The gravitational force between two objects can be calculated using the formula:
\[ F = m \cdot g \]
where \( F \) is the gravitational force, \( m \) is the mass of the object, and \( g \) is the acceleration due to gravity, which is approximately \( 9.8 , \text{m/s}^2 \) on the surface of the Earth.
For the car, we have:
- Mass \( m = 1500 , \text{kg} \)
- Gravitational force \( F = 1500 , \text{kg} \times g = 14,000 , \text{N} \) (given)
For the hippopotamus:
- Mass \( m = 3000 , \text{kg} \)
Now we can calculate the gravitational force:
\[ F = 3000 , \text{kg} \times g \]
Since \( g \) will provide the same gravitational acceleration, we can determine that:
Since the force acting on the car is \( 14,000 , \text{N} \) for \( 1500 , \text{kg} \), we can find the force for a \( 3000 , \text{kg} \) object using a direct proportion:
The force scales with mass, so:
\[ \text{New force} = \left(\frac{3000 , \text{kg}}{1500 , \text{kg}}\right) \times 14,000 , \text{N} \] \[ = 2 \times 14,000 , \text{N} \] \[ = 28,000 , \text{N} \]
Therefore, the gravitational force acting between the Earth and a 3000-kg hippopotamus is 28,000 Newtons.