Two dogs run down a hill at the same speed toward a pile of leaves at the bottom. The dalmatian has a mass of 29 kilograms, and the poodle has a mass of 5 kilograms. Which dog has more kinetic energy as it runs down the hill and collides with the pile of leaves? Explain your response.
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To determine which dog has more kinetic energy, we need to use the formula for kinetic energy:
Kinetic Energy (KE) = 1/2 * mass * velocity^2
The kinetic energy depends on both the mass and the velocity of an object. In this case, the velocity is the same for both dogs since they are running down the hill at the same speed.
Let's calculate the kinetic energy for each dog:
For the dalmatian:
Mass = 29 kilograms
Velocity = constant velocity
For the poodle:
Mass = 5 kilograms
Velocity = constant velocity
Since both dogs have the same velocity, the only difference is their mass. According to the kinetic energy formula, the kinetic energy of an object is directly proportional to its mass. This means that the higher the mass, the higher the kinetic energy.
Therefore, the dalmatian, with a mass of 29 kilograms, will have more kinetic energy compared to the poodle, which has a mass of 5 kilograms.
In conclusion, the dalmatian has more kinetic energy as it runs down the hill and collides with the pile of leaves due to its higher mass.