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.
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