Question

work = force x distance, force = work / distance, distance = work / force

1. amy uses 20n of force to push a lawn mower 10 meters. how much work does she do?
2. how much work does an elephant do while moving a circus wagon 20 meters with a pulling force of 200n?
3. alex applies 350n of force to move his stalled car 40 meters, how much work did alex do?
4. tommy does 15 joules of work to push the pencil over 1 meter. how much force did he use?
5. angela uses a force of 25 newtons to lift her grocery bag while doing 50 joules of work. how far did she lift the grocery bags
6. the baseball player does 1234 joules of work when hitting a baseball into left field. assuming the the baseball landed 100 meters away from home plate, how much force did the player use to hit the ball?

Explanation:

Step1: Identify the formula

Work \(W = F\times d\) (where \(F\) is force and \(d\) is distance), \(F=\frac{W}{d}\), \(d = \frac{W}{F}\)

Step2: Solve problem 1

Given \(F = 20N\) and \(d=10m\). Using \(W = F\times d\), we have \(W=20\times10\)

$$W = 200J$$

Step3: Solve problem 2

Given \(F = 200N\) and \(d = 20m\). Using \(W=F\times d\), we have \(W=200\times20\)

$$W=4000J$$

Step4: Solve problem 3

Given \(F = 350N\) and \(d = 40m\). Using \(W=F\times d\), we have \(W=350\times40\)

$$W = 14000J$$

Step5: Solve problem 4

Given \(W = 15J\) and \(d = 1m\). Using \(F=\frac{W}{d}\), we have \(F=\frac{15}{1}\)

$$F=15N$$

Step6: Solve problem 5

Given \(W = 50J\) and \(F = 25N\). Using \(d=\frac{W}{F}\), we have \(d=\frac{50}{25}\)

$$d = 2m$$

Step7: Solve problem 6

Given \(W = 1234J\) and \(d = 100m\). Using \(F=\frac{W}{d}\), we have \(F=\frac{1234}{100}\)

$$F = 12.34N$$

Answer:

1. \(200J\)
2. \(4000J\)
3. \(14000J\)
4. \(15N\)
5. \(2m\)
6. \(12.34N\)