Question

the table shows information about four students who are running around a track. motion of students student name mass (kg) velocity (m/s) autumn 50 4 mohammed 57 3 lexy 53 2 chiang 64 5 which statement is supported by the information in the chart? autumn has more kinetic energy than chiang. mohammed has less kinetic energy than autumn. lexy has more kinetic energy than mohammed. chiang has less kinetic energy than lexy.

Explanation:

Step1: Recall kinetic - energy formula

The formula for kinetic energy is $KE=\frac{1}{2}mv^{2}$, where $m$ is mass and $v$ is velocity.

Step2: Calculate Autumn's kinetic energy

$KE_{Autumn}=\frac{1}{2}\times50\times4^{2}=\frac{1}{2}\times50\times16 = 400$ J.

Step3: Calculate Mohammed's kinetic energy

$KE_{Mohammed}=\frac{1}{2}\times57\times3^{2}=\frac{1}{2}\times57\times9 = 256.5$ J.

Step4: Calculate Lexy's kinetic energy

$KE_{Lexy}=\frac{1}{2}\times53\times2^{2}=\frac{1}{2}\times53\times4 = 106$ J.

Step5: Calculate Chiang's kinetic energy

$KE_{Chiang}=\frac{1}{2}\times64\times5^{2}=\frac{1}{2}\times64\times25 = 800$ J.

Step6: Compare kinetic - energies

$KE_{Mohammed}(256.5\ J)

Answer:

Mohammed has less kinetic energy than Autumn.