← Impulse and momentum change

Calculate the impulse

Esther's tow rope exerts a steady 150 N net force on a stalled go-kart for 0.40 s.

How much impulse does the go-kart receive from the 150 N force over the 0.40 s?

You have seen the equation: J = FΔt.

Finding an impulse is a routine, and the same three steps work every time.

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

Step 2: write down the equation.

Step 1: the values, unknown markedquantityvalueF150 NΔt0.40 sJ?
Step 1: write down the values, and mark the unknown.

Step 3: substitute in the values, and calculate.

Steps 2 and 3: equation, then substitutionsteplineequationJ = FΔtsubstituteJ = 150 × 0.40 = 60resultJ = 60 N·s
Steps 2 and 3: the equation, then J = 150 × 0.40 = 60 N·s.

The result line always carries its unit: newton-seconds (N·s).

The F you substitute is the net force on the object, and Δt is the time that force acts.

To find an impulse, write down the values, write down J = FΔt, then substitute in the values and calculate. The result carries its unit: N·s.

Esther's tow rope exerts a steady 150 N net force on a go-kart for 0.40 s. Calculate the impulse delivered.

Write down the values:

F = 150 N, Δt = 0.40 s, J = ?

Write down the equation:

J = FΔt

Substitute in the values, and calculate:

J = 150 × 0.40 = 60

The go-kart receives an impulse of 60 N·s.

A batting machine's arm exerts a 200 N net force on a ball for 0.1 s. Calculate the impulse delivered.

Write down the values:

F = 200 N, Δt = 0.1 s, J = ?

Write down the equation:

J = FΔt

Substitute in the values, and calculate:

J = 200 × 0.1 = 20

The ball receives an impulse of 20 N·s.

Quick-fire drill

A hockey stick exerts an 85 N net force on a puck for 0.02 s. Enter the impulse delivered in N·s.

A tennis racket exerts a 120 N net force on a ball for 0.035 s. Enter the impulse delivered in N·s.

Gunnar's wheelbarrow feels a 26 N net force for 2.5 s. Enter the impulse delivered in N·s.

A rowing stroke keeps a 90 N net force on a rowboat for 1.2 s. Enter the impulse delivered in N·s.

A soccer kick exerts a 950 N net force on the ball for 0.008 s. Enter the impulse delivered in N·s.

A tugboat's line provides a steady 4000 N net force on a small cargo boat for 15 s. Enter the impulse delivered in N·s.

Your turn

A net force of 55 N acts on a sled for 0.60 s. Enter the impulse delivered in N·s.

One of Wilma's kayak strokes keeps a 70 N net force on the kayak for 0.9 s. Enter the impulse the stroke delivers in N·s.

A bumper car starts up from the line. While its motor runs at full power, the car feels a steady 36 N net force, and the run lasts 4.5 s. Enter the impulse delivered in N·s.