1
JEE Main 2023 (Online) 13th April Evening Shift
+4
-1 A vehicle of mass $$200 \mathrm{~kg}$$ is moving along a levelled curved road of radius $$70 \mathrm{~m}$$ with angular velocity of $$0.2 ~\mathrm{rad} / \mathrm{s}$$. The centripetal force acting on the vehicle is:

A
$$560 \mathrm{~N}$$
B
$$14 \mathrm{~N}$$
C
$$2800 \mathrm{~N}$$
D
$$2240 \mathrm{~N}$$
2
JEE Main 2023 (Online) 11th April Morning Shift
+4
-1 A coin placed on a rotating table just slips when it is placed at a distance of $$1 \mathrm{~cm}$$ from the center. If the angular velocity of the table in halved, it will just slip when placed at a distance of _________ from the centre :

A
1 cm
B
8 cm
C
4 cm
D
2 cm
3
JEE Main 2023 (Online) 6th April Evening Shift
+4
-1 As shown in the figure, a particle is moving with constant speed $$\pi ~\mathrm{m} / \mathrm{s}$$. Considering its motion from $$\mathrm{A}$$ to $$\mathrm{B}$$, the magnitude of the average velocity is: A
$$\pi ~\mathrm{m} / \mathrm{s}$$
B
$$1.5 \sqrt{3} \mathrm{~m} / \mathrm{s}$$
C
$$\sqrt{3} \mathrm{~m} / \mathrm{s}$$
D
$$2 \sqrt{3} \mathrm{~m} / \mathrm{s}$$
4
JEE Main 2023 (Online) 6th April Evening Shift
+4
-1 A child of mass $$5 \mathrm{~kg}$$ is going round a merry-go-round that makes 1 rotation in $$3.14 \mathrm{~s}$$. The radius of the merry-go-round is $$2 \mathrm{~m}$$. The centrifugal force on the child will be

A
50 N
B
80 N
C
100 N
D
40 N
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