Before the application of the impulse to after the removal of the impulse: 13. Which has greatest magnitude of the change in linear velocity of each body's mass center? a.) A b.) B c.) C d.) D 14. Which has least magnitude of the change in linear velocity of each body's mass center? a.) A b.) B c.) C d.) D 15. Which has greatest magnitude of the change in angular velocity of each body's mass center? a.) A b.) B c.) C d.) D 16. The 350-kg flywheel of a small hoisting engine has a radius of gyration of 600 mm. If the power is cut off when the angular velocity of the flywheel is 100 rpm clockwise;
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- 1. In the laboratory, when you hanged 100 grams at the end of the spring it stretched 10 cm. You pulled the 100-gram mass 6 cm from its equilibrium position and let it go at t = 0. Find an equation for the position of the mass as a function of time t. 2. The scale of a spring balance found in an old Physics lab reads from 0 to 15.0 kg is 12.0 cm long. To know its other specifications, a package was suspended from it and it was found to oscillate vertically with a frequency of 2.00 Hz. Calculate the spring constant of the balance? (b) How much does the package weigh?e ll 42% A 16:33 docs.google.com/forms 59 A musical note on a piano has a frequency of 31 Hz. If the tension in the 2-m string is 308 N, and one-half wavelength occupies the string, what is the mass of the wire? 0.031 kg 0.040 kg 0.047 kg 0.019 kg 0.024 kg A simple pendulum is set into motion at two different times with different initial conditions. The first time: the bob is in its equilibrium position and1. For your science fair project, you decided to design a model rocket ship. The fuel burns exerting a time-varying force on the small 2.00 kg rocket model during its vertical launch. This force obeys the equation F= A + Bt2. Measurements show that at t=0, the force is 25.0 N, and at the end of the first 2.00 s, it is 45.0 N. Assume that air resistance is negligible. a. What are the forces acting on the rocket? b. Draw its free-body diagram. c. Find the constants A and B, including their SI units using this equation F= A + Bt². d. Find the net force on this rocket and its acceleration the instant after the fuel ignites. e. Find the net force on this rocket and its acceleration 3.00 s after fuel ignition. f. Suppose you were using this rocket in outer space, far from all gravity. What would its acceleration be 3.00 s after fuel ignition? g. What is the rocket's mass in outer space? What is its weight?
- Engeering mechanics, StaticNewton's Law of Cooling as a Differential Equation dT k(м-т) dt where Tis the temperature of the object at a given time t, M is the temperature of the surrounding medium, and k is a positive constant. From this we note that if M>T, we have heating, since M – T > 0 thus dT/dt > 0, which means an increasing T, heating up! If MThe 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. denotedA net force F = 6t? along the x-direction acts on an object of mass m = seconds and F is in Newtons). The object is initially at rest and the force acts on the object during the 3kg (t is time in %3| time interval 0Damian’s car weighs 2000kg. The spring has a natural unstretched length of 2m and a spring constant of k = 80000N/m. Hooke's law can be written as T = kd. Where T is the tension force in newtons, k is the spring constant and d is the length in metres. Let x(t) be the position of the front of Damian’s car and let y(t) be the position of the back of Eva’s 4WD. We will assume that the position of Eva’s car is a known function of time. Q1 a) Create a sketch of the positions of the vehicles similar to the one given and add the positions x and y. b) What is the extension of the spring in terms of x(t) and y(t)? Be careful to take into account that the unstretched length of the spring is 2m.Initially, the temperature of an object is 70 degrees celsius, it is taken outside. The temperature of the surrounding is 20 degrees celsius at 3:03 Pm, the temperature of the body becomes 42 degrees celsius. Later, the object is then taken back inside where the temperature is 80 degrees celsius. At 3:10 PM, the temoerature of the object is 71 degrees celsius. Determine the time when the object is brought inside.11. Athermally insulated battery is being discharged at atmospheric pressure and constant volume. During a 1 hour test it is found that a current of 50 A and 2 V flows while the temperature increases from 20°C to 32.5°C. Find the change in internal energy of the cell during the period of operation. [Ans.-36 x 104 J]23. The surface tension of water in contact with air is given as 0.0725 N/m. The pressure outside the droplet of 20. Determine the bulk modulus of elasticity of a fluid which is compressed in a cylinder from a volume a 0.009 m at 70 Ncn pressure to a volume of 0.0085 m' at 270 N/cm pressure. [Ans. 3.6 x 10° N/em1 21. The surface tension of water in contact with air at 20°C is given as 0.0716 N/m. The pressure inside droplet of water is to be 0.0147 N/cm greater than the outside pressure, calculate the diameter of droplet of water. 22. Find the surface tension in a soap bubble of 30 mm diameter when the inside pressure is 1.962 N/m* above [Ans. 1.94 mm) atmosphere. (Ans. 0.00735 Nm] water of diameter 0.02 mm is atmospheric 10.32 . Calculate the pressure within the droplet of cm water. [Ans. 11.77 N/em']Most collisions are inelastic, meaning the kinetic energy is not conserved in the system. (a) What are the three most common ways for energy to leave a system during a collision? To the best of my knowledge, the use of the word "perfectly" in a perfectly elastic collision is not necessary. Any elastic collision is a perfectly elastic collision. Both concepts mean the kinetic energy is conserved. The use of the word "perfectly" in perfectly inelastic collisions is just telling you that the two objects end up sticking to each other (have the same final velocity). (b) Combine the equations for the 1-D conservation of linear momentum and the conservation of kinetic energy to create a third equation. Any two of these equations now contain all the information, so the three equations are said to be linearly dependent in math-speak. This means we only need to use any two equations for our solutions, naturally we will chose the simplest two. (c) Use two of these equations along with…SEE MORE QUESTIONSRecommended textbooks for youElements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. 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