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Two Objects a and B Are Thrown Upward Simultaneously with the Same Speed. the Mass of a is Greater than that of B. Suppose the Air Exerts a Constant and Equal Force of Resistance on the Two Bodies. - Physics

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MCQ

Two objects A and B are thrown upward simultaneously with the same speed. The mass of A is greater than that of B. Suppose the air exerts a constant and equal force of resistance on the two bodies.

Options

  • The two bodies will reach the same height.

  • A will go higher than B.

  • B will go higher than A.

  •  Any of the above three may happen depending on the speed with which the objects are thrown.

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Solution

A will go higher than B.

Let the air exert a constant resistance force = F (in downward direction).
Acceleration of particle A in downward direction due to air resistance, aA = F/mA.
Acceleration of particle B in downward direction due to air resistance, aB = F/mB.
mA > mB
aA < aB
\[S = ut + \frac{1}{2}a t^2\]
\[So, H_A = ut - \frac{1}{2}( a_A + g) t^2\]
\[H_B = ut - \frac{1}{2}( a_B + g) t^2\]
\[H_A > H_B\]
Therefore, A will go higher than B.

Concept: Newton’s Second Law of Motion
  Is there an error in this question or solution?

APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 1
Chapter 5 Newton's Laws of Motion
MCQ | Q 10 | Page 78
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