An athlete whose mass is 60kg runs a 200m race in 30 seconds, calculate the kinetic energy of the athlete
We can calculate the kinetic energy of the athlete using the formula:
kinetic energy = 0.5 x mass x velocity^2
First, we need to calculate the velocity of the athlete. We can use the formula:
velocity = distance / time
The distance of the race is 200m and the time taken is 30 seconds, so:
velocity = 200 / 30 = 6.67 m/s (rounded to two decimal places)
Now we can substitute the values into the kinetic energy formula and calculate:
kinetic energy = 0.5 x 60 x (6.67)^2 = 1335.6 joules (rounded to one decimal place)
Therefore, the kinetic energy of the athlete is approximately 1335.6 joules.
To calculate the kinetic energy of the athlete, we can use the formula:
Kinetic Energy (KE) = 1/2 * mass * velocity^2
Given:
Mass of the athlete (m) = 60 kg
Velocity (v) = distance / time = 200m / 30s
Let's calculate the velocity first:
Velocity (v) = 200m / 30s = 6.667 m/s (rounded to 3 decimal places)
Now, substitute the values into the formula:
KE = 1/2 * 60 kg * (6.667 m/s)^2
Simplifying the equation:
KE = 1/2 * 60 kg * 44.445 m^2/s^2
KE = 1333.33 kg * m^2/s^2 (rounded to 2 decimal places)
The kinetic energy of the athlete is approximately 1333.33 kg * m^2/s^2.