Question

What’s the force of a pitching machine on a baseball?

Baseballs pitched by a machine have a horizontal velocity of 30 meters/second. The machine accelerates the baseball from 0 meters/second to 30 meters/second in 0.5 seconds. If a baseball has a mass of 0.15 kilograms, the force the machine exerts is ____ newtons.

Answer 1

Force, F = 9 N

Step-by-step explanation:

Initial velocity of the baseball, u = 0 m/s

Final velocity of the baseball, v = 30 m/s

Time taken, t = 0.5 s

Mass of the baseball, m = 0.15 kg

We know that the force of a pitching machine on a baseball is given by using second law of motion. It is given by :

`F=ma`

`F=m* (v-u)/(t)`

`F=0.15* (30)/(0.5)`

F = 9 N

So, the force of 9 N is pitching machine exert on a baseball. Hence, this is the required solution.

Answer 2

F = 9 N

Step-by-step explanation:

As we know that the acceleration of ball is given as rate of change in velocity of the object

so here we will have

`a = (dv)/(dt)`

here we know that

`v_i = 0`

`v_f = 30 m/s`

`\Delta t = 0.5 s`

now we will have

`a = (30 - 0)/(0.5) = 60 m/s^2`

now in order to find the force we will use Newton's II law which is given as

`F = ma`

now by above formula we have

`F = (0.15)(60) = 9 N`