Speed of Bullet Example
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- 2^i+3^j
- −2^i−3^j
- −2^i+3^j
- 2^i−3^j
- Will move with speed 4 m/s at angle of 135∘ to either
- Will move with speed 4√2 m/s at angle of 135∘ to either
- Will move with speed 4√2 m/s at angle of 45∘ to either
- Will move with speed 4 m/s at angle of 45∘ to either
(Assume the string to be inextensible and \(g=10\text{ m/s}^{2}\))
What is the mass formula in relation with force, energy, momentum?
A block of wood of mass M is suspended by means of a thread. A bullet of mass m is fired horizontally into the block with a velocity v. As a result of the impact, the bullet is embedded in the block. The block will rise to vertical height given by
12g(mvM+m)2
12g(mvM−m)2
12gmv2(M+m)
12gmv2(M−m)
The bullet hits the ball with speed 200 m/s in horizontal direction as shown in figure, and remains inside it. Find the magnitude of velocity of system of (ball+ bullet) after collision.
- 50 m/s
- 100 m/s
- 20 m/s
- 10 m/s
The speed of each particle is shown in the figure. Each particle maintains a direction towards the particle at the next corner symmetrically. The velocity of centre of mass of the system at this instant, if initially the system starts from rest, is:
- 3 ms−1
- 5 ms−1
- 6 ms−1
- zero
- 12g(mvM+m)2
- 12g(mvM−m)2
- 12gmv2M+m
- 12gmv2M−m
- Momentum is mMv(M+m)
- KE is (12)Mv2
- Momentum is mv
- KE is m2v22(M+m)
A heavy ball is suspended from the ceiling of a motor car through a light string. A transverse pulse travels at a speed of on the string when the car is at rest and when the car accelerates on a horizontal road. Find the acceleration of the car. Take .
- (M+m)gRm
- M+mm√2gR
- (M+m)√(gR)m
- M+mmgR
- 2d
- 3d2
- 3d
- d
- momentum is mvMM+m
- kinetic energy is mv22
- Mmomentum is mv(M+m)M
- Kinetic energy is m2v22(M+m)
A hollow sphere of mass m = 1 kg and radius R = 1 m rests on a smooth horizontal surface. A simple pendulum having string of length R and bob of mass m = 1 kg hangs from top most point of the sphere as shown in the figure. A bullet of mass m = 1 kg and velocity v = 2 m/s partially penetrates the left side of the sphere. The velocity of the sphere just after collision with bullet is:
1 m/sec
0.5 m/sec
1.5 m/sec
2 m/sec
A block of wood of mass M is suspended by means of a thread. A bullet of mass m is fired horizontally into the block with a velocity v. As a result of the impact, the bullet is embedded in the block. The block will rise to vertical height given by
12g(mvM+m)2
12g(mvM−m)2
12gmv2(M+m)
12gmv2(M−m)
A hollow sphere of mass m = 1 kg and radius R = 1 m rests on a smooth horizontal surface. A simple pendulum having string of length R and bob of mass m = 1 kg hangs from top most point of the sphere as shown in the figure. A bullet of mass m = 1 kg and velocity v = 2 m/s partially penetrates the left side of the sphere. The velocity of the sphere just after collision with bullet is:
1 m/s
0.5 m/s
1.5 m/s
2 m/s
- v=√2gh
- v=√2gh[1+mM]
- v=√2gh[1+Mm]
- v=√2gh[1−mM]
A hollow sphere of mass m = 1 kg and radius R = 1 m rests on a smooth horizontal surface. A simple pendulum having string of length R and bob of mass m = 1 kg hangs from top most point of the sphere as shown in the figure. A bullet of mass m = 1 kg and velocity v = 2 m/s partially penetrates the left side of the sphere. The velocity of the sphere just after collision with bullet is:
1 m/s
0.5 m/s
1.5 m/s
2 m/s
- Momentum is mMv(M+m)
- KE is (12)Mv2
- Momentum is mv
- KE is m2v22(M+m)
- 2uMm
- 2umM
- 2u1+mM
- 2u1+Mm
- 1.4 m/s
- 1.67 m/s
- 1 m/s
- 0.8 m/s
- 12g(mvM+m)2
- 12g(mvM−m)2
- 12gmv2M+m
- 12gmv2M−m
Reason (R) : In an "inelastic collision" only linear momentum is conserved
- A is true but R is false
- Both Assertion (A) and Reason (R) are correct but
the reason does not give the correct explanation - Both Assertion (A) and Reason (R) are correct
and R is the correct explanation - A is false but R is true
The bullet hits the ball with speed 200 m/s in horizontal direction as shown in figure, and remains inside it. Find the magnitude of velocity of system of (ball+ bullet) after collision.
- 20 m/s
- 10 m/s
- 100 m/s
- 50 m/s
- 1.4 m/s
- 0.8 m/s
- 1 m/s
- 1.67 m/s
- 0.8 m/s
- 1 m/s
- 1.4 m/s
- 1.67 m/s