3. A block of mass M oscillates with amplitude A on a frictionless horizontal table, connected...
A block with mass M rests on a frictionless surface and is connected to a horizontal spring of force constant k. The other end of the spring is attached to a wall. A second block with mass m rests on top of the first block. The coefficient of static friction between the a blocks is μs. a) Find the maximum amplitude of oscillation such that the top block will not slip on the bottom block. b) Suppose the coefficient of...
A block of mass M = 5.60 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 6390 N/m. A bullet of mass m = 8.20 g and velocity of magnitude 710 m/s strikes and is embedded in the block (the figure). Assuming the compression of the spring is negligible until the bullet is embedded, determine (a) the speed of the block immediately after the collision and (b) the...
A block of mass M = 5.60 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 5890 N/m. A bullet of mass m = 9.30 g and velocity v of magnitude 650 m/s strikes and is embedded in the block (the figure). Assuming the compression of the spring is negligible is embedded, determine (a) the speed of the block immediately after the collision and (b) the amplitude of...
A block of mass M = 1.94 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 110 N/m. A bullet of mass m = 4.7 g and velocity of magnitude 810 m/s strikes and is embedded in the block (Fig. See below). Assuming the compression of the spring is negligible until the bullet is embedded, determine (a) the speed of the block immediately after the collision and (b)...
A block of mass M = 6.20 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 6410 N/m. A bullet of mass m = 9.30 g and velocity v→ of magnitude 600 m/s strikes and is embedded in the block (the figure). Assuming the compression of the spring is negligible until the bullet is embedded, determine (a) the speed of the block immediately after the collision and (b)...
A 456 g mass oscillates with an amplitude of 12.8 cm in simple harmonic oscillation connected to a spring of spring constant k . The system is known to have a maximum velocity of 0.575 m/s as it oscillates back and forth. What is the spring constant of the oscillation? What is the period of the oscillation? What is the total energy of the system?
A block of mass M = 5.80 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 5490 N/m. A bullet of mass m = 9.90 g and velocity v of magnitude 670 m/s strikes and is embedded in the block (the figure). Assuming the compression of the spring is negligible until the bullet is embedded, determine (a) the speed of the block immediately after the collision and (b)...
1. A block of mass 6.00kg is connected to a spring on a horizontal frictionless surface. The spring constant is 280N/m. The block-spring system undergoes simple harmonic motion. At a time t=0s, the position of the block x= +A and its velocity vx= 0. At t=2.50s the position x = -12.0 cm No credit awarded without correct units! a. Determine the angular frequency and period of the motion b. Determine the amplitude c. Determine the phase angle d. Write the...
In the figure, block 2 of mass 2.60 kg oscillates on the end of a spring in SHM with a period of 24.00 ms. The position of the block is given by x = (1.60 cm) cos(wt + pi/2). Block 1 of mass 5.20 kg slides toward block 2 with a velocity of magnitude 7.20 m/s, directed along the spring's length. The two blocks undergo a completely inelastic collision at time t = 6.00 ms. (The duration of the collision...
4. (12 pts) A block of mass, M, rests on a horizontal, frictionless surface and is attached to a spring with a spring constant ofk-85.0 N/m as shown. The block is pulled back a distance d-0.250 m from equilibrium and released. The block completes 8 complete oscillations in 10.0 s. Equilibrium a). (4 pts) what is the magnitude of the force exerted on the block by the spring just before it is released? Answer: b). (4 pts) Once the block...