NZQA Level 3 Physics 2023 Past Paper PDF

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91524 915240 DO NOT DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS AREA DO NOT WRITE IN T H IS AREA D WR ITE IN T IS AR H DO NOT WRITE IN T H IS AREA D EA D O N O NOT WRITE D O N O NOT WRITE OT WRIT O T O NOT WRITE O NOT WRITE W R ITE I IN THIS AREA E I N T H I S A RE IN THIS AREA O NOT WRITE A IN THIS AREA IN THIS AREA N THIS AREA SUPERVISOR’S USE ONLY 3 Draw a cross through the box ( ) if you have NOT written in this booklet + DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O N OT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA NO T W RITE IN EA D O N OT W RITE IN DO T H IS AR THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O N O T W R E A D O N OT WRIT D ITE IN T IS AR E IN THIS AREA H Level 3 Physics 2023 O NOT W R I EA D O NOT WRITE A D TE IN T H IS AR I N T H I S A RE O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA 91524 Demonstrate understanding of mechanical systems O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT W R EA D O NOT WRITE D ITE IN T H IS AR IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O N OT W RITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA DO NOT WRITE IN T H IS AREA D Credits: Six DO NOT WRITE IN T H IS AREA D O NOT WRITE O NOT WRITE IN THIS AREA IN THIS AREA N OT W RITE IN EA D O N OT W RITE IN DO T H IS AR THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA Achievement Achievement with Merit DO NOT WRITE IN T H IS AREA D O NOT WRITE O NOT WRITE IN THIS AREA Achievement with Excellence DO NOT WRITE IN T H IS AREA D IN THIS AREA Demonstrate understanding of Demonstrate in-depth understanding of DO NOT WRITE IN T H IS AREA D O N O O NOT WRITE T W RITE IN THIS AREA Demonstrate comprehensive DO NOT WRITE IN T H IS AREA D IN THIS AREA mechanical systems. D O NOT W R I mechanical systems. TE IN T H IS AREA D O NOT WRITE I N T H I S A REA understanding of mechanical systems. O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA Check that the National Student Number (NSN) on your admission slip is the same as the number at the DO NOT WRITE IN T H IS AREA D O NOT WRITE IN THIS AREA N OT W top of this page. N OT W RITE IN A D O RI T DO T H IS AR E E IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D You should attempt ALL the questions in this booklet. IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA D O N O T W R DO NOT WRITE IN T H IS AREA ITE I N THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D Make sure that you have Resource Booklet L3–PHYSR. IN THIS AREA O NOT W R IT EA D O NOT WRITE A D E IN T H IS AR I N T H I S A RE O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE In your answers use clear numerical working, words, and / or diagrams as required. DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA Numerical answers should be given with an appropriate SI unit. O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT W R EA D O NOT WRITE D ITE IN T H IS AR IN THIS AREA O NOT WRITE If you need more room for any answer, use the extra space provided at the back of this booklet. DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D Check that this booklet has pages 2–12 in the correct order and that none of these pages is blank. IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE Do not write in any cross-hatched area ( D O N OT W R ). This area will be cut off when