If the elevator maintains constant acceleration and is moving at 1.50 m/s as it passes the fourth floor on its way down, what is its speed 4.00 s later? m/s ces
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- Q5. Rewrite these vectors to fix the notation errors: d = 4.2 [W] km т v = 11.2–(E) S m à = [down] 4.7 IA tow-truck, of mass mã, has a peak acceleration of at when it is not towing anything. When the tow truck pulls a bus of mass mp, its maximum acceleration is a.. Express a in terms of ar if the two masses are related by mB missing numerical factor below. a = aT = BmT with = 5.37. Fill in theT2 ... T1 02 M Which of the relations is correct for the hanging sign of mass M. A. T, + T, = Mg B. T,cos & = T,cos 0, C. T,sino = T,cos 0, ... D. T,cose = T,sin0, Е. Tsin@ 3D T,sin@, А) с B D с) в (D A E) E
- 1) 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 N B. 400 N C. 600 N D. 800 N 2) When two displacement vectors A and B are added together to form the displacement vector C, following is a relationship that exists between their magnitudes. Which statement concerning these vectors is TRUE? A^2 + B^2 → C^2 A. B and A must be at right angles with each other. B. B and C must be at right angles with each other. C. A and B must be at opposite angles with each other. D. A and B must be equal.The vertical acceleration of a projectile O a. equals g pointing sometims upwards and other times downwards. b.equals g pointing upwards. c. continuously increases. d.equals g pointing downwards. e. is zero.1. Compute the resultant force and its direction for the two forces shown in Fig. Q1. Z |F₁ = 300N 45° X 60° 120% 45° Fig. Q1 60° |F₂| = 500N y
- 6. A skydiver of mass m = 60 kg leaps from a plane with an initial upward velocity of vo = +5 m/s. Assume the diver experiences air resistance proportional and opposite to their velocity, with drag coefficient b= 11 N/(m/s). Also assume acceleration due to gravity is g = 9.8 m/s². The velocity of the diver changes with time, as modelled by the following differential equation. m = -mg-bv dv dt Solve for u(t)= the velocity of the diver at time t, and determine the diver's terminal velocity: lim v(t) t-xN7. An elevator of mass 890 kg has an upward force of 1.10 x 10ªN applied to it. Determine the following: a) the net force on the elevator. b) the acceleration of the elevator. (ANS: a) 2.23 x 10³ N b) 2.56 m/s²) 18. In a competition, a small robot accelerates forward at 0.25 m/s² as it pushes a wood a = 0.25 m/s² block of mass 1.6 kg towards a basket. A friction force of 3.7 N exists between the block and floor. a) What is the net force acting on the block? b) What force is the robot applying to accelerate the block? (ANS: a) 0.4 N b) 4.1 N) a = 0.25 m/s? 000 9. A hoist is used to lift a 780 kg car upward with an acceleration of 0.110 m/s². a) What is the net force acting on the car? b) What force was used to lift the car? (ANS: a) 86 N b) 7.73 x 10³ N) a 0.11 m/s Wigh seA cart of mass 8.00 kg was moved by applying two constant forces. Force 1 is 28.0N at 42.0°, and Force 2 is 13.0 N at 110°. Initially, the cart has a velocity of (3.50 i +2.20 j) m/s. EERIN d. What is the acceleration of the cart? Ans. å = (2.05 i + 3.87 j) e. What is the cart's velocity after 5.00 s? or 4.38- Ans. 3 = (13.75 i + 21.55 j)" or 25.56 m m