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- 1. A block with a mass of 10kg is initially at rest while held in contact with a compressed spring. The spring has a stiffness constant of 2000 N/m and is initially compressed by a length of 0.4 meters. Once the mass leaves the spring it will slide 1 meter across the surface of a table where 0.3 is the coefficient of kinetic friction. There are no frictional losses while the mass is in contact with the spring, and there are no losses due to air resistance. Only losses are due to the interaction with the table during the 1-meter slide. The surface of the table is 2 meters above the floor. What is the speed of the mass just before it hits the floor? mass leaves spring 1 meter Im1. Two persons were practicing social distancing to alleviate the spread of COVID-19. Social distancing requires a minimum of 3 feet distance from person to person. However, due to their eagerness to share some rumors, the two persons decided to approach each other and now within the intimate distance (12 inches). If person A weighs 60 kg. and person B weighs 68 kg, determine the work done for this act. Take G = 6.67408 x 10-11 m³ kg¬'s-2. A. 6.8076 ergs B. 8.0766 ergs C. 5.9559 ergs D. 5.5599 ergs 2. Find the moment of mass from the x-axis for y = x In(x) – 3x and y = 1 bounded by x = 3 and x = 6. The surface density is equal to 0.37 kg/units'. A. 24.0793 kg. В. -38.6209 kg C. 27.8043 kg. D. -36.8902 kg. 3. In 2019, SCUBA divers from Mexico explores the Atlantic Ocean (64 lb/ft) and finds a circular clock thought to be the ancient remnants of the legendary Atlantis. If the clock measures 1.3 ft. in diameter and depth is measured to be 1250 ft. from the surface to the center of this…7) (2 pt) What is the magnitude of Á + B + Č, where Å = 1.00 i+ 4.00 i - 1.00 k, B = 3.00 î - 1.00 j - 4.00 k and Č = -1.00 i + 1.00 i? A) 2.00 B) 6.78 C) 7.07 D) 8.12 E) 10.76
- Shown is a 10 by 10 grid, with coordinate axes x and y. The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A→ through D→. What is the x component of A→? What is the y component of A→? What is the y component of B→? What is the x component of C→?Evaluate ∮B→⋅ dl→ for each of the cases shown in the accompanying figure. a)______________T⋅m b) ______________T⋅m c)________________ T⋅m d)________________T⋅m e)________________T⋅mm A person is pushing a wooden crate of mass mo = 20 kg at a constant speed vo = 1.2– for Ax = 3 m along a rough horizontal floor that has a coefficient of friction µk = .4.