1. [-/1 Points] DETAILS SERPSE 10 7.2.OP.001. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A raindrop of mass 3.06 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 75 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. [-/1 Points] DETAILS SERPSE10 7.2.P.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A man pulled a 23.0 kg object 13.2 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.) N Need Help? Read It 3. [-/1 Points] DETAILS SERPSE10 7.2.P.002. MY NOTES ASK YOUR TEACHER3. [1'1 Points] SERPSE1O 7.2.P.002. ASK YOUR TEACHER The record number of boat lifts, including the boat and its ten crew members, was achieved by Sami Heinonen and Juha-Matti Rasanen of Finland in 2000. They lifted a total mass of 653.2 kg approXImately 4 in. off the ground a total of 24 times. Estimate the total work done by the two men on the boat in this record lift, ignoring the negative work done by the men when they lowered the boat back to the ground. |:|J Need Help? 4. [-!1 Points] SERPSE1O 7.2.P.004.M|. ASK YOURTEACHER PRACTICE ANOTHER Spiderman, whose mass is 70.0 kg, is dangling on the free end of a 11.6-mIong 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 9 = 5&0\" angle with the vertical. How much work was done by the gravitational force on Spiderman in this maneuver? :e Need Help? 5. [f1 Points] SERPSE1O 7.3.0P.006.MI. ASK YOUR TEACHER PRACTICE ANOTHER _, A force F = (Bi 3 j) N acts on a particle that undergoes a displacement A? = (4i + i) m. (a) Find the work done by the force on the paiticle. |:|J 4, (hi What it: the nale between F and A}? 5. [f1 Points] I DETAILS SERPSE1O 7.3.0P.006.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER I _, A force F = (Bi 7 3 j) N acts on a particle that undergoes a displacement A? = (4i + i) m (5) Find the work done by the force on the particle. |:| J 4' a (b) What is the angle between F and Al"? |:| \" Need Help? _'_ 6. [f1 Points] DETAILS SERPSES 7.P.D14.WI. MY NOTES ASK YOUR TEACHER The force acting on a particle varies as shown in the figure below. Fx (N) 5 4- 2 2 4 5 : mm) 72 (a) Find the work done by the force on the particle as it moves from x = (3 m to x = 8 m. |:l J (b) Find the work done by the force on the particle as it moves from x = S m to x = 12 m. |:l J (c) Find the work done by the force an the particle as it moves from x = D m to x = 12 m. :J 7. lJ'1 Points] SERPSE10 7.4.0P.010. ASK YOUR TEACHER PRACTICE ANOTHER At an archery event, a woman draws the string of her how back 0382 m with a force that increases steadily from D to 217 N. (a) What is the equivalent spring constant (in mel of the bow? (b) How much work (in J) does the archer do on the string in drawing the bow? :1 Need Help? 5. [40.999999999999999 Points] SERP5E10 7.4.0P.009. ASK YOUR TEACHER PRACTICE ANOTHER A light spring obeys Hooke's law. The spring's unstretched length is 33.0 cm. One end of the spring is attached to the top of a doorframe and a weight with mass 7.75 kg is hung from the other end. The final length of the spring is 43.0 cm. (a) Find its spring constant (in Wm}. (b) The weight and the spring are taken down. Two people pull in opposite directions on the ends ofthe spring, each with a force of 150 N. Find the length (in m) of the spring in this situation. |:|m (c) What In What would be the length (in m) of the spring if it were now attached to the vertical portion of the doorframe and stretched horizontally by a single person exerting a force of 150 N? :m Need Help? 9. [J'1 Points] SERPSE10 7.4.P.010. ASK YOUR TEACHER PRACTICE ANOTHER In a control system, an accelerometer consists of a 5.07-g object sliding on a calibrated horizontal rail. A low-mass spring attaches the object to a ange at one end of the rail. Grease on the rail makes static friction negligible, but rapidly damps out vibrations of the sliding object. When subject to a steady acceleration of 0.8569, the object should be at a location 0.490 cm away from its equilibrium position. Find the force constant of the spring required for the calibration to be correct. :rem Need Help? _ 10. [-I1 Points] SERPSE1OT.4.P.01B. ASK YOUR TEACHER PRACTICE ANOTHER a ' .. a (a) A force F = (le + 4\"), where F is in newtons and x and y are in meters' acts on an object as the object moves in the Xedirection from the origin to x = 5.19 m. Find the work w = f; - d: done by the force on the object (in J). |:|J (b) What 11'? Find the work W = j; - d: done by the force on the object (in 1) 'if it moves from the origin to (5.19 m, 5.19 m) along a straight-line path making an angle of 45.0D with the positive xaxis. |:| 1 Is the work done by this force dependent on the path taken between the initial and nal points? 0 independent 0 dependent Need Help? _'_