Question
A boy pushes on a cart using a force of 75N. The cart accelerates at 1.3 m/s2. What is the mass of the cart?(1 point) Responses 97.5 kg 97.5 kg 97.5 g 97.5 g 57.6 kg 57.6 kg 0.017 g
Answers
GPT-4o mini
To find the mass of the cart, we can use Newton's second law of motion, which states that \( F = ma \), where:
- \( F \) is the force applied,
- \( m \) is the mass,
- \( a \) is the acceleration.
Given:
- Force \( F = 75 \, \text{N} \)
- Acceleration \( a = 1.3 \, \text{m/s}^2 \)
We can rearrange the formula to solve for mass \( m \):
\[
m = \frac{F}{a}
\]
Substituting the known values into the formula:
\[
m = \frac{75 \, \text{N}}{1.3 \, \text{m/s}^2} \approx 57.69 \, \text{kg}
\]
Rounding this to a reasonable number gives us approximately \( 57.6 \, \text{kg} \).
The correct response is **57.6 kg**.
- \( F \) is the force applied,
- \( m \) is the mass,
- \( a \) is the acceleration.
Given:
- Force \( F = 75 \, \text{N} \)
- Acceleration \( a = 1.3 \, \text{m/s}^2 \)
We can rearrange the formula to solve for mass \( m \):
\[
m = \frac{F}{a}
\]
Substituting the known values into the formula:
\[
m = \frac{75 \, \text{N}}{1.3 \, \text{m/s}^2} \approx 57.69 \, \text{kg}
\]
Rounding this to a reasonable number gives us approximately \( 57.6 \, \text{kg} \).
The correct response is **57.6 kg**.