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4

A train weighing 196 tonnes experiences a frictional resistance of 5 11/22 per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is

A. 5 √10 m/sec

B. 10 √5 m/sec

C. 5 √3 m/sec

D. 3 √5 m/sec

Correct Answer :

A. 5 √10 m/sec


Related Questions

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4

For perfectly elastic bodies, the value of coefficient of restitution is

A. Zero

B. 0.5

C. 1.0

D. Between 0 and 1

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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

A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is

A. 0.5 m

B. 0.75 m

C. 1.0 m

D. 1.5 m

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4

The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is

A. (a² + ab + b²)/3 (a + b)

B. (b² + bc + c²)/3 (b + c)

C. (a² + ab + c²)/3 (a + c)

D. None of these

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4

To double the period of oscillation of a simple pendulum

A. The mass of its bob should be doubled

B. The mass of its bob should be quadrupled

C. Its length should be quadrupled

D. Its length should be doubled

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4

Joule is the unit of

A. Power

B. Impulse

C. Work

D. Momentum

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4

Pick up the correct statement from the following:

A. Nature plays an important role in the launch of a satellite

B. The earth's gravity reduces the speed of a satellite by 32 km per second

C. The gravitational force relents as the satellite climbs higher

D. All the above

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4

The following is not a law of static friction:

A. The force of friction always acts in a direction opposite to that in which the body tends to move

B. The force of friction is dependent upon the area of contact

C. The force of friction depends upon the roughness of the surface

D. The magnitude of the limiting friction bears a constant ratio to the normal reaction between two surfaces

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4

The beam shown in below figure is supported by a hinge at A and a roller at B. The reaction RA of the hinged support A of the beam, is

A. 10.8 t

B. 10.6 t

C. 10.4 t

D. 10.2 t

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4

On a ladder resisting on a smooth ground and leaning against a rough vertical wall, the force of friction acts

A. Towards the wall at its upper end

B. Away from the wall at its upper end

C. Upwards at its upper end

D. Downwards at its upper end

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4

The moment of inertia of a circular lamina of diameter d, about an axis perpendicular to the plane of the lamina and passing through its centre, is

A. πd4/12

B. πd4/16

C. πd4/24

D. πd4/32

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4

A number of forces acting simultaneously on a particle of a body

A. May not be replaced by a single force

B. May be replaced by a single force

C. May be replaced by a single force through C.G. of the body

D. May be replaced by a couple

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4

The moment of inertia of a triangular section (base b, height h) about centroidal axis parallel to the base, is

A. b3h/12

B. bh3/3

C. bh3/36

D. bh3/2

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4

M.I. of solid sphere, is

A. Mr2

B. ½ Mr2

C. Mr2

D. πr4/2

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4

The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:

A. 2 kgf, 3 kgf

B. 3 kgf, 4 kgf

C. 4 kgf, 5 kgf

D. 5 kgf, 3 kgf

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4

A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If r is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

A. [r (π + 0.25)]/(π - 0.5)

B. [r (π - 0.5)]/(π + 0.25)

C. [r (π - 0.25)]/(π - 0.5)

D. [r (π + 0.25)]/(π + 0.5)

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4

A particle moves along a straight line such that distance x traversed in t seconds is given by x = t2(t + 1), the acceleration of the particle, will be

A. 3t3 - 2t

B. 3t2 + 2t

C. 6t - 2

D. 6t + 2

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4

In SI units, the units of force and energy are respectively

A. Newton and watt

B. Dyne and erg

C. Newton and joule

D. kg wt and joule

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4

Ball A of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball B on the table. If the impact is perfectly elastic, the velocity of the ball B just after impact would be

A. Zero

B. 5 m/sec

C. 10 m/sec

D. None of these

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4

Which one of the following statements is true?

A. The tangent of the angle of friction is equal to coefficient of friction

B. The angle of repose is equal to angle of friction

C. The tangent of the angle of repose is equal to coefficient of friction

D. All the above

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4

The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth's surface

A. Uneven distribution of the gravitational field

B. Gravity of the sun and the moon

C. Aerodynamic forces

D. None of these

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4

A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first?

A. Sphere with greater rotational energy at bottom than cylinder

B. Sphere with lesser rotational energy at bottom than cylinder

C. Cylinder with greater rotational energy at bottom than sphere

D. Both reach the bottom simultaneously with equal rotational energy at bottom

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4

The horizontal reaction at the support A of the structure shown in below figure, is

A. Zero

B. 2 t

C. 3 t

D. 1 t

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4

The maximum displacement of a particle executing S.H.M. corresponds to

A. Zero potential energy and maximum kinetic energy

B. Zero kinetic energy and maximum potential energy

C. Maximum kinetic energy and maximum potential energy

D. Minimum kinetic energy and minimum potential energy

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4

Two forces of 6 Newtons and 8 Newtons which are acting at right angles to each other, will have a resultant of

A. 5 Newtons

B. 8 Newtons

C. 10 Newtons

D. 12 Newtons

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4

Time of flight of a projectile on a horizontal plane, is

A. 2u sinα/g

B. 2u cosα/g

C. 2u tanα/g

D. 2u cotα/g

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4

0.For maximum range of a projectile, the angle of projection should be

A. 30°

B. 45°

C. 60°

D. None of these

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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

A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan1 x, where x is

A. 3/4

B. 4/5

C. 5/3

D. 3/5

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4

If a particle moves with a uniform angular velocity ω radians/sec along the circumference of a circle of radius r, the equation for the velocity of the particle, is

A. v = ω √(y² - r²)

B. y = ω √(y - r)

C. v = ω √(r² + y²)

D. v = ω √(r² - y²)