In the figure, a 5.00 - kg block is moving at 5.00 m/s along a horizontal fricti

Question

In the figure, a 5.00 - kg block is moving at 5.00 m/s along a horizontal frictionless surface toward an ideal massless spring that is attached to a wall. After the block collides with the spring, the spring is compressed a maximum distance of 0.80 m. What is the spring constant? A) 414 N/m B) 102 N/m C) 240 N/m D) 195 N/m A 1.50 - kg stone is released from rest and falls toward Earth. After 5.0 s, the magnitude momentum is: A) 73.5 kg middot m/s B) 58.2 kg middot m/s C) 39.5 kg middot m/s D) 0 kg middot m/s

Explanation / Answer

16) KE of the block = PE of the spring

0.5mv^2 = 0.5kx^2

5*5^2 = k*0.8^2

k = 195.3125 N/m

so option D) 195 N/m is the correct answer

17) v = u + gt

v = 0 + 9.8*5 = 49 m/s

momentum after 5s = mv = 49*1.5 = 73.5 kg m/s

so option a) is the correct answer

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