An 8-kg block slides 150mm from rest down the 25-degree plane. The spring has a value of k = 1800N/m. The coefficient of friction is 0.20.
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- The cable of a 1170 kg elevator cab shown in the figure below snaps when the cab is at rest at a height ?=22.9m above a spring with spring constant ?=9.08×10^4N/m. Additionally a constant friction force created by the clamps sliding along the guide rails is experienced by the cab as it moves in the shaft with strength ?f=8.14×10^3N. (a) What isthe maximum distance xthe spring compresses? (b) What is the maximum acceleration experienced by the elevator during its movement described in the problem? Assume no static friction acting on the cab since we can imagine the clamps not engaging until the moment after the cab begins to fall. Also, note that the clamps stay engaged the whole time, including while the spring is being compressed and while the elevator is bouncing back up.A bungee jumper stands on the top of a bridge, if her bungee cord is 24.0 m long and has a spring coefficient of 283 N/m and she has a mass of 48.3 kg. How tall must this bridge be for her bungee cord to stretch all the way to the ground? Number UnitsA box slides from rest down a frictionless ramp inclined at 38.0° with respect to the horizontal and is stopped at the bottom of the ramp by a spring with a spring constant of k = 3.50 x 104 N/m. point of release 1 m compression of spring If the box has a mass of 12.0 kg and slides 3.00 m from the point of release to the point where it comes to rest against the spring, determine the compression (in m) of the spring when the box comes to rest.
- The tension in a ligament in the human knee is approximately proportional to the extension of the ligament, if the extension is not too large. If a particular ligament has an effective spring constant of 152 N/mm as it is stretched, what is the tension in this ligament when it is stretched by 0.800 cm?A block of mass m = 3.5 kg is attached to a spring with spring constant k = 570 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 26° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.12. In the initial position, where the spring is compressed by a distance of d = 0.18 m, the mass is at its lowest position and the spring is compressed the maximum amount. Take the initial gravitational energy of the block as zero. If the spring pushes the block up the incline, what distance, L in meters, will the block travel before coming to rest? The spring remains attached to both the block and the fixed wall throughout its motion. What is L ?An object with mass 0.60 kg is suspended from the ceiling at the end of a 2.0 m long string. When the mass is pulled to the side (at an unknown angle) and released, you measure the speed to be 4.0 m/s at the lowest point of its path. What maximum angle does the string make with the vertical as the object swings up? Note: air resistance can be ignored. Options 69 degrees 77 degrees 47 degrees 61 degrees 54 degrees 50 degrees