High School

Find the acceleration produced by a total force of 165 N on a mass of 4.50 kg. Express your answer in [tex]m/s^2[/tex].

Answer :

The acceleration produced by a total force of 165 N on a mass of 4.50 kg is 36.67 m/s²

The acceleration produced by a force can be determined using Newton's second law of motion, which states that the acceleration (a) of an object is directly proportional to the net force (F) acting on it and inversely proportional to its mass (m). Mathematically, it can be expressed as:

a = F / m

Given that the total force (F) is 165 N and the mass (m) is 4.50 kg, we can substitute these values into the equation to calculate the acceleration:

a = 165 N / 4.50 kg

a ≈ 36.67 m/s²

Therefore, the acceleration produced by the total force of 165 N on a mass of 4.50 kg is approximately 36.67 m/s².

This means that for every kilogram of mass, the object will experience an acceleration of 36.67 m/s² in the direction of the net force. Acceleration measures the rate of change of velocity, indicating how quickly an object's velocity is changing under the influence of the applied force. In this case, the larger the force or the smaller the mass, the greater the acceleration will be.

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