Question

a bowling ball has a mass of 5 kg.
what happens to its momentum when its speed increases from 1 m/s to 2 m/s?

the initial momentum is 5 kg·m/s, and the final momentum is 10 kg·m/s.

the initial momentum is 5 kg·m/s, and the final momentum is 20 kg·m/s.

the initial momentum is 5 kg·m/s, and the final momentum is 3 kg·m/s.

the initial momentum is 5 kg·m/s, and the final momentum is 7 kg·m/s.

Explanation:

Step1: Recall momentum formula

Momentum \( p = mv \), where \( m \) is mass and \( v \) is velocity.

Step2: Calculate initial momentum

Given \( m = 5\space kg \), \( v_{initial} = 1\space m/s \). So \( p_{initial} = 5\times1 = 5\space kg\cdot m/s \).

Step3: Calculate final momentum

\( v_{final} = 2\space m/s \), so \( p_{final} = 5\times2 = 10\space kg\cdot m/s \).

Answer:

The initial momentum is \( 5\space kg\cdot m/s \), and the final momentum is \( 10\space kg\cdot m/s \) (the first option).