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.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 2.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 4.🏋️ A force of 30 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 160 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 6.🏋️ Pushing a crate 5 m took 1650 J of work. What force was used, in newtons?
- 7.🏋️ Pushing a crate 2 m took 980 J of work. What force was used, in newtons?
- 8.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 10.🏋️ Pushing a crate 1 m took 40 J of work. What force was used, in newtons?
- 11.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 13.🏋️ Pushing a crate 1 m took 310 J of work. What force was used, in newtons?
- 14.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ Pushing a crate 1 m took 360 J of work. What force was used, in newtons?
- 16.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 17.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A force of 50 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 360 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 10 m took 200 J of work. What force was used, in newtons?
- 22.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 25.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 90 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 28.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 20 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 30.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) no, work stays the same (d) yes, by half
- 31.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ Pushing a crate 2 m took 240 J of work. What force was used, in newtons?
- 33.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 260 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 60 N did 480 J of work. How many metres did the object move?
- 38.🏋️ A force of 370 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 39.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ 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?
Answer key
- joule (J)
- 420
- load ÷ effort
- 270
- 1280
- 330
- 490
- 850
- 3
- 40
- 280
- through a distance
- 310
- 150
- 360
- 6
- 200
- 360
- 300
- 1800
- 20
- 4
- 950
- 5
- 120
- 5
- 720
- 900
- 200
- no, work stays the same
- 400
- 120
- 350
- 350
- 6
- 260
- 8
- 2590
- 150
- 330
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