Advertisements
Advertisements
Question
A motorcycle of mass 100 kg is running at 10 ms−1. If its engine develops an extra linear momentum of 2000 Ns, calculate the new velocity of a motorcycle.
Advertisements
Solution
Mass of motor cycle = m = 100 kg
Velocity of motor cycle = v1= 10 ms−1
Momentum of motor cycle = mv1 = 100 × 10 = 1000 Ns
When engine develops an extra linear momentum of 2000 Ns
Then total momentum of motor cycle = 1000 + 2000 = 3000 Ns
Let v2 = new velocity of the motorcycle.
Total momentum of motor cycle = mv2
3000 = 100 × v2
v2 = `3000/100` = 30 ms−1
APPEARS IN
RELATED QUESTIONS
An aircraft executes a horizontal loop at a speed of 720 km/h with its wings banked at 15°. What is the radius of the loop?
A spy jumps from an airplane with his parachute. The spy accelerates downward for some time when the parachute opens. The acceleration is suddenly checked and the spy slowly falls to the ground. Explain the action of the parachute in checking the acceleration.
A man has fallen into a ditch of width d and two of his friends are slowly pulling him out using a light rope and two fixed pulleys as shown in the following figure. Show that the force (assumed equal for both the friends) exerted by each friend on the road increases as the man moves up. Find the force when the man is at a depth h.
Find the mass M of the hanging block in the following figure that will prevent the smaller block from slipping over the triangular block. All the surfaces are frictionless and the strings and the pulleys are light.
A body of mass m moving with a velocity v is acted upon by a force. Write an expression for change in momentum in each of the following cases: (i) When v << c, (ii) When v → c and (iii) When v << c but m does not remain constant. Here, c is the speed of light.
An electron of mass 9 × 10−31 kg is moving with a linear velocity of 6 × 107 ms−1. Calculate the linear momentum of electron.
State two factors which determine the momentum of a body.
Prove mathematically F = ma
What do you mean by linear momentum of a body?
A cricket ball of mass 150 g has an initial velocity `u = (3hati + 4hatj)` m s−1 and a final velocity `v = - (3hati + 4hatj)` m s−1 after being hit. The change in momentum (final momentum-initial momentum) is (in kg m s1)
