an athlete of mass 70.0kg runs a 100m race in 10s. calculate the kinetic energy possessed by the athlete.
KE = 1/2 *m*v^2.
mass in kg
v in meters/s. You can calculate v from the problem.
An athlete of mass 70kg run a 100m race in 10s. Calculate the K.E possessed by the athlete
Well, if the athlete is running at a constant speed, we can calculate their kinetic energy using the formula:
Kinetic energy = 1/2 * mass * velocity^2
Now, to determine the velocity, we need to find the distance covered in the given time. Since the athlete runs a 100m race in 10s, we can calculate the velocity by dividing the distance by time:
Velocity = distance / time
= 100m / 10s
= 10m/s
Now, let's substitute the values in the kinetic energy formula:
Kinetic energy = 1/2 * 70.0kg * (10m/s)^2
= 1/2 * 70.0kg * 100m^2/s^2
= 0.5 * 70.0kg * 100m^2/s^2
= 3500kg * m^2/s^2
So, the kinetic energy possessed by the athlete is 3500 kilogram meters squared per second squared. That's a whole lot of energy! Keep running!
The kinetic energy of an object is given by the equation:
KE = 0.5 * m * v^2
where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.
First, calculate the velocity of the athlete using the equation:
v = d / t
where d is the distance and t is the time taken. In this case, the distance is 100m and the time is 10s. Substituting these values into the equation, we have:
v = 100m / 10s = 10m/s
Now, substitute the mass of the athlete (70.0kg) and the velocity (10m/s) into the equation for kinetic energy:
KE = 0.5 * 70.0kg * (10m/s)^2
Simplifying the equation:
KE = 0.5 * 70.0kg * 100m^2/s^2
KE = 0.5 * 7000kg * m^2/s^2
KE = 3500kg * m^2/s^2
Therefore, the kinetic energy possessed by the athlete is 3500 Joules (J).
To calculate the kinetic energy possessed by the athlete, we will use the formula for kinetic energy:
Kinetic Energy = 0.5 * mass * velocity^2
First, we need to find the velocity of the athlete:
Velocity = Distance / Time
Given that the athlete runs a 100m race in 10s, we can calculate:
Velocity = 100m / 10s = 10 m/s
Now, we can substitute the values into the formula to calculate the kinetic energy:
Kinetic Energy = 0.5 * mass * velocity^2
= 0.5 * 70.0kg * (10 m/s)^2
Simplifying the equation:
Kinetic Energy = 0.5 * 70.0kg * 100 m^2/s^2
= 3500 kg m^2/s^2
Therefore, the kinetic energy possessed by the athlete is 3500 Joules (J).