Answer:
Compression in the spring, x = 0.20 m
Explanation:
Given that,
Spring constant of the spring, k = 490 N/m
Mass of the block, m = 5 kg
To find,
Compression in the spring.
Solution,
Since the block is suddenly dropped on the spring gravitational potential energy of block converts into elastic potential energy of spring. Its expression is given by :

Where
x is the compression in the spring


x = 0.20 m
So, the compression in the spring due to block is 0.20 meters.
For an object that travels at a fixed speed along a circular path, the acceleration of the object is LARGER IN MAGNITUDE THE SMALLER THE RADIUS OF CIRCLE.
Answer: 
Explanation:
If we have an initial amount of a radioactive material or substance, which is
, and we also are told this amount decays
each year, this means each year
of the substance remains:

<u />
<u>To understand it better:</u>
Year 1: 
Year 2: 
Year 3: 
and so on until year
:
Year t: 
Therefore, the function tha best describes this radiation decay situation is:

Gravity is the attraction between two objects that have mass. The amount of gravity is directly proportional to the amount of mass of the objects and inversely proportional to the square of the distance between the objects. Gravity is a force that increases the velocity of falling objects - they accelerate.