13-5. If blocks A and B of mass 10 kg and 6 kg respectively, are placed on the inclined plane and released, determine the force developed in the link. The coefficients of kinetic friction between the blocks and the inclined plane are MA = 0.1 and μg = 0.3. Neglect the mass of the link.

A Block-Spring System A block of mass 1.0 kg is attached to horizontal spring that has a force constant of 2,000 N/m as shown in figure (a). The spring is compressed 3.0 cm and then released from rest as in figure (b). (a) A block attached to a spring is pushed inward from an initial position x -0 by an external agent. (b) At position x, the block is released from rest and the spring pushes it to the right. x = 0 (For the following, when entering a mathematical expression, do not substitute numerical values; use variables only.) (a) Calculate the speed of the block as it passes through the equilibrium positio x = 0 if the surface is frictionle SOLUTION Conceptualize This situation has been discussed before, and it is easy to visualize the block being pushed to the right by the spring and moving with some speed at x = 0. Categorize We identify the system as the block and model the block as [--Select-- Vsystem. Analyze In this situation, the block starts with v, = 0 at x, = -3.0 cm, and…

Example 13-12 depicts the following secnario. A 0.990kg block slides on a frictionless, horizontal surface with a speed of 1.38 m/s. The block encounters an unstretched spring with a force constant of 218 N/m, as shown in the sketch. Before the block comes to rest, the spring is compressed by 9.30 cm .

ull T-Mobile LTE 5:27 PM O 21% O Done 11 of 11 A spring 1.50 m long with force constant 460 N/m is hung from the ceiling of an elevator, and a block of mass 14.0 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (Enter the magnitude only.) (b) If the elevator subsequently accelerates upward at 1.68 m/s², what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (Indicate the direction with the sign of your answer.) m (c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion? Additional Materials OeBook

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

10 kg - mass  500 N/m - k 0.2 m = x 30° = θ (theta) 0.2 = μk REQUIRED d = ?

The left end of a 1.200 m-long board is raised 0.300 m above the level table and a 0.800 kg cart (frictionless wheels) is placed on the ramp near the top (left) end. The cart is held in place by a compression spring that pushes into the cart horizontally. [ a) compute the ramp's distance along the horizontal. ] b) compute the spring Force magnitude. [c) compute the ramp Force magnitude. ] [ d) calculate the cart's acceleration if released from the spring. ] 2.450 N 7.840 N 2.024 N my answer is very different than any of these others 30.364 N 8.097 N 1.960 N

A scale stretches 7 cm for a 7 kg load. How far apart are the 0.5 kg marks on it to the nearest mm?

An astronaut lands on a newly-discovered planet (without an atmosphere). As an experiment, she throws vertically upwards a pure vanadium sphere of radius 2.0 cm and density 5.5 × 103 kg m3 with an initial speed of 3.0 ms 1. The point of release is 1.2 m above the ground. She observes the sphere to travel 4.8 m before it starts falling to the ground. Calculate the kinetic energy of the projectile just as it hits the ground.

1) A pendulum bob of mass 0.710 kg is suspended by a string of length 1.50 m. The bob is released from rest when the string is at 30°to the vertical. The swing is interrupted by a peg 1.00 m vertically below the support as shown below. What is the maximum angle to the vertical made by the string after it hits the peg? 1 m