SATHEE: Work Energy and Power - Result Question 21

Work Energy and Power - Result Question 21

24. When a long spring is stretched by $2 c m$ , its potential energy is $U$ . If the spring is stretched by $10 c m$ , the potential energy stored in it will be

(a) $25 U$

(b) $U / 5$

(c) $5 U$

(d) $10 U$

[2003]

Show Answer

Answer:

Correct Answer: 24. (a)

Solution:

(a) If $k$ be the spring constant, then

$U = \frac{1}{2} \times k \times (2)^{2} = 2 k$

$U_{final} = \frac{1}{2} \times k \times (10)^{2} = 50 k$

$\Rightarrow \frac{U}{U_{final}} = \frac{2 k}{50 k} = \frac{1}{25}$

$\Rightarrow U_{final} = 25 U$

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Work Energy and Power - Result Question 21

24. When a long spring is stretched by 2cm, its potential energy is U. If the spring is stretched by 10cm, the potential energy stored in it will be

Answer:

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24. When a long spring is stretched by $2 c m$ , its potential energy is $U$ . If the spring is stretched by $10 c m$ , the potential energy stored in it will be