A particle of mass m is driven by a machine that delivers a constant power of k watts. If the particle starts from rest the force on the particle at time t is:

(1) mk2t-1/2

(2) mkt-1/2

(3) 2mkt-1/2

(4) 12mkt-1/2

Subtopic:  Power |
From NCERT
NEET - 2015
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Two particles of masses m1,m2 move with initial velocities u1 and u2. On collision, one of the particles get excited to higher level, after absorbing energy ε. If final velocities of particles be v1 and v2, then we must have

(a)m12u1+m22u2-ε=m12v1+m22v2

(b)12m1u12+12m2u2=12m1v12+12m2v22-ε

(c)12m1u12+12m2u22-ε=12m1v12+12m2v22

(d)12m12u12+12m22u22+ε=12m12v12+12m22v22

Subtopic:  Work Energy Theorem |
 58%
From NCERT
NEET - 2015
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A ball is thrown vertically downwards from a height of \(20\) m with an initial velocity \(v_0\). It collides with the ground, loses \(50\%\) of its energy in a collision and rebounds to the same height. The initial velocity \(v_0\) is: (Take \(g = 10~\text{m/s}^2\))
1. \(14~\text{m/s}\)
2. \(20~\text{m/s}\)
3. \(28~\text{m/s}\)
4. \(10~\text{m/s}\)

Subtopic:  Conservation of Mechanical Energy |
 66%
From NCERT
NEET - 2015
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Two particles A and B. move with constant velocities v1 and v2. At the initial moment, their position vectors are r1 and r2 respectively. The condition for particles A and B for their collision is-


(1) r1-r2r1-r2=v2-v1v2-v1

(2) r1·v1=r2·v2

(3) r1×v1=r2×v2

(4) r1-r2=v1-v2

Subtopic:  Collisions |
 72%
NEET - 2015
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On a frictionless surface, a block of mass M moving at speed v collides elastically with another block of same mass M which is initially at rest. After collision the first block moves at an angle θ to its initial direction and has a speed v/3. The second block's speed after the collision is:

(1)2√2v/3
 

(2)3v/4
 

(3)3v/√2
 

(4)√3v/2

Subtopic:  Collisions |
 63%
From NCERT
NEET - 2015
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The force F acting on a particle of mass m is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to 8 s is:
     
1. 24 Ns

2. 20 Ns

3. 12 Ns

4. 6 Ns

Subtopic:  Collisions |
 80%
From NCERT
NEET - 2014
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A body of mass \((4m)\) is lying in \(xy\text-\)plane at rest. It suddenly explodes into three pieces. Two pieces each of mass \((m)\) move perpendicular to each other with equal speeds \((v)\). The total kinetic energy generated due to the explosion is:
1. \(mv^2\)
2. \(\frac{3}{2}mv^2\)
3. \(2mv^2\)
4. \(4mv^2\)

Subtopic:  Collisions |
 71%
From NCERT
NEET - 2014
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A uniform force of (3i + j) N acts on a particle of mass 2 kg. Hence the particle is displaced from position (2i+k) m to position (4i+3j-k) m. The work done by the force on the particle is-

(1) 9J

(2) 6J

(3) 13J

(4) 15J

Subtopic:  Concept of Work |
 79%
From NCERT
NEET - 2013
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An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms-1 and the second part of mass 2kg moves with 8 ms-1 speed. If the third part flies off with 4 ms-1 speed, then its mass is

(1) 3kg
 

(2) 5kg
 

(3) 7kg
 

(4) 17kg

Subtopic:  Collisions |
 74%
From NCERT
NEET - 2013
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Two spheres A and B of masses m1 and m2 respectively collide. A is at rest initially and B is moving with velocity v along x-axis. After collision B has a velocity v2 in a direction perpendicular to the original direction.The mass A moves after collision in the direction

(1)same as that of B

(2)opposite to that of B

(3)θ=tan-112to the xaxis

(4)θ=tan-1-12to the xaxis

Subtopic:  Collisions |
From NCERT
NEET - 2012
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