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Answer :
Final answer:
The mass of the box is approximately 30 kg.
Explanation:
To find the mass of the box, we can use the formula:
F applied = μkN
Where:
- F applied is the applied force (116 N)
- μk is the kinetic friction coefficient (0.39)
- N is the normal force
To calculate the normal force:
N = mg,
Where:
- m is the mass of the box (unknown)
- g is the acceleration due to gravity (9.8 m/s²)
By combining these equations, we have:
116 N = 0.39 x (m x 9.8 m/s²)
Simplifying the equation:
116 N = 3.822 m kg/s²
Solving for mass:
m = 116 N / (3.822 m/s²) = 30.33 kg
Rounding the answer to the nearest whole number, the mass of the box is approximately 30 kg.
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