Answer:
The weight of the 3-kg rock on this planet is 15 Newtons (N).
Step-by-step explanation:
To calculate the weight of the rock on the other planet, we can use the formula for weight:
Weight = mass × acceleration due to gravity
First, we need to find the acceleration due to gravity on this planet. We can do that using the information given in the problem. The rock falls a vertical distance of 2.5 meters in one second.
The formula for distance fallen under constant acceleration is given by:
d = (1/2) × g × t^2
Where:
d = distance fallen (2.5 meters in this case)
g = acceleration due to gravity
t = time of fall (1 second in this case)
We can rearrange the formula to solve for g:
g = 2 × d / t^2
g = 2 × 2.5 / 1^2
g = 5 m/s^2
Now, we have the acceleration due to gravity on this planet, which is 5 m/s^2. Now, we can calculate the weight of the rock:
Weight = mass × acceleration due to gravity
Weight = 3 kg × 5 m/s^2
Weight = 15 kg m/s^2
The unit "kg m/s^2" is equivalent to the Newton (N), which is the unit of force. So, the weight of the 3-kg rock on this planet is 15 Newtons (N).