Answer:

Explanation:
In this process energy must be conserved. On the initial stage, there will be only gravitational potential energy, while on the final stage there will be only elastic potential energy, so they will be equal. We write this as:

Which is the same as:

So we can obtain our mass from there, and for our values:

-- Energy is never created or destroyed.
-- No energy is added to the pendulum during its swing.
-- If we ignore air resistance and friction, then no energy is lost
from the pendulum during its swing.
-- Therefore the total energy of the pendulum must be constant.
-- Any potential energy lost at any point in the swing
must show up as kinetic energy. If it had 484J at the top,
then it'll have 484J at the bottom.
Answer with Explanation:
We are given that


Spring constant,

a.Speed of ham before collision

Collision is inelastic
According to law of conservation of momentum



Kinetic energy of masses=Spring potential energy at maximum distance



Substitute the values

1 m=100 cm
b.Time period,

Answer: The comet's average distance from the sun is 17.6AU
Explanation:
From Kepler's 3rd Law, P^2=a^3
Where P is period in years
and a is length of semi-major axis or the average distance of the comet to the sun.
Given the orbital period to be 74 years
74^2 =a^3
5476 = a^3
Cube root of 5476 =a
17.626 = a
Approximately a= 17.6 AU