A B Pull Horizontal table
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You pull horizontally
on block B in Fig. E4.26, causing
both blocks to move together
as a unit. For this moving system,
make a carefully labeled freebody
diagram of block A if (a) the
table is frictionless and (b) there is
friction between block B and the table and the pull is equal in magnitude
to the friction force on block B due to the table.
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- An object (m = 5.00 kg) is sliding down the incline plane which sits on a table of a height H = 1.50 m as shown in the figure. The angle that the inline makes with the horizontal is 35.0°. %3D The objects slides a distance of 1.00 m down the incline in 3.00 s. The incline is not frictionless. (a\) Draw a labeled and scaled FBD showing all the forces acting on the object while it is on the ramp. (b) Find the magnitude of acceleration of the object down the incline. (c) Find the coefficient of kinetic friction between the object and the incline. (d) What is the work done by the force of friction? (e) When the object gets to the bottom of the plane, it follows a projectile path. How far from the edge of the table (x) does it land?A box, initially at rest, is pushed up a ramp that makes an angle of 15◦ with the horizontal as shown in the diagram. The magnitude of the pushing force is 8m newtons, where m is the mass of the box in kilograms. The force is in a direction parallel to and up the ramp. The coefficient of sliding friction between the box and the ramp is 0.25. Model the box as a particle and take the magnitude of the acceleration due to gravity to be g = 9.8 m s−2 . Express the four forces in component form in terms of unknown magnitudes where appropriate and find an expression for the resultant force acting on the box. Hence find the magnitude of the acceleration of the box, in m s−2The nucleus of Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons). (a) What is the force between the two alpha particles when they are 3.00 x 10-15 m apart? N (b) What is the initial magnitude of the acceleration of the alpha particles due to this force? Note that the mass of an alpha particle is 4.0026 u. m/s²
- A block of mass m1 = 40 kg on a horizontal surface is connected to a mass m2 = 16.0 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. The coefficient of kinetic friction between m1 and the horizontal surface is 0.23. (a) What is the magnitude of the acceleration (in m/s2) of the hanging mass? (b) Determine the magnitude of the tension (in N) in the cord above the hanging mass.Two blocks are positioned on surfaces, each inclined at the same angle of 47.7 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 6.35 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.560. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the LEFT at an acceleration of 1.5 m/s^2? a. 3.09 kg b. 4.85 kg c. 38.41 kg d. 20.24 kgA block is placed on the midpoint of a ramp that is inclined at an angle of 39.8º from the horizontal, at which point the block immediately starts to slide down the ramp due to the fact that the static friction limit for this particular case is insufficient to hold the block in place. If the coefficient of kinetic friction between the block and the ramp is 0.277 , what is the magnitude of the acceleration of the block as it slides down the ramp.
- The nucleus of Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons). (a) What is the force between the two alpha particles when they are 3.16 x 10-15 m apart? N (b) What is the initial magnitude of the acceleration of the alpha particles due to this force? Note that the mass of an alpha particle is 4.0026 u. m/s2Two blocks are positioned on surfaces, each inclined at the same angle of 54.3 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 3.02 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.600. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the RIGHT at an acceleration of 1.5 m/s^2? 2.70 kg 0.80 kg 0.71 kg 0.96 kgFigure 1 В А Three blocks, labeled A, B, and C, are connected by essentially massless strings that run over essentially massless and frictionless pulleys (as shown in Figure A above). Block A hangs straight down. The string from block A connects to block B which is sliding up and to the left along an inclined plane. The plane is inclined at an angle of theta = 0 = 52 degrees away from vertical. The coefficient of kinetic friction between block B and the plane is 0.38. Block B is connected by a different string to block C which hangs straight down. Block A has a mass of 4.1 kg. Block B has a mass of 3.7 kg. Block C has a mass of 2.5 kg. Block A is moving down and block C is moving up (the strings do not stretch). The only significant forces acting on the blocks are friction acting on block B, normal forces, tension forces, and gravity (with g = 9.81 m/s²). Calculate the %3D acceleration (in units of meters per second squared) of block A. For block A, a downward acceleration is…