An object of mass m¡= 5kg placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging object of mass m2= 7kg as shown in figure. Calculate, (a) the acceleration (a) of the objects (b) the tension (T) in the string. (a) The acceleration of the objects (in m/s² is (b) The tension in the string (in Newtons) is

An object undergoes one-dimensional motion along the x-axis subject to the the decelerating force dv kv m dt 1+ x At time t = 0, the object's position is x = 0 and its velocity is v = v0. The decelerating force is a dv dv dx function of the object's position x(t) and velocity v(t). Using the fact that dt dx dt transform the differential equation into one having x as the independent variable. Solve for v as a function of x and vo then determine the position xf at which the object comes to rest. If the object does not come to rest then Xf = 0 (enter oo for infinity). dv dx xf = Question Help: O Message instructor Submit Question

As part (a) of the drawing shows, two blocks are connected by a rope that passes over a set of pulleys. One block has a weight of 412 N, and the other has a weight of 908 N. The rope and the pulleys are massless and there is no friction. (a) What is the acceleration of the lighter block? (b) Suppose that the heavier block is removed, and a downward force of 908 N is provided by someone pulling on the rope, as part (b) of the drawing shows. Find the acceleration of the remaining block. (a) Number i (b) Number i 412 N (a) Units Units 908 N 412 N (b) 908 N

Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 11,700 kg. The thrust of its engines is 29,000 N. (Assume that the gravitational acceleration on the Moon is 1.67 m/s2.) (a) Calculate (in m/s?) its magnitude of acceleration in a vertical takeoff from the Moon. (Enter a number.) X m/s2 (b) Could it lift off from Earth? If not, why not? O Yes, the thrust of the module's engines is greater than its weight on Earth. No, the thrust of the module's engines is less than its weight on Earth. O Yes, the thrust of the module's engines is equal to its weight on Earth. O No, the thrust of the module's engines is equal to its weight on Earth. If it could, calculate (in m/s?) the magnitude of its acceleration. (Enter a number. If not possible, enter NONE.) m/s2

Two blocks are connected by a massless rope over a massless, frictionless pulley, as shown in the figure. The mass of block 2 is m2 = 10.5 kg, and the coefficient of kinetic friction between block 2 and the incline is µg = 0.200. The angle 0 of the incline is 31.5°. If block 2 is moving up the incline at 2 constant speed, what is the mass m¡ of block 1? 1 kg mi =

(a) What happens to the gravitational force between two objects if their separation is doubled? (b) Two objects with masses of m,= 5 kg and m2= 8 kg are connected by a light string that passes over a frictionless pulley, as in figure. Determine (i) the acceleration of each object, (ii) the tension in the string and (iii) the distance each object will move in 0.8 s of motion if both objects start from rest. m2

Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 11,100 kg. The thrust of its engines is 26,000 N. (Assume that the gravitational acceleration on the Moon is 1.67 m/s².) (a) Calculate (in m/s²) its magnitude of acceleration in a vertical takeoff from the Moon. (Enter a number.) x m/s² (b) Could it lift off from Earth? If not, why not? Yes, the thrust of the module's engines is greater than its weight on Earth. O No, the thrust of the module's engines is equal to its weight on Earth. No, the thrust of the module's engines is less than its weight on Earth. Yes, the thrust of the module's engines is equal to its weight on Earth. If it could, calculate (in m/s2) the magnitude of its acceleration. (Enter a number. If not possible, enter NONE.) X m/s²

An object is acted on by two forces, 10i + 3j and  (with magnitudes in newtons). The object has an acceleration of 2ms-2 in the direction of the resultant force. What is the mass of the object in kilograms to two significant figures?

If the mass of the car is 2kg, what force would you need to apply to create an acceleration of 6.50m/s^2, 38.6 degrees below the positive x-axis? (Cartesian form)

1. Use equations (3) and (6) to obtain and m+m' = 2M sin a f = ₁₂ (m-m')g. (9) 2. Draw the free body diagram for the block when it is sliding downward on the incline plane with a constant speed. 3. Draw the free body diagram for the block when it is accelerating upward on the incline plane. 4. The block never moves in the y direction, the acceleration in the y direction is 0. From ΣFy = may, we have ΣΕ Since the kinetic friction f = μN, show that N-Mg cos α = 0. f με = Mg cos a 15