Vertical spring A massless spring hangs vertically with one end attached rigidly to the ceiling. You attach a 6.00 kg mass to the other end and let it go. Using video tracking and analysis you establish that the spring reaches its maximum speed when it is 11.0 cm below the unstretched length. Find the spring constant. Assume that the spring itself has no mass.
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Nuclear Physics
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Finding the spring constant A horizontal spring has one end attached to a rigid support. You stretch the free end by 10.5 cm and measure the force needed to do so as 25.0 N. (a) What is the spring constant? (b) What is the acceleration of a 10.0 kg mass attached to one end of the spring (with the other end attached to the rigid support) when the spring is stretched by 15.0 cm?
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Nuclear Physics
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Which way will it Move? A 4.20 kg mass, m1, hangs from a rope that runs over a massless frictionless pulley and is connected to a 6.70 kg mass, m2, resting on the surface at an incline of θ= 31.0°, as shown in Figure 5-32. The coefficient of static friction between the incline and m2 is 0.0900, and the coefficient of kinetic friction is 0.0700. Initially, the system is at rest. Find the acceleration of the masses and the tension in the string.
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Will the crate Move? You are pushing a 26.0 kg crate on a horizontal floor, where the coefficient of static friction is 0.170 and the coefficient of kinetic friction is 0.130. You apply a 145 N force at an angle of 27.0° below horizontal. (a) Will the crate move? (b) If the crate does move, find its acceleration.
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Nuclear Physics
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Coefficient of Kinetic Friction Your friend is sitting on a sled on a level snow-covered surface. The sled has steel runners. You give the sled one push, which causes it to move away from you at an initial speed of 2.10 m/s. The sled stops 7.00 s later. Find the coefficient of kinetic friction, assumed constant, between the sled and the snow-covered surface.
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Nuclear Physics
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Horizontal Push on Box on an inclined Plane Figure 5-11 shows a worker, wearing special boots for added traction, pushing a crate of mass m up an incline with a slope of angle θ using a horizontal force □(F ⃗ ). Find the normal force from the incline on the crate, and determine the acceleration of the crate. Assume that the friction between the crate and the incline is negligible. Express your answers in terms of the variables m, g, θ, and F. Fig.5-11 Example 5-11. The person pushes the box with an entirely horizontal force □(F ⃗ ).
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Force and Acceleration A Formula One race car is initially at rest at the start line. When the race starts, the car attains a speed of 135 km/h in 4.50 s. Find the net force on the driver, who has a mass of 67.0 kg. Assume constant acceleration.
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Nuclear Physics
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Drawing FBDs In an FBD, show all the forces acting on a crate that is sliding down a frictionless incline.