61. The work done by a constant force F on an object moving a displacement d is given by:
a) F * d
b) F * d * cos(θ)
c) F * d * sin(θ)
d) F * d * tan(θ)
Answer: b) F * d * cos(θ)
62. If the force applied on an object varies with displacement, the work done is:
a) ∫ F dx
b) ∫ F dt
c) ∫ F v dt
d) ∫ F v dx
Answer: a) ∫ F dx
63. The potential energy of an object at height h is given by:
a) mgh
b) ½mv²
c) ½kx²
d) ½mv² + mgh
Answer: a) mgh
64. The work-energy theorem states that the work done by the net force on an object is equal to the:
a) Change in momentum
b) Change in velocity
c) Change in kinetic energy
d) Change in potential energy
Answer: c) Change in kinetic energy
65. The SI unit of power is:
a) Joule
b) Watt
c) Newton
d) Meter
Answer: b) Watt
66. For a spring of force constant k, the potential energy stored in the spring when it is stretched by a displacement x is given by:
a) ½kx²
b) kx²
c) ½kx
d) ½k²x²
Answer: a) ½kx²
67. When an object is thrown vertically upwards, the mechanical energy is conserved if:
a) There are only conservative forces acting on the object
b) The object is acted upon by non-conservative forces
c) The object is at the peak height
d) The object is acted upon by friction
Answer: a) There are only conservative forces acting on the object
68. Which of the following is an example of a non-conservative force?
a) Gravitational force
b) Spring force
c) Frictional force
d) Electrostatic force
Answer: c) Frictional force
69. The mechanical energy of a system is conserved if:
a) The system is subject only to conservative forces
b) The system is in motion
c) The system is isolated from all forces
d) The system has zero velocity
Answer: a) The system is subject only to conservative forces
70. In the case of vertical circular motion, the centripetal force is directed:
a) Radially outward from the center
b) Radially inward toward the center
c) Tangential to the circle
d) Along the direction of motion
Answer: b) Radially inward toward the center
71. When a vehicle moves on a banked curve, the frictional force:
a) Always opposes the motion
b) Helps to prevent the vehicle from sliding outward
c) Increases with increasing speed
d) Does not affect the motion
Answer: b) Helps to prevent the vehicle from sliding outward
72. In the case of an elastic collision between two objects, which of the following quantities are conserved?
a) Momentum only
b) Kinetic energy only
c) Momentum and kinetic energy
d) Neither momentum nor kinetic energy
Answer: c) Momentum and kinetic energy
73. In a perfectly inelastic collision, the two objects:
a) Stick together and move with the same velocity after collision
b) Bounce off each other with no loss in kinetic energy
c) Have different velocities after collision
d) Experience a change in their kinetic energy, but not momentum
Answer: a) Stick together and move with the same velocity after collision
74. In an elastic collision between two objects in one dimension, the velocity of approach is equal to:
a) Velocity of separation
b) The sum of their velocities
c) The difference of their velocities
d) Zero
Answer: a) Velocity of approach is equal to velocity of separation
75. For an object in circular motion, the centripetal force is provided by:
a) The object’s velocity
b) The normal force
c) The gravitational force
d) The tension in the string (or road surface in case of a vehicle)
Answer: d) The tension in the string (or road surface in case of a vehicle)
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