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morpeh [17]
2 years ago
12

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?

Chemistry
1 answer:
Triss [41]2 years ago
6 0

Answer:

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

Explanation:

Force is equal to mass times acceleration.

F=m*a

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

\frac{F}{m} =a

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

  • A Newton is equal to 1 kg*m/s², so 6.2 N is equal to 6.2 kg*m/s².

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

  • To convert grams to kilograms, divide by 1,000
  • 2300 g/1000= 2.3 kg

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

Substitute the values into the formula.

a=\frac{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=\frac{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 <u>2.7 meters per second squared.</u>

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