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Which of the following expressions represent simple harmonic motion?
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T
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None of the above
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.
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 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
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 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.
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