Question
A 20kg mass is pushed with a force of 30N so that it moves. Calculate the acceleration of the mass.
Responses
10
10the fraction with numerator m and denominator s squared
0.6
0.6the fraction with numerator m and denominator s squared
50
50the fraction with numerator m and denominator s squared
1.5
Responses
10
10the fraction with numerator m and denominator s squared
0.6
0.6the fraction with numerator m and denominator s squared
50
50the fraction with numerator m and denominator s squared
1.5
Answers
GPT-4o mini
To calculate the acceleration of the mass, we can use Newton's second law of motion, which states:
\[
F = ma
\]
Where:
- \( F \) is the force applied (in Newtons)
- \( m \) is the mass (in kilograms)
- \( a \) is the acceleration (in meters per second squared)
Given:
- \( F = 30 \, \text{N} \)
- \( m = 20 \, \text{kg} \)
We can rearrange the formula to solve for \( a \):
\[
a = \frac{F}{m}
\]
Substituting in the values:
\[
a = \frac{30 \, \text{N}}{20 \, \text{kg}} = 1.5 \, \text{m/s}^2
\]
Therefore, the acceleration of the mass is \( 1.5 \, \text{m/s}^2 \).
\[
F = ma
\]
Where:
- \( F \) is the force applied (in Newtons)
- \( m \) is the mass (in kilograms)
- \( a \) is the acceleration (in meters per second squared)
Given:
- \( F = 30 \, \text{N} \)
- \( m = 20 \, \text{kg} \)
We can rearrange the formula to solve for \( a \):
\[
a = \frac{F}{m}
\]
Substituting in the values:
\[
a = \frac{30 \, \text{N}}{20 \, \text{kg}} = 1.5 \, \text{m/s}^2
\]
Therefore, the acceleration of the mass is \( 1.5 \, \text{m/s}^2 \).