Question

What is the weight in newtons of an object that has a mass of (a) 17.5 kg, (b) 0.75 g and (c) 7.5mg?

Answer 1

To calculate the weight of an object in Newtons, we can use the formula:

Weight = Mass * Gravitational Acceleration

The gravitational acceleration on Earth is approximately 9.8 m/s².

(a) Mass = 17.5 kg

Weight = 17.5 kg * 9.8 m/s² ≈ 171.5 N

Therefore, the weight of the object with a mass of 17.5 kg is approximately 171.5 Newtons.

(b) Mass = 0.75 g = 0.75 * 10⁻³ kg

Weight = 0.75 * 10⁻³ kg * 9.8 m/s² ≈ 0.00735 N

Therefore, the weight of the object with a mass of 0.75 g is approximately 0.00735 Newtons.

(c) Mass = 7.5 mg = 7.5 * 10⁻³ g = 7.5 * 10⁻⁶ kg

Weight = 7.5 * 10⁻⁶ kg * 9.8 m/s² ≈ 7.35 * 10⁻⁵ N

Therefore, the weight of the object with a mass of 7.5 mg is approximately 7.35 * 10⁻⁵ Newtons.

Answer 2

The weights in newtons for the given masses on Earth are (a) 171.675 N for 17.5 kg, (b) 0.0073575 N for 0.75 g, and (c) 0.000073575 N for 7.5 mg, using the gravitational field strength of 9.81 m/s².

Step-by-step explanation:

The weight of an object can be calculated by multiplying its mass by the gravitational field strength. On Earth, the standard gravitational field strength is approximately 9.81 m/s². Here's how you calculate the weight for each of the given masses:

• (a) For a mass of 17.5 kg, the weight in newtons would be calculated as 17.5 kg × 9.81 m/s², which equals 171.675 N.
• (b) To convert the mass from grams to kilograms for 0.75 g, divide by 1000 to get 0.00075 kg. Then, multiply by 9.81 m/s² to find the weight: 0.00075 kg × 9.81 m/s² equals 0.0073575 N.
• (c) Likewise, convert 7.5 mg to kilograms by dividing by 1,000,000, giving 0.0000075 kg. Then, 0.0000075 kg × 9.81 m/s² equals 0.000073575 N.

It is important to make sure that the mass is converted to kilograms as the newton is based on kg*m/s².