Three forces given by F, = (6î + 2)N,F2 = ( î – 3j)N, and F3 = (3 f)N, act on an object to give it an acceleration of magnitude 3.75 m/s?. a. What is the direction of the acceleration? b. What is the mass of the object?
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- 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.A. What is the tension in the lower cord? B. What is the speed of the block? V= m/sTwo masses, m₁ = 65 kg, and m₂ = 81 kg are attached by a massless rope over a massless, frictionless pulley, as shown. Mass m₂ rests on a smooth, frictionless inclined plane of 40°. m₁ m₂ Ꮎ a. Calculate the magnitude of the acceleration of m₁. b. Is m₁ accelerating up or down? Explain. c. Calculate the tension in the rope.
- A friction experiment is performed on a planet that has the same mass as Earth but half the radius. A 1.0-kg block is pulled along a horizontal dynamics track with a horizontal force of magnitude 15.0 N. If the coefficient of kinetic friction between the block and the track is 0.3, determine the acceleration of the block. O a. 14.26 m/s^2 O b. 12.06 m/s^2 O. 3.24 m/s^2 Od. 15.00 m/s^21. A telephone pole has three cables pulling as shown from above, with F, (260.0î + 510.0ĵ), F2 = -250.0î , and F3 = –700.0ĵ . a. Find the net force on the telephone pole in component form. b. Find the magnitude and direction of this net force. F,1. You are tasked with designing the runway on an aircraft carrier. The minimum speed for the F/A18 Hornet is 200 mph. The Hornet weighs 40,000 lbf and its twin engines provide a thrust of ~40,000 lbf combined, providing a max acceleration of 1g.a. How long must the deck be to takeoff unassisted? Give the answer in ft. b. This is most likely longer than your typical ~450 ft carrier. What acceleration must you achieve with both the engines and with a catapult system together to reach the required minimum speed by the end of the deck? c. What net force (combined engines and catapult) must be applied to the plane to get the acceleration in b? d. Do you think the plane will be able to use disk brakes on its tires to stop when landing?Use your knowledge of friction to make your argument. Also know that their coefficient of friction is ~1.
- A stuntman drives a car of mass 1125 kg east with a speed of 20 m/s. a. If the car accelerates at a rate of –2 m/s 2 , how long will it take the car to go 50 m? b. The stuntman drives the car off an 80 m cliff while going 15 m/s. How long will it take the car to land? c. How far horizontally from the cliff will the car land?A friction experiment is performed on a planet that has the same size as Earth but half the mass. A 1.0-kg block is pulled along a horizontal dynamics track with a horizontal force of magnitude 15.0 N. If the coefficient of kinetic friction between the block and the track is 0.3. determine the acceleration of the block. O a. 2.94 m/s^2 O b.3.24 m/s^2 O c. 9.12 m/s^2 O d. 13.53 m/s^28. The wheels fall off Beatrice's suitcase, so she ties a rope to it and drags it along the floor at the airport terminal. The rope makes a 40.0 degrees angle with the horizontal. The suitcase has a mass of 36.10kg and Beatrice pulls on a rope with a force of 65.10 N. What is the magnitude of normal force acting the on the suitcase due to the floor? a. 40.43N b. 311N c. 9.36N d. 312.30N e. 310.32N