JEE Questions for Physics Laws Of Motion Quiz 10

Rocket propulsion is associated with

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The conservation of angular momentum
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The conservation of mass
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The conservation of mechanical energy
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Newton's third law of motion

A shell at rest at the origin explodes into three fragments of masses 1 kg, 2 kg and m kg. The 1 kg and 2 kg pieces fly off with speeds of 5 ms^–1 along x–axisand 6 ms^–1 along y-axis respectively. If the m kg piece flies off with a speed of 6.5 ms^–1, the total mass of theshell must be

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4 kg
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5 kg
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3.5 kg
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4.5 kg

The rate of mass of the gas emitted from rear of a rocket is initially 0.1 kg/s. If the speed of the gas relative to the rocket is 50 m/s and mass of the rocket 2 kg then the acceleration of the rocket in m/s² is

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5
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5.2
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2.5
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25

A shell of mass 10 kg is moving with a velocity of 10 ms^–1. When it blasts, forms two parts of mass 9 k and 1 kg respectively. If the 1st mass is stationary, thenvelocity of the 2nd is

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1 m/s
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10 m/s
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100 m/s
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1000 m/s

A wagon weighing 1000 kg is moving with a velocity 50 km/hr on smooth horizontal rails. A mass of 250 kg is dropped into it. The velocity with which it moves now is

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25 km/hr
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20 km/hr
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40 km/hr
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50 km/hr

If a force of 250 N act on body, the momentum acquired is 125 kg-m/s. What is the period for which force acts on the body?

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0.5 s
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0.2 s
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0.4 s
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0.25 s

A jet engine works on the principle of

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Conservation of mass
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Conservation of energy
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Conservation of linear momentum
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Conservation of angular momentum

A rocket of mass 100 kg burns 0.1 kg of fuel per sec. If velocity of exhaust gas is 1 km/s, then it lifts with an acceleration of

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1000 ms–2
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100 ms–2
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10 ms–2
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1 ms–2

The momentum is most closely related to

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Force
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Impulse
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Power
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KE

A body of mass m = 3.513 kg is moving along the x–axis with a speed of 5.0 ms^–1. The magnitude of itsmomentum is recorded

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17.565 kg ms–1
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17.56 kg ms–1
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17.57 kg ms–1
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17.6 kg ms–1

A bullet is fired from a gun. The force on the bullet is given by F = 600 – 2 × 10⁵t, where F is in newtons and t in seconds. The force on the bullet becomes zero as soon as it leaves the barrel. What is the average impulse imparted to the bullet?

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9 Ns
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Zero
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0.9 Ns
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1.8 Ns

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2)
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0%
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A bullet of mass 10 g is fired from a gun of mass 1 kg. If the recoil velocity is 5 m/s, the velocity of the muzzle is

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0.05 m/s
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5 m/s
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50 m/s
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500 m/s

A bullet of mass 10 g moving with 300 m/s hits a block of ice of mass 5 kg and drops dead. The velocity of ice is

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50 cm/s
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60 cm/s
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40 cm/s
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30 cm/s

If the resultant of all the external forces acting on a system of particles is zero, then from an inertial frame,one can surely say that

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Linear momentum of the system does not change in time
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Kinetic energy of the system does not change in time
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Angular momentum of the system does not change in time
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Potential energy of the system does not change in time

In the force second of its flight, rocket ejects 1/60 of its mass with a velocity of 2400 ms^–1. The acceleration ofthe rocket is

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19.6 ms–2
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30.2 ms–2
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40 ms–2
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49.8 ms–2

In a rocket of mass 1000 kg fuel is consumed at a rate of 40 kg/s. The velocity of the gases ejected from the rocket is 5 × 10⁴ m/s. The thrust on the rocket is

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2 × 103 N
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5 × 104 N
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2 × 106 N
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2 × 109 N

