← Work as energy transfer

What negative work means

A sled slides across level snow, slowing. Friction does -40 J of work on it.

A minus sign on an amount of energy: what is it saying about the sled?

Friction acts against the sled's motion, so its work carries the negative sign from the last lesson.

energy of motion (J)100 Jsled before60 Jsled after friction's -40 J
Friction's -40 J removes 40 J: the sled drops from 100 J to 60 J.

Recall what positive work does: the work done on an object equals the energy transferred to it.

A rope doing +40 J of work on a sled hands the sled 40 J.

energy of motion (J)50 Jwagon before80 Jwagon after the rope's +30 J
The rope's +30 J adds 30 J: the wagon rises from 50 J to 80 J.
Negative work runs the transfer the other way: the force removes energy from the object instead of adding it.

So friction doing -40 J on the sled leaves the sled with 40 J less energy of motion.

Friction does -25 J of work on a skateboard rolling along a path. Does friction add energy to the skateboard or remove energy from it?

Read a signed work in two parts. The size says how much energy moves. The sign says which way it moves.

+40 J: the force adds 40 J to the object. -40 J: the force removes 40 J from it.

Reading a signed workwork donewhat the force does+30 Jadds 30 J to the object-40 Jremoves 40 J from the object
The size says how much energy moves. The sign says which way.

A braking force does -150 J of work on a go-kart. Enter how many joules of energy the braking force removes from the go-kart.

A rope tow does +300 J of work on a snow tuber. What happens to the tuber's energy?

The work is positive, so the force adds energy to the tuber.

The size of the work says how much: 300 J.

The rope tow adds 300 J of energy to the tuber.

Air resistance does -55 J of work on a paraglider during a descent. What happens to the paraglider's energy?

The work is negative, so the force removes energy from the paraglider.

The size of the work says how much: 55 J.

Air resistance removes 55 J of energy from the paraglider.

Talia says: 'A force that does -75 J of work on a wagon removes 75 J of energy from the wagon.' Is Talia correct?

Your turn

Friction does -90 J of work on a mountain bike coasting along a trail. Which statement is correct?

Water resistance does -480 J of work on a canoe gliding toward a dock. Enter how many joules of energy the water resistance removes from the canoe.

A library cart slows after Romy lets go, while friction does negative work on it. Why does the cart end up with less energy of motion?