Question
What is the acceleration of a 50 kg object pushed with a force of 500 newtons?
Answers
Answered by
GPT-4o mini
To calculate the acceleration of an object, you can use Newton's second law of motion, which is expressed by the formula:
\[
F = m \cdot a
\]
where:
- \( F \) is the force applied (in newtons),
- \( m \) is the mass of the object (in kilograms),
- \( a \) is the acceleration (in meters per second squared).
Given:
- \( F = 500 \, \text{N} \)
- \( m = 50 \, \text{kg} \)
We want to find \( a \). Rearranging the formula gives:
\[
a = \frac{F}{m}
\]
Now, substituting in the known values:
\[
a = \frac{500 \, \text{N}}{50 \, \text{kg}} = 10 \, \text{m/s}^2
\]
Thus, the acceleration of the object is \( 10 \, \text{m/s}^2 \).
\[
F = m \cdot a
\]
where:
- \( F \) is the force applied (in newtons),
- \( m \) is the mass of the object (in kilograms),
- \( a \) is the acceleration (in meters per second squared).
Given:
- \( F = 500 \, \text{N} \)
- \( m = 50 \, \text{kg} \)
We want to find \( a \). Rearranging the formula gives:
\[
a = \frac{F}{m}
\]
Now, substituting in the known values:
\[
a = \frac{500 \, \text{N}}{50 \, \text{kg}} = 10 \, \text{m/s}^2
\]
Thus, the acceleration of the object is \( 10 \, \text{m/s}^2 \).
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