the booklet is marked. DO NOT WRITE IN T H IS AREA D ITE IN T IS AREA DO N H IN THIS AREA OT WRIT E IN THIS AREA NO T W RITE IN EA D O NO T WR ITE IN DO T H IS AR THIS AREA O NOT WRITE YOU MUST HAND THIS BOOKLET TO THE SUPERVISOR AT THE END OF THE EXAMINATION. DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA NO T W RITE IN A D O NO T W RI TE IN DO T H IS AR E THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT W RITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA DO NOT WR © New Zealand Qualifications Authority, 2023. All rights reserved. DO N WRITE OT ITE I IN T H IS AREA N THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA No part of this publication may be reproduced by any means DO NOT WRITE IN without AREA DO NOT Wthe RITE prior Epermission IN AR A of the New Zealand Qualifications Authority. THIS T HIS O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA NOT W RITE IN A D O NO T WR ITE IN DO T H IS AR E THIS AREA O NOT WRITE DO NOT WRITE IN T H IS AREA D IN THIS AREA  DO NOT WRITE IN DO NOT WRITE IN T H I DO NOT WRITE IN T H IS DO NOT WRITE IN T H IS AREA 2 DO NOT WRITE IN T H IS AREA D O NO O NOT WRITE DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN QUESTION ONE: HORIZONTAL AND VERTICAL CIRCLES DO NOT WRITE IN T H IS O NOT WRITE IN EA T H IS AR RITE IN EA DO NOT T H IS AR Tane has a toy car track set. Part of the track is a horizontal DO NOT WRITE IN DO NOT WRITE IN banked curve and part of it has a vertical loop. For this question, DO NOT WRITE IN T H I assume that sideways friction on the tyres is negligible. The toy DO NOT WRITE IN T H IS ARE OT WRITE IN T H IS AREA DO car has a mass of 0.120 kg. TE IN T H IS AREA DO T WRITE NOT WR IN T H IS AREA DO N DO NOT WRITE IN T H I DO NOT WRITE IN T H IS ARE OT WRITE DO IN T H IS AREA NOT WR TE IN T H IS AREA DO DO NOT WRITE IN DO NOT WRITE IN T H IS DO NOT WRITE IN T H IS AR NOT WRITE D IN T H IS AREA RITE IN EA DO NOT T H IS AR DO NOT WRIT IN T H IS AREA (a) On the diagram below, draw a vector diagram to identify DO NOT WRITE IN T H IS AREA D O Source: www.walmart.ca/en/ip/hot- the net force that is responsible for the car going in a wheels-massive-loop-mayhem-track-set- DO NOT WRITE IN T H IS AR DO NOT WRITE IN T H IS AREA D horizontal circle along the banked curve. Label the net multi/6000203404407 DO NOT WRITE IN T H IS AREA D NOT W DO O NOT A DO NOT WRIT RITE IN E T H IS AR force. DO NOT WRITE IN T H I S DO NOT WRITE IN T H IS AR DO NOT WRITE IN T H IS AREA ON DO NOT WRITE IN T H IS AREA D If you DO NOT WRITE IN T H IS AREA D O NOT WR need to O WRITE DO N T T IS R E IN H A A E DO OT N redraw your O WRITE DO N T A T IS R IN H A O WRITE DO N T E A T IS R IN H A response, use O WRITE T IS RE DO DO N T IN H A A N the diagramO WRITE D O OT W N R DO N T T IS R E IN H A A O WRITE DO N T E DO OT W I A N RT on page 9. T IS R IN H A O WRITE DO N T T IS R IN H A DO NOT WRITE IN DO NOT WRITE IN T H DO NOT WRITE IN T H IS A Source: www.shutterstock.com/image-vector/red-sports-car-front-view-156275714 DO NOT WRITE IN T H IS AREA O NO DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS A O DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS A (b) The banked curve of the car track has a radius of 0.750 m. DO NOT WRITE IN T H IS AREA O NO DO NOT WRITE IN T H IS AREA D O NOT DO NOT WRITE IN T H IS AREA D Calculate the angle of banking when there is no sideways friction on the wheels of the car as