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1.A 9 gram bullet is fired horizontally at a tree and is brought to a halt right before it exits the tree. the tree is 90cm thick and exerts a resistive force of 16000N on the bullet as it travels through the tree. Given this information find the initial velocity of the bullet before it hit the tree. Show answer in meters not cm.
2.A ball is thrown with a valocity of 30 m/s at an angle of 40 degrees above the horizontal from the top of a 100m tall building.
a) what is the greatest vertical height ball achieves?
b) what is balls velocity when it lands. (neglect air resistance in both cases) DO NOT USE 2D projectile motions, only work or energy considerations.
A 2 kg block is projected up a frictionless plane with and initial speed of 8 m/s. The plane is inclined upward at 30°. If the block travels 5 m before striking a linear spring, what should the spring stiffness be if the spring compression is to be l..
Water is flowing from a higher to a lower reservoir through a 24-inch pipe that has a Darcy friction factor of 0.02. The local loss coefficients for the bends, entrances, and exits sum to 3.5.
Estimate the concentration and the mass emission rate of NOx if a coal containing 1.5% nitrogen is combusted at 1400 k using an air/fuel ratio that is 1.5 times the stoichiometric ratio
What is the smallest diameter pipeline that may be used to carry 6.3 L/s (100 gpm) of water if the flow is to be laminar
Calculate the change in length of a 30m measuring tape made of steel when its temperature changes by 84 F. The coefficient of thermal expansion for steel is x = 3.1 x 10^-6 per C
flow of 600cfs is measured at a depth of 3.4 ft in trapezoidal channel with bottom width of 25ft and side slopes of 3:1(h:v). The channel reach has a slope of .002. Estimate the channel roughness.
If all the posts have the same original lenth before they are loaded, determine the average normal stress developed in each post when post C is heated so that its temperature is increased by 20 degrees F.
The density of 70.5 wt% aqueous perchloric acid is 1.67 g/mL. a. How many grams of solution are in 1.000 L? b. How many grams of HClO4 are in 1.000 L? c. How many moles of HClO4 are in 1.000 L?
Radon from well water may pose a radiological health hazard. One treatment technique is simply to hod the water in storage, allowing the radon to decay. The decay rate is first order:
vehicle A enters the interstate and travel at 60 mph for 1/2 hour, stops for 30 mins then continues at 70 mph. If a vehicle B enters the interstate at the same location as A,
a confined aquifer with a transmissivity of 7.0x10^-3 m^2/s and a storativity of 5.0x10^-4 is pumped by two wells 35 m apart. One well is pumped at 7.6 L/s and the other at 15.2 L/s.
a volumen of 20 cu ft of air at pressure of 50 psig is heated and expanded and to 30 cu ft and 40psig find the changes in the energy of air in jouls.
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