Given Information:
Initial speed of rock = vi = 30 m/s
escape speed of the asteroid = ve = 24 m/s
Required Information:
final speed of rock = vf = ?
Answer:
vf = 18 m/s
Explanation:
As we know from the conservation of energy
KEf + Uf = KEi + Ui
Where KE is the kinetic energy and U is the potential energy
0 + 0 = ½mve² - GMm/R
When escape speed is used, KEf is zero due to vf being zero. Uf is zero because the object is very far away from mass M, therefore, the equation becomes
GMm/R = ½mve²
m cancels out
GM/R = ½ve²
GM/R = ½(24)²
GM/R = 288
KEf + Uf = KEi + Ui
½mvi² + 0 = ½vf² - GMm/R
m cancels out
½vi² = ½vf² - GM/R
Substitute the values
½(30)² = ½vf² - (288)
½vf² = 450 - 288
vf² = 2(162)
vf = √324
vf = 18 m/s
Therefore, the final speed of the rock is 18 m/s
Answer:
so gravity will be same as that of surface of earth
Explanation:
As we know that the acceleration due to gravity is given as
here we have
we know that for earth we have
now if the radius and mass is given as above
so gravity will be same as that of surface of earth
Electrons move from the sweater to the balloon. The sweater becomes positively charged, while the balloon becomes negatively charged.
Explanation:
- Sweater is a conductive material, which means it readily gives away its electrons.
- Consequently, when you rub a balloon on Sweater, this causes the electrons to move from the Sweater to the balloon's surface.
- The rubbed part of the balloon now acquired a negative charge. Objects made of rubber, such as the balloon, are basically electrical insulators, meaning that they resist electric charges flowing through them.
- This is why only part of the balloon may have a negative charge (where the wool rubbed it) and the rest may remain neutral after electrostatic process.
Density is varying through the world’s oceans. The density of ocean water is not uniform.
