SATHEE: Work Energy and Power - Result Question 59

Work Energy and Power - Result Question 59

62. A mass of $0.5 k g$ moving with a speed of $1.5 m /$ $s$ on a horizontal smooth surface, collides with a nearly weightless spring of force constant $k = 50 N / m$ . The maximum compression of the spring would be

[2004]

(a) $0.5 m$

(b) $0.15 m$

(d) $1.5 m$

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Answer:

Correct Answer: 62. (b)

Solution:

(b) $\frac{1}{2} m v^{2} = \frac{1}{2} k x^{2}$

$\Rightarrow m v^{2} = k x^{2}$

or $0.5 \times (1.5)^{2} = 50 \times x^{2}$

$∴ x = 0.15 m$

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Work Energy and Power - Result Question 59

62. A mass of 0.5kg moving with a speed of 1.5m/ s on a horizontal smooth surface, collides with a nearly weightless spring of force constant k=50N/m. The maximum compression of the spring would be

Answer:

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62. A mass of $0.5 k g$ moving with a speed of $1.5 m /$ $s$ on a horizontal smooth surface, collides with a nearly weightless spring of force constant $k = 50 N / m$ . The maximum compression of the spring would be