select the correct answer.\nfive marbles roll down a ramp. each marble reaches the bottom of the ramp at a…

select the correct answer.\nfive 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.\n|marble 1|marble 2|marble 3|marble 4|marble 5|\n|----|----|----|----|----|\n|10 g|20 g|25 g|40 g|30 g|\n\na. marble 1\nb. marble 2\nc. marble 3\nd. marble 4\ne. marble 5

select the correct answer.\nfive 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.\n|marble 1|marble 2|marble 3|marble 4|marble 5|\n|----|----|----|----|----|\n|10 g|20 g|25 g|40 g|30 g|\n\na. marble 1\nb. marble 2\nc. marble 3\nd. marble 4\ne. marble 5

Answer

Answer:

D. Marble 4

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.

Step2: Analyze the given situation

All marbles have the same velocity $v = 3$ m/s. Kinetic energy depends only on mass $m$ since $\frac{1}{2}$ and $v^{2}$ are constant.

Step3: Compare masses

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