Answer :
To find the weight of an object on another planet, first convert its weight to newtons using Earth's gravity as the conversion factor, then calculate the new weight using the other planet's gravity. In this case, an object that weighs 4.50 lb on Earth would weigh approximately 13.3 N on a planet with a gravity of 6.52 m/s². Therefore, the correct option is 4.
If an object weighs 4.50 lb on Earth, to find its weight on another planet where the free-fall acceleration is 6.52 m/s², we first need to convert the weight from pounds to newtons (since we are working with SI units).
On Earth, 1 lb is equivalent to 4.44822 N. Therefore, an object that weighs 4.50 lb on Earth has a weight of:
Weight in newtons (N) = 4.50 lb imes 4.44822 N/lb
= 20.017 N (rounded to three decimal places)
Now, we can calculate the object's weight on the other planet using the formula:
w = m imes g
= (20.017 N / 9.80 m/s²) imes 6.52 m/s²
= 13.3 N (approximately)
The object would weigh about 13.3 N on the other planet.