A 5000 kg rocket is set for vertical firing. The exhaust speed is 800 ms^–1. To give an initial upward acceleration of 20 ms^–2, the amount of gas ejected per second to supply the needed thrust will be(g = 10 ms^–2)

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127.5 kg s–1
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187.5 kg s–1
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185.5 kg s–1
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137.5 kg s–1

A train is moving with velocity 20 m/s. On this thrust is falling at the rate of 50 kg/minute. The extra force required to move this train with constant velocity will be

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16.66 N
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1000 N
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166.6 N
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1200 N

A satellite in force-free space sweeps stationary interplanetary thrust at a rate dM / dt = αv, where M is the mass, v is the velocity of the satellite and a is a constant. What is the acceleration of the satellite?

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–2αv2 / M
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–αv2 / M
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+αv2/ M
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–αv2

A rocket with a lift-off mass 3.5 × 10⁴ kg is blasted upwards with an initial acceleration of 10 m/s². Then,the initial thrust of the blast is

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1.75 × 105 N
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3.5 × 105 N
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7.0 × 105 N
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14.0 × 105 N

A gardener waters the plants by a pipe of diameter lmm. The water comes out at the rate of 10 cm³/s. Thereactionary force exerted on the hand of the gardener is

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Zero
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1.27 × 10–2 N
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1.27 × 10–4 N
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0.127 N

The figure shows the position-time (x –t) graph of one dimensional motion of a body of mass 0.4 kg. Themagnitude of each impulse is
Physics-Laws of Motion-77282.png

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0.2 Ns
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0.4 Ns
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0.8 Ns
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1.6 Ns

A stationary bomb explodes into three pieces. One piece of 2 kg mass moves with a velocity of 8 ms^–1 atright angles to the other piece of mass 1 kg moving with a velocity of 12 ms^–1. If the mass of the third piece is0.5 kg, then its velocity is

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10 ms–1
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20 ms–1
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30 ms–1
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40 ms–1
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50 ms–1

Three concurrent co-planar forces 1 N, 2 N and 3 N acting along different directions on a body

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Can keep the body in equilibrium if 2 N and 3 N act at right angle
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Can keep the body in equilibrium if 1 N and 2 N act at right angle
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Cannot keep the body in equilibrium
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Can keep the body in equilibrium if 1 N and 3 N act at an acute angle

Two forces of magnitude F have a resultant of the same magnitude F. The angle between the two forces is

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45°
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120°
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150°
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60°

A block is kept on a frictionless inclined surface with angle of inclination \'α\'. The incline is given an acceleration \'a\' to keep the block stationary. Then a isequal to
Physics-Laws of Motion-77286.png

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g
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g tan α
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g/ tan α
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g cosec α

An object is subjected to a force in the North-East direction. To balance this force, a second force should be applied in the direction

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North-East
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South
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South-West
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West

The resultant force of 5 N and 10 N cannot be

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12 N
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8 N
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4 N
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5 N

The resultant of two forces 3P and 2P is R. If the first force is doubled then the resultant is also doubled. The angle between the two forces is

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60°
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120°
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70°
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180°

The resultant of two forces, one double the other in magnitude, is perpendicular to the smaller of the two forces. The angle between the two forces is

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60°
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120°
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150°
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90°

Two forces are such that the sum of their magnitudes is 18 N and their resultant is perpendicular to the smaller force and magnitude of resultant is 12 N. Then, themagnitudes of the forces are

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12 N, 6N
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13 N, 5N
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10 N, 8 N
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16 N, 2N

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2)
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Which of the following is the correct order of forces?

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Weak < Gravitational < Strong (nuclear) < electrostatic
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Gravitational < Weak < Electrostatic < Strong
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Gravitational < Electrostatic < Weak < Strong
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Weak < Gravitational < Electrostatic < Strong

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2)
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Which of the following groups of forces could be in equilibrium?

