Question

Which of the following cars have the most kinetic energy

Answer 1

Hey There!

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Answer:

$\huge\boxed{OptionA}$

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DATA:

Blue Car:

mass = 4 kg

velocity = 5 m/s^2

Orange truck:

Mass= 2kg

Velocity = 7m/s^2

Grey Car:

mass = 6 kg

velocity = 4m/s^2

Green Car:

Mass = 8 kg

Velocity = 3 m/s^2

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SOLUTION:

By the equation of kinetic energy,

                                       

                                         K.E = $\frac{1}{2} mv^2$

Where,

            K.E is kinetic energy

            m is mass

            v is velocity

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Kinetic energy of Blue car:

 

Directly substitute the variables in the equation,

                                       

                                       K.E = $\frac{1}{2}x4x5^2$

Simplify the equation,

                                       K.E = 50 J

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Kinetic Energy of Silver Car:

                                           

 Directly substitude the variable in the equation,

                                                           

                                        K.E = $\frac{1}{2}x6x4^2$

Simplify the equation,

                                        K.E = 48J

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Kinetic Energy of Green Car:

Substitute the variables in the equation,

                                         

                                         K.E = $\frac{1}{2}x8x3^2$

Simplify the Equation,

                                         

                                         K.E = 36J

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Kinetic Energy of Orange Truck:

Substitute the variable,

                                        K.E = $\frac{1}{2}x 2x7^2$

Simplify the equation,

                                     

                                        K.E = 49J

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As you can see that the highest value of kinetic energy is of Blue SUV thus it will be out answer.

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Best Regards,

'Borz'