Abaseball with a mass of 148 g is thrown horizontally with a speed of 40.7 m/s (91 mi/h) at a bat. the ball is in contact with the bat for 1.05 ms and then travels straight back at a speed of 45.0 m/s (101 mi/h). determine the average force exerted on the ball by the bat.

The average force exerted on the ball by the bat is 606.09N.

Explanation:

The average force can be found using Newton's second law:

(1)

Where F is the force, m is the mass and a is the acceleration.

The acceleration can be determined using the equations for a Uniformly Accelerated Rectilinear Motion:

 (2)

Where is the final velocity, is the initial velocity, a is the acceleration and t is the time.

Then a will be isolated from equation 2:  

(3)

Replacing equation (3) in equation (1) it is gotten:  

(4)

The time will be expressed from milliseconds to seconds before using it in equation (4):

⇒

The mass will be expressed from grams to kilograms before using it in equation (4):

⇒

Replacing all those values in equation 4 it is gotten:  

But , therefore:

So, the average force exerted on the ball by the bat is 606.09N.

this means that the temperature of both substances will be equal

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be