1. a) If the mass of a block that is attached to an oscillating spring, on a hor

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

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.