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Hookes law practice - Law | Học viện Tòa án

A'spring'with'a'spring'constant'of'600.'N/m'is'used'for'a'scale'to'weigh'fish.''What'is'the'mass'of'a'fish'that'would'stretch'the'spring'by'7.5'cm'from'its'normal'length? Tài liệu giúp bạn tham khảo, ôn tập và đạt kết quả cao. Mời bạn đọc đón xem!

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Hookes law practice - Law | Học viện Tòa án

26 13 lượt tải Tải xuống

HOOKE’S'LAW'PRACTICE'

(Answers'below)'

Force Spring'Constant'x'Extension'=' '

1. What'force'is'necessary'to'stretch'an'ideal'spring'with'a'spring'constant'of'120'N/m'by'

30'cm?'

2. A'spring'with'a'spring'constant'of'600.'N/m'is'used'for'a'scale'to'weigh'fish.''What'is'the'

mass'of'a'fish'that'would'stretch'the'spring'by'7.5'cm'from'its'normal'length?'

3. A'spring'in'a'pogo-stick'is'compressed'12'cm'when'a'40.'k girl'stands'on'it.''What'i the'g' s'

spring'constant'for'the'pogo-stick'spring?'

4. A'spring'is'connected'to'a'wall'and'a'horizontal'force'of'80.0'N'is'applied.''It'stretches'25'

cm,'what'is'its'spring'constant?'

5. A'spring'stretches'8.0'cm'when'a'13'N'force'is'applied.''How'far'does'it'stretch'when'a'

26'N'is'applied?'

6. A'7.3'kg'mass'is'placed'on'a'spring'with'a'spring'constant'of'34'N/cm.''How'much'does'

this'stretch'the'spring?'

7. m' An'elastic'cord'is'80.'c long'when'it'is'supporting'a'mass'of'10.'kg'hanging'from'it'at'

rest.''When'an'additional'4.0'kg'is'added,'the'cord'is'82.5'cm'long.''What'is'the'spring'

constant?'

8. What'is'the'original'length'of'the'cord'(with'no'mass)'in'question'7?'

9. A'spring'with'a'spring'constant'of'50.'N/m'is'hanging'from'a'stand.''A'second'spring'with'

a'spring'constant'of'100.'N/m'is'hanging'from'the'first'spring.''How'far'do'they'stretch'if'

a'0.50'kg'is'hung'from'the'bottom'spring?'

10. What'is'the'spring'constant'of'the'system'of'springs'in'question'9?'

HOOKE’S'LAW'Answers'

1. F'='kx'='120.'N/m'x'0.30'm'='36'N'

2. F'='kx'='mg' 'm'='kx/g'='600.'N/m'x'0.075'm'/'10'N/kg'='4.5' 'à kg

3. 40.' F'='kx'='mg' 'k'='mg/x'='à K x'10'N/kg'/'0.12'm'='3300'N/m'g'

4. F'='kx' 'k'='F/x'='80.'N'/'0.25'cm'='320'N/m'à

5. F'='kx' 'k'='F '='F /x 'x '='x '='8.0'cm'x'26'N'/'13'N'='16'cm'à

1 2 2

'à

2 1

6. F'='kx'='mg' 'x'='mg/k'='7.3'kg'x'10'N/kg'/'34'N/cm'='2.1'cm'='0.021'm'à

7. F'='kx'='mg' 'k'='mg/x'='4.0'kg'x'10'N/kg'/'0.0025'm'='1600'N/m'à

8. m' 6. F'='kx'='mg' 'x'='mg/k'='10'kg'x'10'N/kg'/'1600'N/m'='6.25'cm;'80.'cà –' 25'cm'='74'

cm'

9. 0.50'kg'x'10'N/kg'/'50 0.50'kg'x'10'N/kg'/' F'='kx'='mg' 'x'='mg/k '+'mg/k '='(à

1 2

.' )'+'(N/m

10 0.15'm0.' )'='N/m '

10. F'='kx'='mg' 'k'='mg/x'='0.50'kg'x'10'N/kg'/'0.15'm'='33'N/m'à

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HOOKE’S'LAW'PRACTICE' (Answers'below)' '
Force'='Spring'Constant'x'Extension' '
1. What'force'is'necessary'to'stretch'an'ideal'spring'with'a'spring'constant'of'120'N/m'by' 30'cm?' ' '
2. A'spring'with'a'spring'constant'of'600.'N/m'is'used'for'a'scale'to'weigh'fish.''What'is'the'
mass'of'a'fish'that'would'stretch'the'spring'by'7.5'cm'from'its'normal'length?' ' '
3. A'spring'in'a'pogo-stick'is'compressed'12'cm'when'a'40.'kg girl'stands'on'it.''What'i ' s'the'
spring'constant'for'the'pogo-stick'spring?' ' '
4. A'spring'is'connected'to'a'wall'and'a'horizontal'force'of'80.0'N'is'applied.''It'stretches'25'
cm,'what'is'its'spring'constant?' ' '
5. A'spring'stretches'8.0'cm'when'a'13'N'force'is'applied.''How'far'does'it'stretch'when'a' 26'N'is'applied?' ' '
6. A'7.3'kg'mass'is'placed'on'a'spring'with'a'spring'constant'of'34'N/cm.''How'much'does' this'stretch'the'spring?' ' '
7. An'elastic'cord'is'80.'cm'long'when'it'is'supporting'a'mass'of'10.'kg'hanging'from'it'at'
rest.''When'an'additional'4.0'kg'is'added,'the'cord'is'82.5'cm'long.''What'is'the'spring' constant?' ' '
8. What'is'the'original'length'of'the'cord'(with'no'mass)'in'question'7?' ' '
9. A'spring'with'a'spring'constant'of'50.'N/m'is'hanging'from'a'stand.''A'second'spring'with'
a'spring'constant'of'100.'N/m'is'hanging'from'the'first'spring.''How'far'do'they'stretch'if'
a'0.50'kg'is'hung'from'the'bottom'spring?' ' '
10. What'is'the'spring'constant'of'the'system'of'springs'in'question'9?' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' HOOKE’S'LAW'Answers'
1. F'='kx'='120.'N/m'x'0.30'm'='36'N'
2. F'='kx'='mg'à'm'='kx/g'='600.'N/m'x'0.075'm'/'10'N/kg'='4.5'k ' g
3. F'='kx'='mg'à'k'='mg/x'='40.'Kg x'10'N/kg'/'0.12'm'='3300'N/m' '
4. F'='kx'à'k'='F/x'='80.'N'/'0.25'cm'='320'N/m'
5. F'='kx'à'k'='F1/x1'='F2/x2'à'x2'='x1F2/F1'='8.0'cm'x'26'N'/'13'N'='16'cm'
6. F'='kx'='mg'à'x'='mg/k'='7.3'kg'x'10'N/kg'/'34'N/cm'='2.1'cm'='0.021'm'
7. F'='kx'='mg'à'k'='mg/x'='4.0'kg'x'10'N/kg'/'0.0025'm'='1600'N/m'
8. F'='kx'='mg'à'x'='mg/k'='10'kg'x'10'N/kg'/'1600'N/m'='6.25'cm;'80.'cm'–'6.25'cm'='74' cm'
9. F'='kx'='mg'à'x'='mg/k1'+'mg/k2'='(0.50'kg'x'10'N/kg'/'50.'N/m 0 )'+'( .50'kg'x'10'N/kg'/' 100.'N/ )'=' m 0.15'm'
10. F'='kx'='mg'à'k'='mg/x'='0.50'kg'x'10'N/kg'/'0.15'm'='33'N/m'