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.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 2.🏋️ A force of 410 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 3.🏋️ A 1 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 force of 470 N did 1410 J of work. How many metres did the object move?
- 5.🏋️ 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)
- 6.🏋️ 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?
- 7.🏋️ A force of 480 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 130 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 10 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 10.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 11.🏋️ A force of 10 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 12.🏋️ An 8 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A force of 290 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 3 m took 1350 J of work. What force was used, in newtons?
- 15.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 16.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 17.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 18.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 130 N did 260 J of work. How many metres did the object move?
- 22.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A force of 360 N did 2520 J of work. How many metres did the object move?
- 24.🏋️ A force of 140 N did 840 J of work. How many metres did the object move?
- 25.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 90 N did 360 J of work. How many metres did the object move?
- 28.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 29.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 260 N did 1040 J of work. How many metres did the object move?
- 31.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 340 N did 680 J of work. How many metres did the object move?
- 35.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 36.🏋️ A force of 40 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 350 N did 3150 J of work. How many metres did the object move?
- 38.🏋️ A force of 450 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 39.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- no, work stays the same
- 820
- 20
- 3
- 850
- 570
- 3360
- 390
- 80
- through a distance
- 30
- 320
- 2900
- 450
- joule (J)
- 3
- 2
- 850
- 120
- 100
- 2
- 180
- 7
- 6
- 500
- 2
- 4
- 6
- 900
- 4
- 250
- 950
- 350
- 2
- load ÷ effort
- 360
- 9
- 900
- 900
- 500
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