5 marks questions:
13. Define universal law of gravitation with its mathematical
expression
14. a. Define Archimedes' principle
c. Write the three equations of motion
Answers
Answer:
13. The law of universal gravitation or the universal law of gravitation is related to the masses and the distance between any two bodies in the universe. It is directly proportional to the product of the masses between which it acts and the universal gravitational constant G. Formula used: F=Gm1m2r2
14. (a) a law stating that a body totally or partially immersed in a fluid is subject to an upward force equal in magnitude to the weight of fluid it displaces.
(c)The three equations of motion v = u + at; s = ut + (1/2) at2 and v2 = u2 + 2as
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Answer:
13)Newton's universal law of gravitation states that when two body are separated by a distance r, then both attract each other with a force which is directly proportional to the product of their masses (m
1
and m
2
) and inversely proportional to the square of distance between them (r). This force is termed as gravitational force.
Mathematically, gravitation force is given by F=
r
2
Gm
1
m
2
where G is gravitational constant.
14)Archimedes’ principle, physical law of buoyancy, discovered by the ancient Greek mathematician and inventor Archimedes, stating that any body completely or partially submerged in a fluid (gas or liquid) at rest is acted upon by an upward, or buoyant, force, the magnitude of which is equal to the weight of the fluid displaced by the body. The volume of displaced fluid is equivalent to the volume of an object fully immersed in a fluid or to that fraction of the volume below the surface for an object partially submerged in a liquid. The weight of the displaced portion of the fluid is equivalent to the magnitude of the buoyant force. The buoyant force on a body floating in a liquid or gas is also equivalent in magnitude to the weight of the floating object and is opposite in direction; the object neither rises nor sinks. For example, a ship that is launched sinks into the ocean until the weight of the water it displaces is just equal to its own weight. As the ship is loaded, it sinks deeper, displacing more water, and so the magnitude of the buoyant force continuously matches the weight of the ship and its cargo.
c)Definition of Equations of Motion
Equations of motion, in physics, are defined as equations that describe the behaviour of a physical system in terms of its motion as a function of time.
There are three equations of motion that can be used to derive components such as displacement(s), velocity (initial and final), time(t) and acceleration(a). The following are the three equation of motion:
First Equation of Motion : v=u+at
Second Equation of Motion : s=ut+12at2
Third Equation of Motion : v2=u2+2as
Explanation:
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