Question

A 2.0-kg ball has a momentum of 25kg.m/s what is the ball's speed?

Answer 1

We know, momentum = mass * speed

25kgm/s = 2 kg * s

s = 25/2 = 12.5 m/s

Answer 2

The ball's speed is about 13 m/s

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Further explanation

Newton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.

$\large {\boxed {F = ma }$

F = Force ( Newton )

m = Object's Mass ( kg )

a = Acceleration ( m )

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$\large {\boxed {F = \frac{\Delta p}{t} }$

F = Force ( Newton )

p = Momentum of Object ( kg m/s )

t = Time Taken ( s )

Let us now tackle the problem !

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Given:

mass of ball = m = 2.0 kg

momentum of ball = p = 25 kgm/s

Asked:

speed of the ball = ?

Solution:

We could use formula for momentum to solve this problem:

$p = m v$

$v = p \div m$

$v = 25 \div 2.0$

$v = 12.5 \texttt{ m/s}$

$v \approx 13 \texttt{ m/s}$

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Conclusion :

The ball's speed is about 13 m/s

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Learn more

• Impacts of Gravity : brainly.com/question/5330244
• Effect of Earth’s Gravity on Objects : brainly.com/question/8844454
• The Acceleration Due To Gravity : brainly.com/question/4189441
• Newton's Law of Motion: brainly.com/question/10431582
• Example of Newton's Law: brainly.com/question/498822

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Answer details

Grade: High School

Subject: Physics

Chapter: Dynamics