Select the correct answer. Five marbles roll down a ramp. Each marble reaches the bottom of the ramp at a speed of 3 meters/second. Which marble has the highest kinetic energy at the bottom of the ramp? The table lists the mass of each marble. Marble 1 Marble 2 Marble 3 Marble 4 Marble 5 10 g 20 g 25 g 40 g 30 g A. Marble 1 B. Marble 2 C. Marble 3 D. Marble 4 E. Marble 5

40 g

Explanation:

The energy possessed by the body due to its motion is called its kinetic energy.

The formula for the kinetic energy is given by

K = / frac{1}{2}mv^{2}

All the marbles having same speed but different mass.

So, Kinetic energy is directly proportional to the mass of the body keeping velocity constant.

The marble has maximum mass has highest kinetic energy.

So, the marble having mass 40 g has highest kinetic energy.

Kinetic energy = (1/2) * mass * velocity

Marble 1 = (1/2) * 10 * 3 = 15 Joules

Marble 2 = 30 J

Marble 3 = 37.5 J

Marble 4 = 60 J

Marble 5 = 45 J

Marble 4 has the most kinetic energy - D.