Physics For advanced level students By T.M.Ramanan, B.Sc in physics

1. Advance level Physics T.M.Ramanan, B.Sc (Hons) in Physics
Monthly Examination- February 2016
Mechanics
g=10Nkg-1
Time: 1hour
1. Two objects of mass m1 and m2, with m2 > m1, are connected by a light, inextensible cord
and hangover a frictionless pulley, Cord and pulley have negligible mass. Find the magnitude
of the acceleration of the system and the tension in the cord.
2. A train is traveling with a speed of 15.0 m/s relative to Earth. A passenger standing at the rear
of the train pitches a baseball with a speed of 15.0 m/s relative to the train off the back end, in
the direction opposite the motion of the train. What is the velocity of the baseball relative to
Earth?
3. A man weighs a fish with a spring scale attached to the ceiling of an elevator. While the
elevator is at rest, he measures a weight of 40.0 N. What weight
does the scale read if the elevator accelerates upward at 2.00
ms-2
?
4. A block with mass m1 is4.00 kg and a ball with mass m2 is 7.00
kg are connected by a light string that passes over a frictionless
pulley, as shown in Figure. The coefficient of kinetic friction
between the block and the surface is 0.300.
a. Find the acceleration of the two objects by using the
system approach.
b. Find the tension in the string.
5. A powerful grasshopper launches itself at an angle of 45°
above the horizontal and rises to a maximum height of 1.00 m
during the leap. (See Figure) With what speed vi did it leave
the ground? (Neglect air resistance)
6. A 0.400-kg bead slides on a curved wire, starting from rest at
point A in Figure. If the wire is frictionless, find the speed of the
bead at B and at C.
7. The ballistic pendulum is a device used to measure
the speed of a fast-moving projectile such as a bullet.
The bullet is fired into a large block of wood
suspended from some light wires. The bullet is
stopped by the block, and the entire system swings up
to a height h. It is possible to obtain the initial speed
of the bullet by measuring h and the two masses. As
an example of the technique, assume that the mass of
the bullet, m1, is 5.00 g, the mass of the pendulum,
m2, is 1.000 kg, and h is 5.00 cm. Find the initial
speed of the bullet, v1i .

2. Advance level Physics T.M.Ramanan, B.Sc (Hons) in Physics
8. A 3.00-kg steel ball strikes a massive wall at 10.0 m/s at an angle of 60.0° with the plane of
the wall. It bounces off the wall with the same speed and angle. If the ball is in contact with
the wall for 0.200 s, what is the average force exerted by the wall on the ball?
9. A ball of mass M and radius R starts from rest at a height of 2.00 m and rolls down a 300
slope. What is the linear speed of the ball when it leaves the incline? (Assume that the ball
rolls without slipping)
10. An airplane has wings, each with area 4.00 m2
, designed so that air flows over the top of the
wing at 245 m/s and underneath the wing at 222 m/s. Find the mass of the airplane such that
the lift on the plane will support its weight, assuming the force from the pressure difference
across the wings is directed straight upwards.