A 12 kg hammer strikes a nail at a velocity of 8.2 m/s and comes to rest in a time interval of 0.0083 s.
1. What is the impulse given to the nail?
2. What is the average force acting on the nail?
To calculate the impulse given to the nail, we can use the formula:
Impulse = force * time
1. To find the impulse, we need to know the force and the time interval. We can use the following equation of motion to find the force:
final velocity = initial velocity + (force / mass) * time
In this case, the final velocity is 0 m/s (since the hammer comes to rest), the initial velocity is 8.2 m/s, the mass is 12 kg, and the time interval is 0.0083 s. Rearranging the equation and solving for force, we have:
force = (final velocity - initial velocity) * mass / time
Substituting the values, we get:
force = (0 m/s - 8.2 m/s) * 12 kg / 0.0083 s
Calculating this expression will give us the force acting on the nail.
2. Once we have the force, we can calculate the average force by using Newton's second law:
force = mass * acceleration
The average force applied to an object is the same as the force required to produce the change in velocity. Therefore, the force we calculated in step 1 is the average force acting on the nail.
Impulse= force*time= mass*changevelocity
Rtfg
98.4 N s
Impulse = Force * Time
= Mass * Change in Velocity
= 12 * 8.2
= 98.4 N s