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.
NameDateTime takenScore ___ / 40
- 1.🏋️ Pushing a crate 1 m took 410 J of work. What force was used, in newtons?
- 2.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 4.🏋️ A force of 330 N did 1320 J of work. How many metres did the object move?
- 5.🏋️ A force of 410 N did 4100 J of work. How many metres did the object move?
- 6.🏋️ A force of 180 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 1 m took 140 J of work. What force was used, in newtons?
- 8.🏋️ A force of 320 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 10 N did 60 J of work. How many metres did the object move?
- 10.🏋️ 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)
- 11.🏋️ Pushing a crate 10 m took 3000 J of work. What force was used, in newtons?
- 12.🏋️ Pushing a crate 1 m took 280 J of work. What force was used, in newtons?
- 13.🏋️ Pushing a crate 7 m took 1540 J of work. What force was used, in newtons?
- 14.🏋️ 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?
- 15.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 70 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 19.🏋️ An 8 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.🏋️ A force of 20 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 21.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 22.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) more effort (d) the same effort
- 24.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ Pushing a crate 5 m took 1050 J of work. What force was used, in newtons?
- 26.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 490 N did 1960 J of work. How many metres did the object move?
- 29.🏋️ A force of 460 N did 2300 J of work. How many metres did the object move?
- 30.🏋️ 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?
- 31.🏋️ A force of 210 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 110 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 33.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 6 m took 300 J of work. What force was used, in newtons?
- 37.🏋️ A force of 230 N did 2070 J of work. How many metres did the object move?
- 38.🏋️ A force of 380 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 6 m took 1620 J of work. What force was used, in newtons?
- 40.🏋️ A force of 260 N did 1820 J of work. How many metres did the object move?
Answer key
- 410
- 850
- load ÷ effort
- 4
- 10
- 1080
- 140
- 3200
- 6
- 650
- 300
- 280
- 220
- 440
- 200
- 2
- 560
- 5
- 320
- 60
- through a distance
- 140
- less effort
- 200
- 210
- 510
- 850
- 4
- 5
- 520
- 630
- 110
- 200
- 100
- 2
- 50
- 9
- 2280
- 270
- 7
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