Answer :
To determine the force of gravity on Planet X, we start with the information given:
1. The mass of the object is 15 kg.
2. The object weighs 126 N on Planet X.
The weight of an object is the force due to gravity acting on it, and it can be calculated using the formula:
[tex]\[ \text{Weight} = \text{Mass} \times \text{Gravity} \][/tex]
Here, we want to find the gravity on Planet X. We can rearrange the formula to solve for gravity:
[tex]\[ \text{Gravity} = \frac{\text{Weight}}{\text{Mass}} \][/tex]
Now, let's substitute the values we have:
- Weight on Planet X = 126 N
- Mass of the object = 15 kg
[tex]\[ \text{Gravity} = \frac{126 \, \text{N}}{15 \, \text{kg}} \][/tex]
By dividing 126 N by 15 kg, we get:
[tex]\[ \text{Gravity} = 8.4 \, \text{m/s}^2 \][/tex]
Therefore, the force of gravity on Planet X is [tex]\( 8.4 \, \text{m/s}^2 \)[/tex].
1. The mass of the object is 15 kg.
2. The object weighs 126 N on Planet X.
The weight of an object is the force due to gravity acting on it, and it can be calculated using the formula:
[tex]\[ \text{Weight} = \text{Mass} \times \text{Gravity} \][/tex]
Here, we want to find the gravity on Planet X. We can rearrange the formula to solve for gravity:
[tex]\[ \text{Gravity} = \frac{\text{Weight}}{\text{Mass}} \][/tex]
Now, let's substitute the values we have:
- Weight on Planet X = 126 N
- Mass of the object = 15 kg
[tex]\[ \text{Gravity} = \frac{126 \, \text{N}}{15 \, \text{kg}} \][/tex]
By dividing 126 N by 15 kg, we get:
[tex]\[ \text{Gravity} = 8.4 \, \text{m/s}^2 \][/tex]
Therefore, the force of gravity on Planet X is [tex]\( 8.4 \, \text{m/s}^2 \)[/tex].
