The new Kinetic energy is 8000 J
Step-by-step explanation:
Step 1 :
Given,
The Kinetic energy of the fan = 2000J
We need to find new kinetic energy when the angular velocity is doubled.
Step 2 :
We have
KE = 
× m × v² = 2000
where m represents the mass and v represents the singular velocity
v = r ω where
r is radius of fan and ω is the angular velocity.
Given that the angular velocity is doubled singular velocity is also doubled. since the radius of the fan is the same in both cases we have
the new velocity = 2rω = 2v
So the KE = 
m(new velocity)² = m(2v)² = 4 ( mv²) = 4 (2000) = 8000 J
Step 3 :
Answer :
The new Kinetic energy is 8000 J
Answer:
Proof
Step-by-step explanation:
PROOF can be said to be logical mathematical argument in which every statement of fact is supported by a reason
due to the fact mathematical proof is an inferential argument for a mathematical statement because it help to shows that the assumptions stated logically guarantee and enables the conclusion.
Therefore Proofs can be said to be an examples of exhaustive deductive reasoning because they tend to often establish logical certainty which can be differentiated from empirical arguments which inturn help to establish reasonable and effectively expectation as well as employ logic expressed in mathematical symbols which is why proofs are often written in terms of rigorous informal logic
