1
KCET 2025
MCQ (Single Correct Answer)
+1
-0

During an elastic collision between two bodies, which of the following statements are correct?

I. The initial kinetic energy is equal to the final kinetic energy of the system.

II. The linear momentum is conserved.

III. The kinetic energy during $\Delta \mathrm{t}$ (the collision time) is not conserved.

A
II and III only
B
I and III only
C
I, II and III
D
I and II only
2
KCET 2025
MCQ (Single Correct Answer)
+1
-0

Three particles of mass $1 \mathrm{~kg}, 2 \mathrm{~kg}$ and 3 kg are placed at the vertices A, B and C respectively of an equilateral triangle ABC of side 1 m . The centre of mass of the system from vertex A (located at origin) is

A
$\left(\frac{7}{12}, \frac{3 \sqrt{3}}{12}\right)$
B
$\left(\frac{9}{12}, \frac{3 \sqrt{3}}{12}\right)$
C
$\left(\frac{7}{12}, \frac{6+3 \sqrt{3}}{12}\right)$
D
$(0,0)$
3
KCET 2022
MCQ (Single Correct Answer)
+1
-0

The centre of mass of an extended body on the surface of the earth and its centre of gravity

A
are always at the same point only for spherical bodies.
B
can never be at the same point.
C
centre of mass coincides with the centre of gravity of a body if the size of the body is negligible as compared to the size (or radius) of the earth.
D
are always at the same point for any size of the body.
4
KCET 2021
MCQ (Single Correct Answer)
+1
-0

A $$1 \mathrm{~kg}$$ ball moving at $$12 \mathrm{~ms}^{-1}$$ collides with a $$2 \mathrm{~kg}$$ ball moving in opposite direction at $$24 \mathrm{~ms}^{-1}$$. If the coefficient of restitution is $$2 / 3$$, then their velocities after the collision are

A
$$-4 \mathrm{~ms}^{-1},-28 \mathrm{~ms}^{-1}$$
B
$$-28 \mathrm{~ms}^{-1},-4 \mathrm{~ms}^{-1}$$
C
$$4 \mathrm{~ms}^{-1}, 28 \mathrm{~ms}^{-1}$$
D
$$28 \mathrm{~ms}^{-1}, 4 \mathrm{~ms}^{-1}$$
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