60 no-calculator Pre-med/IB-style questions that build from definitions and units to work signs, conservative vs non-conservative forces, energy conservation, springs, friction, force–distance graphs, efficiency, and power reasoning.
A constant force F acts on an object that undergoes a displacement d. The angle between the force and the displacement is θ. Which expression gives the work done by this force?
Source: entermedschool.org
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src="https://entermedschool.org/embed/questions#{"title":"Work, Energy, Power","questions":[{"prompt":"A constant force F acts on an object that undergoes a displacement d. The angle between the force and the displacement is θ. Which expression gives the work done by this force?","options":[{"label":"A","body":"W = F/d","isCorrect":false},{"label":"B","body":"W = Fd cosθ","isCorrect":true},{"label":"C","body":"W = Fd sinθ","isCorrect":false},{"label":"D","body":"W = F + d","isCorrect":false},{"label":"E","body":"W = Fd/2 (always)","isCorrect":false}],"explanation":"Work is the component of force along the displacement times the displacement: W = (F cosθ)d = Fd cosθ. sinθ gives the perpendicular component, which does not contribute to work."},{"prompt":"Which of the following is the SI unit of work (and energy)?","options":[{"label":"A","body":"Watt (W)","isCorrect":false},{"label":"B","body":"Newton (N)","isCorrect":false},{"label":"C","body":"Joule (J)","isCorrect":true},{"label":"D","body":"Pascal (Pa)","isCorrect":false},{"label":"E","body":"Coulomb (C)","isCorrect":false}],"explanation":"Work and energy are measured in joules. Watts measure power (J/s) and newtons measure force."},{"prompt":"A student pushes hard on a wall for 10 seconds, but the wall does not move. The work done by the student on the wall is:","options":[{"label":"A","body":"Positive because a force was applied","isCorrect":false},{"label":"B","body":"Negative because the wall pushes back","isCorrect":false},{"label":"C","body":"Zero because the displacement is zero","isCorrect":true},{"label":"D","body":"Equal to the student's weight times 10 s","isCorrect":false},{"label":"E","body":"Impossible to determine without knowing the force magnitude","isCorrect":false}],"explanation":"Work depends on force AND displacement. If displacement is zero, W = Fd cosθ = 0 regardless of how large the force is."},{"prompt":"A force acts on an object while the object's displacement is in the same direction as the force. The work done by the force is:","options":[{"label":"A","body":"Always negative","isCorrect":false},{"label":"B","body":"Always zero","isCorrect":false},{"label":"C","body":"Positive","isCorrect":true},{"label":"D","body":"Positive only if the object speeds up","isCorrect":false},{"label":"E","body":"Zero unless the force is friction","isCorrect":false}],"explanation":"If force and displacement are in the same direction, θ = 0 so cosθ = 1 and W = Fd is positive."},{"prompt":"A force acts on an object, but the displacement is opposite the direction of the force. The work done by the force is:","options":[{"label":"A","body":"Positive","isCorrect":false},{"label":"B","body":"Negative","isCorrect":true},{"label":"C","body":"Zero","isCorrect":false},{"label":"D","body":"Always equal to the kinetic energy","isCorrect":false},{"label":"E","body":"Cannot be determined","isCorrect":false}],"explanation":"Opposite directions means θ = 180°, so cosθ = −1 and W = Fd cosθ is negative. This is typical of friction or braking forces."},{"prompt":"A force is always perpendicular to an object's displacement. The work done by that force is:","options":[{"label":"A","body":"Maximum and positive","isCorrect":false},{"label":"B","body":"Maximum and negative","isCorrect":false},{"label":"C","body":"Zero","isCorrect":true},{"label":"D","body":"Equal to Fd","isCorrect":false},{"label":"E","body":"Equal to the object's potential energy","isCorrect":false}],"explanation":"Perpendicular means θ = 90° and cos90° = 0, so W = Fd cosθ = 0. The force can change direction of motion without changing kinetic energy (e.g., centripetal force)."