College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total gravitational force on the body, F, is supported by the force g' n exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure b, where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T, R, and 0 when F = n = 780 N. (For 0, enter the smaller of the two possible values between 0° and 90°.) -Achilles tendon Tibia 15.0° 18.0 cm 25.0 cm b T = R =arrow_forwardThe figure below shows a claw hammer being used to pull a nail out of a horizontal board where ? = 27.3°. The mass of the hammer is 1.00 kg. A force of 165 N is exerted horizontally as shown, and the nail does not yet move relative to the board. Assume the force the hammer exerts on the nail is parallel to the nail. A hand uses a hammer to pull a nail out of the ground. The head of the hammer is curved and touches the ground at a single point of contact at the center of the head. The nail in the ground makes an acute angle ? clockwise from the vertical. The nail is hooked in the hammer claw 5.00 cm horizontally to the left of the hammer head's point of contact to the ground. The hand pulls the hammer handle horizontally to the right 30.0 cm above the ground with a force vector F.(a) Find the force exerted by the hammer claws on the nail.magnitude kNdirection ° above the horizontal (b) Find the force exerted by the surface on the point of contact with the hammer head.( î + ĵ)…arrow_forwardTwo children push on opposite sides of a door during play. Both push horizontally and perpendicular to the surface of the door. One child pushes with a force of 18.5 N at a distance of 0.625 m from the hinges, and the second child pushes at a distance of 0.47 m. a) What is the magnitude of the force, in newtons, the second child must exert to keep the door from moving? Assume friction is negligible. F2 =arrow_forward
- A small box of mass m1m1 is sitting on a board of mass m2m2 and length LL (Figure 1). The board rests on a frictionless horizontal surface. The coefficient of static friction between the board and the box is μsμs μsμs Throughout the problem, use gg for the magnitude of the free-fall acceleration. In the hints, use ff for the magnitude of the friction force between the board and the box. Find Fmin, the constant force with the least magnitude that must be applied to the board in order to pull the board out from under the the box (which will then fall off of the opposite end of the board) Express your answer in terms of some or all of the variables μsμs m1m1 m2m2 g L Do not include ff in your answer.arrow_forwardA 14.0 m uniform ladder weighing 480 N rests against a frictionless wall. The ladder makes a 55.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude 342.35 direction vertical force magnitude direction towards the wall up m N ✪ N (b) If the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground? (c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips?arrow_forwardWhat is the force of static friction between the top and bottom blocks assuming the surface is frictionless and the surface between top and bottom blocks has no slipping?arrow_forward
- When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total gravitational force on the body, F, is supported by the force n exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure b, where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T, R, and e when F, = n = 675 N. (For e, enter the smaller of the two possible values between 0° and 90°.) Achilles tendon Tibia 15.0° 18.0 cm 25.0 cm T = N R = N Need Help? Read Itarrow_forwardThe image below depicts the Apollo 16 Lunar Module (LM) on the moon's surface. The diagram to the right is a model of one of the four landing gear assemblies. Determine the force supported by members AB, AC, and AD under the assumption that the weight of the LM is uniformly distributed by all four landing gear assemblies. Use Mathematica or an online calculator such as the WolframAlpha 3 Equation System Solver to solve the 3 x 3 system of equations that you will end up with. Z NASA X A (2.5, 2.5, -2.2) m B (1.5, 1.5,0) m C(2, 1,-1.2) m D(1,2,-1.2) m B Darrow_forwardma tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the right, four students pull with force 87 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the right, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction? net pull N to the Select an answer v %3D TA 8088 ni pnibne inuarrow_forward
- When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total is supported by the force n exerted by the floor on the toes of one foot. A mechanical gravitational force on the body, F model of the situation is shown in Figure b, where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T, R, and 0 when F, = n = 770 N. (For 0, enter the smaller of the g' two possible values between 0° and 90°.) -Achilles tendon Tibia 15.0° 18.0 cm 25.0 cm a T = R = N = Submit Answerarrow_forwardProblem 5: Fr Fm Bone -Muscle 100 30 cm W 4 cm 40 cm A simplified model of a human arm holding a weight is shown on the right. The length of the forearm is 40 cm and it has a mass of 1.7 kg. The bicep muscle is attached 4 cm in from the elbow joint and makes an angle of 73° with the forearm. The weight in the person's hand has a mass of 5 kg. a) What is the magnitude of the force provided by the bicep muscle needed to keep their arm at rest? b) What is the magnitude and direction of the force acting at the elbow (F;) in that same case?arrow_forwardB 60° Figure 3 L A 5. A beam AB of length 10m and negligible mass leans against a wall at an angle of 60° to the horizontal. It is held at B by a string as shown. There is no friction at either of the ends A or B. A koala of mass M = 10 kg climbs up the beam from B. If the breaking tension of the string is 40 N, find the distance reached by the koala just before the string cannot support any more weight and breaks.arrow_forward
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