Please carefully take your time to do these Work and Energy questions from PCS211! Even though there are many questions, these questions are easy to solve!

1. [-/2 Points] DETAILS SERPSE 10 7.2.OP.001. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A raindrop of mass 3.04 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 130 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. [-/2 Points] DETAILS SERPSE 10 7.2.P.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A man pulled a 22.0 kg object 10.6 cm vertically with his teeth. (a) How much work (in ]) was done on the object by the man in this lift, assuming the object was lifted at constant velocity? (Include the sign of the value in your answer.) (b) What total force (in N) was exerted on the man's teeth during the lift? (Enter the magnitude.) IN Need Help? Read It4. [-/1 Points] DETAILS SERPSE10 7.2.P.004.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Spiderman, whose mass is 70.0 kg, is dangling on the free end of a 12.8-m-long rope, the other end of which is fixed to a tree limb above. By repeatedly bending at the waist, he is able to get the rope in motion, eventually getting it to swing enough that he can reach a ledge when the rope makes a 0 = 58.60 angle with the vertical. How much work was done by the gravitational force on Spiderman in this maneuver? kJ Need Help? Read It Master It 5. [-/1 Points] DETAILS SERPSE10 7.3.P.006. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Two vectors, A and B, have magnitudes of 4.95 units and 8.73 units, respectively. The angle between A and B is 49.50. What is A . B? A . B = Need Help? Read It 6. [-/1 Points] DETAILS SERPSE 10 7.3.OP.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER For A = 51 + j - 4k, B = -31 + j + 5k, and C = 5j - 5k, find C . (A - B). Need Help? Read It Watch It7. [-/1 Points] DETAILS SERPSE 10 7.3.P.007. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the scalar product of the vectors in the figure below, where 0 = 1220 and F = 31.0 N. X 1320 F 17.3 cm Need Help? Read It8. [-/3 Points] DETAILS SERPSE10 7.3.P.008. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Using the definition of the scalar product, find the angle between the following vectors. (Find the smallest nonnegative angle.) (a) A = 41 - 7] and B = 8i - 6j (b) A = -41 + 5j and B = 31 - 4j + 2k (c) A = 1 -2j + 2k and B = 3j + 4k Need Help? Read It11. [-/2 Points] DETAILS SERPSE10 7.5.OP.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A stone with a mass of 3.80 kg is moving with velocity (6.201 - 2.40j) m/s. (HINT: v2 = v . v.) (a) What is the stone's kinetic energy (in ]) at this velocity? (b) Find the net work (in ]) on the stone if its velocity changes to (8.001 + 4.00j) m/s. Need Help? Read It 12. [-/3 Points] DETAILS SERPSE10 7.5.P.021. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A 0.300-kg particle has a speed of 1.00 m/s at point @ and kinetic energy of 7.90 ] at point B. (a) What is its kinetic energy at ? (b) What is its speed at B? m/s (c) What is the net work done on the particle by external forces as it moves from A to B)? Need Help? Read It Watch It20. [-/1 Points] DETAILS SERPSE10 7.A.OP.030. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A person throws a 0.150 kg ball with a speed of 43.2 m/s at an angle of 28.0 to the horizontal. Calculate the kinetic energy (in ]) of the ball at its highest point in the trajectory. Need Help? Read It19. [-/2 Points] DETAILS SERPSE10 7.8.P.037. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The potential energy of a system of two particles separated by a distance r is given by the equation below, where A is a positive constant. = (4) n Find the radial force F that each particle exerts on the other. (Use any variable or symbol stated above as necessary.) IF = and is pointing ---Select--- | from the other particle Need Help? Read It