},{"prompt":"Which statement is the work–energy theorem?","options":[{"label":"A","body":"Net work equals the change in momentum","isCorrect":false},{"label":"B","body":"Net work equals the change in kinetic energy","isCorrect":true},{"label":"C","body":"Work equals power divided by time","isCorrect":false},{"label":"D","body":"Work equals mass times velocity","isCorrect":false},{"label":"E","body":"Net work is always zero","isCorrect":false}],"explanation":"The work–energy theorem states W_net = ΔK. Momentum changes are related to impulse, not work."},{"prompt":"If the net work done on an object is negative, what must be true about its kinetic energy?","options":[{"label":"A","body":"It increases","isCorrect":false},{"label":"B","body":"It decreases","isCorrect":true},{"label":"C","body":"It stays the same","isCorrect":false},{"label":"D","body":"It becomes zero","isCorrect":false},{"label":"E","body":"It becomes negative","isCorrect":false}],"explanation":"W_net = ΔK. If W_net is negative, ΔK is negative, meaning kinetic energy decreases (speed reduces). Kinetic energy cannot be negative."},{"prompt":"Which best defines power?","options":[{"label":"A","body":"Force multiplied by displacement","isCorrect":false},{"label":"B","body":"Energy stored in a system","isCorrect":false},{"label":"C","body":"Rate at which work is done (or energy is transferred)","isCorrect":true},{"label":"D","body":"Change in momentum per unit time","isCorrect":false},{"label":"E","body":"Force divided by acceleration","isCorrect":false}],"explanation":"Power is how fast work is done: P = W/t (average) or the rate of energy transfer. Change in momentum per time is force."},{"prompt":"Which is the correct SI unit equivalence for power?","options":[{"label":"A","body":"1 W = 1 N","isCorrect":false},{"label":"B","body":"1 W = 1 J","isCorrect":false},{"label":"C","body":"1 W = 1 J/s","isCorrect":true},{"label":"D","body":"1 W = 1 N·s","isCorrect":false},{"label":"E","body":"1 W = 1 kg·m","isCorrect":false}],"explanation":"Power is energy per time, so watt = joule per second. N·s is impulse, not power."},{"prompt":"A machine does the same amount of work in half the time. Its average power is:","options":[{"label":"A","body":"Half","isCorrect":false},{"label":"B","body":"The same","isCorrect":false},{"label":"C","body":"Twice","isCorrect":true},{"label":"D","body":"Four times","isCorrect":false},{"label":"E","body":"Zero","isCorrect":false}],"explanation":"Average power P = W/t. If W is unchanged and t halves, P doubles."},{"prompt":"Two students lift the same box to the same height. Student A takes 10 s; student B takes 5 s. Ignoring losses, which is correct?","options":[{"label":"A","body":"A does more work because it takes longer","isCorrect":false},{"label":"B","body":"B does more work because it is faster","isCorrect":false},{"label":"C","body":"They do the same work, but B has greater average power","isCorrect":true},{"label":"D","body":"A has greater power because the force is larger","isCorrect":false},{"label":"E","body":"Work is zero because the box starts and ends at rest","isCorrect":false}],"explanation":"Work against gravity depends on height: W = mgh (same for both). Power is work per time, so doing the same work in less time means higher power."},{"prompt":"If an object's speed doubles, its kinetic energy becomes:","options":[{"label":"A","body":"Half as large","isCorrect":false},{"label":"B","body":"Twice as large","isCorrect":false},{"label":"C","body":"Four times as large","isCorrect":true},{"label":"D","body":"Eight times as large","isCorrect":false},{"label":"E","body":"Unchanged","isCorrect":false}],"explanation":"Kinetic energy is K = (1/2)mv^2. Doubling v multiplies v^2 by 4, so K becomes 4K."},{"prompt":"Two objects have the same speed. Object B has twice the mass of object A. Compared to A, B's kinetic energy is:","options":[{"label":"A","body":"Half","isCorrect":false},{"label":"B","body":"The same","isCorrect":false},{"label":"C","body":"Twice","isCorrect":true},{"label":"D","body":"Four times","isCorrect":false},{"label":"E","body":"Eight times","isCorrect":false}],"explanation":"K = (1/2)mv^2. If v is the same, K is directly proportional to m. Doubling m doubles K."