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3 N, 4 N, 5 N
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4 N, 5 N, 10 N
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30 N, 40 N, 80 N
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1 N, 3 N, 5 N

A mass of 5 kg is suspended by a rope of length 2 m from a ceiling. A force of 50 N in the horizontal direction is applied at the mid-point of the rope. The angle made by the rope with the vertical, in equilibrium is

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50°
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60°
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30°
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45°

If two forces of 5 N each are acting along X and Y axes, then the magnitude and direction of resultant is

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2)
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Three forces F₁, F₂ and F₃ together keep a body in equilibrium. If F₁ = 3 N along the positive x–axis,F₂ = 4 N along the positive y-axis, then the third forceF₃ is

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2)
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0%

A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force P is applied at the free end of the rope, the force exerted bythe rope on the block will be

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P
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2)
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A rope of length L is pulled by a constant force F. What is the tension in the rope at a distance x from the end where the force is applied?

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2)
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Three equal weights A, B and C of mass 2 kg each are hanging on a string passing over a fixed frictional pulley as shown in the figure. The tension in the string connecting weights B and C is
Physics-Laws of Motion-77321.png

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Zero
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13 N
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3.3 N
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19.6 N

Assertion A body subjected to three concurrent forces cannot be in equilibrium.
Reason If large number of concurrent forces acting on the same point, then the point will be in equilibrium, if sum of all the forces is equal to zero.

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If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
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If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
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If Assertion is true but Reason is False.
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If the Assertion and Reason both are false.
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If Assertion is false but Reason is true.

Two masses of 4 kg and 5 kg are connected by a string passing through a frictionless pulley and are kept on a frictionless table as shown in the figure. The acceleration of 5 kg mass is
Physics-Laws of Motion-77323.png

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49 m/s2
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5.44 m/s2
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19.5 m/s2
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2.72 m/s2

Two rectangular blocks A and B masses 2 kg and 3 kg respectively are connected by a spring of spring constant 10.8 Nm^–1 and are placed on a frictionlesshorizontal surface. The block A was given an initial velocity of 0.15 ms-1 in the direction shown in the figure. The maximum compression of the spring duringthe motion is
Physics-Laws of Motion-77325.png

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0.01 m
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0.02 m
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0.05 m
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0.03 m

Three solids of masses m₁, m₂ and m₃ are connected with weightless string in succession and are placed on a frictionless table. If the mass m₃ is dragged with a force T, the tension in the string between m₂ and m₃ is

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2)
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Three blocks of masses m₁, m₂ and m₃ are connected by massless strings as shown on a frictionless table. They are pulled with a force T₃= 40 N . If m₁. = 10 kg, m₂ = 6 kg and m₃ = 4 kg, the tension T₂will be
Physics-Laws of Motion-77332.png

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20 N
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40 N
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10 N
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32 N

A 2 kg block is lying on a smooth table which is connected by a body of mass 1 kg by a string which passes through a pulley. The 1 kg mass is hanging vertically. The acceleration of block and tension in the string will be

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3.27 m/s2, 6.54 N
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4.38 m/s2, 6.54 N
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3.27 m/s2, 9.86 N
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4.38 m/s2, 9.86 N

A block A of mass 7 kg is placed on a frictionless table. A thread tied to it passes over a frictionless pulley and carries a body B of mass 3 kg at the other end. The acceleration of the system is (given g = 10 ms^–2)
Physics-Laws of Motion-77335.png

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100 ms–2
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3 ms–2
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10 ms–2
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30 ms–2

Three blocks of masses 2 kg, 3 kg and 5 kg are connected to each other with light string and are thenplaced on a frictionless surface as shown in the figure. The system is pulled by a force F =10 N, then tension T₁is equal to
Physics-Laws of Motion-77337.png

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1 N
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5 N
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8 N
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10 N

JEE Questions for Physics Laws Of Motion Quiz 10 - MCQExams.com

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JEE Questions for Physics Laws Of Motion Quiz 10 - MCQExams.com

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