← Weight, mass and free-body diagrams

Calculate the weight

Yusuf loads bricks onto a pallet. Each brick has a mass of 3.0 kg.

What is one brick's weight, in newtons? Take g = 9.8 N/kg.

You know the equation: w = mg.

Finding a weight is a routine. The same three steps work every time.

Step 1: write down the values in the question, and mark the unknown.

QuantityValuem3.0 kgg9.8 N/kgw?
Step 1 for the brick: the values, with the unknown marked.

Step 2: write down the equation.

Step 3: substitute in the values, and calculate.

StepLineequationw = mgsubstitutew = 3.0 × 9.8 = 29.4resultw = 29.4 N
Steps 2 and 3 for the brick: the equation, then w = 3.0 × 9.8 = 29.4 N.

The result line always carries its unit: newtons.

The g you substitute is the local value: 9.8 N/kg on Earth, 1.6 N/kg on the Moon.

The routine itself does not change from place to place.

To find a weight, write down the values, write down w = mg, then substitute in the values and calculate. The result carries its unit, and the g is the local value.

A brick has a mass of 3.0 kg. Take g = 9.8 N/kg. Calculate the brick's weight.

Write down the values:

m = 3.0 kg, g = 9.8 N/kg, w = ?

Write down the equation:

w = mg

Substitute in the values, and calculate:

w = 3.0 × 9.8 = 29.4

The brick weighs 29.4 N, about 29 N.

The same 3.0 kg brick rides to the Moon, where g = 1.6 N/kg. Calculate its weight there.

Write down the values:

m = 3.0 kg, g = 1.6 N/kg, w = ?

Write down the equation:

w = mg

Substitute in the values, and calculate:

w = 3.0 × 1.6 = 4.8

On the Moon the brick weighs 4.8 N.

Quick-fire drill

A bowling ball has a mass of 6.0 kg. Take g = 9.8 N/kg. Enter its weight in N.

A gymnast has a mass of 45 kg. Take g = 9.8 N/kg. Enter her weight in N.

A textbook has a mass of 0.80 kg. Take g = 9.8 N/kg. Enter its weight in N.

On the Moon, g = 1.6 N/kg. An oxygen tank there has a mass of 7.5 kg. Enter its weight on the Moon in N.

A vending machine has a mass of 120 kg. Take g = 9.8 N/kg. Enter its weight in N.

On Mars, g = 3.7 N/kg. A rover wheel there has a mass of 20 kg. Enter its weight on Mars in N.

Your turn

A packed suitcase has a mass of 14 kg. Take g = 9.8 N/kg. Enter its weight in N.

Demi wheels her camping cooler to the campsite. The cooler has a mass of 9.5 kg. Take g = 9.8 N/kg. Enter its weight in N.

On Mars, g = 3.7 N/kg. An astronaut together with her suit has a mass of 65 kg. Enter their weight on Mars in N.