Two springs have the same unstretched length but different spring constants, k 1 and k 2 . (a) If they’re connected side by side and stretched a distance x , as shown in Fig. 4.25 a , show that the force exerted by the combination is ( k 1 + k 2 ) x . (b) If they’re connected end to end (Fig. 4.25 b ) and the combination is stretched a distance show that they exert a force k 1 k 2 x /( k 1 + k 2 ). FIGURE 42.5 Problem 62
Two springs have the same unstretched length but different spring constants, k 1 and k 2 . (a) If they’re connected side by side and stretched a distance x , as shown in Fig. 4.25 a , show that the force exerted by the combination is ( k 1 + k 2 ) x . (b) If they’re connected end to end (Fig. 4.25 b ) and the combination is stretched a distance show that they exert a force k 1 k 2 x /( k 1 + k 2 ). FIGURE 42.5 Problem 62
Two springs have the same unstretched length but different spring constants, k1 and k2. (a) If they’re connected side by side and stretched a distance x, as shown in Fig. 4.25a, show that the force exerted by the combination is (k1 + k2)x. (b) If they’re connected end to end (Fig. 4.25b) and the combination is stretched a distance show that they exert a force k1k2x/(k1 + k2).
Walking in Waikiki, a tourist steps out onto Kuhio Dr while texting. Unbeknownst to the sunburned visitor, the street has been closed for the filming of a car chase scene for Hawaii 5-0. Slamming on the breaks, the stunt driver is thrown against his seatbelt, stopping in 90m. If the driver and the car weigh a total of 544kg and were traveling at 18 m/s, what force does the 90kg driver feel?
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Tarzan, who weighs 777 N, swings from a cliff at the end of a 16.5 m vine that hangs from a high tree limb and initially makes an angle of 21.9° with the vertical. Assume that an x axis points horizontally away from the cliff edge and a y axis extends upward. Immediately after Tarzan steps off the cliff, the tension in the vine is 721 N. Just then, what are (a) the force from the vine on Tarzan in unit-vector notation, and (b) the net force acting on Tarzan in unit-vector notation? What are (c) the magnitude and (d) the direction (measured counterclockwise from the positive x-axis) of the net force acting on Tarzan? What are (e) the magnitude and (f) the direction of Tarzan's acceleration just then?
Compute the maximum velocity, maximum acceleration, and the maximum force.
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