Two blocks are positioned on surfaces, each inclined at the same angle of 42.7 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 4.44 kg, and this time there is NO friction. 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?     7.03 kg     2.94 kg     10.55 kg     4.69 kg

Two people are pulling a heavy 95 kg box across the floor as shown in the figure. Person A is pulling in the x-direction only with a force of 20 N. Person B is pulling at an angle e = 40° above the x-direction, also with a force of 20 N. What is the total pulling force on the box in the x-direction?

Two blocks are positioned on surfaces, each inclined at the same angle of 47.2 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 7.58 kg, and this time there is NO friction. 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? 1 7.71 kg 2 11.57 kg 3 6.08 kg 4 17.36 kg

Two blocks are positioned on surfaces, each inclined at the same angle of 55.7 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 2.73 kg, and this time there is NO friction. 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. 2.65 kg b. 3.97 kg c. 1.23 kg d. 5.96 kg

A fuzzy die (m = 0.2 kg) hangs from the ceiling of a car. When the car accelerates forward along a horizontal road, the die swings backward so that the string supporting it makes an angle of 4° with the vertical. What is the acceleration of the car?

A 63.0-kg box is pulled by a rope making an angle of  θ = 22.0°  with the horizontal. The tension in the rope is  34.5 N.  (Assume the surface the box slides across is frictionless.)If the box starts from rest, determine the time required to move the box a horizontal distance of 2.67 m.

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−2

A 60 kg block slides along the top of a 100 kg block.  The lighter block has an acceleration of 3.8 m/s2 when a horizontal force F= 390 N is applied.  Assuming there is no friction between the bottom 100 kg block and the horizontal frictionless surface but there is friction between the blocks.  Find the acceleration of the 100 kg block during the time the 60 kg block remains in contact.