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1) For a certain plane wave traveling through air, the maximum value of the excess or

acoustic pressure is 0.1 dyne cm-2. If the frequency is 1000 cycles sec-1, and the

density of air is 1.29 X10-3 gcm-3, find:

(i) the maximum particle displacement.

(ii) the maximum particle velocity.

(iii) the maximum condensation.

(iv) the maximum dilatation.

2) Two plane waves are traveling along the x-axis. The particle displacements due to

the separate waves are given by

Z1 = Zm cos k(-x + ct):

Z2 = -Zm cos k(x + ct):

For the two waves, at the position x = 0, find the relative phase of

(i) Z1 compared with Z2.

(ii) velocity of Z1 compared with velocity of Z2.

(iii) p1 compared with p2.


A force of 20N pulls two carts tied together with a string. The carts with masses 3kg and 4kg, respectively, run on a smooth level surface. Find :



a. The acceleration of the 4kg cart.



b. The acceleration of the 3kg cart.



c. The tension on the string connecting the two carts.




If X = Y – Z, which diagram best represents the vector Z?


A muscle builder holds the ends of a massless rope. At the center of the rope,

a 15-kg ball is hung as shown. What is the tension in the rope if the angle θ in the drawing is 4.5° from the horizontal?



A 15.0-kg load of bricks hangs from one end of an inextensible rope that passes

over a small, frictionless pulley. A 28.0-kg counterweight is suspended from the

other end of the rope. The system is released from rest. What is the magnitude of

the acceleration of the system? What is the tension acting on the rope?



A gas in an insulated cylinder with a movable piston is compressed adiabatically and 100J of work is done in the process. The gas is then allowed to expand adiabatically while doing 10J of work. What is the net change in internal energy?

A 25-centavo coin is dropped from the top of a 5.0-m high building. 20.0 seconds later, a 10-peso coin is dropped from the same point where the first coin was dropped. After how many seconds will it take the 10-peso coin to hit the ground?


a ball is projected horizontally from the top of a vertical building 25m above the ground level with an initial velocity of 8.25m/s.

a. how long is the ball in flight before hiiting the ground

b. how far from the building does the ball strike the ground


. A ball is failing form a height of 20m, with what velocity does it touch the ground?

At what altitude must a military plane flying horizontally at 1.75m/s be in order to deliver relief goods to typhoon yolanda survivors? The survivors are in an evacuation center 1750m away from where the plane is.

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