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 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 220 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 5.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 6.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 7.🏋️ A force of 180 N did 900 J of work. How many metres did the object move?
- 8.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 30 N did 210 J of work. How many metres did the object move?
- 10.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 11.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A force of 330 N did 2310 J of work. How many metres did the object move?
- 13.🏋️ Pushing a crate 10 m took 100 J of work. What force was used, in newtons?
- 14.🏋️ A force of 120 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 16.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 17.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ 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?
- 19.🏋️ Pushing a crate 5 m took 1550 J of work. What force was used, in newtons?
- 20.🏋️ A force of 380 N did 3420 J of work. How many metres did the object move?
- 21.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 22.🏋️ A force of 220 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 110 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 310 N did 3100 J of work. How many metres did the object move?
- 25.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 470 N did 2820 J of work. How many metres did the object move?
- 27.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 1 m took 140 J of work. What force was used, in newtons?
- 29.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 30.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 31.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ 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?
- 33.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 34.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 35.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 360 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 37.🏋️ Pushing a crate 9 m took 1890 J of work. What force was used, in newtons?
- 38.🏋️ Pushing a crate 10 m took 3800 J of work. What force was used, in newtons?
- 39.🏋️ A force of 310 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 340 N did 2040 J of work. How many metres did the object move?
Answer key
- 200
- 650
- 3
- 2200
- 4
- no, work stays the same
- 5
- 50
- 7
- through a distance
- 380
- 7
- 10
- 960
- 4
- 6
- 250
- 300
- 310
- 9
- load ÷ effort
- 440
- 330
- 10
- 3
- 6
- 800
- 140
- 1
- 4
- 400
- 120
- 5
- joule (J)
- 270
- 2520
- 210
- 380
- 620
- 6
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