Question

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

Answer 1

Answer:

Force, F = 9 N

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 :

$F=ma$

$F=m\times \dfrac{v-u}{t}$

$F=0.15\times \dfrac{30}{0.5}$

F = 9 N

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

Answer 2

Answer:

F = 9 N

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

$a = \frac{dv}{dt}$

here we know that

$v_i = 0$

$v_f = 30 m/s$

$\Delta t = 0.5 s$

now we will have

$a = \frac{30 - 0}{0.5} = 60 m/s^2$

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

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