},{"prompt":"Two objects have the same momentum magnitude p but different masses. Which one has the larger kinetic energy?","options":[{"label":"A","body":"The larger mass","isCorrect":false},{"label":"B","body":"The smaller mass","isCorrect":true},{"label":"C","body":"They have the same kinetic energy","isCorrect":false},{"label":"D","body":"The one moving slower","isCorrect":false},{"label":"E","body":"Cannot be determined without knowing their speeds","isCorrect":false}],"explanation":"Using K = p^2/(2m), for fixed p a smaller m gives a larger kinetic energy. Many confuse momentum and kinetic energy scaling."},{"prompt":"Two objects have the same kinetic energy K but different masses. Which one has the larger momentum magnitude?","options":[{"label":"A","body":"The larger mass","isCorrect":true},{"label":"B","body":"The smaller mass","isCorrect":false},{"label":"C","body":"They have the same momentum","isCorrect":false},{"label":"D","body":"The one moving faster","isCorrect":false},{"label":"E","body":"Cannot be determined without g","isCorrect":false}],"explanation":"For fixed K, p = √(2mK), so momentum increases with √m. A heavier object can have the same K at lower speed but larger p."},{"prompt":"A block slides on a rough horizontal floor and slows down. The work done by friction on the block is best described as:","options":[{"label":"A","body":"Positive, because friction is a force","isCorrect":false},{"label":"B","body":"Zero, because friction is internal","isCorrect":false},{"label":"C","body":"Negative, converting mechanical energy into thermal energy","isCorrect":true},{"label":"D","body":"Negative, converting thermal energy into mechanical energy","isCorrect":false},{"label":"E","body":"Positive, increasing the block's kinetic energy","isCorrect":false}],"explanation":"Friction opposes motion, so it does negative work on the moving block. The lost kinetic energy becomes internal/thermal energy of the surfaces."},{"prompt":"A block slides along a straight horizontal surface. Which force does zero work on the block during this motion (assuming the surface is horizontal and the block stays in contact)?","options":[{"label":"A","body":"Kinetic friction","isCorrect":false},{"label":"B","body":"Applied push along the motion","isCorrect":false},{"label":"C","body":"Normal force from the surface","isCorrect":true},{"label":"D","body":"Air resistance opposite motion","isCorrect":false},{"label":"E","body":"Any force always does work if the object moves","isCorrect":false}],"explanation":"On a horizontal surface, the displacement is horizontal while the normal force is vertical, so they are perpendicular and W = 0 for the normal force."},{"prompt":"A block slides down a smooth (frictionless) incline. Which statement about the normal force from the incline on the block is correct?","options":[{"label":"A","body":"It does positive work because it helps the block slide","isCorrect":false},{"label":"B","body":"It does negative work because it opposes motion","isCorrect":false},{"label":"C","body":"It does zero work because it is perpendicular to the motion along the surface","isCorrect":true},{"label":"D","body":"It does work equal to mgh","isCorrect":false},{"label":"E","body":"It does more work on steeper inclines","isCorrect":false}],"explanation":"The block's displacement is along the plane, while the normal force is perpendicular to the plane, so they are perpendicular and the normal does zero work."},{"prompt":"A rock is carried horizontally at constant speed across level ground. The work done by gravity on the rock during this horizontal motion is:","options":[{"label":"A","body":"Positive","isCorrect":false},{"label":"B","body":"Negative","isCorrect":false},{"label":"C","body":"Zero","isCorrect":true},{"label":"D","body":"Equal to mgh","isCorrect":false},{"label":"E","body":"Equal to mg times the horizontal distance","isCorrect":false}],"explanation":"Gravity acts vertically downward, while displacement is horizontal, so the angle is 90° and the work by gravity is zero."}]}"
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