1
COMEDK 2024 Evening Shift
+1
-0

A ball is moving in a circular path of radius $$5 \mathrm{~m}$$. If tangential acceleration at any instant is $$10 \mathrm{~ms}^{-2}$$ and the net acceleration makes an angle of $$30^{\circ}$$ with the centripetal acceleration, then, the instantaneous speed is

A
$$5.4 \mathrm{~ms}^{-1}$$
B
$$50 \sqrt{3} \mathrm{~ms}^{-1}$$
C
$$6.6 \mathrm{~ms}^{-1}$$
D
$$9.3 \mathrm{~ms}^{-1}$$
2
COMEDK 2024 Morning Shift
+1
-0

A metal ball of $$20 \mathrm{~g}$$ is projected at an angle $$30^{\circ}$$ with the horizontal with an initial velocity $$10 \mathrm{~ms}^{-1}$$. If the mass and angle of projection are doubled keeping the initial velocity the same, the ratio of the maximum height attained in the former to the latter case is :

A
1 : 2
B
2 : 1
C
1 : 3
D
3 : 1
3
COMEDK 2024 Morning Shift
+1
-0

A body is moving along a circular path of radius '$$r$$' with a frequency of revolution numerically equal to the radius of the circular path. What is the acceleration of the body if radius of the path is $$\left(\frac{5}{\pi}\right) m$$ ?

A
$$100 \pi \mathrm{~ms}^{-2}$$
B
$$500 \pi \mathrm{~ms}^{-2}$$
C
$$25 \pi \mathrm{~ms}^{-2}$$
D
$$\left(\frac{500}{\pi}\right) \mathrm{ms}^{-2}$$
4
COMEDK 2023 Morning Shift
+1
-0

One end of the string of length $l$ is connected to a particle of mass $$m$$ and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in circle with speed $$v$$, the net force on the particle (directed towards centre) will be ( $$T$$ represents the tension in the string)

A
$$T$$
B
$$T+\frac{m v^2}{l}$$
C
$$T-\frac{m v^2}{l}$$
D
zero
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