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If a 187 lb object accelerates at [tex]32 \, \text{m/s}^2[/tex], what is the magnitude of the applied force that caused the acceleration?

Answer :

Final answer:

The magnitude of the applied force that caused the acceleration is approximately 2694.72 N.

Explanation:

Acceleration is defined as the rate of change of velocity over time. To calculate the magnitude of the force, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration.

In this case, we need to convert the weight of the object from pounds to kilograms. 1 pound is approximately 0.454 kilograms. So the object's weight is approximately 84.46 kg.

Now, we can calculate the magnitude of the force using the formula: force = mass × acceleration. Plugging in the values, we get force = 84.46 kg × 32 m/s² = 2694.72 N rounded to two decimal places.

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