A block of mass m is pushed against a spring of spring constant k fixed at one end to a wall. The block can slide on a frictionless table as shown in figure (8-W6). The natural length of the spring is L, and it is compressed to half its natural length when the block is released. Find the velocity of the block as a function of its distance x from the wall. Figure 8-W6
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- Physics Problem: A 2.5-kg block moving at 2. 0 m/s collides with a spring whose spring constant is390 N/m, as shown in the figure. The block compresses the spring a distance of 7.5 cm from itsequilibrium position and comes to a stop. What was the initial height of the block?(a) if the ramp exerts no friction force on the block.(b) if the coefficient of kinetic friction between the block and the horizontal surface is 0.25A 6.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)? (Enter a number.)A sky diver plans to bungee jump from a tower 74.0 m above the ground. She plans to use a uniform elastic cord, tied to a harness around her body, to stop her fall at a point 11.0 m above the water. Model her body as a particle and the cord as having negligible mass and obeying Hooke's law. In a preliminary test she finds that when hanging at rest from a 5.00 m length of the cord, her body weight stretches it by 1.25 m. She will drop from rest at the point where the top end of a longer section of the cord is attached to the tower. (a) What length of cord should she use? m (b) What maximum acceleration will she experience? m/s²
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