What is the kinetic energy of a 29 kg dog that is running at a speed of 8.8 m/s (about 20 mi/h)?
tite
KE = 1/2 mv^2 = 1/2 * 29 * 8.8^2 = 1122.9J
What is the kinetic energy of a 19 kg dog that is running at a speed of 8.0 m/s (about 18 mi/h)?
To calculate the kinetic energy of the dog, we need to use the formula:
Kinetic Energy = 0.5 * mass * speed^2
First, convert the speed from miles per hour (mi/h) to meters per second (m/s).
1 mile = 1609.34 meters
1 hour = 3600 seconds
So, to convert 20 mi/h to m/s:
20 mi/h * (1609.34 meters / 1 mile) * (1 hour / 3600 seconds) ≈ 8.94 m/s
Now, we can calculate the kinetic energy using the formula:
Kinetic Energy = 0.5 * 29 kg * (8.94 m/s)^2
Let's plug in the values:
Kinetic Energy = 0.5 * 29 * (8.94)^2
Simplifying further:
Kinetic Energy ≈ 0.5 * 29 * 79.8436
Kinetic Energy ≈ 1164.9118 Joules
So, the kinetic energy of the 29 kg dog running at a speed of 8.8 m/s is approximately 1164.9118 Joules.