Figure 1 Conservative force versus position Potential energy versus x C x (m) Figure 2 Potential energy versus position [Answer in 3 significant figures] Which label indicate a stable equilibrium? What is the x value at labelB where potential energy is zero? What is the maximum speed of the ball? What is the potential energy of the ball at x 10 m? Where is the turning point of the ball if there is one? B. (r) n

A 74 kg skier has a speed of 9.2 m/s at point A. She then encounters a 1.75 m deep dip in the snow's surface that has a circular cross section with a radius of curvature of 12 m. Note: You may ignore friction in this problem. a.) How large is the normal force exerted by the snow on the skier at point B? N b.) How much work is done by the normal force on the skier from point A to point B? J 1.75 m r = 12 m

4. Two identical masses are suspended by strings wrapped around identical frictionless pulleys, except that a heavy metal ring has been added to one of the pulleys. The masses are released from rest and allowed to fall to the ground. How does the final kinetic energy of the falling mass compare between the two systems? Clearly explain your line of reasoning using physics concepts and equations. m m

2. The potential energy function associated with a force acting on a system is U = 3x3 – 5x. a) What is the equation for force for this system? b) Draw a graph of the potential energy. Indicate the points of equilibrium and note whether they are stable, unstable or neutral.

Part A A ski tow operates on a slope of angle 15.8° of length 260 m. The rope moves at a speed of 11.3 km/h and provides power for 47 riders at one time, with an average mass per rider of 75.0 kg. Estimate the power required to operate the tow. Express your answer in watts. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of A "power climb". A) ? b |X| х-101 P = W Submit Previous Answers Request Answer

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Part A How much work must you do to push a 13 kg block of steel across a steel table at a steady speed of 1.3 m/s for 5.4 s? The coefficient of kinetic friction for steel on steel is 0.60. Express your answer in joules. %3D push = J Submit Request Answer Part B What is your power output while doing so? Express your answer in watts. ΑΣφ P = W %3D Submit Request Answer Next >

Problem 1 A 1-kg block is 3 meters from a light spring. The coefficient of kinetic friction between the floor and the block is 0.25 (the coefficient of friction is the same on the entire surface). The block has a speed of 3 m/s when it hits the spring that has a force constant of 50 N/m. The block comes to rest when it has compressed the spring a maximum distance d. Find: 1. The speed of the object at the beginning of the 3 meters. 2. The value of the maximum compression d. k m

A 500 kg cart rests atop a hill 30.0 m high on a roller coaster. Its gravitational potential energy is measured relative to the bottom of the hill. The cart then rolls down the hill. Which of these best describes what is happening in this situation?   a. the total mechanical energy of the cart is decreasing, the kinetic energy of the cart is increasing, and the gravitational potential energy of the cart is increasing   b. the total mechanical energy of the cart is increasing, the kinetic energy of the cart is increasing, and the gravitational potential energy of the cart is increasing   c. the total mechanical energy of the cart is increasing, the kinetic energy of the cart is increasing, and the gravitational potential energy of the cart is decreasing   d. the total mechanical energy of the cart is increasing, the kinetic energy of the cart is decreasing, and the gravitational potential energy of the cart is increasing   e. the total mechanical energy of…

A clever engineer designs a "sprong" that obeys the force law F₂ = -q(x - x)³, where x is the equilibrium position of the end of the sprong and q is the sprong constant. For simplicity, we'll let xe =0 m. Then F₂ =-qx³