Three objects are connected by light strings as shown in Figure P4.78. The string connecting the 4.00-kg object and the 5.00-kg 5.00 kg object passes over a light friction- less pulley. Determine (a) the acceleration of each object and (b) the tension in the two strings. | 4.00 kg 3.00 kg Figure P4.78

5.10 . In Fig. E5.10 the weight w is 60.0 N. (a) What is the ten- sion in the diagonal string? (b) Find the magnitudes of the hori- zontal forces F and F2 that must be applied to hold the system in the position shown. Figure E5.10 90.0° 90.0 F 45.0 90.0 Ans: (a) T=84.9 N (b) F1=F2= 60 N

57. QIC Three objects are connected on a table as shown in Figure P4.57. The coefficient of kinetic friction between the block of mass m, and the table is 0.350. The objects have masses of m₁ = 4.00 kg, m₂ = 1.00 kg, and ma = 2.00 kg as shown, and the pulleys are friction- less. (a) Draw a diagram of the forces on each object. (b) Determine the acceleration of each object, includ- ing its direction. (c) Determine the tensions in the two cords. (d) If the tabletop were smooth, would the ten- sions increase, decrease, or remain the same? Explain. my mo Figure P4.57 Mg

a 139 kg asteroid toward a processing dock, 59 N, F3 39 N, 1 = 30°, and 03 = = Three astronauts, propelled by jet backpacks, push and guide = 27 N, F2 exerting the forces shown in the figure, with F1 What is the magnitude of the asteroid's acceleration? = .x O a. 0.545 m/s² Olb. *0.899 m/s2 OC. 0.747 m/s² O d.o.300 m/s²

10.0 kg block on a table is connected by a string to a 63 kg mass, which is hanging over the edge of the table. Assuming that frictional forces may be neglected, what is the magnitude of acceleration of the 10.0 kg block when the other block is released? (See the figure.) |10.0 kg ... Table 63 kg A 8.1 m/s^2 B 7.5 m/s^2 8.5 m/s^2 D 6.9 m/s^2

An object rests on a horizontal frictionless surface. A horizontal force of magnitude F is applied. This force produces an acceleration: O only if F is larger than the weight of the object. O only while the object suddenly changes from rest to motion. O always. O only if the inertia of the object decreases. Onone of the given choices