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.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 310 N did 2480 J of work. How many metres did the object move?
- 3.🏋️ 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
- 4.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 6.🏋️ Pushing a crate 8 m took 240 J of work. What force was used, in newtons?
- 7.🏋️ A force of 470 N did 1880 J of work. How many metres did the object move?
- 8.🏋️ A force of 330 N did 1980 J of work. How many metres did the object move?
- 9.🏋️ A force of 370 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 230 N did 920 J of work. How many metres did the object move?
- 11.🏋️ A force of 290 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 12.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ 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?
- 14.🏋️ A force of 460 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 15.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 16.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 140 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 350 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 19.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 20.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 21.🏋️ Pushing a crate 7 m took 2450 J of work. What force was used, in newtons?
- 22.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 23.🏋️ A force of 370 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 10 m took 2600 J of work. What force was used, in newtons?
- 25.🏋️ A force of 290 N did 2030 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 2 m took 20 J of work. What force was used, in newtons?
- 27.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 400 N did 2400 J of work. How many metres did the object move?
- 31.🏋️ A force of 230 N did 690 J of work. How many metres did the object move?
- 32.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 40 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 120 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 35.🏋️ 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?
- 36.🏋️ A force of 290 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 420 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 460 N did 3220 J of work. How many metres did the object move?
- 39.🏋️ Pushing a crate 8 m took 2880 J of work. What force was used, in newtons?
- 40.🏋️ A force of 10 N pushes a cart 4 m along the floor. How much work is done, in joules?
Answer key
- 400
- 8
- no, work stays the same
- 50
- through a distance
- 30
- 4
- 6
- 2220
- 4
- 2900
- 500
- 20
- 920
- load ÷ effort
- 4
- 560
- 1750
- 5
- joule (J)
- 350
- less effort
- 1480
- 260
- 7
- 10
- 360
- 100
- 5
- 6
- 3
- 3
- 80
- 600
- 140
- 2030
- 4200
- 7
- 360
- 40
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