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 smooth ramp is 2 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Pushing a crate 10 m took 1800 J of work. What force was used, in newtons?
- 3.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 4.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A force of 240 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 6.🏋️ A force of 30 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 8 m took 3040 J of work. What force was used, in newtons?
- 8.🏋️ Pushing a crate 1 m took 190 J of work. What force was used, in newtons?
- 9.🏋️ An 8 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 11.🏋️ Pushing a crate 3 m took 900 J of work. What force was used, in newtons?
- 12.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 13.🏋️ A force of 490 N did 1960 J of work. How many metres did the object move?
- 14.🏋️ A force of 400 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 15.🏋️ Pushing a crate 3 m took 1230 J of work. What force was used, in newtons?
- 16.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ Pushing a crate 2 m took 160 J of work. What force was used, in newtons?
- 18.🏋️ Pushing a crate 8 m took 80 J of work. What force was used, in newtons?
- 19.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 21.🏋️ A force of 410 N did 1640 J of work. How many metres did the object move?
- 22.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 200 N did 1800 J of work. How many metres did the object move?
- 24.🏋️ A force of 80 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 110 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 310 N did 2480 J of work. How many metres did the object move?
- 27.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 150 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 29.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 30.🏋️ A force of 230 N did 1150 J of work. How many metres did the object move?
- 31.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ 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?
- 33.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 36.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 38.🏋️ Pushing a crate 9 m took 630 J of work. What force was used, in newtons?
- 39.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 40.🏋️ A 4 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
- 500
- 180
- through a distance
- 150
- 1920
- 60
- 380
- 190
- 160
- 6
- 300
- no, work stays the same
- 4
- 1200
- 410
- 80
- 80
- 10
- 450
- less effort
- 4
- 5
- 9
- 160
- 220
- 8
- 100
- 1500
- load ÷ effort
- 5
- 400
- 240
- 600
- 40
- 5
- 700
- 2
- 70
- 5
- 40
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