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.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 2.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Pushing a crate 8 m took 1520 J of work. What force was used, in newtons?
- 4.🏋️ A force of 500 N did 3500 J of work. How many metres did the object move?
- 5.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 6.🏋️ A force of 450 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 290 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 8.🏋️ Pushing a crate 7 m took 1260 J of work. What force was used, in newtons?
- 9.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 13.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 14.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 15.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 20 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 19.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 20.🏋️ Pushing a crate 6 m took 180 J of work. What force was used, in newtons?
- 21.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 20 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 23.🏋️ Pushing a crate 5 m took 1900 J of work. What force was used, in newtons?
- 24.🏋️ A force of 460 N did 4600 J of work. How many metres did the object move?
- 25.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 26.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 27.🏋️ A force of 140 N did 980 J of work. How many metres did the object move?
- 28.🏋️ A force of 10 N did 90 J of work. How many metres did the object move?
- 29.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 30.🏋️ Pushing a crate 8 m took 3280 J of work. What force was used, in newtons?
- 31.🏋️ A force of 300 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 32.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 240 N did 1920 J of work. How many metres did the object move?
- 34.🏋️ A force of 190 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 7 m took 2520 J of work. What force was used, in newtons?
- 37.🏋️ A force of 10 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 39.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 30 N pushes a cart 5 m along the floor. How much work is done, in joules?
Answer key
- load ÷ effort
- 150
- 190
- 7
- no, work stays the same
- 2700
- 1740
- 180
- 550
- 850
- 550
- joule (J)
- 3
- 4
- 900
- 800
- 600
- 20
- 5
- 30
- 50
- 140
- 380
- 10
- 4
- through a distance
- 7
- 9
- 6
- 410
- 900
- 5
- 8
- 380
- 4
- 360
- 70
- 2
- 120
- 150
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