it DO NOT WRITE IN T H DO NOT WRITE IN goes around the banked curve at 1.55 m s–1. DO NOT WRITE IN T H I DO NOT WRITE IN T H IS AR DO NOT WRITE IN T H IS AREA O NO DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS AR O DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS AR DO NOT WRITE IN T H IS AREA O NO DO NOT WRITE IN T H IS AREA D O NOT DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H I DO NOT WRITE IN DO NOT WRITE IN T H DO NOT WRITE IN T H IS A DO NOT WRITE IN T H IS AREA O NO DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS A The diagram below is a simplified version of the vertical circular loop that makes up part of the car O DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS A track. DO NOT WRITE IN T H IS AREA O NO DO NOT WRITE IN T H IS AREA D O NOT DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H DO NOT WRITE IN T H If you need to O WRITE O WRITE DO N T T IS IN H A DO N T T IS R E IN H A A redraw your O WRITE T IS RE DO DO N T A View from the side DO OT W IN H A response to WRITE OT WISR RE O N DO N T IN H A A ITE DO N T T IS R E A part (c), use O WRITE T IS RE DO O IN H A N DO N T IN H A A the diagram on O WO WRITE T IS RDEO DO N T IN H A A RITEDO N T RE A page 9. O WRITE T IS RTE IS DO OT W IN H A N DO N T IN H A A O NOT WRI DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS A DO NOT WRITE IN DO NOT WRITE IN T H DO NOT WRITE IN T H IS A DO NOT WRITE IN T H IS AREA OT EA DO NO Physics 91524, 2023 DO N W RITE IN T H IS AR DO NOT WRITE IN T H IS A O DO NOT WRITE IN T H IS AREA D OT  A DO NOT WRITE IN N T H IS ARE THIS AREA EA DO NOT WRITE IN T IS AREA IS AR H A D O NOT W RITE I S ARE N THIS AREA DO NOT WRITE IN THIS AREA OT WRIT E IN THIS AREA 3 E IN THIS AREA A DO NOT WRITE IN N T H IS ARE THIS AREA S ARE A DO NOT WRITE IN DO NOT WRITE (c) THIS AREA Explain why the person sitting in a car on an actual roller coaster would feel heavier at the IN THIS AREA T WRIT E IN THIS AREA bottom of the loop compared to the top of the loop. A DO NOT WRITE IN N T H IS ARE THIS AREA THIS AR E A DO NOT WRITE IN THIS AREA Begin your answer by drawing labelled vectors in the diagram at the bottom of the opposite EA DO NOT WRITE IN T IS AREA IS AR EA DO NOT WRITE IN T IS AREA O NOT WRITE H H page, to represent the forces acting on the car when it is at the top of the loop AND when it is at RITE IN THIS AREA IN THIS AREA the bottom of the loop. NOT WRITE IN THIS AREA EA DO NOT WRITE IN T IS AREA IS AR H EA DO NOT WRITE IN T IS AREA H O NOT WRITE A I N T H I S A RE RITE IN THIS AREA A DO NOT WRITE IN N T H IS ARE THIS AREA EA DO NOT WRITE IN S AR THIS AREA O NOT WRITE REA D IN THIS AREA DO NOT WRITE IN THIS AREA T WRIT E IN THIS AREA TE IN THIS AREA O NOT WRITE IN THIS AREA O NOT WRITE REA D IN THIS AREA DO NOT WRITE IN THIS AREA T WRIT E IN THIS AREA TE IN THIS AREA A DO NOT WRITE IN S ARE THIS AREA E A D O NOT WRITE R IN THIS AREA DO NOT WRITE IN THIS AREA NOT WRITE IN THIS AREA RITE IN THIS AREA DO NOT WRITE IN THIS AREA WRITE IN THIS AREA DO NOT WRITE IN THIS AREA NOT WRITE IN THIS AREA RITE IN THIS AREA TE IN THIS AREA O NOT WRITE REA D IN THIS AREA A DO NOT WRITE IN N T H IS ARE THIS AREA E A DO NOT WRITE HIS AR IN THIS AREA DO NOT WRITE AREA IN THIS AREA DO NOT WRITE OT WRIT (d) IN THIS AREA The toy car of mass 0.120 kg approaches the vertical circular loop of radius 0.250 m. E IN THIS AREA DO NOT WRITE View from th AREA IN THIS AREA O NOT