1. [-/20 Points] DETAILS SERPSE10 7.2.OP.001. MY NOTES ASK YOUR TE A raindrop of mass 3.24 x 10" kg falls vertically at constant speed under the influence of gravity and air resistance. Model the drop as a particle. (a) As it falls 50 m, what is the work done on the raindrop by the gravitational force? (b) What is the work done on the raindrop by air resistance? Need Help? Read It Watch It 2. [-/20 Points] DETAILS SERPSE10 7.2.OP.003. MY NOTES ASK YOUR TE A dock worker pushes a m = 2.40 kg box a distance d = 5.00 m along the floor by a constant force of magnitude F = 16.0 N directed at an angle @ = 20.0 below the horizontal as shown in the figure. Assume the floor is frictionless. (Enter your answers in joules.) (a) Determine the work done on the box by the applied force (the force on the box exerted by the dock worker). (b) Determine the work done on the box by the normal force exerted by the floor. (c) Determine the work done on the box by the gravitational force. (d) Determine the work done by the net force on the box.3. [-/20 Points] DETAILS SERPSE10 7.3.OP.005. For A= 2i + 2j - 2k, B = -5i + j + k, and C = 5j - 5k, find C . (A - B). Need Help? Read It Watch It 4. [-/20 Points] DETAILS SERPSE10 7.5.OP.016. A ball with a mass of 2.60 kg is moving with velocity (6.601 - 1.80]) m/s. (HINT: v2 = v . V.) (a) What is the ball's kinetic energy (in ]) at this velocity? (b) Find the net work (in ]) on the ball if its velocity changes to (8.001 + 4.00j) m/s. Need Help? Read It 5. [-/20 Points] DETAILS SERPSE10 7.8.OP.027. A particle is acted on by a conservative force, F = (-Ax + Bx )i N, where A and B are constants, and x is in meters. (For your answers, use the following as necessary: A, B, and x.) (a) Determine the potential energy function (in ]) for F, where U = 0 at x = 0. U ( x ) = (b) Determine the change in potential energy (in ]) as the particle moves from x = 1.40 m to x = 4.00 m. AU = (c) Determine the change in kinetic energy (in ]) as the particle moves from x = 1.40 m to x = 4.00 m. AK =