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An object experiences a net force of 8.8 N. This applied force results in the object accelerating at 240  cm/s2 in the direction of the net force. What is the mass of the object in kg, correct to one decimal place?

Question

An object experiences a net force of 8.8 N. This applied force results in the object accelerating at 240  cm/s2 in the direction of the net force. What is the mass of the object in kg, correct to one decimal place?

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Solution

To find the mass of the object, we can use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration (F = ma).

Given: Force (F) = 8.8 N Acceleration (a) = 240 cm/s²

First, we need to convert the acceleration from cm/s² to m/s² because the standard unit of acceleration in the International System of Units (SI) is meters per second squared (m/s²).

1 m = 100 cm So, 240 cm/s² = 240/100 m/s² = 2.4 m/s²

Now we can substitute the values of F and a into the equation:

8.8 N = m * 2.4 m/s²

To solve for m (mass), we divide both sides of the equation by the acceleration:

m = 8.8 N / 2.4 m/s² = 3.67 kg

Rounded to one decimal place, the mass of the object is 3.7 kg.

This problem has been solved

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