1
JEE Main 2021 (Online) 27th July Evening Shift
+4
-1
Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is : [ where K.E. = kinetic energy ]
A
at x > x4 K.E. is constant throughout the region.
B
at x < x1, K.E. is smallest and the particle is moving at the slowest speed.
C
at x = x2, K.E. is greatest and the particle is moving at the fastest speed.
D
at x = x3, K.E. = 4 J.
2
JEE Main 2021 (Online) 27th July Evening Shift
+4
-1
An automobile of mass 'm' accelerates starting from origin and initially at rest, while the engine supplies constant power P. The position is given as a function of time by :
A
$${\left( {{{9P} \over {8m}}} \right)^{{1 \over 2}}}{t^{{3 \over 2}}}$$
B
$${\left( {{{8P} \over {9m}}} \right)^{{1 \over 2}}}{t^{{2 \over 3}}}$$
C
$${\left( {{{9m} \over {8P}}} \right)^{{1 \over 2}}}{t^{{3 \over 2}}}$$
D
$${\left( {{{8P} \over {9m}}} \right)^{{1 \over 2}}}{t^{{3 \over 2}}}$$
3
JEE Main 2021 (Online) 22th July Evening Shift
+4
-1
A porter lifts a heavy suitcase of mass 80 kg and at the destination lowers it down by a distance of 80 cm with a constant velocity. Calculate the work done by the porter in lowering the suitcase.

(take g = 9.8 ms$$-$$2)
A
+627.2 J
B
$$-$$62720.0 J
C
$$-$$627.2 J
D
784.0 J
4
JEE Main 2021 (Online) 20th July Evening Shift
+4
-1
A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time 't' is proportional to :
A
$${t^{{3 \over 2}}}$$
B
$${t^{{1 \over 2}}}$$
C
$${t^{{1 \over 4}}}$$
D
$${t^{{3 \over 4}}}$$
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