a
→ a = 5/10 = ½
→ acceleration = 0.5 m/s²
Now , finding force acted on the body
F = m × a
Where
- F → force = ?
- m → mass = 2 kg
- a → acceleration = 1/2 m/s²
Substituting the values we have
→ F = 2 × ½
→ Force acted = 1 N
Hence , force acted on the body = 1 N
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