An athlete of mass 70.0kg runs a 100m race in 10s, calculate the kinetic energy possessed by the athlete
The formula for kinetic energy is:
KE = 1/2mv^2
where KE is kinetic energy, m is mass, and v is velocity.
To calculate the velocity of the athlete, we can use the formula:
v = d/t
where d is the distance (100m) and t is the time (10s).
v = 100/10 = 10 m/s
Now we can plug in the values:
KE = 1/2 x 70.0kg x (10 m/s)^2
KE = 1/2 x 70.0kg x 100 m^2/s^2
KE = 1/2 x 7,000 kg m^2/s^2
KE = 3,500 J
Therefore, the athlete possesses 3,500 J of kinetic energy.
To calculate the kinetic energy possessed by the athlete, you can use the formula:
Kinetic Energy = 1/2 * mass * velocity²
First, we need to find the velocity of the athlete. We can do this by dividing the distance (100m) by the time (10s):
Velocity = Distance / Time
Velocity = 100m / 10s
Velocity = 10 m/s
Now, we can substitute the values into the formula:
Kinetic Energy = 1/2 * mass * velocity²
Kinetic Energy = 1/2 * 70.0kg * (10m/s)²
Kinetic Energy = 1/2 * 70.0kg * 100m²/s²
Kinetic Energy = 0.5 * 70.0kg * 10000m²/s²
Calculating the result:
Kinetic Energy = 0.5 * 70.0kg * 10000m²/s²
Kinetic Energy = 0.5 * 7000 kg*m²/s²
Kinetic Energy = 3500 kg*m²/s²
Therefore, the kinetic energy possessed by the athlete is 3500 kg*m²/s².