Question

Two springs with the same unstretched length L = 20cm but different force constants k1 = k = 9N / m and k2 = 2k = 18N / m are attached to a block with mass m = 1kg on a level, frictionless surface. The springs are connected (1) in parallel and (2) in series as shown in the figure. Find the effective force constant for the parallel connection Kp and for the series connection Ks of the springs. The block is pulled to distance s1 = 2cm from its initial equilibrium state in the system of parallel springs , and to s2 = 1cm in the system of series springs. Using the obtained values for the effective force constants, find the ratio of the works W1 and W2, done by the external force to stretch the springs of these two spring systems. A) W1/W2=18 B) W1/W2=9 C) W1/W2=6 D) W1/W2=1/18 E) W1/W2=1/12

          Two springs with the same unstretched length L = 20cm but different force constants k1 = k = 9N / m and k2 = 2k = 18N / m are attached to a block with mass m = 1kg on a level, frictionless surface. The springs are connected (1) in parallel and (2) in series as shown in the figure. Find the effective force constant for the parallel connection Kp and for the series connection Ks of the springs. The block is pulled to distance s1 = 2cm from its initial equilibrium state in the system of parallel springs , and to s2 = 1cm in the system of series springs. Using the obtained values for the effective force constants, find the ratio of the works W1 and W2, done by the external force to stretch the springs of these two spring systems. A) W1/W2=18 B) W1/W2=9 C) W1/W2=6 D) W1/W2=1/18 E) W1/W2=1/12

Two springs with the same unstretched length L = 20cm but different force constants k1 = k = 9N / m and k2 = 2k = 18N / m are attached to a block with mass m = 1kg on a level, frictionless surface. The springs are connected (1) in parallel and (2) in series as shown in the figure. Find the effective force constant for the parallel connection Kp and for the series connection Ks of the springs. The block is pulled to distance s1 = 2cm from its initial equilibrium state in the system of parallel springs , and to s2 = 1cm in the system of series springs. Using the obtained values for the effective force constants, find the ratio of the works W1 and W2, done by the external force to stretch the springs of these two spring systems. A) W1/W2=18 B) W1/W2=9 C) W1/W2=6 D) W1/W2=1/18 E) W1/W2=1/12

Added by Kristin J.

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