[Q 4] (a) The equation of a hill path is given by: Y = -0.001 x + 0.2 x A small vehicle of mass 80 Kg starts from rest at the bottom of hill (point (0,0)) and accelerated toward the top of hill. Find maximum allowable acceleration to keep the vehicle in contact with the surface when reaching top of hill.
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- 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 FIn a pulley system shown, find the tension on the cable and the acceleration of pulley B and the load 5kg. Acceleration of load (al-m/s²) = TENSION (N) = Acceleration of pulley (ag-m/s²) rAs shown in the figure. A plot of potential energy U versus position x of a 2 kg particle that can move along x-axis. The graph has these values U_A=9J, U_C=20J and U_D=24J. The particle is released at position x=5 m with kinetic energy 4 J where the potential energy is U_B=12 j. What is the kinetic energy of the particle at x =3.5 m. Upt ... Uc UAF-- 4 6 7 x (m) A) 8J B none of them C 7J D 7.5J
- Zorch, an archenemy of Superman, decides to slow Earth’s rotation to once per 29 h by exerting a force parallel to the equator, opposing the rotation. Superman is not immediately concerned, because he knows Zorch can only exert a force of 4.15 × 107 N. For the purposes calculations in this problem you should treat the Earth as a sphere of uniform density even though it isn't. a. How long, in seconds, must Zorch push with this force to accomplish his goal? (This period gives Superman time to devote to other villains.)WORKSHEET: A racing car starts at rest at point A and increases its speed around the track at a constant rate of 6 ft/sec², traveling counterclockwise. Determine the position and the time at which the car's acceleration magnitude reaches 20 ft/sec². y ↑ 200 ft Used with permission from "Engineering Mechanics: Dynamics." McGill/King, 4th Ed, 2003Find the acceleration of the specified object. (Hint: Recall that if a variable is changing at a constant rate, its acceleration is zero.) A boat is pulled into a dock by means of a winch 2 meters above the deck of the boat (see figure). The winch pulls in rope at a rate of 1.7 meters per second. Find the acceleration (in m/sec?) of the boat when there is a total of 5.2 meters of rope out. (Round your answer to three decimal places.) m/sec2 Not drawn to scale Submit Answer
- There is a collision betwen two dry ice A and B. In total, there combined mass equals 300g(Ma=Mb=300g). The collision takes place using magnets and is captured using a strobe light that flashes 10 times a second. Addtionally Puck B is initially at rest. Now with ths information listed solve for the variable before and after the collision with the charts below.Problem Solving: ) A car is fraveling at the speed Vo on a Tevel road. After the brakes arc applicd at t- 0, the motion can be approximated by x where x is the distance traveled in mcters and t is the time in scconds. Find: (a) Find the value of Vo (6) Find the distance reguired for the car to straight, %3D 2. --t+ 17t 100 stop.Pages Le EXtract Object View Edit OCR Sign Comment Page Organization Convert Protect Start ASSIGNMENT FINAL 20... Q7) A horizontal table rotates freely in a horizontal plane about a frictionless vertical axle. The table has a moment of ineria 200 kg.m² and a radius R = 2.0 m. A student whose mass is m = rim of the disk toward its center. If the angular speed of the system is 2.0 rad/s when the student is at the rim, what is the angular speed when he reaches a point r = 60 kg walks slowly from the M 0.50 m from the center? 11 1 7/7 We HA 144a. Hem t A A L
- 1. The wheel starts rotating from rest, 3) if its angular velocity W as a function of angular position is w=0.2-0², where is in radian, and its radius ris 0.2 m, what is the magnitude of the tangential linear acceleration (in m/s²) of point P after the wheel has turned 1.4 revolution(s) from rest. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Your Answer: Answer PA 6 Time to reach max height: y=-0.04x² A ball is kicked on a hill as shown. The angle which the ball initially kicked, theta A, is 40 degrees and initial velocity. Va, is 45 ft/s. What is the maximum height, h, that the ball will achieve. How long does it take the ball to reach this point. Maximum height, h: 402450The ideal gas law, discovered experimentally, is an equation of state that relates the observable state variables of the gas--pressure, temperature, and density (or quantity per volume): PV = NkBT (or pV = nRT), Figure L₂ Lx 1 of 1 Part A Find the magnitude of the average force (F) in the x direction that the particle exerts on the right-hand wall of the container as it bounces back and forth. Assume that collisions between the wall and particle are elastic and that the position of the container is fixed. Be careful of the sign of your answer. Express the magnitude of the average force in terms of m, vr, and L₂. ► View Available Hint(s) Submit Part B IVE ΑΣΦ ? Imagine that the container from the problem introduction is now filled with N identical gas particles of mass m. The particles each have different x velocities. but their average x velocity squared. denoted