An aircraft is initially flying north with wings level, then it starts maneuvering. at some instant in this maneuver, the aircraft’s attitude is given by the following euler angles: φ = 90◦, θ = 30◦, and ψ = −120◦. assume all are 0◦ initially. (a) describe the aircraft’s attitude in words (e. g., nose down or up; left wing down or right wing down; heading east, west, northwest, (b) what is the transformation matrix that takes a vector from the body frame to a vector in the earth frame? (c) if the aircraft weighs 35,000 lbs, what are the components of the force of gravity in the body frame, i. e. xgb, ygb and zgb? (d) if the aircraft’s center of mass is moving north at 175 knots, what are u, v and w?

1. how much energy is needed to raise the temperature of 40.0 g of argon from 25c to 40c? the specific heat capacity of argon is 0.520 j/(g·k) 2a. 23.0 ml of 0.100 m hcl (standard) are added from a buret to neutralize 50.0 ml of an unknown basic solution. 2b. if the oh- produced in the previous reaction came from ca(oh)2, then what is the molarity of the ca(oh)2? 3.calculate the new freezing-point of a solution when 60.5 grams of cacl2 solute is dissolved in 0.612 kg of water. 4. what is the maximum number of moles of alcl3 that can be produced from 5.0 mol al and 6.0 mol cl2? 5. a sample of oxygen gas has a volume of 150 ml when its pressure is 0.923 atm. if the pressure is increased to 0.987 atm and the temperature remains constant, what will the new volume be? 6. nitrogen gas in a closed container at a temperature of 100.0 oc and 3.0 atm is heated to 300 oc. what is the pressure of the gas at the higher temperature?

Why does a collision with an airbag cause less damage than a collision with a steering wheel

3. a particle with initial velocity v⃗ 0=(5.85×103m/s)j^ enters a region of uniform electric and magnetic fields. the magnetic field in the region is b⃗ =−(1.35t)k^. you can ignore the weight of the particle. a. calculate the magnitude of the electric field in the region if the particle is to pass through undeflected, for a particle of charge +0.640 nc.