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

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.

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.

the answer is kevlar

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft