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 350 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 210 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 3.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 7.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 8.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ 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
- 10.🏋️ A force of 160 N did 960 J of work. How many metres did the object move?
- 11.🏋️ A force of 360 N did 2160 J of work. How many metres did the object move?
- 12.🏋️ A force of 180 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 13.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 310 N did 930 J of work. How many metres did the object move?
- 15.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 17.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 18.🏋️ A 3 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 smooth ramp is 2 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 21.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Pushing a crate 9 m took 4050 J of work. What force was used, in newtons?
- 23.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 25.🏋️ 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?
- 26.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 90 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 290 N did 1740 J of work. How many metres did the object move?
- 29.🏋️ Pushing a crate 10 m took 4200 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 1 m took 150 J of work. What force was used, in newtons?
- 31.🏋️ A force of 150 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 370 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 50 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 210 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 340 N did 2380 J of work. How many metres did the object move?
- 36.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 38.🏋️ Pushing a crate 7 m took 2870 J of work. What force was used, in newtons?
- 39.🏋️ A force of 480 N did 3840 J of work. How many metres did the object move?
- 40.🏋️ Pushing a crate 2 m took 900 J of work. What force was used, in newtons?
Answer key
- 700
- 1050
- 320
- 600
- 850
- 5
- through a distance
- 390
- no, work stays the same
- 6
- 6
- 1440
- 2
- 3
- 200
- less effort
- load ÷ effort
- 30
- 150
- joule (J)
- 600
- 450
- 350
- 5
- 160
- 600
- 900
- 6
- 420
- 150
- 600
- 370
- 150
- 420
- 7
- 250
- 4
- 410
- 8
- 450
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