Advertisements
Advertisements
प्रश्न
What do you mean by the conservation of momentum? Briefly, explain the collision between two bodies and the conservation of momentum.
Advertisements
उत्तर
Conservation of momentum in case of a collision between two bodies means the total momentum before and after collision remains unchanged or conserved, provided no net force acts on the system.
Consider two bodies A and 8 having masses m1 and m, and initial velocities u1 and u, respectively. The bodies collide head on with each other and their collision lasts for t seconds. Suppose the velocities of A and 8 after collision are v1 and v, respectively. Assume that no external forces are acting on the bodies.
Rate of change of momentum of ball A = m1(v1 - u1)/t .
Rate of change of momentum of ball 8 = m1 (v1 - u1)/t .
If FAB is the force exerted by A on 8 and FBA is the force ex
Rated by 8 on A, we can write
FAB= m1(v1 - u1)/t .
FBA = m1 (v1 - u1)/t .
FAB = -FBA
m1(v1 - u1)/t = - m2(v2- u2)/t .
m1(v1 - u1) = - m2(v2- u2)
m1v1 +m2v2 = m1u1+m2u2
So total momentum after collision = total momentum before collision.
This proves conservation of momentum during collision.
APPEARS IN
संबंधित प्रश्न
A rocket with a lift-off mass 20,000 kg is blasted upwards with an initial acceleration of 5.0 m s–2. Calculate the initial thrust (force) of the blast.
The below figure shows the position-time graph of a particle of mass 4 kg.
- What is the force on the particle for t < 0, t > 4 s, 0 < t < 4 s?
- What is the impulse at t = 0 and t = 4 s? (Consider one-dimensional motion only.)
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 monkey of mass 40 kg climbs on a rope in given Figure which can stand a maximum tension of 600 N. In which of the following cases will the rope break: the monkey
(a) climbs up with an acceleration of 6 m s–2
(b) climbs down with an acceleration of 4 m s–2
(c) climbs up with a uniform speed of 5 m s–1
(d) falls down the rope nearly freely under gravity?
(Ignore the mass of the rope).
A block of mass m is placed on a smooth wedge of inclination θ. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block has a magnitude.
A monkey of mass 15 kg is climbing a rope fixed to a ceiling. If it wishes to go up with an acceleration of 1 m/s2, how much force should it apply on the rope? If the rope is 5 m long and the monkey starts from rest, how much time will it take to reach the ceiling?
Define Newton’s second law of motion.
Name the physical quantity which equals the rate of change of linear momentum.
A stone is dropped from a cliff 98 m high.
How long will it take to fall to the foot of the cliff?
Figure shows (x, t), (y, t ) diagram of a particle moving in 2-dimensions.
|
|
 (b) |
If the particle has a mass of 500 g, find the force (direction and magnitude) acting on the particle.
