Question

A baseball has a mass of 0.155 kg . A professional pitcher throws a baseball 90 mill/h ,which is 4om/s.What is the magnitude of the momentum of the pitched baseball?

Short answer

Answer

The magnitude of the momentum of the pitched baseball is 6.2 kg m/s.

Step-by-step solution

Identification of the given data

The given data can be listed below as

• The mass of the baseball is 0.155 kg.
• The velocity of the baseball is 40m/s .

 Step 2: Significance of Newton’s third law for the baseball

This law states that if a particular object exerts a force on a different object, the other object always exerts a force equal in magnitude but opposite in direction.

The equation of the momentum gives the magnitude of the momentum.

Determination of the magnitude of the momentum 

From Newton’s third law, the equation of momentum for the baseball is expressed as:

p = m . v

Here, p is the magnitude of the momentum, and m and v are the mass and the velocity of the baseball that are 0.155kg and 40m/s , respectively.

Substituting the values in the above equation, we get:

$$\begin{gathered} p=0.155kg\times 40m/s \\ p=0.155\times 40kg.m/s \\ p=6.2kg.m/s \end{gathered}$$

Thus, the magnitude of the momentum of the pitched baseball is 6.2kg.m/s .