Problem 5: A block of mass m = 4.5 kg is attached to a spring with spring constant k = 81 N/m. It is initially at rest on an inclined plane that is at an angle of 0 = 28° with respect to the orizontal, and the coefficient of kinetic friction between the block and the plane is ug = 0.19. In th nitial position, where the spring is compressed by a distance of d= 0.18 m, the mass is at its lowes position and the spring is compressed the maximum amount. Take the initial gravitational energy o he block as zero.
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- A crate of mass mm is initially at rest at the peak of an inclined plane which has a height of 4.43m4.43m and makes an angle of θ=24.2 with respect to the horizontal. After it has been released, it is found to be traveling at v=0.99m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the crate and the plane is μp=0.1, and the coefficient of friction on the horizontal surface is μr=0.2. a.-Find the distance, d, in meters.A crate of mass m is initially at rest at the highest point of an inclined plane, which has a height of 4.7 m and has an angle of θ = 28° with respect to the horizontal. After it has been released, it is observed to be traveling at v = 0.85 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the crate and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. Find the distance d, in meters.A box of mass m is initially at rest at the peak of an inclined plane, which has a height of 5.5 m and has an angle of θ = 25° with respect to the horizontal. After being released, it is observed to be moving at v = 0.85 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the box and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. a)What is the speed of the box, in meters per second, just after it leaves the inclined plane?
- A block of mass m is initially at rest at the peak of an inclined plane, which has a height of 6.9 m and makes an angle of θ = 29° with respect to the horizontal. After being released, it is observed to be moving at v = 1 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. Find the distance d, in metersA brick of mass m = 0.48 kg is set against a spring with a spring constant of k1 = 619 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2 = 244 N/m. The brick is not connected to the first spring and may slide freely. Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is μk = 0.5. If the distance between the springs is x = 1 m, how far d2, in meters, will the second spring now compress?A fish of mass 1kg is lying still on an inclined plane at 3o degrees above the horizontal. the magnitude of the normal force exerted by the plane on the fish is. 0N 9.8N 8.5 N 4.9N
- According to a simplified model of a mammalian heart, at each pulse approximately 20 gg of blood is accelerated from 0.22 m/sm/s to 0.36 m/sm/s during a period of 0.11 ss . What is the magnitude of the force exerted by the heart muscle?an air-track glider of mass 0.100 kg is attached to the end of a horizontal air track by a spring with force constant 20.0 N/m. Initially the spring is unstretched and the glider is moving at 1.50 m/s to the right. Find the maximum distance d that the glider moves to the right if the air is turned off, so that there is kinetic friction with coefficient muk=0.47A block of mass m is initially at rest at the top of an inclined plane, which has a height of 4.2 m and makes an angle θ = 17° with respect to the horizontal. After sliding down the ramp, the brick is observed to be moving at v = 0.95 m/s at a distance d from the end of the inclined plane. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. 1. what is the speed of block, in meters per second, just after it leaves the inclined plane 2. find the distance, d, in meters