MHT CET 2023 13th May Evening Shift | Center of Mass and Collision Question 2 | Physics

A simple spring has length $$l$$ and force constant $$K$$. It is cut in to two springs of length $$l_1$$ and $$l_2$$ such that $$l_1=n l_2$$($$n$$ is an integer). The force constant of spring of length $$l_1$$ is

$$K(1+n)$$

$$\frac{K(n+1)}{n}$$

$$K$$

$$\frac{K}{(n+1)}$$

MHT CET 2023 12th May Morning Shift

MCQ (Single Correct Answer)

-0

A particle of mass '$$m$$' moving east ward with a speed '$$v$$' collides with another particle of same mass moving north-ward with same speed '$$v$$'. The two particles coalesce after collision. The new particle of mass '$$2 \mathrm{~m}$$' will move in north east direction with a speed (in $$\mathrm{m} / \mathrm{s}$$ )

$$\mathrm{V}$$

$$2 \mathrm{~V}$$

$$\frac{\mathrm{V}}{2}$$

$$\frac{\mathrm{V}}{\sqrt{2}}$$

MHT CET 2023 11th May Evening Shift

MCQ (Single Correct Answer)

-0

A ball kept at $$20 \mathrm{~m}$$ height falls freely in vertically downward direction and hits the ground. The coefficient of restitution is 0.4. Velocity of the ball first rebound is $$\left[\mathrm{g}=10 \mathrm{~ms}^{-2}\right]$$

$$4 \mathrm{~ms}^{-1}$$

$$8 \mathrm{~ms}^{-1}$$

$$12 \mathrm{~ms}^{-1}$$

$$16 \mathrm{~ms}^{-1}$$

MHT CET 2023 10th May Evening Shift

MCQ (Single Correct Answer)

-0

A mass '$$\mathrm{M}$$' moving with velocity '$$\mathrm{V}$$' along $$\mathrm{X}$$-axis collides and sticks to another mass $$2 \mathrm{M}$$ which is moving along $$\mathrm{Y}$$-axis with velocity '$$3 \mathrm{~V}$$'. The velocity of the combination after collision is

$$\frac{V}{3} \hat{i}+2 V \hat{j}$$

$$\frac{V}{2} \hat{i}+V \hat{j}$$

$$\frac{V}{3} \hat{i}-2 V \hat{j}$$

$$\frac{V}{2} \hat{i}-V \hat{j}$$

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