Work Energy and Power - Result Question 59

62. A mass of $0.5 kg$ 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) $0.15 m$

(c) $0.12 m$

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

$\therefore x=0.15 m$