Final answer:
The kinetic energy (KE) of the mother sheep and the lamb can be calculated using the formula KE = 1/2 mv^2. With masses of 80 kg and 25 kg, and both having velocities of 2.7 m/s, the kinetic energies are found to be 291.6 Joules for the mother sheep and 91.125 Joules for the lamb.
Step-by-step explanation:
Kinetic Energy Calculation
To determine the kinetic energy of the sheep and the lamb, we utilize the kinetic energy formula KE = ½ mv², where m is the mass and v is the velocity. Given that the mass of the mother sheep is 80 kg and the mass of the lamb is 25 kg, and both have velocities of 2.7 m/s, we calculate the kinetic energy for each animal.
For the mother sheep: KE_sheep = ½ × 80 kg × (2.7 m/s)²
For the lamb: KE_lamb = ½ × 25 kg × (2.7 m/s)²
We then calculate these values to find the kinetic energies:
- KE_sheep = ½ × 80 × 7.29 = 291.6 Joules
- KE_lamb = ½ × 25 × 7.29 = 91.125 Joules
To ensure the results are reasonable, we compare the kinetic energies relative to the masses and velocities, confirming that they are consistent with the formula and proportional to the masses.