COMEDK 2023 Morning Shift | Center of Mass and Collision Question 2 | Physics

In the diagram shown below, $$m_1$$ and $$m_2$$ are the masses of two particles and $$x_1$$ and $$x_2$$ are their respective distances from the origin $$O$$.

COMEDK 2023 Morning Shift Physics - Center of Mass and Collision Question 2 English

The centre of mass of the system is

$$\frac{m_1 x_2+m_2 x_2}{m_1+m_2}$$

$$\frac{m_1+m_2}{2}$$

$$\frac{m_1 x_1+m_2 x_2}{m_1+m_2}$$

$$\frac{m_1 m_2+x_1 x_2}{m_1+m_2}$$

COMEDK 2023 Evening Shift

MCQ (Single Correct Answer)

-0

A neutron makes a head on elastic collision with a lead nucleus. The ratio of nuclear mass to neutron mass is 206 . The fractional change in kinetic energy of a neutron is

3% increase

2% decrease

2% increase

3% decrease

COMEDK 2022

MCQ (Single Correct Answer)

-0

A bullet of mass $m$ hits a mass $$M$$ and gets embedded in it. If the block rises to a height $$h$$ as a result of this collision, the velocity of the bullet before collision is

$$v=\sqrt{2 g h}$$

$$v=\sqrt{2 g h}\left[1+\left(\frac{m}{M}\right)\right]$$

$$v=\sqrt{2 g h}\left(1+\sqrt{\frac{M}{m}}\right)$$

$$v=\sqrt{2 g h}\left[1-\left(\frac{m}{M}\right)\right]$$

COMEDK 2022

MCQ (Single Correct Answer)

-0

From a circular disc of radius R, a square is cut out with a radius as its diagonal. The centre of mass of remaining portion is at a distance (from the centre)

$${R \over {(4\pi - 2)}}$$

$${R \over {2\pi }}$$

$${R \over {\pi - 2}}$$

$${R \over {2\pi - 2}}$$

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