1. a) If the mass of a block that is attached to an oscillating spring, on a hor
ID: 1443531 • Letter: 1
Question
1. a) If the mass of a block that is attached to an oscillating spring, on a horizontal friction-less surface, is magically increased while at a point of maximum displacement, how will the maximum kinetic energy and the period of oscillation change?
b) If a train is moving towards you at some speed v, and is emitting a whistle with frequency f, how does the frequency as heard by you compare to f?
c) What is the minimum equipment required to determine the spring constant of a spring, in addition to a stopwatch?
d) How can you determine the average speed of a point on a string that has a transverse wave travelling through it?
Explanation / Answer
a.) The total energy remains the same. So the maximum Kinetic energy also remains the same.
0.5m (v1)2 = 0.5 M (v2)2 So, v2 should be less than v1. which means maximum velocity will decrease.
T = 2 (m/k)1/2 Since the time period is directly proportional to the mass, the time period increases with increase in the mass, whereas the Maximum Kinetic energy remains constant.
b.) You will hear a higher frequency than the actual frequency f if the train is moving towards you. The same effect will be just reversed (that is you'll hear a lower frequency) if the train is moving away from you.
c.) T = 2 (m/k)1/2 from this formula, to find out the unknown k, we need m and T. T can be measured with a stopwatch. And all you need is a block of known mass or a block of unknown mass and a weighing machine to measure the weight of it.
d.) In one time period, any point on a transverse wave goes up and down and comes back to its position. For examples a point on a crest moves all the way to the trough point and then comes back to its initial position. To do this it takes a time of one period. And the distance travelled by it is 4 times te Amplitude A.
So, Average speed s = 4A / T
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