Advertisements
Advertisements
Question
A hammer of mass 500 g, moving at 50 ms−1, strikes a nail. The nail stops the hammer in a very short time of 0.01 s. What is the force of the nail on the hammer?
Solution
The force of the nail on the hammer,
F = `"Change in momentum of hammer"/ "Time"`
F = `(m (v - u))/t`
F = `(0.50 kg (0 - 50 ms^-1))/(0.01 s)`
F = `(0.50 kg (0 - 50 ms^-1))/(0.01 s)`
F = -2500 N
The minus sign denotes the force that the nail applies to the hammer when it acts in the opposite direction of the hammer.
APPEARS IN
RELATED QUESTIONS
A 8000 kg engine pulls a train of 5 wagons, each of 2000 kg. along a horizontal track. If the engine exerts a force of 40000 N and the track offers a friction force of 5000 N, then calculate:
- the net accelerating force and
- the acceleration of the train.
How much momentum will a dumb-bell of mass 10 kg transfer to the floor if it falls from a height of 80 cm? Take its downward acceleration to be 10 m s−2.
A motorcar of mass 1200 kg is moving along a straight line with a uniform velocity of 90 km/h. Its velocity is slowed down to 18 km/h in 4 s by an unbalanced external force. Calculate the acceleration and change in momentum. Also calculate the magnitude of the force required.
A large truck and a car, both moving with a velocity of magnitude v, have a head-on collision and both of them come to a halt after that. If the collision lasts for 1 s:-
(a) Which vehicle experiences the greater force of impact?
(b) Which vehicle experiences the greater change in momentum?
(c) Which vehicle experiences the greater acceleration?
(d)Why is the car likely to suffer more damage than the truck?
Fill in the following blanks with suitable words :
Newton’s second law of motion can be written as Force = mass × _____________ or Force = _____________ of change of _____________.
Name the law involved in the following situation:
a body of mass 5 kg can be accelerated more easily by a force than another body of mass 50 kg under similar conditions.
The acceleration produced by a force of 5 N acting on a mass of 20 kg in m/s2 is :
Newton’s III law is applicable
Deduce the equation of a force using Newton’s second law of motion.
A force vector applied on a mass is represented as `vecF = 6hati - 8hatj + 10hatk` N and accelerates the mass at 1 ms-2. The mass of the body is ______.