a box with the mass m = 2.60 kg, starting from rest, falls a vertical distance h = 55cm before striking a spring, which it compresses. If the spring has a stiffness of 720 N/m. what is the compression of the spring

We are going to create a model for the forces acting when climbing with mass 'm' while falling on a rope. To simplify the problem, we will assume that there is no external or internal friction on the rope, and that there is no slack in the rope when the climber falls a height 'h/2' above the last belay, as shown in Figure. The rope has a length 'L' (in meters) when the fall occurs. All movement in the model is vertical (along the y-axis), and we will assume that the positive direction is downward. In part (a), the climber is in free fall until the rope starts to catch the fall. Set up the model for free fall and derive the expression for the velocity v0 that the climber has when the rope starts to slow down the fall. You can assume that the climber's speed is only a function of 'y' such that dy/dt = v(y)⟹  d²v/dt² = v * dv/dy

A gun is shot into a 1 KN block which is hanging from a rope of 1.8 m long. The weight of the bullet is 5 N with a muzzle velocity of 320 m/s. How high in m will the bag swing after it was heat by the bullet?

In the figure, the blocks have masses  mA = 3.0 kg and mB = 5.0 kg. Between the wall and block B there is static friction, of coefficient 0.80 and the spring of block A, with elastic constant 580 N/m is stretched by x = 2.60 cm (elastic force points in the +y direction).The force F has a value of 100 N at time t = 0, but gradually reducing according to the expression F = 100 − 16t N (subject at F > 0).After how long will B slip?

Determine the 'spring constant' of the climbing rope if it stretches 2 m under the weight of a 70 kg climber. O 172 N/m 70 kg/m 343 N/m 35 kg/m

A certain spring stretches 6 cm when a load of 30 N is suspended from it. How much will the spring stretch if 50 N is suspended from it (and it doesn't reach its elastic limit)? Give a numerical answer in units of cm.

A brick of mass m = 0.48 kg is set against a spring with a spring constant of k1 = 619 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 = 244 N/m. The brick is not connected to the first spring and may slide freely. 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 μk = 0.5. If the distance between the springs is x = 1 m, how far d2, in meters, will the second spring now compress?

A wire is stretched 3 mm by a force of 150 N. Assuming the elastic limit is not exceeded, the force that will stretch the wire 5 mm is:       (c) 90 N   (b) 250 N   (d) 450 N   e. No answer   (a) 150 N

A person falls on a spring-loaded plank of length L with velocity V. Draw a graph of the velocity acceleration and the force and deformation of the spring

A spring with a spring constant of k = 192 N/m is initially compressed by a block a distance d = 0.23 m. The block is on a horizontal surface with coefficient of kinetic friction μk, static friction μs, and has a mass of m = 7 kg. How large would the coefficient of static friction μs need to be to keep the block from moving? Recall that to keep the block from moving, the acceleration is zero.  Assuming the block has just begun to move and the coefficient of kinetic friction is μk = 0.2, what is the block's acceleration in meters per square second?