Two blocks both with mass m are on a frictionless surface. One block is traveling with speed v0 towards a massless spring with spring constant k that is connected to the second block. Both the spring and the second block are initially stationary. The point of maximal compression of the spring occurs at the same instant that the velocities of the two blocks are equal. What is the maximum compression of the spring?

You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. Your own body mass is 50.1 kg. You pick up an object and drop it from rest, starting at a height of 1.97 meters above the floor, and it hits the floor 0.380 seconds later. You can ignore air resistance. Based on the outcome of this experiment, when you step on the scale provided for you, what weight will it register for your body?     684 N     911 N     1,367 N     491.5 N

You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. Your own body mass is 56.0 kg. You pick up an object and drop it from rest, starting at a height of 2.35 meters above the floor, and it hits the floor 0.346 seconds later. You can ignore air resistance. Based on the outcome of this experiment, when you step on the scale provided for you, what weight will it register for your body?     549.4 N     1,100 N     1,466 N     2,199 N

Two spring-loaded carts are at rest on a low-friction track. The spring is released, pushing the carts away from each other. Positive to the right and negative to the left. The bricks on top of the carts have the same mass as the cart. The blue cart has a speed of 1m/s after the spring is released. Calculate the velocity of the red car after the explosion Before Explosion After Explosion + 5 m/s - 5 m/s +3 m/s O - 3 m/s O +1.5 m/sec O - 1.5 m/sec

You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. Your own body mass is 72.3 kg. You pick up an object and drop it from rest, starting at a height of 1.52 meters above the floor, and it hits the floor 0.223 seconds later. You can ignore air resistance. Based on the outcome of this experiment, when you step on the scale provided for you, what weight will it register for your body? 1 2,210 N 2 2,947 N 3 4,420 N 4 709.3 N

Leah is competing in the national diving championships.  She has a mass of 67 kg and leaves the springboard from a height of 2.9 meters above the water surface with a speed of 5.83 m/s in the upward direction. a) Determine Leah’s speed in m/s when she strikes the water. b) Leah’s body plunges to a depth of 2.12 meters below the water surface before coming to a stop.  Determine the magnitude of the average force of water resistance in Newtons experienced by her body

You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. Your own body mass is 71.1 kg. You pick up an object and drop it from rest, starting at a height of 1.82 meters above the floor, and it hits the floor 0.305 seconds later. You can ignore air resistance. Based on the outcome of this experiment, when you step on the scale provided for you, what weight will it register for your body?     1,391 N     1,855 N     2,782 N     697.5 N

There are two particles (1 and 2) that are moving around in space. The mass of particle 1 is 4.1 kg and the mass ofparticle 2 is 4.51 kg. The particles are isolated so that only the forces between the particles are significant. The forcethat 2 exerts on 1 is given by: F21(t) = Fxe−(t/tx )ˆi + Fy sin(2πt/T)ˆj  The initial time is t = 0 s and the final time is t = 5.9 s The y-component of the impulse from 1 on 2 is: I12,y = 50.28 N s Fx = 17.4 N, Fy = -28.8 N, tx = 6.5 s, T = 60.7 s what is the x component of the impulse from 1 on 2? What is the y-component of the change in momentum for particle 1?   what is the y componentof the average force from 1 on 2

A block of mass 0.2 kg is launched by a spring k₁= 2.0 N/m as shown below. The block moves along a frictionless horizontal table and pushes another spring, k2 = 1.8 N/m, to the maximum deflection x. If the initial deflection of the spring k₁ is 0.050 m, what is the maximum deflection of spring k₂? Consider that the masses of the springs are negligible. Express your answer with the appropriate units. x = μÁ Value Units www ? k₁ Foor k₂ mm

A delivery person carries a stack of three boxes labeled 1, 2, and 3. Box 3 is on the bottom of the stack, and box 1 is on the top. The masses of boxes 1, 2, and 3 are m = 3.5 kg, m2 = 4.5 kg, and m3 = 8.0 kg, respectively. The delivery person places the stack of boxes on an elevator floor, which then accelerates upward with a magnitude of a = 0.90 m/s?. Assume that the positive direction is up. Calculate the contact force F1-2 that box 1 exerts on box 2 during the acceleration. F-2 = N %3D Calculate the contact force F3-2 that box 3 exerts on box 2 during the acceleration. F3-2 = N