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Question 1 5 pts An object's position as a function of time in one dimension is given by the expression; 4.01t2 + 3.04t + 16.2

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Question 1 5 pts An object's position as a function of time in one dimension is given by the expression; 4.01t2 + 3.04t + 16.2 where are constants have proper SI Units. What is the object's average velocity between the times t = 3.37 s and t = 7.45 s? Question 2 5 pts An object is initially moving at a rate of 15.3 m/s in the positive x-direction. What acceleration is required for the object to increase is speed to 25.7 m/s i over a distance of 15.6 m? Question 3 5 pts An object is thrown straight upward with an initial speed of 25.7 m/s. How long does it take it to reach its maximum height?Question 4 5 pts An object is launched with an initial velocity of 28.1 m/s at an angle of 44.2 degrees relative to the +x direction. If it is initially at ground level, at what distance away does it return to the ground? Question 5 5 pts A 1.16 kg mass is initially at rest upon a frictionless, horizontal surface. An applied force of 7.34 N i then acts on the mass for 4.54 seconds. What is the speed of the mass when the applied force stops acting? Question 6 5 pts Consider 2 forces acting on a mass of 2.8 kg. F1 = 11.4 N @ 24.6 degrees and F2 = 7.84 N @ 77.3 degrees where the angles are measured relative to the +x direction. What is the magnitude of the acceleration produced considering only these 2 forces acting?Question 7 5 pts A mass of 1.31 kg is initially at rest upon a frictionless incline of 44 degrees. How far down the incline must the mass slide upon obtaining a speed of 6.89 m/s? Question 8 5 pts A mass of 3.33 kg is initially at rest upon a horizontal surface. An applied force of 36 N i then acts on the mass. If the coefficient of kinetic friction regarding the system is 0.78, what is the magnitude of the object's acceleration? Question 9 5 pts An applied force of 20 N i pushes an object that is initially at rest over a horizontal surface. The coefficient of kinetic friction is 0.450 and the mass is 1.31 kg. If the net work done at some point is 45.5 J, what is the object's speed at that point?Question 13 5 pts Two objects are on a collision course. Object #1 has a mass of 13.9 kg and an initial velocity of 13.8 m/s i. Object #2 has a mass of 6.21 kg and an initial velocity of -4.49 m/s i. If the system is isolated and the objects stick together upon colliding, what amount of energy is lost in the collision? Question 14 5 pts An object that is initially at rest begins to rotate with a constant angular acceleration of 2.5 rad/s2. How long does it take the object to undergo an angular displacement of 301 radians? Question 15 5 pts Starting from rest, a wheel with a radius of 0.42 m begins to roll across the ground in a straight line under a constant angular acceleration of 3.04 rad/s2. What is the speed of the wheel in m/s after it has rotated through 21.5 full revolutions?Question 16 5 pts A point mass of 0.35 kg is fixed to the end of a 1.22 m long string that is fixed at the other end. Initially at rest, the mass is made to rotate around the fixed end with an angular acceleration of 3.82 rad/s2 . What centripetal force acts on the mass after 5.72 seconds? Question 17 5 pts A tangential force of 11.3 N acts on the outer edge of a solid cylinder having a mass of 1.92 kg and a radius of 0.45 m. If this is the only force considered, what is the angular acceleration of the cylinder assuming it rotates about its center. The moment of inertia of a solid cylinder is I = 0.5MR2 Question 18 5 pts A solid sphere with a mass of 13 kg and a radius of 0.28 m spins about its center with an initial angular velocity of 52.3 rad/s. If it slows at a rate of -2.61 rad/s2, what is its rotational kinetic energy after 5.75 seconds? The moment of inertia of a solid sphere is I = 0.4MR2Question 19 5 pts A simple harmonic oscillator consists of a 0.41 kg mass attached to a spring with a spring constant of 45.5. What will the period of this system's oscillations be? Enter this to 3 decimal places Question 20 5 pts A traveling sinusoidal wave is modeled by the expression of; y(x,t) = 0.1sin(29.5x-88t) where all numeric values have proper SI Units. What is the wave speed of this wave

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