Question

What does a 1kg pineapple weigh on Mars if 3397000m is its radius, and 6.42x10^23 kg is its mass?

Answer 1

To calculate the weight of a 1 kg pineapple on Mars, you can use Newton's law of gravitation. The weight of a 1 kg pineapple on Mars is 3.713 N.

Step-by-step explanation:

To calculate the weight of a 1 kg pineapple on Mars, you can use Newton's law of gravitation. The formula for gravitational force (\(F\)) is given by:

F =
`\frac{{G \cdot m_1 \cdot m_2}}{{r^2}}`

Where:

- F is the gravitational force,

- G is the gravitational constant (6.674 × 10⁻¹¹ N m²/kg²),

- m₁ and m₂ are the masses of the two objects,

- ris the separation between the centers of the masses.

Given the mass of the pineapple (m₂ = 1 kg), the mass of Mars (m₁ = 6.42 × 10²³ kg), and the radius of Mars (r = 3,397,000 m}), we can substitute these values into the formula. The weight of the pineapple on Mars will be the gravitational force acting on it.

F =
`\frac{{(6.674 * 10^(-11) \, \text{N m}^2/\text{kg}^2) \cdot (1 \, \text{kg}) \cdot (6.42 * 10^(23) \, \text{kg})}}{{(3,397,000 \, \text{m})^2}}`

F = 3.713 N

The weight of the 1 kg pineapple on Mars is 3.713 N.