Question

A baseball has a mass of 145 g. A bat exerts a force of 18,400 N on the ball. What is the acceleration of the ball?

A. 1.27 x 10^2 m/s^2
B. 2.67 x 10^3 m/s^2
C. 1.27 x 10^5 m/s^2
D. 2.67 x 10^6 m/s^2

Answer 1

`C. 1.27x10^5m/s^2`

Step-by-step explanation:

The information we have is:

mass:
`m=145g`

we must convert this amount to kilograms, because 1 kilogram equals 1000 grams, we divide the grams by 1000 to have the amount in kilograms

mass:
`m=145g/1000=0.145kg`

also we know the force:
`F=18,400N`

To know the acceleration of the object we make use of Newton's second law:

`F=ma`

and we clear for the acceleration
`a`

`a=(F)/(m)`

and we substitute the known values:

`a=(18,400N)/(0.145kg) =126,896.6m/s^2`

rounding and expressing this value for acceleration in a compact way:

`a=1.27x10^5m/s ^2` which is option C

Answer 2

The correct formula to use for the situation given above is: F = MA, where F is the applied force, M is the mass of the object and A is the acceleration.

From the details given in the question, we are told that:

F = 18, 400N

M = 145 g = 145 / 1000 = 0.145 kg

A = ?

From the equation F = MA

A = F / M

A = 18,400 / 0.145 = 126,896.55 = 1.27 *10^5.

Therefore, the correct option is C.