1
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

Masses $$m\left(\frac{1}{3}\right)^N \frac{1}{N}$$ are placed at $$x=N$$, when $$N=2,3,4 \ldots \infty$$. If the total mass of the system is $$M$$, then the centre of mass is

A
$$\frac{1}{6} \frac{m}{M}$$
B
$$\frac{1}{5} \frac{m}{M}$$
C
$$\frac{1}{3} \frac{m}{M}$$
D
$$\frac{1}{2} \frac{m}{M}$$
2
AP EAPCET 2021 - 19th August Morning Shift
+1
-0

A metal ball of mass 2 kg moving with a velocity of 36 km/h has a head on collision with a stationary ball of mass 3 kg. After the collision, if both balls move together, then the loss in kinetic energy due to collision is

A
40 J
B
60 J
C
100 J
D
140 J
3
AP EAPCET 2021 - 19th August Morning Shift
+1
-0

A particle of mass m, moving with a velocity v makes an elastic collision in one dimension with a stationary particle of mass m. During the collision, they remain in contact with each other for an extremely small time T. Their force of contact, with time is shown in the figure. Then, F0

A
$$\frac{2mv}{T}$$
B
$$\frac{4mv}{3T}$$
C
$$\frac{mv}{T}$$
D
$$\frac{3mv}{T}$$
4
AP EAPCET 2021 - 19th August Morning Shift
+1
-0

The sum of moments of all the particles in a system about its centre of mass is always

A
minimum
B
zero
C
maximum
D
infinite
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