We will assume that you have 450 kg of fuel I = 320 seconds for this rocket  Using the information given (and what you figured out) use the following formula to find the total ∆v that your rocket can produce. The “ln” is the natural log of m0/mf.  How long would it take the engine to accelerate the rocket to escape velocity? (this assumes that the engine is accelerating the rocket only; we aren’t including the mass of the fuel) Is the ∆v enough to get from 0 m/s to escape velocity? If it isn’t, plug in the escape velocity for ∆v and solve for I (you leave the ln(m0/mf) the same). What is the minimum specific impulse you need to get off Titan?

From rest a balloon begins to rise. the Balloon experiences a lift due to a buoyant force of 8000 N. 1. Total massof the balloon is 600kg. Find Acceleration. 2. The balloon rises a distance of 10m and loses a mass of 50 kg after a weight is thrown off. Find the acceleration of the balloon after this weight loss 3. Find the initial velocity of the mass in the vertical direction at the timeof the jump. 4. After falling 10 m, find the mass' final velocity as it comesinto contact with the ground. 5.What is the total time the mass takes to hit the ground? 6. Find the heightof the balloon when the mass hits the ground 7. The mass lands 3 m from the baloon, find the horizontal velocity required to land 3m from the balloon. 8. Since the balloon exeperiences equal forces when the mass is thrown off, what is the horizontal velocity the baloon experiences during this act and how far does the balloon travel when the mass comes into contact with the ground?

Q16. A 3.4-kip car speeds up uniformly from 0 to 57 mph in 39 seconds up the 15⁰ incline. If the engine has an efficiency of e = 0.73, what is the power input (in hp) when the car's speed reaches that final speed? (1 hp = 550 ft-lb/s) Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 32.2 ft/s². Your Answer: Answer 15°

A 3.1 kg object is initially at rest and is experiencing a net force of magnitude 4.7e^-t/2 N. As time approaches infinity, notice that the net force decays toward 0 N, which tells us that the acceleration is also dropping to 0 m/s^2 (and so the velocity is leveling off to a terminal speed). What is the terminal speed? (Ans.= 3.0 m/s)