WRITE IN THIS AREA DO NOT WRITE AREA IN THIS AREA DO NOT WRITE OT WRIT IN THIS AREA Calculate the speed with which the car must approach the bottom of the loop to be able to go around E IN THIS AREA T WRIT E IN THIS AREA H IS AR EA DO NOT WRITE IN T IS AREA N T H IS ARE A DO NOT WRITE IN H THIS AREA the vertical circular loop, such that the car seems IS AR E A D O NO O NOT WRITE T WR ITE IN THIS AREA weightless at the top of the loop. REA D IN THIS AREA DO NOT WRITE IN THIS AREA OT WRIT E IN THIS AREA O NOT WRITE REA D IN THIS AREA O NOT WRITE IN THIS AREA O NOT WRITE REA D IN THIS AREA DO NOT WRITE IN THIS AREA OT WRIT E IN THIS AREA WRITE IN THIS AREA EA DO NOT WRITE IN T IS AREA IS AR H A DO NOT WRITE IN N T H IS ARE THIS AREA EA DO NOT WRITE IN T IS AREA H IS AR H DO NOT WRITE AREA IN THIS AREA DO NOT WRITE IN THIS AREA OT WRIT E IN THIS AREA DO NOT WRITE AREA IN THIS AREA O NOT WRITE IN THIS AREA DO NOT WRITE AREA IN THIS AREA DO NOT WRITE IN THIS AREA OT WRIT E IN THIS AREA T WRIT E IN THIS AREA EA DO NOT WRITE IN T IS AREA H IS AR H E A DO NOT WRITE IN HIS AR THIS AREA DO NOT WRITE AREA IN THIS AREA A DO NOT WRITE IN THIS AREA NOT WRITE IN THIS AREA WRITE IN THIS AREA A DO NOT WRITE IN THIS AREA OT WRIT E IN THIS AREA A DO NOT WRITE IN THIS AREA O NOT WRITE IN THIS AREA WRITE IN THIS AREA ITE I N THIS AREA DO NOT WRITE AREA IN THIS AREA A DO NOT WRITE IN N T H IS ARE THIS AREA EA DO NOT WRITE IN T IS AREA H IS AR H DO NOT WRITE AREA IN THIS AREA DO NOT WRITE IN THIS AREA OT WRIT E IN THIS AREA DO NOT WRITE Physics 91524, 2023 AREA IN THIS AREA O NOT WRITE IN THIS AREA DO NOT WR  DO NOT WRITE IN DO NOT WRITE IN T H I DO NOT WRITE IN T H IS DO NOT WRITE IN T H IS AREA 4 DO NOT WRITE IN T H IS AREA D O NO O NOT WRITE DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN QUESTION TWO: ROTATIONAL MOTION DO NOT WRITE IN T H IS O NOT WRITE IN EA T H IS AR RITE IN EA DO NOT T H IS AR Tane works weekends unloading barrels. In one instance he rolls an empty barrel of mass 5.50 kg and DO NOT WRITE IN DO NOT WRITE IN radius 0.280 m, down a ramp that is 1.34 m high. The linear speed of the barrel when it reaches the DO NOT WRITE IN T H I bottom of the ramp is 3.40 m s–1. DO NOT WRITE IN T H IS ARE OT WRITE IN T H IS AREA DO NOT WR TE IN T H IS AREA DO T WRITE DO N IN T H IS AREA DO NOT WRITE IN T H I DO NOT WRITE IN T H IS ARE OT WRITE DO IN T H IS AREA NOT WR TE IN T H IS AREA DO DO NOT WRITE IN DO NOT WRITE IN T H IS DO NOT WRITE IN T H IS AR NOT WRITE D IN T H IS AREA RITE IN EA DO NOT T H IS AR 1.34 m IN T H IS AREA DO NOT WRIT O DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS AR DO NOT WRITE IN T H IS AREA D O NOT DO NOT WRITE IN T H IS AREA D O NOT WRIT DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS (a) Describe the energy changes that take place as the barrel rolls down the ramp. DO NOT WRITE IN T H IS AR DO NOT WRITE IN T H IS AREA ON DO NOT WRITE IN T H IS AREA D O NOT WR DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS AREA O NOT DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS AREA ON DO NOT WRITE IN T H IS AREA D O NOT WR DO NOT WRITE IN T H IS AREA D O NOT WRIT DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS AR (b) Calculate the rotational inertia of the barrel. DO NOT WRITE IN DO NOT WRITE IN T H Begin your answer by calculating: DO NOT WRITE IN T H IS A DO NOT WRITE IN T H IS AREA O NO DO NOT WRITE IN T H IS AREA D the gravitational