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 80 N did 800 J of work. How many metres did the object move?
- 2.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 3.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Pushing a crate 4 m took 1680 J of work. What force was used, in newtons?
- 6.🏋️ Pushing a crate 10 m took 2300 J of work. What force was used, in newtons?
- 7.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 8.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) effort ÷ load (d) load × effort
- 9.🏋️ A force of 160 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 10.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ 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?
- 12.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 80 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 160 N did 160 J of work. How many metres did the object move?
- 17.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 18.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 19.🏋️ A force of 500 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 20.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 21.🏋️ Pushing a crate 6 m took 780 J of work. What force was used, in newtons?
- 22.🏋️ A force of 30 N did 30 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 1 m took 360 J of work. What force was used, in newtons?
- 24.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 26.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 270 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 28.🏋️ 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
- 29.🏋️ A force of 10 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 9 m took 3870 J of work. What force was used, in newtons?
- 31.🏋️ A force of 140 N did 1400 J of work. How many metres did the object move?
- 32.🏋️ A force of 250 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 33.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 490 N did 490 J of work. How many metres did the object move?
- 36.🏋️ Pushing a crate 5 m took 500 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 10 m took 1200 J of work. What force was used, in newtons?
- 38.🏋️ 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?
- 39.🏋️ A force of 320 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 40.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
Answer key
- 10
- 100
- 100
- 400
- 420
- 230
- 4
- load ÷ effort
- 480
- 270
- 200
- 1000
- 350
- 560
- 6
- 1
- 5
- less effort
- 3500
- 2
- 130
- 1
- 360
- 560
- 4
- 3
- 270
- no, work stays the same
- 90
- 430
- 10
- 2500
- 700
- 750
- 1
- 100
- 120
- 330
- 2240
- through a distance
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