Calculate the change in kinetic energy of a 2.50kg cat slowing down from 1.00m/s to 0.500m/s.
KE change = 0.5M*V2^2 - 0.5M*V1^2 = 0.5M(V2^2 - V1^2).
V1 = 1 m/s.
V2 = 0.5 m/s.
Since the KE decreased, the change should be negative.
To calculate the change in kinetic energy, we need to find the initial kinetic energy and the final kinetic energy, and then subtract the initial from the final.
The formula for kinetic energy is:
Kinetic energy (KE) = (1/2) * mass * velocity^2.
Given:
Mass (m) = 2.50 kg
Initial velocity (v1) = 1.00 m/s
Final velocity (v2) = 0.500 m/s
First, let's find the initial kinetic energy (KE1):
KE1 = (1/2) * m * v1^2
Plugging in the values:
KE1 = (1/2) * 2.50 kg * (1.00 m/s)^2
KE1 = 1.25 * 1.00 m^2/s^2
KE1 = 1.25 J
Now, let's find the final kinetic energy (KE2):
KE2 = (1/2) * m * v2^2
Plugging in the values:
KE2 = (1/2) * 2.50 kg * (0.500 m/s)^2
KE2 = 0.625 * 0.250 m^2/s^2
KE2 = 0.15625 J
Finally, we can calculate the change in kinetic energy (ΔKE):
ΔKE = KE2 - KE1
ΔKE = 0.15625 J - 1.25 J
ΔKE ≈ -1.09375 J
Therefore, the change in kinetic energy of the cat slowing down is approximately -1.09375 J. The negative sign indicates that the cat has lost kinetic energy in the process.