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200 Puzzling Physics Problems: with Hints and Solutions [EXP-4786]
200 SOLVED PROBLEMS
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Question: P.106
A long, heavy, flexible rope with mass ρ per unit length is stretched by a constant force F. A sudden movement causes a circular loop to form at one end of the rope. In a manner similar to that in which transverse waves propagate, the loop runs (rolls) along the rope with speed c as shown in the
Verified Answer:
(i) Examine the motion of the loop in the frame of...
Question: P.189
^7Be is a radioactive element with a half-life of 53.37 days. When isotope 7 of beryllium is heated to a few thousand degrees, its half-life changes. What is the explanation for this?
Verified Answer:
Even if atoms are heated to a few thousand degrees...
Question: P.170
(i) Sketch qualitatively, as a function of x = w/w0, the magnitude of the current drawn from the source by the two circuits shown in the figure; here w0= (LC)-1/2. (ii) Using three or more of the components shown in figure (a), construct five new circuits, each of which shows current resonance
Verified Answer:
(i) These circuits are tricky to analyse using dif...
Question: P.17
(i) What is the minimum launch speed required to put a satellite into a circular orbit? (ii) How many times higher is the energy required to launch a satellite into a polar orbit than that necessary to put it into an Equatorial one? (iii) What initial speed must a space probe have if it is to leave
Verified Answer:
(i) The acceleration of a satellite moving at spee...
Question: P.178
A ‘twisted’ circular band (called a Moebius strip) is made from a strip of paper of length L and width d. A wire running along the edge of the strip is connected to a voltmeter, as shown in the figure. What does the voltmeter register when the strip is placed in a homogeneous magnetic field which
Verified Answer:
Consider two touching discs each of radius
...
Question: P.140
A 0.6-kg block of ice at -10 °C is placed into a closed empty 1 m^3 container, also at a temperature of -10 °C. The temperature of the container is then increased to 100 °C. How much greater is the heat required than that necessary to raise the empty container alone to that temperature?
Verified Answer:
Consider first the state of the ice and the pressu...
Question: P.155
A battery consists of N identical cells, each of e.m.f. ε. Is it true that the energy wasted when using the battery to charge a capacitor through a resistor can be reduced by charging it in N stages? That is by connecting it first across a single cell, and then across two cells, and so on, rather
Verified Answer:
The energy ultimately stored in the capacitor is [...
Question: P.14
A bicycle is supported so that it is prevented from falling sideways but can move forwards or backwards; its pedals are in their highest and lowest positions. A student crouches beside the bicycle and applies a horizontal force, directed towards the back wheel, to the lower pedal. (i) Which way
Verified Answer:
(i) The bicycle moves in the direction of the net ...
Question: P.94
A billiard ball rolling without slipping hits an identical, stationary billiard ball in a head-on collision. Describe the motion of the balls after the collision. Prove that the final state does not depend on the coefficient of sliding friction between the balls and the billiard table. (Rolling
Verified Answer:
Friction between the two balls is negligible, and ...
Question: P.3
A boat can travel at a speed of 3 m s^-1 on still water. A boatman wants to cross a river whilst covering the shortest possible distance. In what direction should he row with respect to the bank if the speed of the water is (i) 2 m s^-1, (ii) 4 m s^-1? Assume that the speed of the water is the
Verified Answer:
(i) The shortest path is one perpendicular to the ...
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