It is known that the kinetic energy, KE, of a moving object is directly proportional to its mass, m, and the square of its speed, v. That is: KE = m", КЕ where the mass m is in Kg, the velocity v is in m/s, and the KE is in joule. If a rock of mass 500 Kg is moving such that the KE decreases at a rate of 1895 joules, find the rate of change of the velocity when the velocity is 21.5 m/s. Round to 4 decimal places.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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It is known that the kinetic energy, KE, of a moving object is directly proportional
to its mass, m, and the square of its speed, v. That is:
1
mv?,
КЕ
2
where the mass m is in Kg, the velocity v is in m/s, and the KE is in joule.
If a rock of mass 500 Kg is moving such that the KE decreases at a rate
of 1895 joules, find the rate of change of the velocity when the velocity is 21.5
m/s. Round to 4 decimal places.
Transcribed Image Text:It is known that the kinetic energy, KE, of a moving object is directly proportional to its mass, m, and the square of its speed, v. That is: 1 mv?, КЕ 2 where the mass m is in Kg, the velocity v is in m/s, and the KE is in joule. If a rock of mass 500 Kg is moving such that the KE decreases at a rate of 1895 joules, find the rate of change of the velocity when the velocity is 21.5 m/s. Round to 4 decimal places.
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