Question

The process for rationalizing a denominator in a variable expression is the same as in a numeric expression. Here’s a real-world example. The kinetic energy of the car of a rollercoaster is given by the formula k = one-half m v squared where k is kinetic energy, m is the mass of the car, and v is the velocity of the car. Solving this formula for v, we get v = StartRoot StartFraction 2 k Over m EndFraction EndRoot Which formula gives the velocity of the car in simplest form?

Answer 1

Answer:

It's B

Step-by-step explanation:

Got it right on EDGE2020

Answer 2

The value of velocity of the car will be v = √(2km) / m. Then the correct option is B.

What is kinetic energy?

If the object of mass m is moving with speed v. Then the kinetic energy of the object will be

KE = (1/2) mv²

The process for rationalizing a denominator in a variable expression is the same as in a numeric expression.

Here’s a real-world example.

The kinetic energy of the car of a rollercoaster is given by the formula

k = 1/2 m v²

Where k is kinetic energy, m is the mass of the car, and v is the velocity of the car.

Solving this formula for v, we get

$\rm v = \sqrt{\dfrac{2k}{m}}$

Simplify the equation, we have

$\rm v = \sqrt{\dfrac{2km}{m^2}}\\\rm v = \dfrac{\sqrt{2km}}{m}$

Then the correct option is B.

The complete question is attached below.

More about the kinetic energy link is given below.

https://brainly.com/question/12669551

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