A spring with spring constant k = 80 N/m has an equilibrium length of 1.00 m. The spring is compressed to a length of 0.5 m and a mass of m = 1.8 kg is placed at its free end on a frictionless slope which makes an angle of θ = 37° with respect to the horizontal. The spring is then released. [Note: you may use the approximations sin 37° = 0.6 and cos 37° = 0.8 for simplicity] a)  If the mass is not attached to the spring, how far up the slope will the mass move before coming to rest? b)  If the mass is attached to the spring, how far up the slope will the mass move before coming to rest? c)  Now the incline has a coefficient of kinetic friction μk. If the block, attached to the spring, is observed to stop just as it reaches the spring’s equilibrium position, what is the coefficient of friction?

You pull on a string with a horizontal force of magnitude Fyb = 69 N that is attached to a block of mass m 6 kg, then to the axle of a solid cylinder of mass me = 4.4 kg and radius r = 0.5 m, then to a spring of spring constant k = 115 N/m. This is all done on an inclined plane where there is friction (μs = 0.65 and μk = 0.36), and the incline angle is 0 = 30 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. k lllllllll Fyb b 0 Speed First, what is the speed of the block and cylinder after you have pulled the block and cylinder 172 cm down the plane? V=

Let's say we have a spring with a constant of K= 300 N/m and this spring is attached to the incline at the top making an angle of θ=44.0° with the horizontal. Now, after we have this problem, there is a projectile that has a mass of 1 kg that is pointing up the plane. The initial position of this projectile is d = 1.3 m and it is from the end 0f a uncompressed spring. Answer the following questions: Let’s say the incline has no friction at all and given the kinetic energy for the projectile is 15 J. How much c0mpression will the spring receive? Let's say we have a coefficient of friction = 0.300 and the spring will have to c0mpress 1.10 the instant the projectile stops..in order for this to happen, what should be the initial speed of the projectile?

A spring with a spring constant of 383 N/m is initially compressed by a distance of 0.076 m from its equilibrium position. A mass of 0.038 kg is then held against the compressed spring and released from rest while upon a horizontal, frictionless surface. Assuming that the spring then pushes the mass across the surface, with speed does the mass leave the spring? Assume proper SI Units.

A block with mass m = 19.1 kg is pressed against a spring with spring constant 2.720E+3 N/m, compressing the spring a distance of 0.130 m. It is then released from rest, moves across a frictionless horizontal surface, down a frictionless hill (vertical height h = 8.24 m), and onto a horizontal surface with friction μk = 0.287. How far (in m) will the block slide across the horizontal frictional surface before coming to rest?

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 vertical spring 0.100 meter long is stretched to a length of 1.25 meters when a 2 kilogram mass is attached to the bottom. What is the correct value for the spring constant of this spring?

A spring with a spring constant of 369 N/m is initially compressed by a distance of 0.064 m from its equilibrium position. A mass of 0.031 kg is then held against the compressed spring and released from rest while upon a horizontal, frictionless surface. Assuming that the spring then pushes the mass across the surface, with speed does the mass leave the spring? Assume proper SI Units.

A cube of a mass m=0.37 kg is set against a spring with a spring constant of k1=656 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 k2=181N/m. The cube is not connected to the first spring and may slide freely. I found (a) and (b). I just need help with (c). a). How far d2, in meters, will the second spring compress when thee cube runs into it? 0.19 m. (answer) b). How fast v, in meters per second, will the cube be moving when it strikes the second spring? 4.21 m/s (answer) c). Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is uk=0.5. If the distance between the springs is x=1m, how far d2, in meters, will the second spring now compress?

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 ?