# Sketch on figure 2 the variation of the total energy

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Sketch, onFigure 2, the variation of thetotalenergy of the massspring systemwith displacement.[2 marks]Question 1 continues on the next page
4*04*IB/M/Jan22/PH03Do not writeoutside theboxSpringXis replaced with an elastic stringYthat obeys Hooke’s law.Figure 3shows the load attached to the end ofY.Yhas negligible mass.Yhas an extension of42 mmwhen the load is at rest in its equilibrium position.Figure 30 1. 3The load is pulled20 mmvertically downwards below its equilibrium position.It is then released and oscillates with SHM.Show that the period of the oscillations is approximately0.4 s.[2 marks]The load onYis now pulled50 mmvertically downwards below its equilibrium positionand released.The movement of the load fulfils the conditions for SHM until the load reaches apositionP.When the load is atP, the elastic stringYis at its unstretched length.0 1. 4Calculate the velocity of the load atP.[3 marks]velocity=m s–1
5*05*Turn overIB/M/Jan22/PH03Do not writeoutside thebox0 1. 5The load continues to move upwards after reachingP.Explain why this movement abovePdoesnotfulfil the conditions for SHM.[2 marks]0 1. 6State whether springXor elastic stringYhas the greater stiffness.Explain your answer.[2 marks]Turn over for the next question15
6Do not writeoutside thebox0 2Drinking water is taken from an underground lake.The water contains small quantities of radioactive isotopes such as tritium()3H1.The decay of tritium has a half-life of12.3years.0 2. 1Water is unsafe to drink when its activity due to tritium decay is greaterthan7.6 × 107Bqper cubic metre of water.2.50 × 104m3of water from the lake contains1.1 × 1010tritium atoms.Deduce whether the amount of tritium in water from this lake makes it unsafe to drink.[3 marks]
*06*IB/M/Jan22/PH03

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Term
Spring
Professor
N/A
Tags
Magnetic Field, Lunar Prospector