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 15 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 3.🏋️ Pushing a crate 1 m took 440 J of work. What force was used, in newtons?
- 4.🏋️ 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?
- 5.🏋️ A force of 360 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 6.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 7.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 50 N did 200 J of work. How many metres did the object move?
- 9.🏋️ A force of 110 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 330 N did 3300 J of work. How many metres did the object move?
- 11.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
- 12.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 13.🏋️ A force of 250 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 14.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 110 N did 990 J of work. How many metres did the object move?
- 16.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A force of 110 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 2 m took 400 J of work. What force was used, in newtons?
- 21.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 23.🏋️ Pushing a crate 3 m took 390 J of work. What force was used, in newtons?
- 24.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 250 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 26.🏋️ A 7 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ Pushing a crate 2 m took 520 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 2 m took 640 J of work. What force was used, in newtons?
- 29.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ Pushing a crate 7 m took 770 J of work. What force was used, in newtons?
- 31.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 60 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 400 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 36.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 130 N did 780 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 8 m took 240 J of work. What force was used, in newtons?
- 39.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 40.🏋️ A 12 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 400
- 4
- 440
- 160
- 720
- less effort
- 100
- 4
- 1100
- 10
- through a distance
- no, work stays the same
- 750
- 2
- 9
- 800
- 650
- 160
- 660
- 200
- 60
- 6
- 130
- 2
- 1750
- 210
- 260
- 320
- 750
- 110
- 300
- 350
- 3
- 240
- 400
- 3
- 6
- 30
- load ÷ effort
- 600
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