1. If you consider a particle moving in horizontal motion in a medium which has a retarding force proportional to velocity where k=0.06, U = 200 m/sec, and t = 2 sec. The displacement of the particle will be at least 291.7 m. O True O False
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- 1:19 P N{ l 100% I A docs.google.com A block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and is set to oscillate on a friction-less horizontal surface. At time t = 0 its position is xO = 0 and its velocity is vo = +5 m/s. If the displacement is a cosine function, x(t)=A cos(wt+p), then which answer is correct about the oscillation amplitude A and the phase constant,p,: A = 0.25 m, and p = - T/2 A = 0.5 m, p = 0 A = 0.5 m, and p = r/2 A = 0.5 m, p = -T/2 A = 0.25 m, and p = t/2 Other: A body oscillates with simple harmonic frictionless motion along the x-axis. Its displacement varies ith time according to x(t)=0.5 cos(Tt). The ues of the velocity (in m/s) and acceleration (in m/s^2) of the 8 IIProblem Solving: )An object falls from rest in a medium offering a resistonce. The velocity of the object hefore the ohject reaches the ground is given by the differential egua- tion dv/t + V% = 32, t/sec. uhat is the veloaty of the okject one second after it falls ?A closed thermodynamic system consists of a fixed amount of substance (i.e. mass) in which no substance can flow across the boundary, but energy can. For a closed themodynamic system we cannot add energy to the system, via substance (E ) (1.e. matter which contains energy is not allowed across the boundary) Across the Boundaries E° = No Q = = Yes W mass NO CLOSED = Yes SY STEM m = constant | energy YES Figure 1.1. If the substance inside the thermodynamic system shown in figure 1.1. (i.e. piston cylinder device) is air, is the system a Fixed closed system Moveable closed system A. В.
- Steam enters an adiabatic turbine steadily at 6 MPa and 450 °C and leaves at 500 kPa and 250 °C. If the power output of the turbine is 3.9 MW determine the isentrFopic efficiency of the turbine and the mass flow rate of the steam flowing through the turbine. TI Pi T2 P2 %23A cart weighing 0.5 kg is drawn up a smooth 45° incline by a motor, M, winding up a cable. The force in the cable can be expressed as 5t² N, where t is in seconds. When t = 0, the displacement s = 0 and the initial velocity is 3 m/s. Find the cart's velocity when t = 2 seconds. > Draw a very clear FBD of the cart that you can use to write the equations of motion > Write the equations governing the cart's motion along the incline. Use axes parallel and perpendicular to the incline. Find the velocity requested1) Is it possible to prescribe the velocity v0, so that the pendulum keeps rotating with alpha = pi/2 Explain clearly why? Given: L, g, and m. 2) After transient motion, the pendulum settles at steady state rotation atalpha = pi/3. Find the initial velocity v0. Given: L, g, m, sin(pi/3) = (squareroot(3)/2), cos(pi/3) = (1/2). [Hint: Use the conservation of energy and the 2nd Newton’s law.]
- 2. On an alien planet (with unknown gravity), a 5 kilogram object is dropped from rest 10 meters above the ground. In the atmosphere of this planet, the object is estimated to have a drag constant of –3 kg/sec. (Assume drag is proportional to velocity) The object takes 15 seconds to hit the ground. Use this information to calculate the acceleration due to gravity on this planet.The small particle of mass (800 gm) spinning with angular velocity (w₁ = 2.3 rad/s, at r₁ = 400 mm), if we use force (F) to change the Angular velocity to (w₂, and r₂ = 250 mm) the value of F is: W1 Select one: A. None B. F = 5.63 N C. F = 9.47 N D. F = 3.52 N FAn object of mass m is being affected by the force F = cxx, where c is a positive constant. The object leaves the origin with a speed i, at timet = 0. Find x(x). Answer to Question 1 [Insert solution image after this line]: %3D %3D
- One mole of a gas obeys the Ideal Gas Law PV = 20T, where P is pressure, V is volume, and T is temperature. If the temperature T of the gas is increasing at the rate of 5 °C/s and if, when the temperature is 80 °C, the pressure P is 10N/m? and is decreasing at the rate of 2- find the m2 . s rate of change of the volume V with respect to time.The equation of motion of a particle in simple harmonic motion is given by: x(t) = 0.3cos(wt), where x is in meters and t is in seconds. At x = 0, the particle's velocity is v = -1.256 m/s. The period of oscillation, T, equals: 1 sec O 0.25 sec O 1.5 sec O 3 sec O 0.5 sec A musical note on a piano has a frequency of 31 Hz. If the tension in the 2-mA physics lab consists of a large ball attached to a wire. Students hold on to one end of the wire, then whirl the ball around in circles and count the number of rotations per second. One group finds these numbers: ball mass= 320 gram, wire length= 1.3m, number of rotations/sec=2.5. The wire is made of steel with a diameter of 1mm and a Young's modulus of 20x10^10 N/m^2.How much does the wire stretch due to the tension on it? Should the students correct their data for the wire stretching?