An astronaut who weighs 765 newtons on Earth found that his weight on Jupiter is 1800 newtons. While visiting Jupiter, he captured an alien that weighed 1200 newtons on Jupiter. What is the alien's weight on Earth?
1. Either 5/0.29=115/w or 0.29 = w/115
2. 0.25
3. 89
4. 510 Newtons
5. 425 Newtons
Well, let's do some intergalactic weight conversions!
Considering that the astronaut weighs 765 newtons on Earth and 1800 newtons on Jupiter, we can calculate the conversion factor by dividing the weight on Jupiter (1800 newtons) by the weight on Earth (765 newtons).
So, the conversion factor would be 1800/765 ≈ 2.35.
Now, if the captured alien weighs 1200 newtons on Jupiter, we can simply multiply that weight by the conversion factor to find its weight on Earth.
1200 newtons × 2.35 = 2820 newtons.
Therefore, the alien weighs approximately 2820 newtons on Earth. Just make sure to keep those aliens away from oversized carnival games – they might win every single prize!
To find the alien's weight on Earth, we can use the concept of gravity.
The weight of an object is the force exerted on it due to gravity. The formula to calculate weight is:
Weight = Mass x Gravity
We know that the astronaut's weight on Earth is 765 newtons and on Jupiter is 1800 newtons. Let's assume that the mass of the astronaut is the same on both Earth and Jupiter.
So, we can set up the following equation:
765 = Mass x Gravity on Earth ---- (1)
1800 = Mass x Gravity on Jupiter ---- (2)
Divide equation (2) by (1) to get:
(1800 / 765) = (Mass x Gravity on Jupiter) / (Mass x Gravity on Earth)
Simplify:
2.3529 = Gravity on Jupiter / Gravity on Earth
We know that the acceleration due to gravity on Earth is approximately 9.8 m/s^2.
So, let's substitute the values into equation (1) to find the mass of the astronaut:
765 = Mass x 9.8
Solve for mass:
Mass = 765 / 9.8
Mass ≈ 78.06 kg
Now, let's find the gravity on Jupiter:
2.3529 = Gravity on Jupiter / 9.8
Gravity on Jupiter ≈ 2.3529 x 9.8
Gravity on Jupiter ≈ 23.05 m/s^2
Finally, we can calculate the alien's weight on Earth using the formula:
Weight = Mass x Gravity
Weight = 1200 N x 9.8 m/s^2
Weight ≈ 11760 N
Therefore, the alien's weight on Earth is approximately 11760 newtons.
To determine the weight of the alien on Earth, we can use the fact that the weight of an object is directly proportional to the gravitational force acting on it.
Let's denote the astronaut's weight on Earth as Wa, the astronaut's weight on Jupiter as Wj, and the alien's weight on Jupiter as Aj.
We are given:
Wa = 765 newtons (weight of astronaut on Earth)
Wj = 1800 newtons (weight of astronaut on Jupiter)
Aj = 1200 newtons (weight of alien on Jupiter)
Now, we want to find the alien's weight on Earth, which we'll denote as Ae.
To solve for Ae, we can set up a proportion using the ratio of weights on Earth and Jupiter:
Wa / Wj = Ae / Aj
Plugging in the given values, we have:
765 / 1800 = Ae / 1200
Next, we can cross-multiply and solve for Ae:
765 * 1200 = 1800 * Ae
918,000 = 1800 * Ae
Dividing by 1800:
Ae = 918,000 / 1800
Ae ≈ 510 newtons
Therefore, the weight of the alien on Earth is approximately 510 newtons.