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 force of 340 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 240 N did 1920 J of work. How many metres did the object move?
- 3.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 4.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 5.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 6.🏋️ A force of 280 N did 1400 J of work. How many metres did the object move?
- 7.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 9.🏋️ A force of 60 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 210 N did 630 J of work. How many metres did the object move?
- 11.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 12.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 13.🏋️ 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)
- 14.🏋️ A force of 420 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 470 N did 940 J of work. How many metres did the object move?
- 17.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 18.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 21.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 240 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 480 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 27.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 30.🏋️ 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)
- 31.🏋️ A force of 470 N did 2350 J of work. How many metres did the object move?
- 32.🏋️ A force of 440 N did 3960 J of work. How many metres did the object move?
- 33.🏋️ A force of 450 N did 4500 J of work. How many metres did the object move?
- 34.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 5 m took 1550 J of work. What force was used, in newtons?
- 37.🏋️ A force of 250 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
Answer key
- 3400
- 8
- joule (J)
- 6
- less effort
- 5
- 400
- through a distance
- 120
- 3
- 5
- no, work stays the same
- 50
- 1260
- 4
- 2
- 3
- 350
- 650
- load ÷ effort
- 700
- 300
- 350
- 150
- 480
- 2880
- 160
- 500
- 6
- 150
- 5
- 9
- 10
- 800
- 2
- 310
- 250
- 180
- 240
- 3
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