An athlete whose mass is 60 kg runs a 200m race in 30 seconds. calculate the kinetic energy of the athlete
We can use the formula for kinetic energy:
KE = 0.5 x m x v^2
where KE is the kinetic energy, m is the mass of the athlete, and v is the velocity of the athlete.
First, we need to find the velocity of the athlete using the formula for average speed:
v = d/t
where d is the distance traveled and t is the time taken. In this case, the distance is 200m and the time is 30 seconds:
v = 200/30 = 6.67 m/s
Now we can plug in the values for mass and velocity to find the kinetic energy:
KE = 0.5 x 60 x (6.67)^2
KE = 13335 Joules
Therefore, the kinetic energy of the athlete is 13335 Joules.
The kinetic energy (KE) of an object can be calculated using the formula:
KE = (1/2) * mass * velocity^2
Given:
Mass (m) = 60 kg
Velocity (v) = 200m / 30s = 6.67 m/s (rounded to 2 decimal places)
Now we can substitute the values into the formula to calculate the kinetic energy:
KE = (1/2) * 60 kg * (6.67 m/s)^2
Simplifying the equation:
KE = 0.5 * 60 kg * 44.44 m^2/s^2
KE ≈ 1333.20 Joules (rounded to 2 decimal places)
Therefore, the kinetic energy of the athlete is approximately 1333.20 Joules.