What are the three formulas (one formula rearranged three ways) which describe the relationship
1 answer:
Equation of Newton's second law of motion:
Explanation:
The equation that gives the relationship between force, mass and acceleration is Newton's second law of motion:
where:
F is the net force acting on an object
m is the mass of the object
a is the acceleration of the object
This equation basically tells that whenever there is a net non-zero force acting on an object, the object accelerates.
The equation can be re-arranged in three ways:
(1) (standard formula)
(2) Then we can re-arrange by making a the subject, and we get
(3) Then we can further re-arrange the make the mass the subject, and we get
Learn more about Newton's second law:
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Answer:
The volume of water displaced by the raft is 0.233 m³
Explanation:
The question relates to Archimedes' principle which states that the buoyant force experienced by an object immersed in a fluid is equal to the weight of (the force of gravity on) the displaced fluid
The given parameters are;
The combined mass of the person and the raft, m = 233 kg
The liquid on which the raft is located = Water
The density of water, = 1000 kg/m³
Weight = Mass, m × g
Where;
m = The mass of the object
g = The acceleration due to gravity = 9.8 m/s²
Given that the raft is on the surface of the water (floating), the buoyant force is equal to the combined weight of the person and the raft = 233 kg
The combined weight of the person and the raft, = 233 kg × 9.8 m/s² = 2,283.4 N
Therefore;
The buoyant force = 2,283.4 N = The weight of the water displaced
The mass of the water displaced, , = 2,283.4 N/(9.8 m/s²) = 233 kg
Density = Mass/Volume
The volume of water displaced by the raft = The mass of the water displaced/(The density of the water) = 233 kg/(1,000 kg/m³) = 0.233 m³.