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 5 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 3.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 440 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 5.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 7.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ 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?
- 9.🏋️ Pushing a crate 1 m took 270 J of work. What force was used, in newtons?
- 10.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 11.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 410 N did 1230 J of work. How many metres did the object move?
- 14.🏋️ 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?
- 15.🏋️ A force of 340 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 16.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 17.🏋️ A force of 20 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 140 N did 420 J of work. How many metres did the object move?
- 19.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 20 N did 180 J of work. How many metres did the object move?
- 22.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 23.🏋️ Pushing a crate 6 m took 540 J of work. What force was used, in newtons?
- 24.🏋️ A force of 180 N did 1620 J of work. How many metres did the object move?
- 25.🏋️ A force of 70 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 26.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ 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?
- 28.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 29.🏋️ A force of 300 N did 1800 J of work. How many metres did the object move?
- 30.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ Pushing a crate 4 m took 640 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 3 m took 420 J of work. What force was used, in newtons?
- 34.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 35.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 36.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 140 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 39.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 40.🏋️ 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?
Answer key
- 600
- no, work stays the same
- 900
- 2200
- 650
- 5
- 300
- 160
- 270
- through a distance
- 400
- 700
- 3
- 160
- 340
- joule (J)
- 160
- 3
- 250
- 50
- 9
- 6
- 90
- 9
- 140
- 300
- 80
- less effort
- 6
- 650
- 200
- 160
- 140
- load ÷ effort
- 4
- 170
- 20
- 140
- 2
- 80
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