A 5.36×104 kgkg railroad car moves on frictionless horizontal rails until it hits a horizontal spring stopper with a force constant of 4.29×105 N/mN/m . When the railroad car comes to a complete stop, the compression of the spring stopper is 36 cmcm . How fast was the railroad car initially?

Speed of the railroad car is equal to 1.664 m/sec

Explanation:

We have given mass of the car

Spring constant of the spring

Spring is stretched by 36 cm

So x = 36 cm = 0.36 m

Work done by spring is equal to

This energy will be equal to kinetic energy of the car

So

v = 1.664 m/sec

Sp speed of the railroad car is equal to 1.664 m/sec

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