Gravitational time dilation on Earth does not directly affect the wattage (power) received by an exposed object from the Sun. The amount of power received from the Sun is determined by the distance between the object and the Sun, the size of the object, and the angle at which sunlight hits the object. Gravitational time dilation, on the other hand, is a phenomenon related to the distortion of time in the presence of gravitational fields.
Gravitational time dilation occurs due to the curvature of spacetime caused by massive objects. In the vicinity of a massive body like the Earth, time appears to pass more slowly compared to a location with weaker gravitational influence. This effect is relative, meaning it depends on the difference in gravitational potential between two points.
However, when it comes to the amount of power received from the Sun, gravitational time dilation itself does not directly influence it. The amount of solar energy received by an object on Earth's surface is determined by factors such as the distance from the Sun, the Earth's atmosphere, and the angle at which sunlight strikes the object.
So, while gravitational time dilation affects the passage of time in the presence of a gravitational field, it does not directly impact the wattage received by an exposed object from the Sun.