The Answer is (32/20)^2=2.56times the kinetic enrgy at 20 m/s 2.56x4500
Problem The kinetic energy (k) of moving object varies jointly with it mass (m) and the square of its velocity(v). If an object has a mass of 22.5 kilgorams and moving with a velocity of 20 meters per second has a kinetic energy of 4500 joules, fined it kinetic energy when the velocity is 32 meters per second.
Write a 250 word summary of the above problem your written work should include but necssarily to the following. An explanation of the problem, a review of the mathematical concept involved a critique of the method used to obtain the solution and an interpertation of the answer please help me.
Everything is the same but the velocity.
Ke proportional to v^2
so proportional to
(32/20)^2 = 1.6^2 = 2.56 times original Ke
2.56 * 4500 = 11,520
I can not imagine stretching that out into 250 words :)
Can someone help me write a 250 word summard of the above problem, wriiten work should include but necessarily limited to the following. An explaniation of the problem, a review of the mathmetical concept invovled a critque of the method used ot obtain the solution, and an interpertation of the answer.
Problem The kinetic Energy (ki) of a moving object varies jointy with it mass (m) and the square of its velocity (v). If an object has a mass of 22.5 kilgorams and moving with a velocity of 20 meters per second has a kinetic energy of 4500 joules,find it kinetic energy when the velocity is 32 meters per second. Please help me
Explanation of the problem:
The problem is asking us to find the kinetic energy of an object when its velocity is 32 meters per second, given that it has a mass of 22.5 kilograms and a kinetic energy of 4500 joules when its velocity is 20 meters per second. We are told that the kinetic energy (k) of a moving object is related to its mass (m) and the square of its velocity (v).
Review of the mathematical concept involved:
The concept involved in this problem is the formula for kinetic energy, which is given as k = 0.5 * m * v^2. In this formula, k represents the kinetic energy, m represents the mass of the object, and v represents the velocity of the object. According to the problem, the kinetic energy (k) varies jointly with the mass (m) and the square of the velocity (v).
Critique of the method used to obtain the solution:
To find the kinetic energy when the velocity is 32 meters per second, we can use the given information to first calculate the value of the constant of variation. Then, we can substitute this value, along with the new velocity, into the formula to find the kinetic energy. The given solution, (32/20)^2 = 2.56, represents the square of the ratio of the new velocity (32 m/s) to the initial velocity (20 m/s). However, it only relates to the proportionality between the velocities, and not to the actual kinetic energy.
Interpretation of the answer:
To find the kinetic energy at a velocity of 32 m/s, we need to multiply the initial kinetic energy of 4500 joules by the square of the ratio of the new velocity to the initial velocity. Hence, the answer would be 2.56 times the initial kinetic energy, which is approximately 11520 joules.
In summary, the problem involves finding the kinetic energy of an object with a given mass and initial velocity at a different velocity. The mathematical concept used is the formula for kinetic energy, which depends on mass and velocity. The solution provided in the problem does not directly obtain the kinetic energy but rather represents the ratio of velocities. The interpretation of the answer is that the kinetic energy at the new velocity is approximately 11520 joules, which is 2.56 times the initial kinetic energy.