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Over the Christmas break, you are making some extra money for buying presents by working in a factory, helping to move crates around. At one particular time, you find that all the handtrucks, dollies, and carts are in use, so you must move a crate across the room a straight-line distance of 35.0 m without the assistance of these devices. You notice that the crate has a rope attached to the middle of one of its vertical faces. You decide to move the crate by pulling on the rope. The crate has a mass of 130 kg, and the coefficient of kinetic friction between the crate and the concrete floor is 0.350. (a) Determine the angle relative to the horizontal at which you should pull upward on the rope so that you can move the crate over the desired distance with the force of the smallest magnitude. (b) At this angle of pulling on the rope, how much work do you do in dragging the crate over the desired distanced?
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Chapter 7 Solutions
Physics for Scientists and Engineers with Modern Physics
- You are pushing a metal crate against a metal floor. The two surfaces have a static coefficient of friction of 0.62 and a kinetic coefficient of friction of 0.50. The floor is horizontal, and the crate has a mass of 25.0 kg. What is the minimum force you need to apply to get the crate moving from rest? Give your answer in units of N, to three significant figures.arrow_forwardTwo boxes are connected to each other by a string as shown in the figure. The 10-N box slides without friction on the horizontal table surface. The pulley is ideal and the string has negligible mass. What is true about the tension I in the string? 10N 30N OT> 30 N OT= 30 N OT= 20 N OT= 10 N OI< 30 Narrow_forwardA 0.5 kg object moves in a horizontal circular track with a radius of 2.5 m. An external force of 3.0 N, acting always tangent to the track, causes the object to speed up as it goes around. If it starts from rest, its speed at the end of one revolution is:arrow_forward
- Two blocks of mass m1 = 3.0kg and m2 = 2.5kg are attached with a rope. The rope goes around several ideal pulleys. Two of the pulleys are attached directly to the ceiling (grey shaded region at the top) and will not move up or down. The lower pulley will move with block 1. Block 1 is free hanging and will move vertically. Block 2 rests on an inclined ramp at angle θ = 30°. The ramp is frictionless. Block 1 is observed to accelerate upwards. The experiment is done on earth, g = 9.8 m/s2 What is the tension in the long rope? by using variables onlyarrow_forwardDetermine the magnitude of the y-component of the reaction force at pin A (in kN). The beam AB is a standard 0.5 m I-beam with a mass of 95 kg per meter of length. 14 l A 0.25 m 0.5 m 0.12 m 5 m 25° 1.5 m 10 kN Barrow_forwardA "swing" ride at a carnival consists of chairs that are swung in a circle by 16.9 m cables attached to a vertical rotating pole, as the drawing shows. Suppose the total mass of a chair and its occupant is 133 kg. (a) Determine the tension in the cable attached to the chair. (b) Find the speed of the chair.arrow_forward
- A man stands on the lateral surface of a cylinder, moves his legs, and moves the cylinder with constant speed (see figure). Considering that the coefficient of friction between the shoes and the cylinder is mu = 0.3. What will be the friction force between the cylinder and the man. The mass of man m = 70 Kg.arrow_forwardIt is not possible to see very small objects, such as viruses, using an ordinary light microscope. An electron microscope can view such objects using an electron beam instead of a light beam. Electron microscopy has proved invaluable for investigations of viruses, cell membranes and subcellular structures, bacterial surfaces, visual receptors, chloroplasts, and the contractile properties of muscles. The "lenses" of an electron microscope consist of electric and magnetic fields that control the electron beam. As an example of the manipulation of an electron beam, consider an electron traveling away from the origin along the x axis in the xy plane with initial velocity v, = vị. As it passes through the region x = 0 to x = d, the electron experiences acceleration a = aî + aj, where a, and a, are constants. For the case v, = 1.78 × 107 m/s, a, = 7.50 x 1014 m/s?, and a, = 1.62 x 1015 m/s?, determine the following at x = d = 0.0100 m. (a) the position of the electron m (b) the velocity of…arrow_forwardYou have applied for a great summer job working with a special effects team at a movie studio. As part of your interview you have been asked to evaluate the design for a stunt in a new Indiana Jones production. A large spherical boulder starts from rest and rolls down an inclined track. At the bottom, the track curves up into a vertical circle so that the boulder can roll around on the inside of the circle and come back to ground level. It is important that the boulder not fall off the track at the top of the circle and crush the star standing below. You have been asked to determine the relationship between the heights of the boulder’s starting point on the ramp (measured from the center of the boulder) and the maximum radius of the circular part of the track. You can determine the mass and the radius of the boulder should you need to know them. You have been told that the moment of inertia of a sphere is 2/5 that of a ring of the same mass and radius. After some thought you…arrow_forward
- It is not possible to see very small objects, such as viruses, using an ordinary light microscope. An electron microscope can view such objects using an electron beam instead of a light beam. Electron microscopy has proved invaluable for investigations of viruses, cell membranes and subcellular structures, bacterial surfaces, visual receptors, chloroplasts, and the contractile properties of muscles. The "lenses" of an electron microscope consist of electric and magnetic fields that control the electron beam. As an example of the manipulation of an electron beam, consider an electron traveling away from the origin along the x axis in the xy plane with initial velocity v,- vi. As it passes through the region x = 0 to x-d, the electron experiences acceleration a = a,i + aj, where a, and a, are constants. For the case v, = 2.00 x 10 m/s, a,- 7.52 x 1014 m/s, and a,- 1.68 x 10o15 m/s?, determine the following at x = d- 0.0100 m. %3D (a) the position of the electron (b) the velocity of the…arrow_forwardIt is not possible to see very small objects, such as viruses, using an ordinary light microscope. An electron microscope can view such objects using an electron beam instead of a light beam. Electron microscopy has proved invaluable for investigations of viruses, cell membranes and subcellular structures, bacterial surfaces, visual receptors, chloroplasts, and the contractile properties of muscles. The "lenses" of an electron microscope consist of electric and magnetic fields that control the electron beam. As an example of the manipulation of an electron beam, consider an electron traveling away from the origin along the x axis in the xy plane with initial velocity v, = vî. As it passes through the regic x = 0 to x = d, the electron experiences acceleration a = aî + aj, where a, and a are constants. For the case v, = 1.91 x 10 m/s, a = 8.21 x 1014 m/s?, and a, = 1.73 x 1015 m/s?, determine the following at x = d = 0.0100 m. (a) the position of the electron Y = m (b) the velocity of…arrow_forwardIt is not possible to see very small objects, such as viruses, using an ordinary light microscope. An electron microscope can view such objects using an electron beam instead of a light beam. Electron microscopy has proved invaluable for investigations of viruses, cell membranes and subcellular structures, bacterial surfaces, visual receptors, chloroplasts, and the contractile properties of muscles. The "lenses" of an electron microscope consist of electric and magnetic fields that control the electron beam. As an example of the manipulation of an electron beam, consider an electron traveling away from the origin along the x axis in the xy plane with initial velocity v, = vi. As it passes through the region x = 0 to x = d, the electron experiences acceleration a = aî + aj, where a, and a., are constants. For the case v, = 1.91 x 107 m/s, a = 8.21 x 1014 m/s?, and a. = 1.73 x 1015 m/s?, determine the following at x = d = 0.0100 m. (a) the position of the electron Y = X m (b) the…arrow_forward
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
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