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Question

An object falling near Earth's surface has two forces exerted on it: the gravitational force and a resistive force \( F_{\mathrm{R}} \) that is proportional to the object's velocity \( v \) as \( F_{\mathrm{R}}=-k v \), where \( k \) is a positive constant. Does the acceleration of the object depend on its mass? Why or why not? (A) No, because the acceleration is constant and equal to \( g \). (B) No, because the terminal velocity of the object increases as its mass increases. (C) Yes, because Newton's second law indicates that acceleration is inversely proportional to mass. D Yes, because the weight of the object is proportional to its mass, while the resistive force is independent of its mass.

          An object falling near Earth's surface has two forces exerted on it: the gravitational force and a resistive force \( F_{\mathrm{R}} \) that is proportional to the object's velocity \( v \) as \( F_{\mathrm{R}}=-k v \), where \( k \) is a positive constant. Does the acceleration of the object depend on its mass? Why or why not?
(A) No, because the acceleration is constant and equal to \( g \).
(B) No, because the terminal velocity of the object increases as its mass increases.
(C) Yes, because Newton's second law indicates that acceleration is inversely proportional to mass.

D Yes, because the weight of the object is proportional to its mass, while the resistive force is independent of its mass.

An object falling near Earth's surface has two forces exerted on it: the gravitational force and a resistive force FR that is proportional to the object's velocity v as FR=-k v, where k is a positive constant. Does the acceleration of the object depend on its mass? Why or why not?
(A) No, because the acceleration is constant and equal to g.
(B) No, because the terminal velocity of the object increases as its mass increases.
(C) Yes, because Newton's second law indicates that acceleration is inversely proportional to mass.

D Yes, because the weight of the object is proportional to its mass, while the resistive force is independent of its mass.

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