In order to gain a velocity of 12m/s how long should a force of 30N be exerted on a body of mass 5kg?
Answers
Answered by
52
Given
- Change in velocity (v - u) = 12m/s
- Force (F) = 30N
- Mass (m) = 5kg
To find
- Time = ?
Solution
As we know that
→ F = (v - u)/t
→ t = m(v - u)/F
→ t = 5 × 12/30
→ t = 60/30 = 2s
Hence,
- Time = 2s
Extra Information
- Force = mass × acceleration
- v = u + at {First equation of motion}
- s = ut + ½ at² {Second equation of motion}
- v² = u² + 2as {third equation of motion}
- Pressure = Force/Area
Answered by
229
- Gain in velocity (v -u) = 12m/s
- Force (F) = 30N
- Mass of Body (M) = 5kg
- Time (t)
We know that Force is the product of mass and acceleration.
➲ Force = Mass × Acceleration
➲ F = M ×a
➲ F = M × (v-u/t) .............a = v-u/t
Putting all the values which is given above
➲ 30 = 5 × 12/t
➲ 30 = 60/t
➲ 30×t = 60
➲ t = 60/30
➲ t = 2 s
The Force should be exerted on the body for 2 second.
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