SERPSE1D 8.2.0P.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER l A block of mass 0.248 kg is placed on top ofa light, vertical spring of force constant 4 E75 N/m and pushed downward so that the spring is compressed by 0.092 m. After the block is released from rest, it travels upward and then leaves the spring. To what maximum height above the point of release does it rise? (Round your answer to two deCimal places.) -:m Need Help? _' 1. [f1 Points] 2. [f1 Points] SERPSE1O 8.2.0P.004.M|. ASK YOURTEACHER PRACTICE ANOTHER Two objects are connected by a light string passing over a light, frictionless pulley as shown in the figure below The object of mass m:1 = 4.20 kg is released from rest at a height h = 5.00 m above the table. (a) Using the isolated system model, determine the speed of the DbJECt of mass m2 = 3.00 kg just as the 4.207kg object hits the table. (b) Find the maximum height above the table to which the BLDGkg object rises. :m 3. [-/1 Points] DETAILS SERPSE10 8.2.P.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A light, rigid rod is 53.2 cm long. Its top end is pivoted on a frictionless horizontal axle. The rod hangs straight down at rest with a small, massive ball attached to its bottom end. You strike the ball, suddenly giving it a horizontal velocity so that it swings around in a full circle. What minimum speed at the bottom is required to make the ball go over the top of the circle? m/s Need Help? Read It 4. [-/1 Points] DETAILS SERPSE10 8.3.OP.006. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A carton is given a push across a horizontal surface. The carton has a mass m, the push gives it an initial speed of 4.00 m/s, and the coefficient of kinetic friction between the carton and the surface is 0.125. (a) Use energy considerations to find the distance (in m) the carton moves before it stops. m (b) What If? Determine the stopping distance (in m) for the carton if its initial speed is doubled to 8.00 m/s. m Need Help? Read It 5. [-/1 Points] DETAILS SERPSE10 8.3.OP.007. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A container is given a push across a horizontal surface. The container has a mass m, the push gives it an initial speed of vo, and the coefficient of kinetic friction between the container and the surface is "k'A container is given a push across a horizontal surface. The container has a mass m, the push gives it an initial speed of v , and the coefficient of kinetic friction between the container and the surface is "k' (a) Use energy considerations to find an expression for the distance the container moves before it stops. (Use any variable or symbol stated above along with the following as necessary: g.) (b) What If? If the initial speed of the container is increased by a factor of 3, determine an expression for the new distance drew the box slides in terms of the old distance d. d Need Help? Read It 6. [-/1 Points] DETAILS SERPSE10 8.3.OP.008. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A block of mass m = 2.00 kg is attached to a spring of force constant k = 575 N/m as shown in the figure below. The block is pulled to a position x; = 4.25 cm to the right of equilibrium and released from rest. *=0 *= X; (a) Find the speed the block has as it passes through equilibrium if the horizontal surface is frictionless. m/s (b) Find the speed the block has as it passes through equilibrium (for the first time) if the coefficient of friction between block and surface is u = 0.350. m/s7. [-/1 Points] DETAILS SERPSE10 8.3.P.009. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A smooth circular hoop with a radius of 0.600 m is placed flat on the floor. A 0.425-kg particle slides around the inside edge of the hoop. The particle is given an initial speed of 9.00 m/s. After one revolution, its speed has dropped to 5.50 m/s because of friction with the floor. (a) Find the energy transformed from mechanical to internal in the particle-hoop-floor system as a result of friction in one revolution. (b) What is the total number of revolutions the particle makes before stopping? Assume the friction force remains constant during the entire motion. rev Need Help? Read It 8. [-/1 Points] DETAILS SERPSE10 8.4.OP.009. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A student on a skateboard is moving at a speed of 1.40 m/s at the start of a 2.20 m high and 12.4 m long incline. The total mass is 60.0 kg, air resistance and rolling resistance can be modeled as a constant friction force of 41.0 N, and the speed at the lower end of the incline is 6.10 m/s. Determine the work done (in J) by the student as the skateboard travels down the incline. Need Help? Read It 9. [-/1 Points] DETAILS SERPSE10 8.4.OP.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The coefficient of friction between the block of mass m, = 3.00 kg and the surface in the figure below is u = 0.475. The system starts from rest. What is the speed of the ball of mass m, = 5.00 kg when it has fallen a distance h = 1.55 m? m/s9. [f1 Points] DETAILS SERPSE10 8.4.0P.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The coefficient of friction between the block of mass m1 = 3.00 kg and the surface in the gure beiciw is \"k = 0.475. The system starts from rest. What is the speed of the ball of mass m2 = 5.00 kg when it has falien a distance h = 1.55 m? Em