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 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ Pushing a crate 6 m took 2940 J of work. What force was used, in newtons?
- 3.🏋️ 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?
- 4.🏋️ A force of 280 N did 2240 J of work. How many metres did the object move?
- 5.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) only on Mondays (d) yes, always
- 7.🏋️ A force of 50 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 8.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 9.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ Pushing a crate 10 m took 5000 J of work. What force was used, in newtons?
- 11.🏋️ A force of 30 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 12.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) without moving it (d) only upwards
- 13.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 300 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 140 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 17.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 18.🏋️ 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?
- 19.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 20.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Pushing a crate 5 m took 600 J of work. What force was used, in newtons?
- 22.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 23.🏋️ A 2 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 machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 110 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 26.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 7 m took 2240 J of work. What force was used, in newtons?
- 30.🏋️ A force of 280 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 31.🏋️ Pushing a crate 8 m took 3360 J of work. What force was used, in newtons?
- 32.🏋️ A force of 350 N did 2450 J of work. How many metres did the object move?
- 33.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 36.🏋️ Pushing a crate 3 m took 450 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 38.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 340 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 40.🏋️ 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?
Answer key
- 120
- 490
- 180
- 8
- 500
- no, work stays the same
- 350
- 2
- 900
- 500
- 60
- through a distance
- 900
- 5
- 2400
- 980
- 3
- 360
- 10
- 150
- 120
- 2
- 80
- 3
- 440
- 130
- 800
- 6
- 320
- 1400
- 420
- 7
- 180
- 360
- joule (J)
- 150
- 2
- 700
- 3060
- 400
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