•
.
i •: NARAYANA EDUCATIONAL SOCIETY
Ill!
. , ....,... . . STAR SUPER CHAINA CAMPUS ,
Plot no:38,39 & 43.44 MILANO'rOWER, KHANAMET HITEX ROAD,MADHAPu R,HYD-84
Sec: JR(JI-0) SAT-2 Date: 13.07.23
Topic: WORK ENERGY THEOREM Suh: PHYSICS
F'10d th ass of the largest box that a 40 hp engine can
e ma level road at 15 m/s if the friction coefficient
l. pu11 a 1ong String is given an additional extension of 2a in vertical
downward direction by pulling the mass and released
• between road and box is 0.15.
fro~ re~t. Find the maximum height reached by it
2 A 1300 kg car.is to accelerate from rest to a speed of 30.0 during its subsequent motion above point of release.
(Neglect interaction with peg if any).
• mIsin
• a ti'me of 12•0 s as it climbs
. a. 15.0° hill. Assuming
.
uniform acceleration, what mm1mum horsepower 18
11. A particle of mass 1 kg is given a horizontal velocity of 4
eeded to accelerate the car in the way?
mis along a horizontal surface, with which it has a
particle is
moving in x direction, under the influence coefficient of friction (both static and kinetic) of 0.4. The
Y !fexternal
force F = sin
agent in
Find the work done by another
1t 1tx.
particle strikes a fixed ideal spring of force constant 6
N/m after travelling a distance of 0.25 m. Assume
slowly moving a particle from x = O to
x=0.5 m. acceleration due to gravity is 10 m/s2. Find the final
displacement of the particle from its starting point.
4. A particle moves in a circle of radius R with a constant
t-
speed v. Find the magnitude of average acceleration 4m/s rtOmta'
.
during a time mterva1 -,. R . §7;;4
2v f.-0.2Sm-..i
5./In the figure shown, pulley and spring are ideal. Find 12. A particle Pis sliding down a frictionless hemispherical
J the potential energy stored in the spring (m > m ).
1 2
bowl. It passes the point A at t =0. At this instant of
time, the horizontal component of its velocity is v. A bead
Q of the same mass as P is ejected from A at t =0 along
the horizontal string AB, with the speed v. Friction
between the bead and the string may be neglected.
Which bead reaches point B earlier?
A Q V B
pv
pz
6. A spring of mass m is pulled such that a given instant,
velocity of both of its end is v in the opposite direction. 13. The blocks, each of mass 2 kg shown are in equilibrium.
Find the kinetic energy of the spring. At t =0 right spring in fig (a) and right string in fig (b)
breaks. Find the ratio of instantaneous acceleration of
v~ blocks?
YA force F = -k(xi + y]) [where k is a positive c~nstant]
acts on a particle moving in the x-y plane. Starting from
origin, the particle is taken to (a, a) and then to ( :k, 0) (a) 2 kg
. Find the total work done by the force Fon the particle.
8. A bead of mass m is attached to one end of a spring of
natural length and spring constant k
(../3 +l)mg
R =
The
other end of the spring is fixed at point A on a smooth
(b)
V 2 kg
14. A body is lifted slowly over route I and route II such that
fixed vertical ring of radius R as shown in the figu~.
.force is always tangent to the path. Coefficient of friction
What is the normal reaction at B just after the bead 1s
released? is.same for both the paths. Work done
H T
,.
! ___ ------------
(a) On both routes is same ~.
9. Water is JJUmped from a depth of 10 m and dhel~vheredf
through a pipe of cross section 10-2 m 2 up to a e1g to (b) On route I is more
lO m. If ii is needed to deliver a volume 0.2 m3 per
Hec.ond, find the power required. [Use g 10 m/s2] = (c) On route II is more
10. A particle of mass m is hanging with the help_ of an (d) On both routes is zero
elastic at.ring of unstretched length a and force constant
!!!J!... The other end is fixed to a peg on vertical wall.
(1,
1 'h e o r e
-
~---
nergy
----
E
_
·1 , . .
I W o r k -
go2a.01 .13~ 111
Answers
1 .
1.4 xl0 kg 6. - m v2
3
1. 6 7
11. - r n
12
2. 132hp
7. -ka,2/4 12. P
3. - l J
2 8.
2.,[2 v 13.
4. 24
nR
9. 80kW
14. (A)
2m,12g2
6. 10. 9 a /2
k
