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A sample of argon gas was cooled, and its volume went from 380.mℓ to 250.mℓ. If its final temperature was −45.0◦C, what was its original temperature?

A 4.5 kg dog stands on an 18 kg flatboat at distance D=6.1 m from the shore. It walks 2.4 m along the boat toward shore and then stops. Assuming no friction between the boat and the water, find how far the dog is then from the shore.


A tube 1.20 m long is closed at one end. A stretched wire is placed near the open end. The wire is 0.330 m long and has a mass of 9.60 g. It is fixed at both ends and oscillates in its funda- mental mode. By resonance, it sets the air column in the tube into oscillation at that column’s fundamental frequency. Find (a) that frequency and (b) the tension in the wire.


A physical therapist gone wild has constructed the (station- ary) assembly of massless pulleys and cords seen in Fig. 12-24. One long cord wraps around all the pulleys, and shorter cords suspend pulleys from the ceiling or weights from the pulleys. Except for one, the weights (in newtons) are indicated. (a) What is that last weight? (Hint: When a cord loops halfway around a pulley as here, it pulls on the pulley with a net force that is twice the tension in the cord.) (b) What is the tension in the short cord labeled T?


A wheel is rotating freely at angular speed 800 rev/min on a shaft whose rotational inertia is negligible. A sec- ond wheel, initially at rest and with twice the rotational inertia of the first, is suddenly coupled to the same shaft. (a) What is the angular speed of the resultant combination of the shaft and two wheels? (b) What fraction of the original rotational kinetic energy is lost?


A wheel is rotating freely at angular speed


800 rev/min on a shaft whose rotational inertia is negligible. A second wheel, initially at rest and with twice the rotational inertia of the

first, is suddenly coupled to the same shaft. (a) What is the angular

speed of the resultant combination of the shaft and two wheels?

(b) What fraction of the original rotational kinetic energy is lost?


A train starts from rest and travel with uniform acceleration 0.5ms-2 for 20 secs. It then moved with the velocity it has acquired for another 30secs. The brakes are then applied and it decelerate to rest in further 10 secs. Draw the velocity time graph of the motion of the train.Using the graph, determine the retardation as the train is being brought to rest.




Determine the total distance covered by the train.

Consider the following arbitrary fields. Find out which of them can possibly represent electrostatic or magnetostatic field in free space: (a) A =ycos ara, + (y + e X)e: (b) B = 20 #, (c) C = r2 sin 0 a0'

1. Explain the definition of Vector Addition

1. Explain the definition of force and motion



2. Explain about first and second Newton's Laws

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