Answer :
Final answer:
The acceleration that the same net force will cause on a 5.6 kg box is 15 m/s².
Explanation:
To determine the acceleration of a 5.6 kg box under the same net force, we can use Newton's second law, which states that force is equal to mass times acceleration (F = ma). Since we know the force applied to the 10 kg box and its acceleration, we can rearrange the equation to solve for the acceleration of the 5.6 kg box. We have:
F = ma
a = F/m
Using the values given, we have:
a1 = 8.4 m/s² (acceleration of 10 kg box)
m1 = 10 kg (mass of 10 kg box)
a2 = ? (acceleration of 5.6 kg box)
m2 = 5.6 kg (mass of 5.6 kg box)
Plugging in the values into the equation:
a2 = a1 * (m1 / m2)
a2 = 8.4 m/s² * (10 kg / 5.6 kg)
a2 = 15 m/s²
Therefore, the acceleration that the same net force will cause on a 5.6 kg box is 15 m/s².
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