Block A in (Figure 1) is heavier than block B and is sliding down the incline. All surfaces have friction. The rope is massless, and the massless pulley turns on frictionless bearings. The rope and the pulley are among the interacting objects, but you'll have to decide if they're part of the system. B A Draw a free-body diagram for the block B Draw the vectors starting at the black dot. The location and orientation of the vectors will be graded. The length of the vectors will not be graded. v
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- cA car of mass M = 1500 kg traveling at 65.0 km/hour enters a banked turn covered with ice. The road is banked at an angle 0, and there is no friction between the road and the car's tires as shown in ( Figure 1). Use g = 9.80 m/s² throughout this problem. Figure 1 of 1 Part A What is the radius r of the turn if 0 = 20.0° (assuming the car continues in uniform circular motion around the turn)? Express your answer in meters. ► View Available Hint(s) r = Submit VE ΑΣΦ 20 ? Review | Constants | Periodic Table mA rocket takes off from Earth's surface, accelerating straight up at 75.2 m/s. Calculate the normal force (in N) acting on an astronaut of mass 85.4 kg, including her space suit. (Assume the rocket's initial motion parallel to the +y-direction. Indicate the direction with the sign of your answer.) HINT N
- A 65 kg person running at 2.0 m/s jumps onto the skim board at right. The skim board is 50 cm wide and 120 cm long, with an area of 0.60 m². Part A Draw a sketch of this situation. Part B If the person jumps onto the board on sand with a coefficient of friction of f=0.50, what force will resist the forward movement of the board [N]? Recall the friction force is the normal force times the coefficient of friction. Part C Now assume the person jumps onto the board on a 0.50 cm film of fresh water at 30°C. Use Newton's law of viscosity to estimate the force resisting the forward movement of the board.Two blocks are connected by a massless rope. The rope passes over an ideal (frictionless and massless) pulley such that one block with mass m1 = 12.25 kg is on a horizontal table and the other block with mass m2 = 7.5 kg hangs vertically. Both blocks experience gravity and the tension force, T. Use the coordinate system specified in the diagram. a.) Assuming friction forces are negligible, write an expression, using only the variables provided, for the acceleration that the block of mass m1 experiences in the x-direction. Your answer should involve the tension, T. b.) Under the same assumptions, write an expression for the acceleration, a2, the block of mass m2 experiences in the y-direction. Your answer should be in terms of the tension, T and m2. c.) Carefully consider how the accelerations a1 and a2 are related. Solve for the magnitude of the acceleration, a1, of the block of mass m1, in meters per square second. d.)Find the magnitude of the tension in the rope, T, in newtons.The two trees in (Figure 1) are 7.1 m apart. A backpacker is trying to lift his 29-kg backpack out of the reach of bears. Part A Calculate the magnitude of the force F that he must exert downward to hold the backpack so that the rope sags at its midpoint by 1.3 m. Express your answer to two significant figures and include the appropriate units. F = Submit Part B for Part A for Part do for Part redo for Part A reset for Part A keyboard shortcuts for Part A help for Part A Value F = Request Answer Calculate the magnitude of the force F that he must exert downward to hold the backpack so that the rope sags at its midpoint by 0.13 m. Express your answer to two significant figures and include the appropriate units. Units Value for Part B for Part B do for Part th redo for Part B resetor Part B keyboard shortcuts for Part B help for Part B Units
- Two blocks with masses mд and m³ are connected by a massless string over a massless, frictionless pulley. Block B, which is more massive than block A, is released from height h and falls. Part A Write an expression for the speed of the blocks just as block B reaches the ground. Express your answer in terms of some, all, or none of the variables mÃ, m³, h, and the free-fall acceleration g. V = Submit Part B xa h = Submit Π ΑΣΦ 0 Xb 016 μᾶ a Request Answer Value √x vx x 18 A 1.0 kg block and a 2.0 kg block are connected by a massless string over a massless, frictionless pulley. The impact speed of the heavier block, after falling, is 1.4 m/s. From how high did it fall? Express your answer with the appropriate units. Request Answer Units <४ = |X| www ? X.10nPart A A block lies on a plane raised an angle e fram the horizantal. Three forces act upon the block: Fw, the force of gravity. Fn. the narmal force; and Fr. the force of friction. The coefficient of friction is large enaugh to prevent the block from sliding (Figure 1). Consider coordinate system a, with the x axis along e plane. Which forces lie along the axes? O Ée arly O F, anly O F. only O ři and F. O ř and F. O řa and F. O ř and řa and ř. Submit Requect Ancwor Part B Which forces lie along the axes af the coordinate system b, in which the y axis is vertical? O F anly O F. anly O F. only O F and P, O ř and F. O F, and F. O řr and Fa and Ě, Submit Request Answer Usually the best advice is to choose a coordinate system so that the acceleration of the system is directly along one of the coordinate axes. If the system isn't accelerating, then you are better off choosing the coordinate system with the most vectors along the coordinate axes. But now you are gaing to ignore that advice.…Draw a free-body diagram for block A. The figure shows a block (mass ma) on a smooth horizontal surface, connected by a thin cord that passes over a pulley to a second block (mass mB), which hangs vertically. Ignore friction and the masses of the pulley and cord. (Figure 1) Draw the vectors starting at the black dots. The location and orientation of the vectors will be graded. The exact length of your vectors will not be graded. No elements selected Select the elements from the list and add them to the canvas setting the appropriate attributes. Submit Request Answer Figure 1 of 1 Part B Draw a free-body diagram for block B. MA Draw the vectors starting at the black dots. The location and orientation of the vectors will be graded. The exact length of your vectors will not be graded. MB No elements selected
- An 8.00 kg crate sits on an inclined plane that is inclined at 33.0 above the horizontal. The coefficient of kinetic friction between the crate and the surface of the plane is 0.300. A constant horizontal force F = 28.0 N is applied to the crate (Figure 1), and the crate moves down the plane. Part A If the crate is initially at rest, find its speed 2.00s after the force is applied? Express your answer with the appropriate units. HA Value Units Figure 1 of 1> Submit Request Answer Provide Feedback F 33.0°Pls help with the following and explain the right answer, thank you. part B. Find the direction of this force as the angle measured counterclockwise from the +x+�-axis directed horizontally to the right. Express your answer in degrees.Two 150 kg lead spheres are suspended from 100-m-long massless cables. The tops of the cables have been carefully anchored exactly 1 m apart. Part A By how much is the distance between the centers of the spheres less than 1 m? Express your answer to two significant figures and include the appropriate units. Ax = ¹"¯μA Value Units ?