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125 © 2015 Doc Fizzix Products, Saving the world with his knowledge of science Name Period Date Doc Fizzix ([DPSOH 3UREOHPV 0DVV DQG :HLJKW Chapter 5 Newton’s First Law of Motion Example Problems 5.1 Mass and Weight Example 1: 2QH SRXQG LV HTXDO WR NJ ÀUVW FDOFXODWH \RXU PDVV LQ NLORJUDPV WKHQ ÀQG \RXU ZHLJKW LQ 1HZWRQV Write the formula and show your work Example 2: $Q $IULFDQ HOHSKDQW FDQ UHDFK D KHLJKW RI IHHW DQG SRVVHVV D PDVV RI DV PXFK DV NJ 'HWHUPLQH WKH ZHLJKW RI DQ $IULFDQ HOHSKDQW LQ 1HZWRQV Write the formula and show your work What are the givens and unknowns? W = m = g = ([DPSOH $ NJ PDVV KDQJV IURP D PDVVOHVV URSH DWWDFKHG WR WKH FHLOLQJ ÀQG WKH WHQVLRQ LQ WKH URSH Write the formula and show your work What are the givens and unknowns? W = m = g =

Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

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Page 1: Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

125

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Name Period Date

Doc Fizzix ([DPSOH�3UREOHPV�������0DVV�DQG�:HLJKW

Chapter 5 Newton’s First Law of Motion

Example Problems5.1 Mass and Weight�� Example 1: ��2QH�SRXQG�LV�HTXDO�WR�������NJ��ÀUVW�FDOFXODWH�\RXU�PDVV�LQ�NLORJUDPV�WKHQ�ÀQG�\RXU�ZHLJKW�LQ�1HZWRQV�

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�� Example 2: �$Q�$IULFDQ�HOHSKDQW�FDQ�UHDFK�D�KHLJKW�RI����IHHW�DQG�SRVVHVV�D�PDVV�RI�DV�PXFK�DV������NJ��'HWHUPLQH�WKH�ZHLJKW�RI�DQ�$IULFDQ�HOHSKDQW�LQ�1HZWRQV�

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m =

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g =

�� ([DPSOH�����$�����NJ�PDVV�KDQJV�IURP�D�PDVVOHVV�URSH�DWWDFKHG�WR�WKH�FHLOLQJ��ÀQG�WKH�WHQVLRQ�LQ�WKH�URSH�

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Page 2: Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

126

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Chapter 5 Newton’s First Law of Motion

�� ([DPSOH������<RXU�QHZ�PRWRUF\FOH�ZHLJKV������1��ZKDW�LV�LWV�PDVV�LQ�NLORJUDPV"

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�� ([DPSOH������<RX�DUH�VWDQGLQJ�RQ�D�VFDOH�RQ�WKH�VXUIDFH�RI�WKH�(DUWK�DQG�LW�UHDGV�����1��&DOFXODWH�\RXU�PDVV�DQG�WKHQ�FDOFXODWH�\RXU�ZHLJKW�RQ�WKH�PRRQ�ZKHUH�WKH�DFFHOHUDWLRQ�RI�JUDYLW\�LV������P�Vò��:KDW�ZRXOG�\RXU�PDVV�EH�RQ�WKH�PRRQ"

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�� Example 6: ��<RX�WUDYHO�WR�D�GLVWDQFH�SODQHW�DQG�SODFH�D����NJ�PRQNH\�RQ�D�VSULQJ�VFDOH��,I�WKH�VFDOH�UHDGV������1��ZKDW�LV�WKH�DFFHOHUDWLRQ�GXH�WR�JUDYLW\�RQ�WKLV�SODQHW"

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Page 3: Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

127

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Chapter 5 Newton’s First Law of Motion

Student Problems5.1 Mass and WeightYOU MUST SHOW ALL WORK! (Formulas, plug in numbers, answer boxed, units)

1. 2QH�SRXQG�LV�HTXDO�WR�������NLORJUDPV���8VLQJ�\RXU�RZQ�ZHLJKW�LQ�SRXQGV�FDOFXODWH�\RXU�PDVV�LQ�NLORJUDPV�

a) �XQLWV

2. 7KH� DFFHOHUDWLRQ� RI� JUDYLW\� RQ� (DUWK� YDULHV� GHSHQGLQJ� XSRQ� \RXU� ORFDWLRQ�� � 7KH�DYHUDJH�YDOXH�IRU�WKH�DFFHOHUDWLRQ�RI�JUDYLW\�DW�VHD�OHYHO�LV�����P�V�8VLQJ�\RXU�PDVV�LQ�NLORJUDPV�WKDW�\RX�FDOFXODWHG�DERYH��FDOFXODWH�\RXU�ZHLJKW�LQ�QHZWRQV�XVLQJ�WKH�DYHUDJH�YDOXH�IRU�WKH�DFFHOHUDWLRQ�RI�JUDYLW\�

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Page 4: Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

128

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Chapter 5 Newton’s First Law of Motion

4. $V�\RX�PRYH�DZD\�IURP�WKH�VXUIDFH�(DUWK�WKH�DFFHOHUDWLRQ�RI�JUDYLW\�FKDQJHV���$W�WKH�WRS�RI�0W�(YHUHVW�WKH�DFFHOHUDWLRQ�RI�JUDYLW\�LV�RQO\�����RI�ZKDW�LW�LV�DW�VHD�OHYHO�RU�RQO\������P�V�&DOFXODWH�WKH�ZHLJKW�LQ�QHZWRQV�RI�D���NJ�PDVV�DW�WKH�WRS�RI�0W�(YHUHVW"

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Page 5: Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

129

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Chapter 5 Newton’s First Law of Motion

6. 7KH�DFFHOHUDWLRQ�RI�JUDYLW\�RQ�WKH�PRRQ��LV�������RI�ZKDW�LW�LV�RQ�(DUWK�RU�RQO\������P�Vò��&DOFXODWH�WKH�ZHLJKW�LQ�QHZWRQV�RI�D���NJ�PDVV�SODFHG�RQ�D�VFDOH�RQ�WKH�VXUIDFH�RI�WKH�PRRQ"

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7. 8VLQJ� \RXU�PDVV� WKDW� \RX� FDOFXODWHG� LQ� SUREOHP���� DQG� WKH� DFFHOHUDWLRQ� RQ� WKH�VXUIDFH�RI�WKH�PRRQ��FDOFXODWH�\RXU�ZHLJKW�LQ�QHZWRQV�LI�\RX�ZHUH�WR�VWDQG�RQ�WKH�VXUIDFH�RI�WKH�PRRQ�

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Page 6: Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

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Chapter 5 Newton’s First Law of Motion

8. 2Q�WKH�VXUIDFH�RI�0DUV��D���NJ�PDVV�LV�SODFHG�RQ�D�VFDOH�DQG�LW�UHDGV������1���:KDW�LV�WKH�DFFHOHUDWLRQ�RI�JUDYLW\�RQ�0DUV"�

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9. 8VLQJ�\RXU�PDVV�IURP�SUREOHP�����DQG�WKH�DFFHOHUDWLRQ�RI�JUDYLW\�\RX�MXVW�FDOFXODWHG�IRU�0DUV��ÀQG�\RXU�ZHLJKW�LQ�QHZWRQV�LI�\RX�ZHUH�WR�VWDQG�RQ�WKH�VXUIDFH�RI�0DUV"

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Page 7: Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

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Chapter 5 Newton’s First Law of Motion

10. 2Q�WKH�VXUIDFH�RI�-XSLWHU�D���NJ�PDVV�KDV�D�ZHLJKW�RI�������1��ZKDW�LV�WKH�DFFHOHUDWLRQ�RI�JUDYLW\�RQ�-XSLWHU"

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11. 8VLQJ�\RXU�PDVV�IURP�SUREOHP�����DQG�WKH�DFFHOHUDWLRQ�RI�JUDYLW\�\RX�MXVW�FDOFXODWHG�IRU�-XSLWHU��ÀQG�\RXU�ZHLJKW�LQ�QHZWRQV�LI�\RX�ZHUH�WR�VWDQG�RQ�WKH�VXUIDFH�RI��-XSLWHU"

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Page 8: Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

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Chapter 5 Newton’s First Law of Motion

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Page 9: Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

133

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Chapter 5 Newton’s First Law of Motion

Example Problems5.2 Hooke’s Law�� Example 1: ��$�PRQNH\��VWUHWFKHV�D�VSULQJ�IURP�LWV�UHVWLQJ�SRVLWLRQ�D�GLVWDQFH�RI�����P��,I�WKH�VSULQJ�FRQVWDQW�LV�N� �����1�P��ZKDW�LV�WKH�IRUFH�EHLQJ�H[HUWHG�RQ�WKH�UXEEHU�EDQG"

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�� Example 2: �:KDW�IRUFH�LV�QHFHVVDU\�WR�VWUHWFK�DQ�LGHDO�VSULQJ�ZKRVH�IRUFH�FRQVWDQW�LV�����1�P�E\�DQ�DPRXQW�RI������P"

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�� ([DPSOH������$�VSULQJ�ZLWK�D�FRQVWDQW�RI�����1�P�LV�XVHG�RQ�D�VFDOH�IRU�ZHLJKLQJ�ÀVK��:KDW�LV�WKH�PDVV�RI�D�ÀVK�WKDW�VWUHWFKHV�WKH�VSULQJ�E\�������P�IURP�LWV�QRUPDO�OHQJWK"

