true / false
if dropped from the top of a high building a 20 kg sphere with a radius of 20 cm will reachterminal velocity before a 10 kg sphere with the same radius
Stacey Warren - Expert brainly.com
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Drag force, IIRC, is D=(1/2)CpAv^2, where C is the drag coefficient of the fluid, p is the fluid density, and A is the cross sectional area perpendicular to the direction of force. Nowhere here is mass mentioned; this is merely an upwards pointing force for all masses of the same A.
The force of gravity needs to equal D. But the force of gravity is mass-reliant, a la F=ma, or F_g=mg. With a larger m comes a larger F, and as v increases similarly for both masses, it will take longer for D to meet the larger F_g. So, yes, the one with the larger mass will take longer to reach terminal velocity.
Note, though, I assumed that the drag (air resistance) were negligible for the velocity's progression as time went by. If the numbers were extreme enough that they aren't, then the answer might change.
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