Athlete of mass 70.0kg runs a 1000m race in 10 seconds calculate the kenetic energy possessed by the body
Since KE = 1/2 mv^2, you just plug in your numbers to get the energy in Joules:
1/2 * 70.0 * (1000m/10s)^2
3500000000j
To calculate the kinetic energy possessed by an object, you need to use the formula:
Kinetic Energy (KE) = 0.5 * mass * velocity^2
Given:
Mass of the athlete (m) = 70.0 kg
Race distance (D) = 1000 m
Race time (t) = 10 seconds
To calculate the velocity (v) of the athlete, we use the formula:
Velocity (v) = Distance (D) / Time (t)
Plugging in the values:
v = 1000 m / 10 s = 100 m/s
Now, we can substitute the values into the kinetic energy formula:
KE = 0.5 * mass * velocity^2
KE = 0.5 * 70.0 kg * (100 m/s)^2
Calculating the squared velocity:
KE = 0.5 * 70.0 kg * 10,000 m^2/s^2
KE = 0.5 * 70,000 kg * m^2 / s^2
Simplifying further:
KE = 35,000 kg * m^2 / s^2
Therefore, the kinetic energy possessed by the athlete is approximately 35,000 Joules.