potential energy at the top DO NOT WRITE IN T H IS A O DO NOT WRITE IN T H IS AREA D the angular velocity of the barrel as it reaches the bottom of the ramp. DO NOT WRITE IN T H IS A DO NOT WRITE IN T H IS AREA O NO DO NOT WRITE IN T H IS AREA D Assume no energy is lost due to friction. DO NOT WRITE IN T H IS AREA D O NOT DO NOT WRITE IN T H DO NOT WRITE IN DO NOT WRITE IN T H I DO NOT WRITE IN T H IS AR DO NOT WRITE IN T H IS AREA O NO DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS AR O DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS AR DO NOT WRITE IN T H IS AREA O NO DO NOT WRITE IN T H IS AREA D O NOT DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H I DO NOT WRITE IN DO NOT WRITE IN T H DO NOT WRITE IN T H IS A DO NOT WRITE IN T H IS AREA O NO DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS A O DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS A DO NOT WRITE IN T H IS AREA O NO DO NOT WRITE IN T H IS AREA D O NOT DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H DO NOT WRITE IN T H DO NOT WRITE IN T H IS A DO NOT WRITE IN T H IS AREA O DO NOT WRITE IN T H IS AREA D O NOT W DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS AREA O NO DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS AREA O DO NOT WRITE IN T H IS AREA D O NOT W DO NOT WRITE IN T H IS AREA D O NOT WRI DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS A DO NOT WRITE IN DO NOT WRITE IN T H DO NOT WRITE IN T H IS A DO NOT WRITE IN T H IS AREA OT EA DO NO Physics 91524, 2023 DO N W RITE IN T H IS AR DO NOT WRITE IN T H IS A O DO NOT WRITE IN T H IS AREA D OT  A DO NOT WRITE IN N T H IS ARE THIS AREA EA DO NOT WRITE IN T IS AREA IS AR H A D O NOT W RITE I S ARE N THIS AREA DO NOT WRITE IN THIS AREA OT WRIT E IN THIS AREA 5 E IN THIS AREA A DO NOT WRITE IN N T H IS ARE THIS AREA S ARE A DO NOT WRITE IN DO NOT WRITE Tane then sits on a swivelling stool, holding a full bottle of water THIS AREA IN THIS AREA T WRIT E IN THIS AREA in each hand. He notices that when he holds the bottles with his N T H IS ARE E arms outstretched, he tends to spin more slowly, as compared to A DO NOT WRITE IN A DO NOT WRITE IN THIS AREA AR THIS AREA when he brings his arms inwards, close to his body. THIS EA DO NOT WRITE IN T IS AREA IS AR H EA DO NOT WRITE IN T IS AREA H O NOT WRITE IN THIS AREA (c) Explain the reason for this observation. RITE IN THIS AREA NOT WRITE IN THIS AREA EA DO NOT WRITE IN T IS AREA IS AR H EA DO NOT WRITE IN T IS AREA H O NOT WRITE A I N T H I S A RE RITE IN THIS AREA A DO NOT WRITE IN N T H IS ARE THIS AREA EA DO NOT WRITE IN S AR THIS AREA O NOT WRITE REA D IN THIS AREA DO NOT WRITE IN THIS AREA T WRIT E IN THIS AREA TE IN THIS AREA O NOT WRITE IN THIS AREA Source: www.exploratorium.edu/snacks/ REA D O NOT WRITE DO NOT WRITE IN THIS AREA momentum-machine IN THIS AREA T WRIT E IN THIS AREA TE IN THIS AREA A DO NOT WRITE IN S ARE THIS AREA E A D O NOT WRITE R IN THIS AREA DO NOT WRITE IN THIS AREA NOT WRITE IN THIS AREA RITE IN THIS AREA DO NOT WRITE IN THIS AREA WRITE IN THIS AREA DO NOT WRITE IN THIS AREA NOT WRITE IN THIS AREA RITE IN THIS AREA TE IN THIS AREA O NOT WRITE REA D IN THIS AREA A DO NOT WRITE IN N T H IS ARE THIS AREA E A DO NOT WRITE HIS AR IN THIS AREA DO NOT WRITE AREA IN THIS AREA DO NOT WRITE IN THIS AREA OT WRIT E IN THIS AREA (d) Tane spins with an angular velocity of 3.00 rad s–1 when his arms are outstretched. When he DO NOT