High School

If an object weighs 4.50 lb on Earth, what would be its weight on a planet where the free-fall acceleration is 6.52 m/s²?

A. 6.11 N
B. 36.9 N
C. 19.1 N
D. 13.3 N

Answer :

To find the weight on another planet, convert the weight from pounds to kilograms and use the formula w = mg with the new gravitational acceleration. The object's weight would be 13.3 N on the new planet.Thus the right answer is option (d) 13.3n

To calculate the weight of an object on another planet, we can use the formula w = mg, where w is the weight, m is the mass of the object, and g is the acceleration due to gravity on that planet. First, we need to convert the weight from pounds to the mass in kilograms, because the standard unit of mass in physics is kilograms. Since 1 lb is approximately equal to 0.453592 kg, the mass of an object weighing 4.50 lb on Earth can be calculated as 4.50 lb times 0.453592 kg/lb = 2.04 kg.

Then, we can plug the mass and the new gravitational acceleration into the formula to get the weight on the new planet: w = 2.04 kg times 6.52 m/s2 = 13.3 N. Therefore, the correct answer is 13.3 N.

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