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 40 N did 240 J of work. How many metres did the object move?
- 2.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 50 N did 400 J of work. How many metres did the object move?
- 5.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 80 N did 560 J of work. How many metres did the object move?
- 8.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 9.🏋️ Pushing a crate 6 m took 660 J of work. What force was used, in newtons?
- 10.🏋️ A force of 310 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 310 N did 1860 J of work. How many metres did the object move?
- 12.🏋️ 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?
- 13.🏋️ Pushing a crate 4 m took 1880 J of work. What force was used, in newtons?
- 14.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 15.🏋️ A force of 270 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 240 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 60 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 18.🏋️ 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)
- 19.🏋️ A force of 30 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 20.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 21.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 22.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A force of 150 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 24.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 10 N did 30 J of work. How many metres did the object move?
- 27.🏋️ A force of 270 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 28.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ 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?
- 30.🏋️ A force of 110 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 120 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 420 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 430 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 37.🏋️ Pushing a crate 3 m took 1260 J of work. What force was used, in newtons?
- 38.🏋️ A force of 330 N did 2640 J of work. How many metres did the object move?
- 39.🏋️ 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?
- 40.🏋️ A 2 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
- 6
- 560
- 3
- 8
- 650
- 950
- 7
- less effort
- 110
- 310
- 6
- 500
- 470
- through a distance
- 1620
- 240
- 420
- 950
- 60
- no, work stays the same
- joule (J)
- 40
- 300
- 420
- 4
- 3
- 2160
- 250
- 480
- 1100
- 120
- 100
- 240
- 2
- 3360
- 430
- 420
- 8
- 180
- 40
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