1
JEE Main 2022 (Online) 28th June Evening Shift
+4
-1

A block of mass 2 kg moving on a horizontal surface with speed of 4 ms$$-$$1 enters a rough surface ranging from x = 0.5 m to x = 1.5 m. The retarding force in this range of rough surface is related to distance by F = $$-$$kx where k = 12 Nm$$-$$1. The speed of the block as it just crosses the rough surface will be :

A
zero
B
1.5 ms$$-$$1
C
2.0 ms$$-$$1
D
2.5 ms$$-$$1
2
JEE Main 2022 (Online) 27th June Morning Shift
+4
-1

A system of two blocks of masses m = 2 kg and M = 8 kg is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is 0.5. The maximum horizontal force F that can be applied to the block of mass M so that the blocks move together will be :

A
9.8 N
B
39.2 N
C
49 N
D
78.4 N
3
JEE Main 2022 (Online) 26th June Morning Shift
+4
-1

A person is standing in an elevator. In which situation, he experiences weight loss?

A
When the elevator moves upward with constant acceleration
B
When the elevator moves downward with constant acceleration
C
When the elevator moves upward with uniform velocity
D
When the elevator moves downward with uniform velocity
4
JEE Main 2022 (Online) 24th June Evening Shift
+4
-1

An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10 N throughout the motion. The ratio of time of ascent to the time of descent will be equal to : [Use g = 10 ms$$-$$2].

A
1 : 1
B
$$\sqrt 2$$ : $$\sqrt 3$$
C
$$\sqrt 3$$ : $$\sqrt 2$$
D
2 : 3
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