Question 9) During a board game called Rat TrapO, mechanical contraptions are activated in a sequence of events. During the sequence illustrated below, a 50.0 g marble is hit by a lever and travels down a zig-zag ramp. v3D? The marble loses 2.0 J of energy due to resistance forces. It arrives at the bottom of the ramp at a speed of 13 m/s. The top of the ramp is 17 cm above the ground and the bottom is 4.0 cm above the ground. 17 cm What is the speed of the marble once it has been hit by the lever? 4.0 cm

An ice cube is placed in a microwave oven. Suppose the oven delivers 135 W of power to the ice cube and that it takes 34200 J to melt it. How long does it take for the ice cube to melt? t= mins

A cart of mass 25.1 kg is initially at rest on a flat surface. You exert a force with magnitude FYc(x) = Foe−(x/xa) atθ = 56.8◦ as shown, where Fo = 200.2 N and xa = 5 m. Note: x represents the horizontal displacement of the cart.  What is the speed of the cart after it has traveled from x = 0 to 6 meters? The wheels of the cart are frictionless,massless, and roll without slipping.

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mechanics

5.6 N/m3. The particle's speed at A, where xA A particle of mass 3.4 kg is constrained to move along the x-axis under a single force F(x) = -cx', where c = m/s) at B, where xB 1.0 m, is 6.3 m/s. What is its speed (in = -2.0 m? m/s

A 50kg open cart is rolling to the left at a speed of 3 m/s. There is a chute for packages to slide down to land in the cart to reach their destination. A 15 kg package slides down the chute and leaves the end with a horizontal speed of 4 m/s. The end of the chute is 4 meters above the open cart. a. What is the speed of the package just before it hits the cart? (this is a free fall problem) b. What is the final speed of the package-cart system? (this is a collision problem)

A particle, starting from point A in the drawing (the height at A is 3.00 m), is projected down the curved runway. Upon leaving the runway at point B, the particle is traveling straight upward and reaches a height of 5.02 above the floor before falling back down. Ignoring friction and air resistance, find the speed of the particle at point A. I

A 6.2 kg object is moving in the positive x direction. When it passes through x = 0, a constant force directed along the axis begins to act on it. The figure here gives its kinetic energy K versus position x as it moves from x = 0 to x = 5.0 m; Ko = 23 J. The force continues to act. What is speed v when the object moves back through x = -2.9 m? K (J) Ko x (m)

A diver of mass 68 kg stands on a diving board 5.0 m above a pool. At the moment of the jump, the diving board transfers its 3400 J of energy to the diver, who leaves the board at an angle of 35°. a. What is the speed of the diver just before they enter the water? b. Suppose that when the diver enters the water, they experience an acceleration of a->water= +4 m/ss J. What is the minimum depth of the pool necessary so that this diver comes to rest exactly at the bottom of the pool