You may jump higher because the more the mass of the planet, the more gravitational force. There is less mass(and gravity) on Callisto so you wouldn’t be weighed down as much and can jump higher. Whereas on Jupiter there is more weight holding you down.
Answer:
= +3,394 103 m / s
Explanation:
We will solve this problem with the concept of the moment. Let's start by defining the system that is formed by the complete rocket before and after the explosions, bone with the two stages, for this system the moment is conserved.
The data they give is the mass of the first stage m1 = 2100 kg, the mass of the second stage m2 = 1160 kg and its final velocity v2f = +5940 m / s and the speed of the rocket before the explosion vo = +4300 m / s
The moment before the explosion
p₀ = (m₁ + m₂) v₀
After the explosion
pf = m₁
+ m₂ ![v_{2f}](https://tex.z-dn.net/?f=v_%7B2f%7D)
p₀ = [texpv_{f}[/tex]
(m₁ + m₂) v₀ = m₁
+ m₂
Let's calculate the final speed (v1f) of the first stage
= ((m₁ + m₂) v₀ - m₂
) / m₁
= ((2100 +1160) 4300 - 1160 5940) / 2100
= (14,018 10 6 - 6,890 106) / 2100
= 7,128 106/2100
= +3,394 103 m / s
come the same direction of the final stage, but more slowly
The moment of inertia of a uniform solid sphere is equal to 0.448
.
<u>Given the following data:</u>
Mass of sphere = 7 kg.
Radius of sphere = 0.4 meter.
<h3>How to calculate moment of inertia.</h3>
Mathematically, the moment of inertia of a solid sphere is given by this formula:
![I=\frac{2}{5} mr^2](https://tex.z-dn.net/?f=I%3D%5Cfrac%7B2%7D%7B5%7D%20mr%5E2)
<u>Where:</u>
- I is the moment of inertia.
Substituting the given parameters into the formula, we have;
![I=\frac{2}{5} \times 7 \times 0.4^2\\\\I=2.8 \times 0.16](https://tex.z-dn.net/?f=I%3D%5Cfrac%7B2%7D%7B5%7D%20%5Ctimes%207%20%5Ctimes%200.4%5E2%5C%5C%5C%5CI%3D2.8%20%5Ctimes%200.16)
I = 0.448
.
Read more on inertia here: brainly.com/question/3406242