A hammer of mass 500g , moving at 50m/s strikes a nail. The nail stops the hammer in a very short time of 0.01s. What is the force of the nail on the hammer?
Answers
Given data :
- 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 0.01 sec.
To find : The force of the nail on the hammer ?
Solution : Now, according to given,
→ Mass of hammer = 500 gram
We need to convert in standard S.I unit which is kilogram. Hence,
→ Mass of hammer = 500 gram
→ Mass of hammer = {500/1000} kg
→ Mass of hammer = 0.5 kg
According to given,
→ Initial velocity of hamner = 50 m/s
We know that, hammer will stop after every strike's on nail. Hence,
→ Final velocity of hammer = 0
→ Time taken by hammer to stop = 0.01 sec
Now, we use kinametical equation, to find acceleration by hammer.
→ v = u + a * t
{ where
- v = final velocity of particle
- u = initial velocity of particle
- a = acceleration of the particle
- t = time taken by particle }
→ v = u + a * t
→ 0 = 50 + a * 0.01 i.e.
→ a * 0.01 = 0 - 50
→ a * 0.01 = - 50
→ a = - 50/0.01
→ a = - 5000 m/s²
Now, by formula of force
→ Force = mass * acceleration
{according to given}
→ Force = 0.5 * ( - 5000 )
→ Force = - 2500 N
Answer : Hence, the force of the nail on the hammer is - 2500 N.
Note : Force can be negative. It means that the force is going to the opposite direction.
Learn more :
A piece of stone is dropped from a tower 45m high while falling its uniform accelaration was 10m/s2.How long will it tak...
https://brainly.in/question/2205801
Practice Problems 3
1 A dog initially running at a speed of 2 m/s, accelerates at a constant rate of 1.5 m/s2 for 5 s.
C...
https://brainly.in/question/28481294