At 220 m, the bungee jump at the Verzasca Dam in Locarno, Switzerland, is one of the highest jumps on record. The length of the elastic cord, which can be modeled as having negligible mass and obeying Hookes law, has to be precisely tailored to each jumper because the margin of error at the bottom of the dam is less than 10.0 m. Kristin prepares for her jump by first hanging at rest from a 10.0-m length of the cord and is observed to stretch the rope to a total length of 12.5 m. a. What length of cord should Kristin use for her jump to be exactly 220 m? b. What is the maximum acceleration she will experience during her jump?

Consider a block of mass 0.200 kg attached to a spring of spring constant 100 N/m. The block is placed on a frictionless table, and the other end of the spring is attached to the wall so that the spring is level with the table. The block is then pushed in so that the spring is compressed by 10.0 cm. Find the speed of the block as it crosses (a) the point when the spring is not stretched, (b) 5.00 cm to the left of point in (a), and (c) 5.00 cm to the right of point in (a).

Jane, whose mass is 50.0 kg, needs to swing across a river (having width D) filled with person-eating crocodiles to save Tarzan from danger. She must swing into a wind exerting constant horizontal force F, on a vine having length L and initially making an angle with the vertical (Fig. P7.81). Take D = 50.0 m, F = 110 N, L = 40.0 m, and = 50.0. (a) With what minimum speed must Jane begin her swing to just make it to the other side? (b) Once the rescue is complete, Tarzan and Jane must swing back across the river. With what minimum speed must they begin their swing? Assume Tarzan has a mass of 80.0 kg.

Check Your Understanding Suppose the mass in Equation 8.6 is doubled while keeping the all other conditions the same. Would the maximum expansion of the spring increase, decrease, or remain the same? Would the speed at point B be larger, smaller, or the same compared to the original mass?

14) A block of mass 0.20 kg is against a spring compressed 0.20 m with spring constant 70 N/m. When the spring is released, the block moves along the frictionless surface until entering a region with a coefficient of kinetic friction equal to 0.36 (when the block enters the friction region it is no longer in contact with the spring). How far, L, into the region with friction does the block slide before stopping? k = 70 N/m 0.36 Ax 0.20 m m = 0.20 kg Initial frictionless Ax Final ell frictionless L

The spring of a toy revolver has an elastic constant k. The revolver is tilted at an angle θ to the horizontal and fires a ball of mass m at a height h above it. (a) How fast does the ball come out? (b) How much should the spring have been compressed initially?

(9%) Problem 5: A block of mass m = 0.37 kg is set against a spring with a spring constant of k1 = 591 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k, = 139 N/m. y Mww m ©theexpertta.com > * 33% Part (a) How far, d, in meters, will the second spring compress when the block runs into it? dz = 1.38| Grade Summary Deductions 0% Potential 100% 義 sin() cos() tan() 7 8 9 HOME Submissions Attempts remaining: 9 (0% per attempt) cotan() asin() acos() E ↑^|^ 4 6 atan() sinh() * acotan() 1 2 3 detailed view cosh() tanh() cotanh() 0% END 1 - O Degrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 5% deduction per hint. Hints remaining: 1 Feedback: 5% deduction per feedback. E A 33% Part (b) How fast, v in meters per second, will the block be moving when it strikes the second spring? A 33% Part (c) Now assume that the surface is rough (that is, not…

When the 5 kg mass is released from rest, it slides down the incline and has a perfectly inelastic collision with the other mass. The coefficient of kinetic friction is 0.15 for the masses on both the incline and the flat floor. How far is the 670 N/m spring compressed when the masses first come to rest?

15-109. The elastic cord has an unstretched length lo = 1.5 ft and a stiffness k= 12 lb/ft. It is attached to a fixed point at A and a block at B, which has a weight of 2 lb. If the block is released from rest from the position shown, determine its speed when it reaches point C after it slides along the smooth guide. After leaving the guide, it is launched onto the smooth horizontal plane. Determine if the cord becomes unstretched. Also, calculate the angular momentum of the block about point A, at any instant after it passes point C. 4 ft- ва 3 ft k = 12 lb/ft