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Let's break down the problem step by step to determine the force of gravity acting on an object with a mass of 20 kg on Earth.
1. Understanding the Problem:
- We have an object with a mass of 20 kg.
- We need to find the force of gravity acting on this object on Earth.
2. Concepts Involved:
- The force of gravity can be calculated using the formula:
[tex]\[ F = m \times g \][/tex]
where:
- [tex]\( F \)[/tex] is the force of gravity,
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( g \)[/tex] is the acceleration due to gravity on Earth.
3. Given Values:
- Mass ([tex]\( m \)[/tex]) = 20 kg
- Acceleration due to gravity ([tex]\( g \)[/tex]) = 9.8 m/s²
4. Calculating the Force of Gravity:
- Substitute the given values into the formula:
[tex]\[ F = 20 \, \text{kg} \times 9.8 \, \text{m/s}^2 \][/tex]
- Perform the multiplication:
[tex]\[ F = 196 \, \text{N} \][/tex]
5. Conclusion:
- The force of gravity acting on an object with a mass of 20 kg on Earth is 196 N.
Therefore, the correct answer from the given options is:
C. 196 N
1. Understanding the Problem:
- We have an object with a mass of 20 kg.
- We need to find the force of gravity acting on this object on Earth.
2. Concepts Involved:
- The force of gravity can be calculated using the formula:
[tex]\[ F = m \times g \][/tex]
where:
- [tex]\( F \)[/tex] is the force of gravity,
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( g \)[/tex] is the acceleration due to gravity on Earth.
3. Given Values:
- Mass ([tex]\( m \)[/tex]) = 20 kg
- Acceleration due to gravity ([tex]\( g \)[/tex]) = 9.8 m/s²
4. Calculating the Force of Gravity:
- Substitute the given values into the formula:
[tex]\[ F = 20 \, \text{kg} \times 9.8 \, \text{m/s}^2 \][/tex]
- Perform the multiplication:
[tex]\[ F = 196 \, \text{N} \][/tex]
5. Conclusion:
- The force of gravity acting on an object with a mass of 20 kg on Earth is 196 N.
Therefore, the correct answer from the given options is:
C. 196 N
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