A 40 kg block rests at the top of an inclined smooth plane whose length is 4 yd and whose height is 0.5 m. How long will it take for the block to slide to the bottom of the plane when released? How much longer will it take to slide down if the plane has a coefficient of kinetic friction of 0.1?
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- 4. When only conservative forces are acting on a system, we can use the conservation of energy theorem to solve a problem. Recall from particle kinetics: T₁ + V₁ = T2 + V2, where V is potential energy (due to both gravitational and elastic forces: V₂ = Wyc and Ve= + ½ ks², respectively). The 30-kg rod is released from rest when 0 = 45°. The spring is unstretched when 0 = 45°. Using conservation of energy theorem, determine the angular velocity of the rod when 0 = 0°. B 1.5 m k = 300 N/m AA parcel of mass 2 kg is placed on a rough plane inclined at an angle a to the horizontal where Given that the parcel may be modelled as a particle and that the coefficient of friction is 4, find the magnitude of the force PN acting along the plane which is just sufficient to prevent sin a 13 3' the particle from a sliding up the plane, b sliding down the plane.For a technology project, a student has built a vehicle, of total mass 6.00 kg, that moves itself. As shown, it runs on four light wheels. A reel is attached to one of the axles, and a cord originally wound on the reel goes up over a pulley attached to the vehicle to support an elevated load. After the vehicle is released from rest, the load descends very slowly, unwinding the cord to turn the axle and make the vehicle move forward (to the left as shown). Friction is negligible in the pulley and axle bearings. The wheels do not slip on the floor. The reel has been constructed with a conical shape so that the load descends at a constant low speed while the vehicle moves horizontally across the floor with constant acceleration, reaching a final velocity of 3.00î m/s. (a) Does the floor impart impulse to the vehicle? If so, how much? (b) Does the floor do work on the vehicle? If so, how much? (c) Does it make sense to say that the final momentum of the vehicle came from the floor? If…
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- Learning Goal: To use the equations of equilibrium to analyze a system containing a wedge and to determine the necessary applied force to introduce motion into the system. Part A - Determining the normal force exerted by the crate on the wedge Determine the normal force NG that the crate exerts on the wedge when the system is at rest. The crate shown is held against wedge B by a spring. The spring is 96.0% of its original uncompressed length l = 3.00 m , and the spring constant is given as k = 1450 N/m. The coefficient of static friction at all contacting surfaces is le crate is m = 28.0 kg. The angle is 0 = 13.0 . Neglect the mass of the wedge. Assume the crate only moves in the y direction and that wedge A cannot move.(Figure 1) Express your answer to three significant figures and include the appropriate units. 0.110. The mass of the • View Available Hint(s) HA ? Nc = Value Units Submit Part B - Finding the smallest horizontal force P to move the crate upward Determine the magnitude…Page 4 of 4 Next Page Previous Page VSaved Question 14 (4 points) AListen Q4. A block is connected to a spring of length s that is initially unstretched. Then the block is given an initial speed vo, and a constant force Fis also applied on it, and it slides down the smooth (friction-less) inclined surface. (Both the velocity and the force have directions along the inclined surface.) The block will eventually stop due to the spring force. (1) On paper, sketch the FBD for the block after the force is applied on it. In the answer area below, simply enter: "see notes." 0000 vo F 30°A 250 N block is initially at rest on a flat surface that is inclined at 15°. If the coefficient of the kinetic friction is 0.30 and the coefficient of static friction is 0.40, find the force along the incline required to start the block moving up the plane.