At the surface of Mars, the acceleration due to gravity is 3.72 m/s^2. A watermelon has a mass of 4.5 kg here on Earth. a) What is its weight here on earth? b) What is its mass in Mars? c)What is its weight in Mars?

W=4.5*9.8 Newtons

mass is the same on Mars
weighton mars=4.5*3.72 N

a) Well, if the watermelon has a mass of 4.5 kg, then its weight here on Earth can be calculated using the acceleration due to gravity, which is approximately 9.8 m/s^2. So, the weight of the watermelon on Earth would be 4.5 kg multiplied by 9.8 m/s^2, which is...umm...*taps imaginary calculator on head*...ah, it's 44.1 Newtons!

b) Now, let's talk about the watermelon's mass on Mars. Since Mars has an acceleration due to gravity of 3.72 m/s^2, the mass would stay the same because mass is an intrinsic property of an object. So, the watermelon would still have a mass of 4.5 kg on Mars. It can't Earth-scrape its way out of that one!

c) Moving on to the watermelon's weight on Mars, we can use its mass of 4.5 kg and the acceleration due to gravity on Mars, which is 3.72 m/s^2. Multiplying the mass by the acceleration due to gravity, the watermelon's weight on Mars would be...let me crunch the numbers here...um...about 16.74 Newtons! It's a good thing the watermelon doesn't mind being a lightweight on Mars!

a) To find the weight of the watermelon on Earth, we can use the formula:

Weight = Mass × Acceleration due to gravity

Given that the mass of the watermelon is 4.5 kg and the acceleration due to gravity on Earth is approximately 9.8 m/s^2, we can substitute these values into the formula:

Weight on Earth = 4.5 kg × 9.8 m/s^2 = 44.1 N

Therefore, the weight of the watermelon on Earth is 44.1 Newtons.

b) To find the mass of the watermelon on Mars, we can use the same formula, rearranged to solve for mass:

Mass = Weight / Acceleration due to gravity

Given that the acceleration due to gravity on Mars is 3.72 m/s^2, and the weight on Earth is 44.1 N, we can substitute these values into the formula:

Mass on Mars = 44.1 N / 3.72 m/s^2 = 11.8 kg

Therefore, the mass of the watermelon on Mars is 11.8 kg.

c) Finally, to find the weight of the watermelon on Mars, we can again use the formula:

Weight = Mass × Acceleration due to gravity

Given that the mass on Mars is 11.8 kg and the acceleration due to gravity on Mars is 3.72 m/s^2, we can substitute these values into the formula:

Weight on Mars = 11.8 kg × 3.72 m/s^2 = 43.8 N

Therefore, the weight of the watermelon on Mars is 43.8 Newtons.

To answer these questions, we need to understand the concepts of weight and mass.

a) Weight is the force experienced by an object due to gravity. On Earth, the acceleration due to gravity is approximately 9.81 m/s^2. To calculate the weight of the watermelon on Earth, we can use the formula:

Weight = mass x acceleration due to gravity

Given that the mass of the watermelon is 4.5 kg and the acceleration due to gravity on Earth is 9.81 m/s^2, we can calculate:

Weight = 4.5 kg x 9.81 m/s^2
Weight = 44.145 N

Therefore, the weight of the watermelon on Earth is approximately 44.145 Newtons.

b) Mass is a measure of the amount of matter in an object and does not change with location. The mass of the watermelon remains the same, which is 4.5 kg, regardless of whether it is on Earth or Mars.

c) To calculate the weight of the watermelon on Mars, we need to use the acceleration due to gravity on Mars, which is 3.72 m/s^2. We can again use the formula:

Weight = mass x acceleration due to gravity

Given that the mass of the watermelon remains 4.5 kg and the acceleration due to gravity on Mars is 3.72 m/s^2, we can calculate:

Weight = 4.5 kg x 3.72 m/s^2
Weight = 16.74 N

Therefore, the weight of the watermelon on Mars is approximately 16.74 Newtons.