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 machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 2.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 3.🏋️ A force of 230 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 260 N did 780 J of work. How many metres did the object move?
- 5.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 6.🏋️ Pushing a crate 10 m took 3000 J of work. What force was used, in newtons?
- 7.🏋️ An 11 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.🏋️ A force of 380 N did 380 J of work. How many metres did the object move?
- 9.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) the same effort (d) no effort
- 11.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 12.🏋️ Pushing a crate 2 m took 720 J of work. What force was used, in newtons?
- 13.🏋️ A force of 290 N did 2030 J of work. How many metres did the object move?
- 14.🏋️ A force of 480 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 270 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 190 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 1 m took 20 J of work. What force was used, in newtons?
- 18.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 20.🏋️ 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?
- 21.🏋️ 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?
- 22.🏋️ A force of 430 N did 4300 J of work. How many metres did the object move?
- 23.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 280 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 240 N did 2400 J of work. How many metres did the object move?
- 27.🏋️ A force of 200 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 29.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ 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)
- 32.🏋️ A force of 70 N did 560 J of work. How many metres did the object move?
- 33.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ Pushing a crate 1 m took 290 J of work. What force was used, in newtons?
- 35.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 10 m took 4500 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 38.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 39.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 250 N did 250 J of work. How many metres did the object move?
Answer key
- 2
- no, work stays the same
- 2070
- 3
- joule (J)
- 300
- 550
- 1
- 30
- less effort
- load ÷ effort
- 360
- 7
- 1440
- 2700
- 760
- 20
- 150
- through a distance
- 380
- 100
- 10
- 720
- 450
- 560
- 10
- 2000
- 5
- 950
- 80
- 850
- 8
- 50
- 290
- 5
- 450
- 3
- 4
- 3
- 1
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