Problem 2 Consider the elastic pendulum shown in the figure below.The pendulum con- si sts of a bob of mass m, connected to a spring of spring constant k Let la be the length of the spring at equilibrium, and r be the elongation. The bob is free to move in 3D. 1. Calculate the degrees of freedom of the block 2. What is the kinetic energy of the block 3. What is the potential energy of the block
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- 9. Kinematics, Forces, and Energy Two blocks of mass ma and mg are connected through a pulley tension system as seen in the figure on the right. The string is massless and the pulley is massless and frictionless. There is no friction between block A and the ground. Block B starts at a height h above the ground. Both blocks are released from rest. h (a) Use energy to find an expression for the speed of the block just before it hits the floor. (b) Use forces and kinematics to find an expression for the speed of the block just before it hits the floor. (c) Sensemaking: Compare your two answers. How do you know they are right or wrong?As shown here, a small block is released from rest at the top of a ramp. It goes over a loop, and then hits a spring. Which type(s) of energy are present at each of the following points along its path (SELECT ALL THAT APPLY) * GPE KE SPE There is zero energy at this point At the top of the ramp, when it is released from rest As it moves over the top of the loop When the spring brings it to a momentary stop GPE KE SPE There is zero energy at this point At the top of the ramp, when it is released from rest As it moves over the top of the loop When the spring brings it to a momentary stopA block attached to a 15 N/m-spring constant spring moves on a frictionless horizontal surface, its position-vs-time graph is shown below. What is the total mechanical energy of the block-spring system, in Joules? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit x (cm) 20 is needed in your answer, it is already given in the question statement. 0 -20- ਲਈ 4 6 8 –t (s)
- A student uses a rubber band to shoot a 0.05kg toy car across a level floor. Imagine that no energy is transferred between the car and the floor or between the car and the air. The rubber band was stretched 0.03m. Before Toy car before it starts to move Toy car while it is moving Stretched rubber band Unstretched rubber band EPE KE ME Draw a graph below that best reflects the total energy of the system AFTER the rubber band is released? > Replay After KE GPE EPE ME ENERGYA 20kg block starts from rest and slides 6m down an incline as shown below. The block then hits a spring that has a force constant of 200 N/m. The angle of the incline is 30° and there is a coefficient of kinetic friction equal to 0.2 between the block and the incline. HK = 0.2 6m K = 200N/m www 300 Answer the following questions on your own paper and staple it to this sheet. 1. What is the speed of the block as it hits the spring? 2. At what distance from the top does the maximum speed occur? 3. What is the maximum speed of the block? 4. What is the total distance that the spring gets compressed? The spring recoils to push the block back up the incline. 5. What will be the speed of the block when it leaves the spring? 6. How far up the incline will the block travel? (above the spring)Hi I need help with a clear explanation please