Block 1 (20 kg) is pulled by a rope from left to right up a ramp which is inclined 50 degrees from the horizontal. The rope pulls on block 1 with a force of 400 N parallel to the surface of the inclined plane. The coefficient of kinetic friction between the block and the surface equals 0.4. (use g = 10 m/s2) On a sheet of paper, draw the free body diagram for block 1 using the two-subscript notation from class.Assume that the x-axis is parallel to the incline and positive in the direction up the incline.After completing the free body diagram, enter below each force and its x & y-components.   FORCES on BLOCK 1 Weight force on block 1 by Earth W1E =  i +  j N   Tension force on block 1 by Rope T1R =  i +  j N   Normal force on block 1 by Surface N1S =  i +  j N   Frictional force on block 1 by Surface f1S =  i +  j N     What is the acceleration a of block 1? a =  i +  j m/s2

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

y Problem 3: The diagram shows the all of the forces acting on a body of mass 2.31 kg. The three forces have magnitudes F₁ = 50.6 N, F2 = 20.8 N, and F3 = 75.8 N, with directions as indicted in the diagram, where 0 = 39.6 degrees and p = 30.1 degrees. The dashed lines are parallel to the x and y axes. At t = 0, the body is moving at a speed of 7.93 m/s in the positive x direction. Part (a) What is the x component of the acceleration in m/s²? ax = || Ę Lª F $ F