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A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that:

Its velocity is constant

Its acceleration is constant

Its kinetic energy is constant

It moves in a circular path.

A force F= -K (yî+xj) (where k is a positive constant) acts on a particle moving in the xy plane. Starting from the origin, the particle is taken along the positive x axis to the point (a,0), and then parallel to the y axis to the point (a,a), The total work done by the force F on the particle is

-2Ka2

2Ka2

-Ka2

Ka2

A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to

t1/2

t3/4

t3/2

t2

Two blocks of masses 10 kg and 4 kg are connected by a spring of negligible mass placed on a frictionless horizontal surface. An impulse gives a velocity of 14 m/s to the heavier block in the direction of the lighter block. The velocity of the centre of mass is

30 m/s

20 m/s

10 m/s

5 m/s

A particle moves in the X-Y plane under the influence of a force such that its linear momentum is p(t)=A [ î cos(kt)-jsin(kt), where A and K are constants. The angle between the force and the momentum is

0o

30o

45o

90o

A ship of mass 3x 107 kg initially at rest, is pulled by a force of 5x 104 N through a distance of 3m. Assuming that the resistance due to water is negligible, the speed of the ship is

1.5m/sec.

60m/sec.

0.1m/sec.

5m/sec.

/

/

Which of the following expressions represent simple harmonic motion?

/

T

/

None of the above

Its velocity is constant

Its acceleration is constant

Its kinetic energy is constant

It moves in a circular path.

A force F= -K (yî+xj) (where k is a positive constant) acts on a particle moving in the xy plane. Starting from the origin, the particle is taken along the positive x axis to the point (a,0), and then parallel to the y axis to the point (a,a), The total work done by the force F on the particle is

-2Ka2

2Ka2

-Ka2

Ka2

A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to

t1/2

t3/4

t3/2

t2

Two blocks of masses 10 kg and 4 kg are connected by a spring of negligible mass placed on a frictionless horizontal surface. An impulse gives a velocity of 14 m/s to the heavier block in the direction of the lighter block. The velocity of the centre of mass is

30 m/s

20 m/s

10 m/s

5 m/s

A particle moves in the X-Y plane under the influence of a force such that its linear momentum is p(t)=A [ î cos(kt)-jsin(kt), where A and K are constants. The angle between the force and the momentum is

0o

30o

45o

90o

A ship of mass 3x 107 kg initially at rest, is pulled by a force of 5x 104 N through a distance of 3m. Assuming that the resistance due to water is negligible, the speed of the ship is

1.5m/sec.

60m/sec.

0.1m/sec.

5m/sec.

/

/

Which of the following expressions represent simple harmonic motion?

/

T

/

None of the above

TOPICS : WORK DONE BY A FORCE, CIRCULAR MOTION SIMPLE HARMONIC MOTION

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