Problem 3: In the rollercoaster shown in the figure, the height of the first hill is 25.9 meters, and the height of the second hill is 14.4 meters. The track of the rollercoaster is frictionless. Shah, Isha - shahis 17@students.rowan.edu If the rollercoaster car's velocity is 21 m/s, what was its velocity at the top of the first hill? hl v = ? h2

27.  Two blocks are attached to a light string. Block A (mA=14.6kg) is at rest on a frictionless table. Block B (mB=5.73kg) hangs off the edge of the table, as shown. Both blocks are released from rest.Using the 2-system approach, what is the acceleration of the system?a=       ms2*Round your answer to the nearest thousandth if necessary.

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Problem 3: Amass is sliding on a frictionless surface with a speed v. It runs into a linear spring with a spring constant of k, which compresses from position x; to position xp. m ©theexpertta.com Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of the spring to be x=0. Fspring =-kx / Correct! Part (b) Select the equation that correctly describes the work done by the spring to stop the mass. Ow=-kx? OW=- *fk x dx + , m v OW=-kx dx Ow= f *f k x dx OW= - *k x dx - , m v? OW = - * F x dx Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (c) Evaluate the relationship in part (b) to arrive at an expression for the work done in terms of known variables. Part (d) Solve for the numerical value of the work done in Joules given that x; = 0, x = 68 cm, and k= 145 N/m. W = - 33.5 W = -33.5 / Correct!