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 19 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ 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)
- 4.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 90 N did 720 J of work. How many metres did the object move?
- 7.🏋️ Pushing a crate 3 m took 300 J of work. What force was used, in newtons?
- 8.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A force of 370 N did 370 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 8 m took 2400 J of work. What force was used, in newtons?
- 11.🏋️ A force of 30 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 12.🏋️ 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?
- 13.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, by half (d) yes, always
- 14.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 100 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 1 m took 370 J of work. What force was used, in newtons?
- 20.🏋️ A force of 40 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 21.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 23.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A force of 300 N did 3000 J of work. How many metres did the object move?
- 25.🏋️ A force of 400 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 26.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 28.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A 13 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ Pushing a crate 2 m took 800 J of work. What force was used, in newtons?
- 32.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 33.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 36.🏋️ A force of 340 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 37.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 38.🏋️ Pushing a crate 2 m took 680 J of work. What force was used, in newtons?
- 39.🏋️ A force of 350 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 120 N pushes a cart 6 m along the floor. How much work is done, in joules?
Answer key
- 950
- 800
- 50
- 850
- 5
- 8
- 100
- 80
- 1
- 300
- 210
- 160
- no, work stays the same
- 550
- 4
- 900
- 1000
- 950
- 370
- 200
- 700
- through a distance
- 450
- 10
- 400
- 480
- joule (J)
- 570
- 550
- 520
- 400
- 4
- 400
- 950
- load ÷ effort
- 1360
- 3
- 340
- 2100
- 720
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