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4

u1 and u2 are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are v1 and v2. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by

A. e = v1 - v2/u2 - u1

B. e = u2 - u1/v1 - v2

C. e = v2 - v1/u1 - u2

D. e = v1 - v2/u2 + u1

Correct Answer :

C. e = v2 - v1/u1 - u2


Related Questions

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4

A projectile is fired at an angle θ to the vertical. Its horizontal range will be maximum when θ is

A.

B. 30°

C. 45°

D. 90°

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4

The units of moment of inertia of an area are

A. kg/m

B. kg/m2

C. m4

D. m3

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4

The centre of gravity of a homogenous body is the point at which the whole

A. Volume of the body is assumed to be concentrated

B. Area of the surface of the body is assumed to be concentrated

C. Weight of the body is assumed to be concentrated

D. All the above

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4

Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of

A. One-half of the total height above base

B. One-third of the total height above base

C. One-fourth of the total height above base

D. None of these

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4

The inherent property of a body which offers reluctance to change its state of rest or uniform motion, is

A. Weight

B. Mass

C. Inertia

D. Momentum

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4

Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are

A. 2 m/sec and 2 m/sec

B. 3 m/sec and 2 m/sec

C. 3 m/sec and 3 m/sec

D. 4 m/sec and 6 m/sec

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4

Equation of motion of a point in a straight line, is

A. v = u + ft

B. S = ut + ½ ft2

C. 2fS = v2 - u2

D. All the above

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4

Moment of inertia of a squares of side b about an axis through its centre of gravity, is

A. b3/4

B. b4/12

C. b4/3

D. b4/8

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4

A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection?

A. 15°

B. 30°

C. 45°

D. 75°

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4

Minimum potential energy of a system will be in the position of

A. Stable equilibrium

B. Unstable equilibrium

C. Neutral equilibrium

D. All of the above

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4

A ball of mass 1 kg moving with a velocity of 2 m/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be

A. Zero

B. 0.5 m/sec

C. 1.0 m/sec

D. 2.0 m/sec

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4

Energy may be defined as

A. Power of doing work

B. Capacity of doing work

C. Rate of doing work

D. All the above

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4

Engineer's units of force, is

A. Newton in absolute units

B. Dyne in absolute units

C. Newton and dyne in absolute units

D. All the above

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4

The C.G. of a thin hollow cone of height h, above its base lies on the axis, at a height of

A. h/3

B. h/4

C. 2h/3

D. 3h/4

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4

A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is

A. 1/3

B. 2/3

C. 1/9

D. 8/9

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4

The torque produced by a force depends on (i) The magnitude of the force (ii) The direction of the force (iii) The point of application of the force relative to origin The correct answer is

A. Only (i)

B. Both (i) and (ii)

C. Both (i) and (iii)

D. All (i), (ii) and (iii)

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4

Power can be expressed as

A. Work/energy

B. Work/time

C. Work × time

D. Work/distance

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4

The angular speed of a car while taking a circular turn of radius 100 m at 36 km/hour, is

A. 0.1 radian/sec

B. 1 radian/sec

C. 100 radian/sec

D. 1000 radian/sec

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4

The intrinsic equation of catenary is

A. S = c tan ψ

B. y = c cosh x/c

C. y = c cosh ψ

D. y = c sinh ψ

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4

The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at

A. Supports

B. Quarter span

C. Mid span

D. None of the above

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4

A particle executes a simple harmonic motion. While passing through the mean position, the particle possesses

A. Maximum kinetic energy and minimum potential energy

B. Maximum kinetic energy and maximum potential energy

C. Minimum kinetic energy and maximum potential energy

D. Minimum kinetic, energy and minimum potential energy

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4

The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is

A. wl/4d

B. wl²/4d

C. wl²/8d

D. wl²/16d

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4

The velocity ratio of an inclined plane of inclination θ with horizontal for lifting a load is

A. sin θ

B. cos θ

C. tan θ

D. cosec θ

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4

Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is

A. 2/3

B. 1/5

C. 3/5

D. 1/3

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4

The rate of change of displacement of a body with respect to its surrounding, is known

A. Velocity

B. Acceleration

C. Speed

D. None of these

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4

A square hole is made in a circular lamina, the diagonal of the square is equal to the radius of the circle as shown in below figure the shift in the centre of gravity is

A. r (π - 0.75)/(π - 0.5)

B. r (π - 0.25)/(π - 0.75)

C. r (π - 0.5)/(π - 0.75)

D. r (π - 0.5)/(π - 0.25)

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4

A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a

A. Parabola

B. Catenary

C. Cycloid

D. Ellipse

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4

One half of a vibration of a body, is called

A. Period time

B. Oscillation

C. Beat

D. Amplitude

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4

For a self-locking machine, the efficiency should be

A. Less than 60%

B. 50 %

C. More than 50%

D. None of these

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4

If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then? (i) A force is required to move the body upwards (ii) A force is required to move the body downward (iii) The body will not be in equilibrium The correct answer is

A. Only (i)

B. Only (ii)

C. Both (i) and (ii)

D. Both (i) and (iii)