A 10g bullet is fired horizontally at 1000m/s towards the vertical uniform thin rod (mass 1kg and lengths 1m) free to rotate about an axis of rotation at its upper end. The bullet strikes the rod (and lodges in it) at distance d=20cm below the rod’s center of mass. What is the angular velocity of the rod-bullet system immediately after the collision? Will the rod make a complete revolution? If yes, what will be its angular velocity at the highest...
Water is flowing through a 600mm diameter horizontal pipe n = 0.013 and 1000m in length. A gage pressure downstream has a reading of 16 kPa and another gage in between the ends of the pipe reads 20 kPa while on the upstream side reads 30 kPa. a. Determine the total head loss of the pipe b. Determine the velocity of flow in m/s. c. Determine the rate of discharge in liter per second.
A street has 1000m of length, longitudinal slope of 1%, cross-slope of 4% and n= 0.018. The street width is 20m and 6m must be kept clear at the design condition For each side of street, there are two gutters with interval distance as 500m Design these gutters to drain out a rainfall of 50mm during 2 hours if we assume that there is not any source of water flowing to the street?
A street has 1000m of length, longitudinal...
2. Compute the ζ and ωd for the damped system with m=1 kg, c=2 kg/s, and k=10 N/m. Is the system overdamped, underdamped, or critically damped? Calculate the damped natural frequency. Compute and plot the solution given the initial conditions x0 = 10 mm and v0 = 0 mm/s. (Hint: Use the same steps in Q1. Pay attention to units). 3. Consider the system x’’+ 4x’ + x = 0 for x0 = 1 mm, v0 = 0 mm/s. Is...
1.6.53m/s B.4.96m/s C. 1.48 m/s D.3.48m is IV 2 2 kg 3 kg ) of ice is in 3 of water (Lf= 33.5+ 10 J/kg Cwater=4186 J/kg. K0°C). The heat in megajoules (MI) that must be added to convert the entire sample to water at 50°C is: A.1.047 MJ B. 1.72 MJ C. 0.67 MJ D.O.628M J 2 A bullet (m=0.04 kg) with a Velocity of 285 m/s hitsa block (M = 2.3kg ) that is initially at rest. The...
0 m/s 2 m/s Initial Velocity Initial Velocity 0 O m/s 2 m/s Mass: 2 kg Mass: 2 kg Elastic Case 1: Red and Blue Carts with Equal Mass Set the initial blue cart velocity to 0 m/s. Set the red and blue carts' mass values to the same value. Run the simulation and record the mass and velocity values. Before Collision After Collision Vred = m/s Vred = m/s Vblue = m/s mRed = kg m Blue = kg...
how to convert kg(m^2/s^2) to slug(ft^2/s^2)?
A 2 kg ball moving at 2 m/s collides with a stationary 1 kg ball. What is the speed of the 1 kg ball after the collision if the collision is: (a) elastic, and the speed of the 2 kg ball drops to 1 m/s? (b) inelastic?
1. How much heat is needed to raise the temperature of 3 kg of water from 20oC to 40oC? Give answer in kJ (1kJ = 1000 J) (round answer to 3 sig fig) 2. How much heat is needed to raise the temperature of 3 kg of ice from -40oC to -20oC? (round answer to 3 sig fig) Specific heat of water: C = 4180 J/kgK Specific heat of ice: C = 2090 J/kgK Specific heat of ethanol: C= 2440...
1. Three blocks of mass 2-kg. 3-kg, and S-kg are stacked, as showl in the figure. A vertical force of magnitude 150 N is pushing on the bottom block, accelerating the system upward. 24e 2-kg 3-kg a) What is the acceleration of the system (magnitude and direction) S-kg 150 N b) What is the net force on each block?