A hammer of mass 500 g , moving at 50 m / s , strikes a nail. The nail stops the hammer in a very short time of
0 . 0 1 s . What is the force of the nail on the hammer?
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Given :
- Initial velocity (u) = 50 m/s
- Final velocity (v) = 0 m/s
- Time (t) = 0.01 seconds
- Mass (m) = 500 g
We have to change it in kg :
- 500 g = 0.5 kg
To find :
- Acceleration
- Force
According to the question,
→ v = u + at
Putting the value according to the formula,
→ 0 = 50 + a × 0.01
→ 0 = 50 + 0.01 a
→ -50 = 0.01 a
→ -50 ÷ 0.01 = a
→ - 5000 = a
So,the acceleration will be - 5000 m/s²
Now we will calculate the force :
→ Force (F) = Mass (m) × Acceleration (a)
→ F = 0.5 × -5000
→ F = -2500 N
So,the force will be -2500 N..
Negative signs means that the force is acting on opposite direction.
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