Name Atah Rahman Habibi 1-dimensional kinematics dx dv vx = ax = x dt dt Constant Acceleration Equations Static & Kinetic Friction fk = k FN fs  s FN Newton’s Second Law ! F = m a Work-Kinetic Energy Theorem Wtotal = K = K2 − K1 x = xo + voxt + ½ axt2 Uniform Circular Motion vx = vox + axt 𝑎!"# = 𝑣$/𝑅 vx2 = vox2 + 2ax(x-xo) 𝑣= x = xo+½ (vx+vox)t x = xo + vxt – ½ axt2 𝑎!"# = 4𝜋$𝑅⁄𝑇$ Gravitational Potential Energy Ugrav = mgh Spring Potential Energy Kinetic Energy K= 1 2 mv U spring = 1 kx2 2 2 g = 9.81 m/s2 Page 1 of 8 2𝜋𝑅 𝑇 Name Atah Rahman Habibi • Whenever possible, solve equations using algebraic symbols. Plug in numbers at the end! • To receive full credit, your line of reasoning must be clear. Show the formulas used, the numbers you plug into the formulae, and correct units. • Assume all numerical values have 3 significant figures, and express final answers to 3 significant figures. • Credit will not be given for answers without work shown. Page 2 of 8 Name Atah Rahman Habibi • Physics 201 1. (25 points) A puck of mass m = 0.50kg slides in a circle of radius r = 35.0cm on a frictionless table while attached to a hanging cylinder of mass M = 1.20 kg by a cord through a hole in the table. What speed of the puck keeps the cylinder in equilibrium? Draw Free body diagrams for both objects! Remember, one object will be in equilibrium while the other one isn’t! Assume g = 9.81 m/s^2 Page 3 of 8 Name Atah Rahman Habibi 2. (25 points) An inebriated Peter Griffin brags how far he can throw a football to Lois and Baby Stewie. He throws the ball with a velocity of 36.6 m/s at an angle of 42.7˚ above the horizontal. The ball is released from his arm at a height of 1.70 m above the ground and lands in the stands 10.3 above the ground, disrupting the whole game!!! . For each of the following, write the information you have, the variable you need, and the equation(s) you are using – show all work. You can ignore air fiction and treat the ball as a projectile, and therefore use the constant acceleration equations. Remember, for a projectile, a_x = 0 and a_y = -9.81 m/s^2 a. What is the time of flight of the ball (how long does it take to hit the stands if you consider the time when it leaves Peter’s hand as time t = 0 s. Remember, it doesn’t start at ground level)? b. What is the horizontal distance or “range” traveled by the ball when it first hits the stands? Page 4 of 8 Name Atah Rahman Habibi c. What is the speed (magnitude of the velocity) of the ball as it hits the stands? What is the angle below the horizontal of its velocity vector? (hint: Find the components of the velocity in each direction x,y first) d. What is the maximum height the ball achieves (above the ground) during its flight? Page 5 of 8 Name Atah Rahman Habibi 3. (25 points) A block of mass m = 1.2 kg is sitting on a wedge of angle theta = 35 deg. There is friction between the surface of the block and the wedge, with coefficients of friction of mu_S = 0.36 and mu_K = 0.22. (a) Draw a picture of the situation and label all relevant forces. (b) Draw a free body diagram replicating all relevant force data. (c) Write down Newton’s 2nd Law Equations for the mass (d) Solve for the acceleration down the ramp. You may need to investigate whether static or kinetic friction is acting on the block. Show ALL work. g = 9.81 m/s^2 Page 6 of 8 Name Atah Rahman Habibi (25 points) Two blocks connected by a cord passing over a small, frictionless pulley rest on frictionless planes. a) Which way will the system move when the blocks are released from rest? (Justify your claim.) b) What is the acceleration of the blocks? c) What is the tension in the cord? Page 7 of 8 Name Atah Rahman Habibi Extra Credit!!! (15 points) A 15.0-kg pile of blocks is suspended from one end of a rope that passes over a small, frictionless pulley. A 28.0- kg counterweight hangs from the other end of the rope, as shown in the figure above. The system is released from rest. (a) Draw two free-body diagrams, one for the load of bricks and one for the counterweight. (b) What is the magnitude of the upward acceleration of the load of bricks? (c) What is the tension in the rope while the load is moving? How does the tension compare to the weight of the load of bricks? To the weight of the counterweight? Page 8 of 8 Use the simulation/data page 9 times (get your data.) Student ID: 0811449 for every combination of hanging mass, and cart mass. Download each of the 9 data text files. Click on the "Get Mass Info" button once (not 9 times) and download/record the masses given (it won't change). Download logger pro for PC or Mac (from the main lab page). Install the program. Run the Logger Pro application. Under the FILE menu, go to the "Import From..." menu item. Choose "Text File..." Then either go to the Analyze menu and selected Curve Fit, or find the Curve Fit button (looks like a U on top of an M). On the curve fit page, choose "Quadratic" and click on "Try Fit", then press OK. Record the value of A ± σA and repeat for the 9 combinations of hanging mass and cart mass. Video Lecture: Watch It NOW!!! Video of equipment: See Equipment The development sketches 
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