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.

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aristocles aristocles · Answer 1 · 2019-05-24T04:15:55+02:00

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

[tex]a = \frac{dv}{dt}[/tex]

here we know that

[tex]v_i = 0[/tex]

[tex]v_f = 30 m/s[/tex]

[tex]\Delta t = 0.5 s[/tex]

now we will have

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

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

[tex]F = ma[/tex]

now by above formula we have

[tex]F = (0.15)(60) = 9 N[/tex]

Muscardinus Muscardinus · Answer 2 · 2019-11-04T11:40:51+01:00

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 :

[tex]F=ma[/tex]

[tex]F=m\times \dfrac{v-u}{t}[/tex]

[tex]F=0.15\times \dfrac{30}{0.5}[/tex]

F = 9 N

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