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Page 10: Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

134

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Chapter 5 Newton’s First Law of Motion

�� ([DPSOH������,I�D�VSULQJ�LV�VWUHWFKHG�D�GLVWDQFH�RI������P�ZLWK�D�IRUFH�RI����1��ZKDW�LV�WKH�YDOXH�RI�WKH�VSULQJ�FRQVWDQW�N"

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�� ([DPSOH������$�VSULQJ�LQ�D�SRJR�VWLFN�LV�FRPSUHVVHG������P�ZKHQ�D����NJ�JLUO�VWDQGV�RQ�WKH�VWLFN��:KDW�LV�WKH�VSULQJ�FRQVWDQW�IRU�WKH�SRJR�VWLFN�VSULQJ"

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�� Example 6: ��$�PDVV�RI�����NJ�LV�KDQJLQJ�IURP�D�VSULQJ�ZKLFK�GHIRUPV�E\�������P��:KDW�LV�WKH�VSULQJ�FRQVWDQW�N"

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Page 11: Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

135

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�� ([DPSOH������,I�WKH�VSULQJ�FRQVWDQW�N�RI�D�SRJR�VWLFN�LV������1�P�DQG�WKH�ZHLJKW�RI�WKH�SHUVRQ�RQ�WKH�SRJR�VWLFN�LV�����1��KRZ�PXFK�LV�WKH�VSULQJ�LQ�WKH�ERWWRP�RI�WKH�SRJR�VWLFN�FRPSUHVVHG"

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�� ([DPSOH������$�VSULQJ��N� �����1�P��LV�DWWDFKHG�WR�DQ�REMHFW�RI�PDVV� ����NJ��,I�WKH�REMHFW�LV�KXQJ�IURP�WKH�FHLOLQJ�E\�WKLV�VSULQJ��KRZ�PXFK�ZRXOG�WKH�VSULQJ�EH�VWUHWFKHG"

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Doc Fizzix ([DPSOH�3UREOHPV�������+RRNH·V�/DZ

Chapter 5 Newton’s First Law of Motion

Page 12: Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

136

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Chapter 5 Newton’s First Law of Motion

Page 13: Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

137

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Chapter 5 Newton’s First Law of Motion

Student Problems5.2 Hooke’s LawYOU MUST SHOW ALL WORK! (Formulas, plug in numbers, answer boxed, units)

14. 7KH�KDV�D�VSULQJ�FRQVWDQW�RI�����1�P��,I�\RX�VWUHWFK�WKH�VSULQJ������P�KRUL]RQWDOO\�WR�WKH�ULJKW��DQG�KROG�LW�PRWLRQOHVV��ZKDW�IRUFH�GRHV�WKH�VSULQJ�H[HUW�RQ�\RXU�KDQG"

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Page 14: Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

138

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Chapter 5 Newton’s First Law of Motion

16. $�VSULQJ�VFDOH�WKDW�KDV�D�VSULQJ�FRQVWDQW�RI���1�P��:KHQ�DQG�REMHFW�LV�SODFHG�RQ�WKH�VFDOH�WKH�VSULQJ�VWUHWFKHV������P��ZKDW�LV�WKH�ZHLJKW�DQG�WKH�PDVV�RI�WKH�REMHFW"

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17. $�VSULQJ�ZLWK�D�VSULQJ�FRQVWDQW�RI�����1�P�KDV�D�PDVV�VXVSHQGHG�RQ�LW�HQG��7KH�VSULQJ�VWUHWFKHV������P���&DOFXODWH�KRZ�PXFK�PDVV�WKH�VSULQJ�LV�VXSSRUWLQJ��

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Page 15: Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

139

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Chapter 5 Newton’s First Law of Motion

18. $�VSULQJ�KDV� D� VSULQJ� FRQVWDQW� RI� ����1�P��:KDW� VL]H�PDVV� VKRXOG�EH� DGGHG� WR�VWUHWFK�WKH�VSULQJ�H[DFWO\�����PHWHUV"

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19. $����NJ�PRQNH\�VWDQGV�RQ�D�SRJR�VWLFN�DQG�FRPSUHVVHV�LW������P��:KDW�LV�WKH�VSULQJ�FRQVWDQW�IRU�WKH�SRJR�VWLFN�VSULQJ"

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Page 16: Chapter 5 Newton’s First Law of Motion Example Problems · Chapter 5 Newton’s First Law of Motion Student Problems 5.2 Hooke’s Law YOU MUST SHOW ALL WORK! (Formulas, plug in

140

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Chapter 5 Newton’s First Law of Motion

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Substitute the known values and solve.

Write the formula you are usingWhat are the givens and unknowns?

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F =

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k =

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6x =

a) �XQLWV