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 410 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 2.🏋️ 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)
- 3.🏋️ 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
- 4.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 5.🏋️ A force of 50 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 6.🏋️ Pushing a crate 2 m took 740 J of work. What force was used, in newtons?
- 7.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 70 N did 280 J of work. How many metres did the object move?
- 9.🏋️ A force of 350 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 500 N did 4000 J of work. How many metres did the object move?
- 11.🏋️ Pushing a crate 5 m took 2050 J of work. What force was used, in newtons?
- 12.🏋️ A 16 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 150 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 1 m took 50 J of work. What force was used, in newtons?
- 15.🏋️ A machine lifts a load of 300 N when you push with 100 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 machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 18.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 480 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 20.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 24.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 330 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 26.🏋️ A 1 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.🏋️ 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)
- 28.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 29.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 340 N did 2720 J of work. How many metres did the object move?
- 31.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 290 N did 290 J of work. How many metres did the object move?
- 33.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 370 N did 740 J of work. How many metres did the object move?
- 35.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 37.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 430 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 39.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 2050
- 250
- no, work stays the same
- through a distance
- 50
- 370
- 2
- 4
- 350
- 8
- 410
- 640
- 1500
- 50
- 3
- 6
- 4
- 5
- 1920
- 510
- 680
- 150
- 2
- 3
- 3300
- 30
- 950
- load ÷ effort
- 3
- 8
- 3
- 1
- 4
- 2
- 500
- joule (J)
- 4
- 2580
- 450
- 120
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