A 1.1 kg object is suspended from a vertical sprinkler spring cost and is 190 N/m. (A)find  the amount by which the spring is stretched from its unstrained length. ( B)the object is in pulled straight down by an additional distance of 0.19 m and released from rest. Find the speed with which the object passes through its original position on the way up.

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 block of mass m = 2.00 kg is attached to a spring of force constant k = 4.35 x 102 N/m that lies on a horizontal frictionless surface as shown in the figure below. The block is pulled to a position x, = 5.10 cm to the right of equilibrlum and released from rest. x= 0 x= x, (a) Find the the work reguired to stretch the spring. (b) Find the speed the block has as it passes through equilibrium. m/s

An archer pulls her bowstring back 0.410 m by exerting a force that increases uniformly from zero to 259 N. (a) What is the equivalent spring constant of the bow?(b) How much work does the archer do in pulling the bow?

A package of mass m = 6.00 kg is released on a 53.1° incline, a distance D = 4.00 m from a long spring with force constant 1.10 x 10² N/m that is attached at the bottom of the incline (Figure 1). The coefficients of friction between the package and incline are s = 0.400 and k = 0.200. The mass of the spring is negligible. (a) What is the maximum Figure m D www.k 0 = 53.1° 1 of 1 ▼ Part L Correct Find the total work done by the force of friction over the entire trip. Express your answer with the appropriate units. ► View Available Hint(s) W₁ = -75.1 J Submit Previous Answers Answer Requested As you can see, this is in accordance with your result from Part J. For the steps and strategies involved in solving this problem, you may view the Video Tutor Solution.

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 toy bow is used to fire an arrow directly upwards. The spring constant of the bowstring is 17 N/m, and the arrow has mass 0.013 kg. If the bow is drawn 0.15 m before firing, calculate the speed of the arrow when it leaves the bow.

A 0.30-kg object is suspended from the ceiling at the end of a string of length 1.6 m. When pulled to the side and released, it has a speed of 2.7 m/s at the lowest point of its path. What maximum angle does the string make with the vertical as the object swings up?

A block of mass 1.6 kg is held against a horizontal spring so that the spring is compressed 17 cm. The block is released and it slides across the floor a distance of 3.4 m before it stops. The coefficient of friction between the block and floor is 0.185. Find the force constant of the spring.