17. [1pt] Answer True, False, or Cannot tell to each of the five statements belo

Question

17. [1pt] Answer True, False, or Cannot tell to each of the five statements below. E.g., if the answer to the first statement is true' and to the rest, cannot tell, enter TCCCC. a. A spring (constant k) is stretched d, a second spring (constant k/2) is stretched 2d. There is more PE stored in the second spring b. A particle with energy E, has a greater speed at B than at C. E1 E2 PE position c. A bobsled sliding on frictionless horizontal ice runs into a giant spring. A short time later, the spring reaches maximum compression. The graph represents the situation accurately. KE Spring PE position

Explanation / Answer

(a) First spring -

PE = (1/2)*k*d^2 = K1

Second spring -

PE = (1/2)(k/2)*(2d)^2 = (1/2)*2*k*d^2 = 2K1

So, more PE in second spring. Statement is TRUE.

(b) FALSE. At point B, energy is low so lower speed.

(c) TRUE. Spring PE increases with KE of the bob decreasing.

(d) TRUE. Less energy means less speed.

(e) TRUE. From the graph, it is clear that for the same amount of compression, larger force required for spring -2.

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