Final answer:
Pendulum clocks gain or lose time due to changes in the length of the pendulum caused by temperature changes. In the summer, the clock loses time as the pendulum expands with increased temperature. The correct answer is D. Lose 2 seconds.
Step-by-step explanation:
Pendulum clocks are designed to keep time by adjusting the length of the pendulum. When the temperature changes, the length of the pendulum can also change due to thermal expansion of the material. In this case, the clock gains or loses time depending on the direction of the change in the length of the pendulum.
When most materials are heated, they expand. So, in the summer when the temperature is higher, the pendulum will expand and the clock will run slower, losing time. Conversely, in the winter when the temperature is lower, the pendulum will contract and the clock will run faster, gaining time.
Therefore, the correct answer is D. Lose 2 seconds since the clock is gaining 5 seconds per day, and in the summer the clock will lose time due to the expansion of the pendulum.