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Class 11
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Work Done by a Variable Force
Work Done by a Variable Force
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Work Done by a Variable Force
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Work Done by a Variable Force - Problem L1
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Work done by a Variable Force
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Work done by a Variable Force
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Important Questions
The upper half of an inclined plane of inclination
$θ$
is perfectly smooth while the lower half rough. A block starting from rest at the top of the plane will again come to rest at the bottom if the coefficient of friction between the block and the lower half of the plane is given by.
Hard
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>
A position dependent force
$F=7−2x+3x_{2}$
newton (where x is in meter) on a small body of mass 2 Kg & displace it from
$x=0$
to
$x=5$
m. Calculate the work done.
Medium
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>
A bullet fired into a fixed target loses half of its velocity after penetrating
$3cm$
. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion ?
Medium
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>
Consider a drop of rain water having mass
$1g$
falling from a height of
$1km$
. It hits the ground with a speed of
$50m/s$
. Take '
$g$
' constant with a value
$10m/s_{2}$
. The work done by the (i) gravitational force the (ii) resistive force of airs is:
Hard
NEET
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>
$300J$
of work is done in sliding a
$2kg$
block up an inclined plane of height
$10m$
. The work done against friction is (Take
$g=10m/s$
$_{2}$
)
Medium
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>
A body of mass
$6kg$
is under a force which causes displacement in it given by
$S=4t_{2} $
metres where
$t$
is time. The work done by the force in
$2$
seconds is:-
Medium
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>
Derive the formula for kinetic energy.
Medium
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>
A force acts on a
$3$
g particle in such a way that the position of the particle as a function of time is given by
$x=3t−4t_{2}+t_{3}$
, where
$x$
is in meters and
$t$
is in seconds. The work done during the first
$4$
second is :
Medium
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>
A body of mass 3 kg is under a constant force which causes a displacement s in metres in it,given by the relation
$s=21 t_{2}$
, where t is in seconds. Work done by the force in 2 seconds is:-
Medium
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>
A particle moves along the x- axis from x=0 to x=5 m under the influence of a force given by
$F=7−2x+3x_{2}$
.Work done in the process is
Medium
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>