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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?

1) 6.11 N
2) 36.9 N
3) 19.1 N
4) 13.3 N

Answer :

To calculate the weight of an object on a different planet, we first converted the weight from pounds to kilograms, and then used the new gravitational acceleration to find the weight in Newtons. The object that weighs 4.50 lb on Earth would weigh 13.3 N on a planet with a free-fall acceleration of 6.52 m/s².

To find the weight of an object on a planet where the free-fall acceleration is 6.52 m/s2, we first need to convert the weight from pounds to the mass in kilograms, then use that mass to calculate the new weight in Newtons (N) using the acceleration due to gravity on that planet.

One pound is equivalent to approximately 0.453592 kilograms. Therefore, an object that weighs 4.50 lb on Earth has a mass of:
4.50 lb imes 0.453592 kg/lb = 2.04166 kg.

Now we can calculate the weight on the planet using the formula w = mg, with the given acceleration:

w = 2.04166 kg imes 6.52 m/s2 = 13.31163 N.

Therefore, the correct weight of the object on the planet would be 13.3 N, which matches option 4).

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