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 6 m long and rises 3 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 3.🏋️ A force of 10 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 190 N did 760 J of work. How many metres did the object move?
- 5.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 6.🏋️ A force of 300 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 130 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 8.🏋️ Pushing a crate 1 m took 300 J of work. What force was used, in newtons?
- 9.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 120 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 11.🏋️ A 1 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.🏋️ Pushing a crate 6 m took 3000 J of work. What force was used, in newtons?
- 13.🏋️ A force of 430 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ Pushing a crate 1 m took 290 J of work. What force was used, in newtons?
- 16.🏋️ Pushing a crate 10 m took 3000 J of work. What force was used, in newtons?
- 17.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 18.🏋️ 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
- 19.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ Pushing a crate 3 m took 810 J of work. What force was used, in newtons?
- 21.🏋️ A force of 140 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 22.🏋️ Pushing a crate 8 m took 560 J of work. What force was used, in newtons?
- 23.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 24.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ 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?
- 26.🏋️ A force of 80 N did 640 J of work. How many metres did the object move?
- 27.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) watt hour (d) metre (m)
- 28.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 29.🏋️ 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?
- 30.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 220 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 32.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A force of 300 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 240 N did 1920 J of work. How many metres did the object move?
- 35.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 280 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 37.🏋️ Pushing a crate 9 m took 3960 J of work. What force was used, in newtons?
- 38.🏋️ A force of 270 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 39.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ 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?
Answer key
- 950
- load ÷ effort
- 70
- 4
- through a distance
- 1500
- 260
- 300
- 6
- 600
- 10
- 500
- 860
- 120
- 290
- 300
- less effort
- no, work stays the same
- 140
- 270
- 1120
- 70
- 6
- 500
- 210
- 8
- joule (J)
- 2
- 330
- 4
- 880
- 120
- 600
- 8
- 5
- 1120
- 440
- 2430
- 150
- 30
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