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 120 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 10 N did 10 J of work. How many metres did the object move?
- 3.🏋️ A force of 150 N did 1200 J of work. How many metres did the object move?
- 4.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 5.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 6.🏋️ 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?
- 7.🏋️ A 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 9.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Pushing a crate 7 m took 280 J of work. What force was used, in newtons?
- 11.🏋️ A force of 130 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 12.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ Pushing a crate 7 m took 770 J of work. What force was used, in newtons?
- 14.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 17.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 140 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 140 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 21.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Pushing a crate 4 m took 1840 J of work. What force was used, in newtons?
- 23.🏋️ A force of 380 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 7 m took 2520 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 10 m took 2500 J of work. What force was used, in newtons?
- 26.🏋️ A force of 410 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 27.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 28.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 30.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 480 N did 4320 J of work. How many metres did the object move?
- 33.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 290 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 1 m took 370 J of work. What force was used, in newtons?
- 36.🏋️ A force of 490 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 250 N did 1750 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 39.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 840
- 1
- 8
- no, work stays the same
- through a distance
- 330
- 650
- joule (J)
- 150
- 40
- 520
- 10
- 110
- 380
- 150
- load ÷ effort
- 300
- 3
- 980
- 420
- 500
- 460
- 3040
- 360
- 250
- 4100
- less effort
- 440
- 4
- 2
- 100
- 9
- 2
- 2030
- 370
- 980
- 7
- 6
- 850
- 100
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