16. To conduct an experiment, a scientist has two metal spheres made to have the

Question

16. To conduct an experiment, a scientist has two metal spheres made to have the same diameter and surface texture. Sphere A is hollow and has a mass of m, while sphere B is solid and has a mass of 4m. The scientist drops the two spheres at the same time from a tall structure. As the two spheres fall through the air, which sphere has the greater acceleration after 1 second?

A) Sphere A.

B) Sphere B

C) They have the same acceleration.

D) There is not enough information to tell.

17. The two spheres fall to the ground below. Which of the following is true?

A) Sphere A will land first because it experiences less air resistance.

B) Sphere B will land first because it experiences less air resistance.

C) Sphere B will land first because it has the largest weight, and the least effect of the air resistance.

D) They will land at the same time, because all objects fall with the same acceleration.

Explanation / Answer

16. Since the volume of both spheres is same, air resistance will be the same for both.

Let air resistance be F.

Then,

aA = (mg - F)/m = g - F/m

aB = (4mg - F)/4m = g - F/4m

So, aB > aA

Hence, Correct answer is B

17. Correct answer is C

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