In earlier days, horses pulled barges down canals in the manner . Suppose the horse pulls on the rope with a force of 7900 N at an angle of u = 18 to the direction of motion of the barge, which is headed straight along the positive direction of an x axis. The mass of the barge is 9500 kg, and the magnitude of its acceleration is 0.12 m/s2.What are the (a) magnitude and (b) direction (relative to positive x) of the force on the barge from the water?

Figure (a) applies to the spring in a cork gun (Figure (b)); it shows the spring force as a function of the stretch or compression of the spring. The spring is compressed by 7.00 cm and used to propel a 3.90 g cork from the gun. (a) What is the speed of the cork if it is released as the spring passes through its relaxed position? (b) Suppose, instead, that the cork sticks to the spring and stretches it 1.70 cm before separation occurs. What now is the speed of the cork at the time of release? Force (N) 0.4 0.2 -4-2 2 4 -0.2 -0.4 (a) x (cm) Compressed spring. 0 (b) Cork

A large truck is stuck off the main road in the mud. Two tow trucks have cables that are connected at the same point on the front of the stranded truck. The tow trucks are attempting to tow the vehicle in an easterly direction (consider this direction to be 0o). The 1st tow truck is exerting a force on the stranded truck that is represented by the vector F1=90i+6j. The 2nd tow truck is exerting a force represented by the vector F2=110i−10j. The forces are measured in pounds. 4a) Identify the vector F that represents the resultant force exerted on the vehicle at the point of attachment of the cables. Give your answer in the form F=ai+bj. 4b) Using the value of the direction angle, determine if the stranded truck will be pulled in a direction of due east (0o).  If not, indicate if it will be pulled north of due east or south of due east.  Round your answer to 2 decimal places.

A block with mass mA = 10.0 kg on a smooth horizontal surface is connected by a thin cord that passes over a pulley to a second block with mass mB = 5.0 kg which hangs vertically. Determine the magnitude of the acceleration of the system. Express your answer to two significant figures and include the appropriate units.

A block of mass m1 = 3.41 kg on a frictionless plane inclined at angle 0 = 26.1° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.37 kg hanging vertically (see the figure). (a) What is the acceleration of the hanging block (choose the positive direction down)? (b) What is the tension in the cord? %3D (a) Number i Units (b) Number i Units > >

1. A golf ball is hit from ground level with initial velocity given x(t)= 3 m/s(t) in a direction that is due east and at an angle theta above the horizontal. Neglecting air resistance, use Newton's second law to find the position as a function of time, using coordinates with x measured east and y north. Find the time for the golf ball to return to the ground and how far it travels in that time.