Question

In: Chemistry

An object with a mass of 49.8 pounds is moving with a uniform velocity of 30.9...

An object with a mass of 49.8 pounds is moving with a uniform velocity of 30.9 miles per hour. Calculate the kinetic energy of this object in joules

Solutions

Expert Solution

Ans. Mass = 49.8 lb = 22.5889 kg                                     ; [1 lb = ‪0.453592 kg]

            Velocity = 30.9 mile/ hr = 13.81354                     ; [ 1 mile/h = 0.44704 m/s]

Now.

            Kinetic energy of a particle, KE = ½ mv2

                                                Where, m = mass in kg        ; v = velocity in ms/

            Or, KE = ½ (22.5889 kg) (13.81354 ms-1)2 = 2155.14 kg m2 s-2

            Or, KE = 2155.14 J                                                 ; [1 kg m2 s-2 = 1 J]

Therefore, KE of the object = 2155.14 J


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