Alex is asked to move two boxes of books in contact with each other and resting on a frictionless floor. He decides to move them at the same time by pushing on box A with a horizontal pushing force F, = (+8.20î )N. Here A has a mass ma = 13.3 kg and has a mass ma = 7.00 kg. The contact force between the two boxes is Fr and N denotes the normal force. F. m. (a) What is the magnitude of the acceleration of the two boxes? m/s² (b) What is the magnitude of the force F, exerted on m, by m,? N (c) If Alex were to push with the same magnitude of force |F from the other side on the 7.00 kg box, what would be the magnitude of the force F, exerted on m, by ma? (Assume the force F, on the left side is no longer present.) N

A block of mass M is suspended at rest by two strings attached to walls, as shown in the figure. The left string is horizontal with tension force T2 and and the right string with tension force T1 makes an angle θ with the horizontal. T1 is measured to be 47 N, and θ = 50.0°. What is the mass of the block, in kg? Use g = 10 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

Two blocks of mass M₁ and M₂ are connected by a massless string that passes over a massless pulley as shown in the figure. M₁ has a mass of 3.75 kg and rests on an incline of 0₁ = 65.5°. M₂ rests on an incline of 02 = 23.5°. Find the mass of block M₂ so that the system is in equilibrium (i.e., not accelerating). All surfaces are frictionless. M2 M₂ = kg

Two boxes A and B are connected by a lightweight cord and resting on a smooth (frictionless) table. The boxes have masses of 12 kg and 10 kg. A horizontal force of 40 N is applied to the 10 kg box. Find the tension in the cord connecting the boxes. O 27.21 N O 29.21 N O 27.65 N O 21.84 N