hA hB
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Ball B is hanging from an inextensible cord. An identical ball A is released from rest when it is just touching the cord and drops through the vertical distance hA = 8 in. before striking ball B. Assuming e = 0.9 and no friction, determine the resulting maximum vertical displacement hB of the ball B.
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- SITUATION 9. A small projectile is fired vertically downward into a fluid medium with an initial velocity of 60m/s. Due to the drag resistance of the fluid the projectile experiences a deceleration of a = -0.4v³m/s², where v is in m/s. Determine the projectile's velocity and position 4 s after it is fired.A small object is initially at rest at the top of a large solid sphere that is fixed on the ground. The small object then begins to slide along the surface of the large solid sphere, without friction. V₁ = 0 RI Part (a) Find the angle at which the small object loses contact with the large solid sphere. Part (b) Find the maximum horizontal distance traveled by the small object before it hits the ground. Take (xi, y₁) = (0,2R) as the coordinates for the top of the large solid sphere.A small piece of Styrofoam packing material is dropped from a height of 2.50 m above the ground. Until it reaches terminal speed, the magnitude of its acceleration is given by a = g - Bv. After falling 0.400 m, the Styrofoam effectively reaches terminal speed, and then takes 5.10 s more to reach the ground. (a) What is the value of the constant B? s-1 (b) What is the acceleration at t = 0? m/s² (down) (c) What is the acceleration when the speed is 0.150 m/s? m/s² (down)
- Time left 0:20:32 An amusement park in Dubai has a ramp which is frictionless. A child drops a smooth object and it slides down the ramp and comes down through a height 4 m. What distance is necessary to stop the object on the flat track if the coefficient of friction is 0.4? h. Answer:While watching the Minty Mania Grand Prix (the first race of the Marbula One 2020 season), you're curious about a few things. You notice that the marbles move downhill during the entire race (the slope of the track changes at different points), and then are lifted back to the starting line by a conveyor belt at the end of each lap. The announcer mentions that the conveyor belt lifts the marbles a height of 40.0 cm, at a constant speed of 0.095m/s, and that the length of the conveyor belt is 52 cm. He also mentions that the length of the track (from start line to finish line) is 10.26 m. You can assume that the marble is already moving at this speed when it starts moving up the conveyor belt. You also know that the mass of each racer (marble) is 6.6 g. To simplify the analysis, you decide to model the force of friction acting on the marble (due to interactions with the track, walls, and other marbles) as a constant 0.002 N force. To satisfy your curiosity, determine the power of the…A frictionless plane is 10.0 m long and inclined at 30.0°. A sled starts at the bottom with an initial speed of 5.30 m/s up the incline. When the sled reaches the point at which it momentarily stops, a second sled is released from the top of the incline with an initial speed v₁. Both sleds reach the bottom of the incline at the same moment. (a) Determine the distance that the first sled traveled up the incline. m (b) Determine the initial speed of the second sled. m/s
- A diver springs upward from a board that is 4.30 m above the water. At the instant she contacts the water her speed is 12.3 m/s and her body makes an angle of 80.5° with respect to the horizontal surface of the water. Determine her initial velocity, both (a) magnitude and (b) direction. (a) Number (b) Number Units Units No units S m m/s m/s^2 4A 126 kg crate is sitting at the top of a ramp, which is inclined at an angle of 19 degrees with respect to the horizontal. The crate is a height 0.71 m from the ground, measured vertically from the ground to the crate. Someone gives the crate a quick shove to get it moving, after which it slides down the ramp without any further assistance. The coefficient of kinetic friction between the crate and the ramp is ls = 0.23. How much time (in seconds) does it take for the crate to get to the base of the ramp?7:29 Search We investigated a jet landing on an aircraft carrier. In a later maneuver, the jet comes in for a landing on solid ground with a speed of 92 m/s, and its acceleration can have a maximum magnitude of 8.75 m/s² as it comes to rest. (a) From the instant the jet touches the runway, what is the minimum time interval needed before it can come to rest? (b) Can this jet land on a small tropical island airport where the runway is 0.800 km long? (c) Explain your answer. Step 1 We know the initial speed of the jet when it touches the runway, and we know that its final speed is zero. We also know the maximum magnitude that its acceleration can have when it comes to rest. We need to find the stopping distance for the jet and we need to compare this stopping distance to the length of the runway on the island airport. 10.47 Step 2 We use the maximum acceleration and the initial and final velocities to determine the minimum stopping time. We know the initial and final velocities of the jet…