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15 April, 04:45

A car with a mass of 103 kilograms traveling at a speed of 50 kilometers/hour (13.9 meters/second) collides with a stationary car. The duration of the collision is 1 second. After the collision the speed of the moving car is reduced to 5 kilometers/hour (1.4 meters/second). What is the value of the force involved in the collision?

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  1. 15 April, 04:58
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    Force, according to Newton's second law of motion, is calculated through the equation,

    F = m x a

    where F is force, m is mass, and a is acceleration.

    We are already given with the mass of 103 kg, we therefore need to solve for the acceleration.

    acceleration = (13.9 m/s - 1.4 m/s) / 1 s = 12.5 m/s²

    Then, we substitute this value to the equation above.

    F = (103 kg) x (12.5 m/s²)

    F = 1287.5 N

    Thus, the force involved in the collision is approximately 1287.5 N.
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