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Class 11, Half Yearly –
Important Numerical Problems
1 1) A particle of mass 0.5 kg travels in a
straight line with velocity v=ax3/2 , where a 5 m-1/2 s-1
. What is the work done by the net force during its displacement from x=0 to
x=2 mtr?
2) A body of mass 6 kg is acted upon by a
force which causes a displacement in it given by x=t2/4 mtr., where
t=time in second. The work done by the force in 2 sec is :______________________________.
3 3) If a person can throw a stone to
maximum height of h meter vertically, then the maximum distance through which
it can be thrown horizontally by the same person is:
___________________________.
4) A particle is moving with a constant
speed V in a circle. What is the magnitude of avg velocity after half rotation?
5 5) A ball with MOI of 1.6, mass of 4 kg
and radius of 1 m rolls without slipping down an incline which is 10 mtrs high.
What is the speed of the ball when it reaches the bottom of the incline?
6 6) Three bodies a ring, a solid cylinder
and a solid sphere roll down the same inclined plane without slipping. They
start from rest. The radii of the bodies are same. Which of the bodies reaches
the ground with maximum velocity?
7 7) The time period of a satellite of
earth is 5 hours, if the separation between the earth and the satellite is
increased to 4 times the previous value, the new time period would
be__________________________.
8 8) A ball is thrown from a point with a
speed V0 at an angle of projection Ø.
From the same point and at the same instant, a person starts running with a
constant speed V0/2 to catch the ball. Will the person be able to
catch the ball? If yes, what should be the angle of projection?
9 9) A particle is projected at 600 to
the horizontal with a KE with a value K. The KE at the highest point
is______________________.
1 10)
The blocks A and B have equal masses and they are on the floor. The surface of A is
smooth but that of B has a friction coeff of 0.1 with the floor. Block A is
moving at a speed of 10 m/s towards B which is kept at rest. Find the distance
travelled by B if (a) the collision is perfectly elastic and (b) the collision
is perfectly inelastic. g=10 m/s2.
(Refp54)
11) A particle moves along the x axis from
x=0 to x=5 m under the influence of a force F (in N) given by F=3x2-2x+7.Calculate
the work done.
(Refp57)
1 12) A uniform chain of length L and mass M
is lying on a smooth table and one third of its length is hanging vertically
down over the edge of the table. What is the work required to pull the hanging
part on to the table?
1 13) Calculate the distance below and above
the surface of the earth, at which the value of acceleration due to gravity
becomes ¼ th that at earth’s surface?
1 14) The planet Pluto is on average 40
times as far from the sun as the earth is. What is Pluto’s orbital period in
years?
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