Check Your Understanding How would the firework display change in deep space, far away from any source of gravity?

NASAs Saturn V rockets that launched astronauts to the moon were powered by the strongest rocket engine ever developed, providing 6.77 106 N of thrust while burning fuel at a rate of 2.63 103 kg/s. Calculate the engines exhaust speed.

Repeat the preceding problem but for a rocket that takes off from a space station, where there is no gravity other than the negligible gravity due to the space station.

Two identical particles, each of mass 1 000 kg, are coasting in free space along the same path, one in front of the other by 20.0 m. At the instant their separation distance has this value, each particle has precisely the same velocity of 800 m/s. What are their precise velocities when they are 2.00 m apart? Figure P13 74

A model rocket engine has an average thrust of 5.26 N. It has an initial mass of 25.5 g, which includes fuel mass of 12.7 g. The duration of its burn is 1.90 s. (a) What is the average exhaust speed of the engine? (b) This engine is placed in a rocket body of mass 53.5 g. What is the final velocity of the rocket if it were to be fired from rest in outer space by an astronaut on a spacewalk? Assume the fuel burns at a constant rate.

On Oct 31 2015, massive asteroid TB145 nicknamed "Spooky" passed near the Earth vicinity. The measured diameter of the asteroid: 600meters, and its speed relative to the Sun: 30.5 km/s. (NOTE you are not given the parameters of collision, so they become important part of the "worst case -best case scenario.") Treat the asteroid as spherical object with the density of between 3g/cm³ to 4g/cm³. Treat an Earth's orbit around the Sun as a perfect circle of radius =150 x 106 km. Take one year to be 365.24days. Find the worst case scenario for the collision of such object with the Earth and find the Maximum energy released in the completely inelastic collision of this object with Earth. State your answers to the nearest mega-ton of TNT. (1 megaton of TNT= 4.184 X1015J). Your Answer: Answer

A small puck is positioned on the top of a spherical surface. The puck is then released and gently nudged. At what polar angle will the puck fly offthe sphere? Hint: use an energy solution and the normal reaction at the point of fly-off. Keep in mind the friction of the sphere when modeling the normal reaction.

How much fuel (in kg) would be needed for a 1,200-kg rocket (its mass with no fuel) to take off from Earth and reach 1,800 m/s in 20s? The exhaust speed is 1,000 m/s. 5630 7630 3630 4630

Given: Rocket mass M departs vertically from surface of earth( Re 6371km. g = 9.81m/s.Fuel is mass m. V(0) is Om/s. Exhaust velocity is r=0.05m/s. velocity (u )of expelled gas is constant and equal to u=8000m/s. Mass M = 1/4 mass m. Determine the speed v(20) and the height h(20) of the rocket after 20 secs. Did the rocket reach escape velocity v(e) fot t=20s?