Engineering Worksheet: Mechanical Advantage and Work
Engineer's tip (Less force, more distance): MA = load ÷ effort. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.
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- 1.🏋️ A force of 420 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 2.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 3.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 4.🏋️ A force of 90 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 5.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 6.🏋️ A force of 410 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 7.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A force of 340 N did 340 J of work. How many metres did the object move?
- 9.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 10.🏋️ A force of 20 N did 140 J of work. How many metres did the object move?
- 11.🏋️ A force of 140 N did 1260 J of work. How many metres did the object move?
- 12.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
- 14.🏋️ A force of 60 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 15.🏋️ Pushing a crate 9 m took 540 J of work. What force was used, in newtons?
- 16.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A force of 410 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 250 N did 750 J of work. How many metres did the object move?
- 19.🏋️ A 13 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ Pushing a crate 3 m took 840 J of work. What force was used, in newtons?
- 21.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Pushing a crate 10 m took 4300 J of work. What force was used, in newtons?
- 23.🏋️ A force of 200 N did 1600 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 7 m took 1960 J of work. What force was used, in newtons?
- 25.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 27.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 29.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A force of 240 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 450 N did 4050 J of work. How many metres did the object move?
- 35.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 36.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 440 N did 3960 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 39.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ Pushing a crate 9 m took 3690 J of work. What force was used, in newtons?
Answer key
- 3360
- load ÷ effort
- less effort
- 90
- joule (J)
- 1640
- 330
- 1
- through a distance
- 7
- 9
- 650
- no, work stays the same
- 120
- 60
- 20
- 1230
- 3
- 520
- 280
- 450
- 430
- 8
- 280
- 300
- 5
- 50
- 3
- 570
- 140
- 750
- 540
- 2400
- 9
- 6
- 200
- 9
- 10
- 750
- 410
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