Answer:

Explanation:
Using Kepler's third law, we can relate the orbital periods of the planets and their average distances from the Sun, as follows:

Where
and
are the orbital periods of Mercury and Earth respectively. We have
and
. Replacing this and solving for

Explanation:
By Hooke's Law, Fe = kx.
Since Fe = 1.6N and x = 9.2cm - 8cm = 1.2cm,
k = Fe/x = 1.6N/1.2cm = 1.33N/cm.
Answer:
423m/s
Explanation:
Suppose after the impact, the bullet-block system swings upward a vertical distance of 0.4 m. That's means their kinetic energy is converted to potential energy:


where m is the total mass and h is the vertical distance traveled, v is the velocity right after the impact at, which we can solve by divide both sides my m
Let g = 9.81 m/s2



According the law of momentum conservation, momentum before and after the impact must be the same

where
are the mass and velocity of the bullet before the impact, respectively.
are the mass and velocity of the block before the impact, respectively, which is 0 because the block was stationary before the impact


