2. A spring is stretched 175 mm by an 8-kg block. If the block is displaced 1 mm downward from its equilibrium position and given a downward velocity 1.5 m/s, determine the position of the block when t = 0.22 s. Assume that positive displacement is downward.
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- 1. One type of BB gun uses a spring-driven plunger to blow the BB from its barrel. (a) Calculate the force constant of its plunger's spring if you must compress it 0.16 m to drive the 0.054 kg plunger to a top speed of 11 m/s. k = V N/m (b) What is the magnitude of force that must be exerted to compress the spring? Neglect any dissipative forces. F =2. Construct a problem where a mass is sitting on top of a spring inside an elevator; both are suspended by a rope and are uniformly accelerating upwards with magnitude 4 meters per second squared. Specify all the masses in the problem, as well as all the forces acting in the problem, and their relative directions.can someone please help, thank you !
- 24. A mass-spring system is set up so that the mass oscillates in the horizontal. The mass is 0.88_kg, and the spring has constant 45_N/m. The mass is pulled back so that the spring stretches 0.72 m, and then the mass is released. Find the speed of the mass when it is located at 0.31 m. (Assume there is no friction between the mass and the tabletop.)Other possible answer choices 0.635s 0.401s 0.643s 0.796s 4.28s2. A simple pendulum is suspended from the ceiling by means of a string. this time of length 2.33 m, which you release from rest at an angle of 45.4 degrees to the vertical. What will be the speed of the pendulum at the instant it reaches an angle of 36.3 degrees above the vertical? 2.18 m/s 3.69 m/s 2.98 m/s 5.17 m/s
- 5. A block is attached to a horizontal spring. Find a model for the displacement d as a function of time given the following conditions: a. At time t = 0, the block is pulled to the left 6 cm with a frequency of 2 Hz. W -3-2-1 0 1 2 3 + d b. At time t = 0, the initial displacement is 0 inches (moving to the right), the amplitude is 15 centimeters, and the period is 1 sec.1. One type of BB gun uses a spring-driven plunger to blow the BB from its barrel. (a) Calculate the force constant of its plunger's spring if you must compress it 0.2 m to drive the 0.055 kg plunger to a top speed of 25 m/s. k= N/m (b) What is the magnitude of force that must be exerted to compress the spring? Neglect any dissipative forces. F= N Think & Prepare 1. What is the amplitude of the plunger? Challenge There are two ways to solve this problem. Can you figure out both?A 0.23 kg mass is suspended on a spring which stretches a distance of 5.3 cm. The mass is then pulled down an additional distance of 11 cm and released. What is the displacement from the equilibrium position with the mass attached (in cm) after 0.33 s? Take up to be positive and use g = 9.81 m/s2. The initial condition should be set as y(0)=-A because the mass is pulled below the equilibrium (the origin along y-axis) and released. Hint: Get k from the displacement as it was done in this example. The equation will have ω = (k/m)1/2, and the phase will be such that it will be a cosine with a negative amplitude, because it starts at a negative displacement.