A block of mass 2 kg is attached to one end of a massless spring whose other end is fixed at a wall. The sprin…

Question

A block of mass **$$2 \, 	ext{kg}$$** is attached to one end of a massless spring whose other end is fixed at a wall. The spring-mass system moves on a frictionless horizontal table. The spring's natural length is **$$2 \, 	ext{m}$$** and spring constant is **$$200 \, 	ext{N/m}$$**. The block is pushed such that the length of the spring becomes **$$1 \, 	ext{m}$$** and then released. At distance $$x$$ m ($$x \leq 2$$) from the wall, the speed of the block will be:

Accepted Answer

C. $$10 \left[ 1 - (2 - x)^2 ight]^{1/2} \, 	ext{m/s}$$

Answer

A. $$10 \left[ 1 - (2 - x)^2 ight] \, 	ext{m/s}$$

Answer

B. $$10 \left[ 1 - (2 - x)^2 ight]^{3/2} \, 	ext{m/s}$$

Answer

D. $$10 \left[ 1 - (2 - x)^2 ight]^2 \, 	ext{m/s}$$

Answer & step-by-step solution

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