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 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 4.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) without moving it (d) very slowly
- 6.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 7.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 8.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 9.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 10.🏋️ 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?
- 11.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 120 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 13.🏋️ 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?
- 14.🏋️ Pushing a crate 9 m took 1890 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 10 m took 3600 J of work. What force was used, in newtons?
- 16.🏋️ Pushing a crate 7 m took 3500 J of work. What force was used, in newtons?
- 17.🏋️ 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?
- 18.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 40 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 450 N did 900 J of work. How many metres did the object move?
- 21.🏋️ A force of 20 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 260 N did 1300 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 24.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 25.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 26.🏋️ A force of 260 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 27.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 460 N did 3680 J of work. How many metres did the object move?
- 29.🏋️ A force of 430 N did 4300 J of work. How many metres did the object move?
- 30.🏋️ A force of 170 N did 1530 J of work. How many metres did the object move?
- 31.🏋️ A force of 90 N did 270 J of work. How many metres did the object move?
- 32.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 33.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 35.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 470 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 190 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 10 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 39.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 40.🏋️ A 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 150
- 60
- 2
- 100
- through a distance
- 5
- 6
- less effort
- 2
- 420
- 2
- 120
- 120
- 210
- 360
- 500
- 180
- 2
- 160
- 2
- 40
- 5
- 3
- 6
- no, work stays the same
- 2340
- 400
- 8
- 10
- 9
- 3
- 4
- 900
- 3
- 750
- 3290
- 1520
- 50
- 4
- 650
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