← Momentum and impulse

Calculate the momentum

A 1500 kg car travels along a highway at 20 m/s. How much momentum does it carry?

You have the equation p = mv. This lesson is practice: given a mass and a velocity, calculate the momentum, quickly and every time with the same steps.

Every solve runs the same four steps: write down the values and mark the unknown, write down the equation, substitute in the values, simplify.

Step 1: the values, unknown markedquantityvaluem1500 kgv20 m/sp?
Step 1: write down the values, and mark the unknown.
Steps 2 and 3: equation, then substitutionsteplineequationp = mvsubstitutep = 1500 × 20 = 30000resultp = 30000 kg·m/s
Steps 2 and 3: the equation, then p = 1500 × 20 = 30000 kg·m/s.

With m in kilograms and v in meters per second, the momentum comes out in kg·m/s.

The result line always carries its unit.

To find a momentum, write down the values, write down p = mv, then substitute in the values and calculate. The result carries its unit: kg·m/s.

A 1500 kg car travels at 20 m/s. Calculate its momentum.

Write down the values:

m = 1500 kg, v = 20 m/s, p = ?

Write down the equation:

p = mv

Substitute in the values, and calculate:

p = 1500 × 20 = 30000

The car's momentum is 30000 kg·m/s.

A 0.16 kg hockey puck slides at 12 m/s. Calculate its momentum.

Write down the values:

m = 0.16 kg, v = 12 m/s, p = ?

Write down the equation:

p = mv

Substitute in the values, and calculate:

p = 0.16 × 12 = 1.92

The puck's momentum is 1.92 kg·m/s.

Quick-fire drill

A 3.5 kg cart rolls at 4.0 m/s. Enter its momentum in kg·m/s.

A 60 kg runner moves at 7.0 m/s. Enter the runner's momentum in kg·m/s.

A 0.45 kg soccer ball flies at 18 m/s. Enter its momentum in kg·m/s.

A 900 kg car travels at 25 m/s. Enter its momentum in kg·m/s.

A 7.2 kg bowling ball rolls at 6.5 m/s. Enter its momentum in kg·m/s.

A loaded canoe has a mass of 110 kg. It drifts toward a dock at 1.5 m/s. Enter the canoe's momentum in kg·m/s.

Your turn

A 1200 kg van travels at 15 m/s. Enter its momentum in kg·m/s.

Three movers are compared: a wagon of mass 3.0 kg moving at 8.0 m/s, a cart of mass 6.0 kg moving at 3.0 m/s, and a skateboard of mass 2.0 kg moving at 10.0 m/s. Which option lists the three from largest momentum to smallest?

A 0.057 kg tennis ball leaves a serve at 50 m/s. Enter its momentum in kg·m/s.