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- (a) Find the magnitudes of the forces F1 and F2 that add to give the total force Ftot shown in Figure 4.35. This may be done either graphically or by using trigonometry. (b) Show graphically that the same total force is obtained independent of the order of addition of F1 and F2. (c) Find the direction and magnitude of some other pair of vectors that add to give Ftot. Draw these to scale on the same drawing used in part (b) or a similar picture.Sue and Jenny kick a soccer ball at exactly the same time. Sue’s foot exerts a force of 57.5 N to the north. Jenny’s foot exerts a force of 109.5 N to the east. a) What is the magnitude of the resultant force on the ball?Two forces are applied to a car in an effort to move it, as shown in the figure below. (Let F1 = 415 N and F2 = 356 N. Assume up and to the right are in the positive directions.) a) What is the resultant vector of these two forces? magnitude N direction ° to the right of the forward direction (b) If the car has a mass of 3,000 kg, what acceleration does it have? Ignore friction.m/s2
- Two forces F1 and F2 with magnitudes 14 lb and 12 lb, respectively, act on an object at a point P as shown in the figure. (Give your answers correct to one decimal place.) (a) Find the resultant force F acting on P. i + j (b) Find the magnitude of F and its direction. |F| = lb θ = °1. Two masses mA = 17.88kg and mB = 23.56kg are on inclined and are connected by a string as shown in Figure3. Find the acceleration and tension of the cord. [Ignore the masses of the (frictionless) pulley and the cord]Juan pushes a lawn mower with a force of 75 N holding the handle in such a way that it makes an angle of 60.0 ° with the horizontal. Remember to make the diagram and identify the vectors. 1. What are the horizontal and vertical components of the force? 2. The handle is lowered so that it makes an angle of 30.0o with the horizontal. What are the horizontal and vertical components of the force?
- A rocket sled decelerates at a rate of a =197 m/s^2. Its passenger has a mass of 73.5 kg. a. Calculate the horizontal component of the force the seat exerts against his body. b. Compare his weight by using a ratio. The horizontal component of the forice is how many times his weight. Calculate the magniture and direction of the total force the seat exerts against his body.Two forces are applied to a car in an effort to move it, as shown in the figure below. (Let F1 = 440 N and F2 = 366 N. Assume up and to the right are in the positive directions.) (a) What is the resultant vector of these two forces? (b) If the car has a mass of 3,000 kg, what acceleration does it have? Ignore friction.Two athletes pull on a rope in a tug-of-war. Each pulls with a 430 N force. What is the resultant force?A. 0 NB. 400 NC. 600 ND. 800 N
- On aircraft carriers, catapults are used to accelerate jet aircraft to flight speeds in a short distance. One such catapult takes a 17,900-kg jet from 0 to 67 m/s in 2.7 s. (Assume the catapult acts in the positive horizontal direction. Indicate the direction with the sign of your answer where appropriate.) (a) What is the acceleration of the jet in m/s2?From a birds eye view, two men are pulling on a car, the first man pulling with a force of 120N at an angle of 70 degrees above positive x-axis, the second man is pulling with a force of 85N at an angle of 105 degrees from the positive x-axis. 1. Find single force and direction that is equivalent to the two men's pulling force.When a wooden block is sliding down a smooth slope, what are the effects of gravity and the supporting force？Please do a vector analysis of this problem to explain it. PS: I want to know EXACTLY what the gravity and thesupporting force are doing to the wooden block. Thanks for your help.