Ek = 6KJ.
In physics, the kinetic energy of a body or object is the one that owns due to its movement and is given by the equation
, where m is the mass of the object in kilograms and v is the velocity in m/s.
An object that it has a mass of 30 kilograms and moves with a velocity of 20m/s, its kinetic energy is given by:

The formula we can use in
this case would be:
v = sqrt (T / (m / l))
Where,
v = is the velocity of the
transverse wave = unknown (?)
T = is the tension on the
rope = 500 N
m = is the mass of the
rope = 60.0 g = 0.06 kg
l = is the
length of the rope = 2.00 m
Substituting the given values into the equation to search
for the speed v:
v = sqrt (500 N/(0.06 kg /2 m))
v = sqrt (500 * 2 / 0.06)
v = sqrt (16,666.67)
<span>v = 129.10 m/s</span>
Answer:
The particle comes to rest before reaching the position x=4m.
Explanation:
When the object is at x=0m, all of its energy is kinetic energy. Using the equation for kinetic energy yields KE=1/2mv^2=(12)(2)(3)^2=9J. Using the given equation for potential energy when the object is at x=4m yields U=4x^2=4(4)^2=64J. Since the system only has 9J of energy, the object comes to rest before reaching x=4m.
Answer:
Part a)

Part b)

Explanation:
Part a)
As we know that the period of revolution of the planet is given by

now we know that

T = 6.3 days

now we have


Part b)
As we know that mass of sun is given as

now we have

