Work done by a constant force is calculated using:
A F/t
B Fdcosθ
C Fv
D d/v
Work is dot product of force and displacement.
A body does zero work when:
A It moves opposite the force
B It does not move
C A large force acts
D Speed increases
Zero displacement → zero work.
If kinetic energy of a body becomes 4 times, speed becomes:
A 4 times
B 2 times
C 3 times
D 8 times
KE ∝ v² → √4 = 2.
Work done on a body reduces if:
A Force increases
B Displacement decreases
C Angle = 0°
D Force is constant
W ∝ displacement.
On doubling both mass and velocity, KE becomes:
A 2 times
B 4 times
C 6 times
D 8 times
KE = ½ mv² → becomes 2m · (2v)² = 8 times.
If net work is positive, then the body:
A Slows down
B Speeds up
C Stops
D Moves uniformly
Positive work increases kinetic energy.
When force is opposite displacement, θ =
A 0°
B 45°
C 90°
D 180°
Opposite directions → θ = 180°.
Work done by centripetal force is:
A Positive
B Negative
C Zero
D Variable
Force ⟂ displacement.
Average power is defined as:
A Work/time
B Force/time
C Distance/time
D Mass/time
P = W/t.
Instantaneous power equals:
A Force × displacement
B Force × velocity
C Force × acceleration
D Force × mass
P = F⃗ · v⃗.
A key property of conservative forces is:
A They cause loss of energy
B Work depends on path
C Work is independent of path
D Work is always zero
Only initial and final points matter.
Which is ALWAYS non-conservative?
A Spring
B Gravity
C Friction
D Electrostatic
Friction dissipates energy.
Conservative forces:
A Do not store energy
B Are not derivable from potential
C Have potential energy function
D Always do zero work
PE exists only for conservative forces.
Work done by gravity during descent:
A Negative
B Positive
C Zero
D Infinite
Force and displacement are same direction.
A force whose work depends on path followed is:
A Conservative
B Internal
C Non-conservative
D Balanced
e.g., friction.
In a closed loop, work done by friction is:
A Zero
B Positive
C Variable but non-zero
D Negative
Friction always opposes motion.
Which force conserves mechanical energy?
A Friction
B Viscous force
C Gravity
D Air drag
Gravity is conservative.
Potential energy decreases when:
A Conservative force does positive work
B Non-conservative force acts
C Mass increases
D Velocity increases
Work done by conservative force = −ΔPE.
COM of a system depends on:
A Colour
B Shape only
C Mass distribution
D Temperature
Weighted mean of mass positions.
COM for two equal masses lies:
A Closer to heavier
B At midpoint
C Closer to lighter
D At infinity
Symmetry.
The motion of COM is governed by:
A Internal forces only
B External forces only
C Both equally
D None
Internal forces cancel.
For a system free of external forces, COM:
A Accelerates
B Moves at constant velocity
C Stops
D Moves in circle
Newton’s First Law.
In explosion of a stationary bomb, COM:
A Moves forward
B Moves backward
C Remains at rest
D Oscillates
Net external force = 0.
Can COM lie outside the body?
A Never
B Only for solid bodies
C Yes, in hollow bodies
D Only if mass is zero
Example: ring.
COM moves as if:
A All forces act internally
B Entire mass is concentrated at COM
C Velocity is zero
D Forces are absent
Newtonian mechanics simplifies motion to COM.
For a system of particles, total momentum equals:
A mtotal⋅vCOM
B Force × time
C Energy × time
D Work × distance
Definition of COM momentum.
Momentum is conserved when:
A External forces act
B Only internal forces act
C Force is zero
D Velocity is constant
Internal forces cancel.
The unit of impulse is equal to:
A Joule
B Watt
C Newton-second
D Pascal
J = FΔt.
When a constant force acts for a time t, momentum changes by:
A Ft
B F/t
C t/F
D F²t
Impulse–momentum theorem.
A perfectly inelastic collision is one in which:
A KE conserved
B Bodies stick together
C No momentum
D Distance reduces
Bodies move together after collision.
Momentum is:
A Scalar
B Vector
C Unitless
D Constant
Depends on direction.
Two equal masses collide elastically and exchange velocities. This follows conservation of:
A KE only
B Momentum only
C Both KE and momentum
D Only mass
Elastic collision conserves both.
A bullet strikes and embeds into a block. This is:
A Elastic
B Perfectly inelastic
C Non-impact
D Nearly elastic
Bodies stick together.
Change in momentum per unit time is:
A Energy
B Work
C Force
D Power
Newton’s second law.
Total mechanical energy =
A KE − PE
B KE + PE
C PE ÷ KE
D PE − momentum
Sum of KE and PE.
Mechanical energy conserved when:
A Friction acts
B Only conservative forces act
C Air resistance acts
D Mass increases
Non-conservative forces dissipate energy.
PE of a raised body is due to:
A Speed
B Heat
C Height
D Temperature
PE = mgh.
When a body falls freely, PE:
A Increases
B Decreases
C Constant
D Becomes zero instantly
PE converts to KE.
In absence of dissipative forces, mechanical energy:
A Increases
B Decreases
C Remains constant
D Becomes zero
Conservation principle.
A compressed spring stores:
A Kinetic energy
B Potential energy
C Heat energy
D Rotational energy
Elastic potential energy.
A 10 N force moves object 5 m. Work =
A 10 J
B 15 J
C 50 J
D 5 J
W = Fd = 50 J.
If velocity becomes 3 times, KE becomes:
A 3 times
B 6 times
C 9 times
D 12 times
KE ∝ v².
A 2 kg mass moving at 4 m/s has momentum:
A 2
B 4
C 6
D 8
p = mv = 8.
A force perpendicular to velocity does:
A Positive work
B Negative work
C Zero work
D Infinite work
No component along motion.
If work done is negative, KE:
A Increases
B Decreases
C Remains same
D Becomes infinite
Negative work reduces KE.
In a free fall, work done by gravity is:
A Zero
B Negative
C Positive
D Constant
Gravity aids motion.
Power becomes zero when:
A Work = 0
B Time = 0
C Velocity = 0
D Force = 0
No work → no power.
Units of KE and work are:
A Same (Joule)
B Different
C Cannot be compared
D Only KE is Joule
Both measured in Joules.
Work done by internal forces of a system affects:
A COM motion
B Internal energy
C Momentum of system
D External energy only
Internal forces change internal energy.
Impulse is equal to:
A Force × displacement
B Change in momentum
C Change in energy
D Work × time
Impulse–momentum theorem.