What is the weight in newtons of an object that
has a mass of (a) 8 kg, (b) 0.04 kg, and (c) 760 Mg?

The weight \( W \) of an object is calculated using the formula:

\[
W = mg
\]

where:
- \( m \) is the mass of the object,
- \( g \) is the acceleration due to gravity (approximately \( 9.8 \, \text{m/s}^2 \) on Earth).

Let's compute the weight for each of the given masses:

### (a) Mass \( m = 8 \, \text{kg} \):
\[
W = 8 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 78.4 \, \text{N}
\]

### (b) Mass \( m = 0.04 \, \text{kg} \):
\[
W = 0.04 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 0.392 \, \text{N}
\]

### (c) Mass \( m = 760 \, \text{Mg} \) (1 Megagram (Mg) = 1000 kilograms):
\[
W = 760 \, \text{Mg} \times 1000 \, \text{kg/Mg} \times 9.8 \, \text{m/s}^2 = 7,448,000 \, \text{N}
\]

Thus, the weights are:
- (a) 78.4 N,
- (b) 0.392 N,
- (c) 7,448,000 N.

Would you like more details or have any questions?

Here are 5 related questions:
1. How does the value of gravity on Earth affect the weight of objects?
2. What would be the weight of the 8 kg object on the Moon, where gravity is \( 1.62 \, \text{m/s}^2 \)?
3. How do you convert mass from kilograms to newtons in different gravitational fields?
4. Why is the weight of an object different from its mass?
5. What is the difference between megagrams (Mg) and metric tons?

**Tip:** Weight is a force, which means it depends on the gravitational pull acting on an object. The same mass will weigh differently on different planets!

What is the weight in newtons of an object that has a mass of (a) 8 kg, (b) 0.04 kg, and (c) 760 Mg?

Learn how to calculate the weight in newtons for objects with masses 8 kg, 0.04 kg, and 760 Mg using the formula W = mg. This problem covers key concepts in physics, including Newton's second law and gravitational force. Suitable for students in Grades 9-12.

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