WRITE AREA O NOT WRITE IN THIS AREA IN THIS AREA brings his arms in, he reaches an angular velocity of 7.00 rad s–1 in a time of 4.50 s. DO NOT WRITE AREA IN THIS AREA DO NOT WRITE IN THIS AREA OT WRIT T WRIT E IN THIS AREA Calculate: E IN THIS AREA H IS AR EA DO NOT WRITE IN T IS AREA N T H IS ARE A DO NOT WRITE IN H THIS AREA his angular acceleration NO T W the number of revolutions made in this time. E A D O R ITE IN IS AR THIS AREA O NOT WRITE REA D IN THIS AREA DO NOT WRITE IN THIS AREA OT WRIT E IN THIS AREA O NOT WRITE REA D IN THIS AREA O NOT WRITE IN THIS AREA O NOT WRITE REA D IN THIS AREA DO NOT WRITE IN THIS AREA OT WRIT E IN THIS AREA WRITE IN THIS AREA EA DO NOT WRITE IN T IS AREA IS AR H A DO NOT WRITE IN N T H IS ARE THIS AREA EA DO NOT WRITE IN T IS AREA H IS AR H DO NOT WRITE AREA IN THIS AREA DO NOT WRITE IN THIS AREA OT WRIT E IN THIS AREA DO NOT WRITE AREA IN THIS AREA O NOT WRITE IN THIS AREA DO NOT WRITE AREA IN THIS AREA DO NOT WRITE IN THIS AREA OT WRIT E IN THIS AREA T WRIT E IN THIS AREA EA DO NOT WRITE IN T IS AREA H IS AR H E A DO NOT WRITE IN HIS AR THIS AREA DO NOT WRITE AREA IN THIS AREA A DO NOT WRITE IN THIS AREA NOT WRITE IN THIS AREA WRITE IN THIS AREA A DO NOT WRITE IN THIS AREA OT WRIT E IN THIS AREA A DO NOT WRITE IN THIS AREA O NOT WRITE IN THIS AREA WRITE IN THIS AREA ITE I N THIS AREA DO NOT WRITE AREA IN THIS AREA A DO NOT WRITE IN N T H IS ARE THIS AREA EA DO NOT WRITE IN T IS AREA H IS AR H DO NOT WRITE AREA IN THIS AREA DO NOT WRITE IN THIS AREA OT WRIT E IN THIS AREA DO NOT WRITE Physics 91524, 2023 AREA IN THIS AREA O NOT WRITE IN THIS AREA DO NOT WR  DO NOT WRITE IN DO NOT WRITE IN T H I DO NOT WRITE IN T H IS DO NOT WRITE IN T H IS AREA 6 DO NOT WRITE IN T H IS AREA D O NO O NOT WRITE DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN QUESTION THREE: SIMPLE HARMONIC MOTION DO NOT WRITE IN T H IS O NOT WRITE IN EA T H IS AR RITE IN EA DO NOT T H IS AR Tanya is studying the motion of a toy bouncing up and down at the end of a DO NOT WRITE IN DO NOT WRITE IN spring that is hanging from the ceiling. The spring has a spring constant of DO NOT WRITE IN T H I 24.6 N m–1. DO NOT WRITE IN T H IS ARE OT WRITE IN T H IS AREA DO NOT WR TE IN T H IS AREA DO Tanya draws an acceleration against displacement graph, as shown below, T WRITE IN T H IS AREA DO N of the toy on the spring that is bouncing up and down in simple harmonic DO NOT WRITE IN T H I DO NOT WRITE IN T H IS ARE motion. OT WRITE DO IN T H IS AREA NOT WR TE IN T H IS AREA DO DO NOT WRITE IN DO NOT WRITE IN T H IS DO NOT WRITE IN T H IS AR Source: www.ponylane.co.nz/ NOT WRITE IN THIS AREA D Acceleration (m s ) –2 DO NOT products/hanging-spring-toy- RITE IN THIS ADROEANOT WR EA IT turtle IN T H I S AR 30 DO NOT WRITE REA D O IN T H I S A DO NOT WRITE IN T H IS AR DO NOT WRITE IN T H IS AREA D O NOT DO NOT WRITE IN T H IS AREA D 20 DO NOT WRITE IN T H IS AREA D O NOT WRIT DO NOT WRITE IN T H IS DO NOT WRITE IN T H IS AR 10 DO NOT WRITE IN T H IS AREA DO NOT WRITE IN T H IS AREA D ON O NOT WR DO NOT WRITE IN T H IS AREA D DO NOT WRITE IN T H IS AREA Displacement (m) O NOT DO NOT WRITE IN T H IS AREA D –0.03 –0.02 –0.01 0.01 0.02 0.03 DO NOT WRITE IN T H IS AREA DO NOT WRITE IN T H IS AREA D ON O NOT WR DO NOT WRITE IN T H IS AREA D –10 DO NOT WRITE IN T H IS AREA D O NOT WRIT DO NOT WRITE IN T H IS AR DO NOT WRITE IN DO NOT WRITE IN T H –20 DO NOT WRITE IN T H IS A DO NOT WRITE