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Section 4.6 Free-Body Diagrams
4.25 Crates A and B sit at rest side by side on a frictionless horizontal surface. They have masses mA and mB, respectively. When a horizontal force
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University Physics with Modern Physics (14th Edition)
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- Problem 5: An object of mass m has these three forces acting on it (there is no normal force, "no surface"). F = 3 N, F2 = 10 N, and F3 = 5 N. When answering the questions below, assume the x-direction is to the right, and they-direction is straight upwards. F, F What is the net force in component form, in terms of F1, F2, F3, and the unit vectors i and j F = 7 8 HOME a F| i j 4 5 y d. F1 1 | 2 3 F2 F3 +| - END h P vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! What is the magnitude of the net force, in newtons? What is the angle e, in degrees, of the net force, measured from the +x-axis? Enter an angle between -180° and 180°. What is the magnitude, Ja of the acceleration, in meters per square second, if the block has a mass of 8.9 kg?arrow_forwardDuring a time interval of one second, a ball moves in the +x or -x direction (that is, to the right or the left), and a net force acts on the ball in the +x or -x direction. For each motion listed below, check all the descriptions of net force that could produce that behavior. More than one description may be valid for a particular motion.arrow_forwardWhich of the following is incorrect regarding Newton's Third Law of Motion? O A force acting on a body is always the results of its interaction with another body. Whenever two bodies interact, the two forces that they exert on each other are always equal in magnitude and direction. Forces always comes in pairs, that is for every action, there an equal but opposite reaction. The force exerted by a on bis equal to (-)force exerted by b on aarrow_forward
- The initially stationary 27-kg block is subjected to the time-varying horizontal force whose magnitude P is shown in the plot. Note that the force is zero for all times greater than 10 s. Determine the time ts at which the block comes to rest.arrow_forwardA particle, which remains at rest, is acted on by three forces, P, Q and R, and no others, as shown in the diagram attached. The force P acts horizontally to the left, the force Q acts vertically upwards and the force R acts downwards and to the right at an angle of 30◦ to the horizontal. The magnitude of P is 52 N. Let the magnitudes of Q and R in newtons be Q and R respectively. Take the Cartesian unit vectors i and j to be in the opposite direction to P and in the same direction as Q, respectively. a) Find expressions for the component forms of the three forces P, Q and R. b) Hence or otherwise find Q to two significant figures.arrow_forwardTwo blocks of masses m and m2 (m1 > m2) are placed on a frictionless table in contact with each other. A horizontal force of magnitude F is applied to the block of mass m, in the figure below. F (a) If P is the magnitude of the contact force between the blocks, draw the free-body diagrams for each block. (Do this on paper. Your instructor may ask you to turn in this work.) (b) What is the net force on the system on the system consisting of both blocks? (Use the following as necessary: P and F.) Fnet (c) What is the net force acting on m1? (Use the following as necessary: P and F.) Fnet,1 = (d) What is the net force acting on m2? (Use the following as necessary: P and F.) Fnet,2 = (e) Write the x-component of Newton's second law for each block. (Do this on paper. Your instructor may ask you to turn in this work.) (f) Solve the resulting system of two equations and two unknowns, expressing the acceleration a and contact force P in terms of the masses and force. (Use the following as…arrow_forward
- The two tug boats pull the oil rig to travel in the direction shown in calm water. (See left directed arrow). Tug A pulls with a force of 30 kN directed at the angle alpha of 47 deg and Tug B pulls at the angle beta of 36 deg. Determine the pull force of Tug B so the oil rig travels in the direction of the x axis. Determine the force of Tug B in kN. The oil rig is subjected to the towing forces described in P5 and travels in the direction shown at a constant velocity of 0.9 km/hr when tugs. Determine the 'drag' force exerted by the water on the oil rig in kN.")arrow_forwardIn the figure, a horizontal force of 100 N is to be applied to a 10 kg slab that is initially stationary on a frictionless floor, to accelerate the slab. Block Slab 100 N A 10 kg block lies on top of the slab; the coefficient of friction u between the block and the slab is not known, and the block might slip. Considering that possibility, what is the possible range of values for the magnitude of the slab's acceleration aslab? (Hint: You don't need written calculations; just consider extreme values for u .) Block Slab 100 N Number Units to Number Units What is the possible range for the magnitude ablock of the block's acceleration? Block Slab 100 N Number Units Number Unitsarrow_forwardTwo blocks connected by a light horizontal rope sit at rest on a horizontal, frictionless surface. Block A has mass 12.5 kg, and block B has mass m. A constant horizontal force F = 60.0 N is applied to block A (Figure 1). In the first 5.00 s after the force is applied, block A moves 18.0 m to the right. Figure B A 1 of 1 F E Part A While the blocks are moving, what is the tension I in the rope that connects the two blocks? Express your answer with the appropriate units. T = Submit Value Request Answer Part B Complete previous part(s) Provide Feedback Units ?arrow_forward
- Three blocks of mass m, 2m, and 3m are placed adjacent to each other on a frictionless, horizontal surface as shown below. A constant force of magnitude F is applied to the right. Which of the following statements is true?arrow_forwardWhile a person is walking, his arms {with typical lengths 70 cm measured from the shoulder joint) swing through approximately a 45 angle in 0.5 s. As a reasonable approximation, we can assume that the arm moves with constant speed during each swing. Find the magnitude of the force that the blood vessel must exert on the drop of blood. Express your answer using two significant figures. Find the direction of the force that the blood vessel must exert on the drop of blood What force would the blood vessel exert if the arm were not swinging? Express your answer using two significant figures. Mars rotates on its axis once every 24.8 hours, its mass is 6.42 Times 1023 kg and its radius is 3.37 Times 106 m What is the free-fall acceleration on Mars? Express your answer using three significant figures. Estimate the maximum speed that an astronaut can walk on the surface of Mars. Express your answer using two significant figures.arrow_forwardThe frame has an original loading system of four applied forces and one applied couple moment. Replace this loading system by an equivalent resultant force and couple moment acting at point B. 1 (FR), (MR)B, B F, F3 B A (FR), d3 F4 da Original System Equivalent System Assume the following values: di = 0.990 m , d2 = 1.14 m , d3 = 0.540 m , d4 = 2.08 m , Fi = 502 N , F2 = 300 N, F = 508 N , F4 = 402 N , and MA = 1507 N - m Express the Cartesian components of the resultant force and the couple moment in newtons and newton-meters to three significant figures separated by commas. • View Available Hint(s) Πνα ΑΣφ I | vec (FR)1, (FR)y, (MR)B = N, N , Ν.marrow_forward
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