SATHEE: Laws Of Motion Question 130

Laws Of Motion Question 130

Question: A bullet of mass w moving with velocity $v_{0}$ hits a wooden plank $A$ of mass $M$ placed on a smooth horizontal surface. The length of the plank is $ℓ$ . The bullet experiences a constant resistive force F inside the block. The minimum value of $v_{0}$ such that it is able to come out of the plank is

Options:

A) $\sqrt{\frac{F ℓ / m}{M^{2}}}$

B) $\begin{aligned} \sqrt{\frac{2 F ℓ (M + m)}{M m}} & \end{aligned}$

C) $\begin{aligned} \sqrt{\frac{2 F ℓ m}{M^{2}}} & \end{aligned}$

D) $\sqrt{\frac{F ℓ (M + m)}{M m^{}}}$

Show Answer

Answer:

Correct Answer: B

Solution:

[b] From Newton’s third law a force F acts on the block in forward direction. Acceleration of black $a_{1} = \frac{F}{M}$ Retardation of bullet $a_{2} = \frac{F}{m}$ Relative retardation of bullet $a_{r} = a_{1} + a_{2} = \frac{F (M + m)}{M m}$ Applying $v^{2} = u^{2} - 2 a_{r} ℓ$

$0 = v_{0}^{2} - \frac{2 F (M + m)}{M m} . ℓ$ Therefore, minimum value of $V_{0}$ is Or $V_{0} = \sqrt{\frac{2 F ℓ (M + m)}{M m}}$

Laws Of Motion Question 130

Options:

Answer:

Solution:

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Laws Of Motion Question 130

Question: A bullet of mass w moving with velocity v0 hits a wooden plank A of mass M placed on a smooth horizontal surface. The length of the plank is ℓ . The bullet experiences a constant resistive force F inside the block. The minimum value of v0 such that it is able to come out of the plank is

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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