Question

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

a. marble 1
b. marble 2
c. marble 3
d. marble 4
e. marble 5

Explanation:

Step1: Recall kinetic - energy formula

The formula for kinetic energy is $K = \frac{1}{2}mv^{2}$, where $m$ is the mass and $v$ is the velocity. Given that the velocity $v = 3$ m/s is the same for all marbles, the kinetic energy depends only on the mass $m$.

Step2: Compare masses

We compare the masses of the marbles: Marble 1 has a mass of $m_1=10$ g, Marble 2 has $m_2 = 20$ g, Marble 3 has $m_3=25$ g, Marble 4 has $m_4 = 40$ g, and Marble 5 has $m_5=30$ g. Since $40$ g (mass of Marble 4) is the largest mass among them.

Answer:

D. Marble 4