An object with the mass of 2300 g has a force of 6.2 Newton's applied to it. What is the resulting acceleration of the object?

Question

asked Jan 16, 2021 212k views

1 Answer

TheLQ · Answer 1 · 2021-01-20T02:01:55+0000

Answer:

$\boxed {\boxed {\sf a\approx 2.7 \ m/s^2}}$

Step-by-step explanation:

Force is equal to mass times acceleration.

F=m*a

By dividing both sides by m, we rearrange the formula for a (acceleration).

(F)/(m) =a

The force is 6.2 Newtons, but we can convert the units to make the problem easier later on.

The mass is 2300 grams, but we need to convert it to kilograms.

$F= 6.2 \ kg*m/s^2\\m=2.3 \ kg$

Substitute the values into the formula.

$a=(6.2 \ kg*m/s^2)/(2.3 \ kg)$

Divide. Note that the kilograms or "kg" will cancel each other out (this is why we converted the units).

$a=(6.2 \ m/s^2)/(2.3 \ )$

$a=2.69565217 \ m/s^2$

Round to the nearest tenth. The 9 in the hundredth place tells us to round up to 2.7

$a\approx 2.7 \ m/s^2$

The acceleration is about 2.7 meters per second squared.