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4

A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)

A. 15 m/sec

B. 25 m/sec

C. 40 m/sec

D. 50 m/sec

Correct Answer :

B. 25 m/sec


Related Questions

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4

The resultant of two forces acting at right angles is √34 kg and acting at 60° is 70 kg. The forces are

A. 1 kg and 4 kg

B. 2 kg and 3 kg

C. √3 kg and √5 kg

D. 3 kg and 5 kg

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4

Newtons Law of Motion is:

A. Everybody continues in its state of rest or of uniform motion in a straight line, unless it is acted upon by some external force

B. The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction, in which the force acts

C. To every action, there is always an equal and opposite reaction

D. All the above

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4

If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will

A. Be in equilibrium

B. Always reduce to a resultant force

C. Always reduce to a couple

D. Both (A) and (C)

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4

The characteristic of a couple is:

A. Algebraic sum of forces, constituting a couple is zero

B. Algebraic sum of moments of forces, constituting a couple, about any point, is same

C. A couple can be never the balanced by a single force

D. All the above

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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 spring scale in a stationary lift shows a reading of 60 kg for a man standing on it. If the lift starts descending at an acceleration of g/5, the scale reading would be

A. 48 kg

B. 60 kg

C. 72 kg

D. None of these

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4

The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to

A. log r

B. r

C.

D. 1/r Where r is the distance of the particle from centre of the earth

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4

A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is

A. 0.5 m/sec

B. 1.0 m/sec

C. 1.5 m/sec

D. 2.5 m/sec

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4

A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be

A. 20 m/sec

B. 30 m/sec

C. 40 m/sec

D. 50 m/sec

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4

The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is

A. 98 m

B. 490 m

C. 980 m

D. 1960 m

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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

One Newton force, is

A. 103 dynes

B. 104 dynes

C. 105 dynes

D. 106 dynes

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4

At the instantaneous center, the velocity of the moving lamina at any instant is

A. Zero

B. Maximum

C. Minimum

D. Varying

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4

The equation of motion of a particle starting from rest along a straight line is x = t3 - 3l2 + 5. The ratio of the velocities after 5 sec and 3 sec will be

A. 2

B. 3

C. 4

D. 5

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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

A funicular polygon cannot be made to pass through

A. One specified point

B. Two specified points

C. Three specified points

D. More than three specified points

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4

A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kgm² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

A. 50 J

B. 150 J

C. 200 J

D. 400 J

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4

Pick up the incorrect statement from the following. In a simple harmonic motion

A. Velocity is maximum at its mean position

B. Velocity is minimum at the end of the stroke

C. Acceleration is minimum at the end of the stroke

D. Acceleration is zero at the mean position

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4

According to Law of Triangle of Forces

A. Three forces acting at a point, can be rep-resented by the sides of a triangle, each side being in proportion to the force

B. Three forces acting along the sides of a triangle are always in equilibrium

C. If three forces acting on a, point can be represented in magnitude and direction, by the sides of a triangle taken in order, these will be in equilibrium

D. If the forces acting on a particle be represented in magnitude and direction by the two sides of a triangle taken in order, their resultant will be represented in magnitude and direction by the third side of the triangle, taken in opposite order

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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

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 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

A block in the shape of a parallelepiped of sides 1m × 2m × 3m lies on the surface. Which of the faces gives maximum stable block?

A. 1 m × 2 m

B. 2 m × 3 m

C. 1 m × 3 m

D. Equally stable on all faces

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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 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

In the structure shown in below figure, the member which carries zero force, is

A. AB

B. BC

C. BE

D. All the above

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4

A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be

A. 0.5 m/sec

B. 1.5 m/sec

C. 2.5 m/sec

D. 3.5 m/sec

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4

The C.G. of the shaded area of the below figure from the x-axis is

A. a/4

B. 3a/4

C. 3b/10

D. 3a/10

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4

A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is

A. 1.00 m/sec

B. 1.57 m/sec

C. 3.14 m/sec

D. 6.28 m/sec

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4

A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The mechanical advantage of the lifting machine is

A. 15

B. 18

C. 20

D. 26