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?

Answer 1

Answer:

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

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 $a$

$a=\frac{F}{m}$

and we substitute the known values:

$a=\frac{18,400N}{0.145kg} =126,896.6m/s^2$

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.