Question

How much would a 40 lb object (on Earth: 9.81 m/s/s) weigh on a planet where objects fall with an acceleration of 4 m/s/s?

a) 16.4 lbs
b) 40 lbs
c) 9.81 lbs
d) 10 lbs

Answer 1

To find the weight of a 40 lb object on a planet with an acceleration of 4 m/s/s, convert the weight to kg, substitute the given acceleration into the equation, and convert the weight from Newtons to lbs. The weight is approximately 16.4 lbs.

Step-by-step explanation:

To find the weight of a 40 lb object on a planet where objects fall with an acceleration of 4 m/s/s, we can use the equation:

weight = mass x acceleration due to gravity

Given that the object weighs 40 lbs on Earth (where g = 9.81 m/s/s), we can first convert the weight to kg by dividing by 2.20462. This gives us a mass of approximately 18.1437 kg. Next, we can substitute the given acceleration due to gravity (4 m/s/s) into the equation and solve for the weight:

weight = 18.1437 kg x 4 m/s/s = 72.5748 N

Lastly, we can convert the weight from Newtons to lbs by multiplying by 0.224808943874 or dividing by 4.44822. This gives us a weight of approximately 16.2548 lbs. Therefore, the correct answer is a) 16.4 lbs.