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 290 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 230 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 3.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 5.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 6.🏋️ A force of 490 N did 490 J of work. How many metres did the object move?
- 7.🏋️ Pushing a crate 9 m took 3330 J of work. What force was used, in newtons?
- 8.🏋️ A 6 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A force of 420 N did 1680 J of work. How many metres did the object move?
- 10.🏋️ A force of 20 N did 20 J of work. How many metres did the object move?
- 11.🏋️ A force of 310 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 12.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 260 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 180 N did 180 J of work. How many metres did the object move?
- 15.🏋️ A force of 260 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 16.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, by half (d) yes, always
- 17.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Pushing a crate 8 m took 3280 J of work. What force was used, in newtons?
- 20.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 21.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 22.🏋️ A force of 20 N did 80 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 24.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 5 m took 300 J of work. What force was used, in newtons?
- 26.🏋️ A force of 80 N did 240 J of work. How many metres did the object move?
- 27.🏋️ A force of 400 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 470 N did 2350 J of work. How many metres did the object move?
- 29.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 160 N did 160 J of work. How many metres did the object move?
- 31.🏋️ A force of 220 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 32.🏋️ 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?
- 33.🏋️ Pushing a crate 3 m took 1470 J of work. What force was used, in newtons?
- 34.🏋️ A force of 220 N did 1320 J of work. How many metres did the object move?
- 35.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A 7 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 230 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 310 N did 1240 J of work. How many metres did the object move?
- 39.🏋️ A force of 380 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 40.🏋️ 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?
Answer key
- 580
- 460
- 240
- through a distance
- joule (J)
- 1
- 370
- 180
- 4
- 1
- 1550
- 5
- 1300
- 1
- 1820
- no, work stays the same
- 480
- 90
- 410
- load ÷ effort
- less effort
- 4
- 4
- 2
- 60
- 3
- 2800
- 5
- 250
- 1
- 1540
- 140
- 490
- 6
- 750
- 210
- 1840
- 4
- 3420
- 10
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