The weight of a boy on the surface of the earth is 30N where g=10N/kg determine weight of the same body on the moon where g=1•67N/kg??

To determine the weight of the boy on the moon, we can use the formula:

Weight = mass x gravity

Given that the weight of the boy on Earth is 30N and the acceleration due to gravity on Earth is 10N/kg, we can calculate the mass of the boy:

Weight = mass x gravity
30N = mass x 10N/kg
mass = 30N / 10N/kg
mass = 3 kg

Now, we can calculate the weight of the boy on the moon using the mass we just calculated and the acceleration due to gravity on the moon (1.67N/kg):

Weight = mass x gravity
Weight = 3kg x 1.67N/kg
Weight = 5.01N

Therefore, the weight of the boy on the moon would be 5.01N.

Given:

- Weight on Earth (W_earth) = 30 N
- Acceleration due to gravity on Earth (g_earth) = 10 m/s²
- Acceleration due to gravity on the moon (g_moon) = 1.67 m/s²

To find:

- Weight on the moon (W_moon)

Formula:

Weight = mass × acceleration due to gravity

Solution:

Step 1: Calculate the mass of the boy

We can rearrange the formula to solve for mass:

```
Mass (m) = Weight / Acceleration due to gravity
```

```
m = W_earth / g_earth
```

```
m = 30 N / 10 m/s²
```

```
m = 3 kg
```

Step 2: Calculate the weight on the moon

Now that we know the mass, we can calculate the weight on the moon using the formula:

```
W_moon = m × g_moon
```

```
W_moon = 3 kg × 1.67 m/s²
```

```
W_moon = 5 N
```

Therefore, the weight of the same body on the moon would be 5 N.