To calculate the force applied to an object, you can use Newton's second law of motion, which states:
\[ F = m \cdot a \]
Where:
- \( F \) is the force applied (in Newtons, N),
- \( m \) is the mass (in kilograms, kg),
- \( a \) is the acceleration (in meters per second squared, m/s²).
Let's calculate the force for each case:
-
For the mass of 11 kg and acceleration of 4.863 m/s²: \[ F = 11 , \text{kg} \cdot 4.863 , \text{m/s}^2 = 53.493 , \text{N} \approx 53.5 , \text{N} \]
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For the mass of 7.5 kg and acceleration of 7.133 m/s²: \[ F = 7.5 , \text{kg} \cdot 7.133 , \text{m/s}^2 = 53.4975 , \text{N} \approx 53.5 , \text{N} \]
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For the mass of 17.1 kg and acceleration of 3.129 m/s²: \[ F = 17.1 , \text{kg} \cdot 3.129 , \text{m/s}^2 = 53.4669 , \text{N} \approx 53.5 , \text{N} \]
So, we have the forces calculated as follows:
- For 11 kg and 4.863 m/s²: 53.5 N
- For 7.5 kg and 7.133 m/s²: 53.5 N
- For 17.1 kg and 3.129 m/s²: 53.5 N
The only value that matches from the options you provided based on mass and respective acceleration is 53.5 N.