1
JEE Main 2023 (Online) 8th April Morning Shift
+4
-1 At any instant the velocity of a particle of mass $$500 \mathrm{~g}$$ is $$\left(2 t \hat{i}+3 t^{2} \hat{j}\right) \mathrm{ms}^{-1}$$. If the force acting on the particle at $$t=1 \mathrm{~s}$$ is $$(\hat{i}+x \hat{j}) \mathrm{N}$$. Then the value of $$x$$ will be:

A
2
B
4
C
6
D
3
2
JEE Main 2023 (Online) 1st February Evening Shift
+4
-1 As shown in the figure a block of mass 10 kg lying on a horizontal surface is pulled by a force F acting at an angle $$30^\circ$$, with horizontal. For $$\mu_s=0.25$$, the block will just start to move for the value of F : [Given $$g=10~\mathrm{ms}^{-2}$$] A
25.2 N
B
35.7 N
C
20 N
D
33.3 N
3
JEE Main 2023 (Online) 1st February Evening Shift
+4
-1 Figures (a), (b), (c) and (d) show variation of force with time. The impulse is highest in figure.

A
Fig (c)
B
Fig (d)
C
Fig (a)
D
Fig (b)
4
JEE Main 2023 (Online) 1st February Morning Shift
+4
-1 A block of mass $$5 \mathrm{~kg}$$ is placed at rest on a table of rough surface. Now, if a force of $$30 \mathrm{~N}$$ is applied in the direction parallel to surface of the table, the block slides through a distance of $$50 \mathrm{~m}$$ in an interval of time $$10 \mathrm{~s}$$. Coefficient of kinetic friction is (given, $$g=10 \mathrm{~ms}^{-2}$$):

A
0.25
B
0.75
C
0.60
D
0.50
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