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A force is applied to a 12 kg box. The force is applied parallel to the motion of the box. Determine the force acting on the box if it moves 22 meters and increases the box’s speed from 10 m/s to 25 m/s.

Respuesta :

Lanuel

Answer:

Force = 143.16 Newton

Explanation:

Given the following data;

Distance, S = 22 m

Initial velocity, U = 10 m/s

Final velocity, V = 25 m/s

Mass = 12 kg

To find the force acting on the box;

First of all, we would determine the acceleration of the box using the third equation of motion;

V² = U² + 2aS

25² = 10² + 2*a*22

625 = 100 + 44a

625 - 100 = 44a

525 = 44a

Acceleration, a = 525/44

Acceleration, a = 11.93 m/s²

Next, we find the force;

Force = mass * acceleration

Force = 12 * 11.93

Force = 143.16 Newton

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