Find the mass of each of these weights in kg

(a) 97 N

(b) 83 N

(c) 1.03 N

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To find the mass of each of these weights in kg, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the force acting on each weight is given in Newtons (N), and we need to calculate the mass in kilograms (kg).

We can use the formula:

Force (in N) = mass (in kg) × acceleration (in m/s^2)

Since the weights are not moving, the acceleration is equal to the acceleration due to gravity, which is approximately 9.8 m/s^2.

(a) To find the mass of a weight with a force of 97 N:
97 N = mass (in kg) × 9.8 m/s^2

Dividing both sides of the equation by 9.8 m/s^2:
mass (in kg) = 97 N / 9.8 m/s^2

Using a calculator, we can find:
mass (in kg) = 9.898 kg (rounded to three decimal places)

Therefore, the mass of the weight with a force of 97 N is approximately 9.898 kg.

(b) To find the mass of a weight with a force of 83 N:
83 N = mass (in kg) × 9.8 m/s^2

Dividing both sides of the equation by 9.8 m/s^2:
mass (in kg) = 83 N / 9.8 m/s^2

Using a calculator, we can find:
mass (in kg) = 8.469 kg (rounded to three decimal places)

Therefore, the mass of the weight with a force of 83 N is approximately 8.469 kg.

(c) To find the mass of a weight with a force of 1.03 N:
1.03 N = mass (in kg) × 9.8 m/s^2

Dividing both sides of the equation by 9.8 m/s^2:
mass (in kg) = 1.03 N / 9.8 m/s^2

Using a calculator, we can find:
mass (in kg) = 0.105 kg (rounded to three decimal places)

Therefore, the mass of the weight with a force of 1.03 N is approximately 0.105 kg.