1
JEE Main 2022 (Online) 25th July Morning Shift
+4
-1

A body of mass $$0.5 \mathrm{~kg}$$ travels on straight line path with velocity $$v=\left(3 x^{2}+4\right) \mathrm{m} / \mathrm{s}$$. The net workdone by the force during its displacement from $$x=0$$ to $$x=2 \mathrm{~m}$$ is :

A
64 J
B
60 J
C
120 J
D
128 J
2
JEE Main 2022 (Online) 29th June Evening Shift
+4
-1

In the given figure, the block of mass m is dropped from the point 'A'. The expression for kinetic energy of block when it reaches point 'B' is

A
$${1 \over 2}mg\,{y_0}^2$$
B
$${1 \over 2}mg\,{y^2}$$
C
$$mg(y - {y_0})$$
D
$$mg{y_0}$$
3
JEE Main 2022 (Online) 29th June Morning Shift
+4
-1

A particle of mass 500 gm is moving in a straight line with velocity v = b x5/2. The work done by the net force during its displacement from x = 0 to x = 4 m is : (Take b = 0.25 m$$-$$3/2 s$$-$$1).

A
2 J
B
4 J
C
8 J
D
16 J
4
JEE Main 2022 (Online) 26th June Evening Shift
+4
-1

In the arrangement shown in figure a1, a2, a3 and a4 are the accelerations of masses m1, m2, m3 and m4 respectively. Which of the following relation is true for this arrangement?

A
4a1 + 2a2 + a3 + a4 = 0
B
a1 + 4a2 + 3a3 + a4 = 0
C
a1 + 4a2 + 3a3 + 2a4 = 0
D
2a1 + 2a2 + 3a3 + a4 = 0
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