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 $0.5 \times(1.5)^{2}=50 \times x^{2}$
$\therefore x=0.15 m$
