A small rocket burns 0.05 kg of fuel per second, ejecting it as a gas with velocity of magnitude 1600 m/s relative to rocket. (a) What is the thrust of the rocket? Answer: 80 N (b) What is the acceleration of the rocket? Answer: m/s2
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- A 7760 kg space probe, moving nose-first toward Jupiter at 73.9 m/s relative to the Sun, fires its rocket engine, ejecting 83.0 kg of exhaust at a speed of 248 m/s relative to the space probe. What is the final velocity of the probe? Number UnitsA 3.45 kg black ball traveling 4 m/s has a head on collision with a white one at rest. Using the velocities shown, calculate the mass of the white ball, Ignore friction and air resistance. 0 m/s 4 m/s 1.4 m/s 5.7 m/sA rocket burns in 2 stages. In stage 1, .35mo is burned. It then releases the first stage tank (of mass .1mo ), and then burns the 2nd stage (.25mo). It does not release the second tank afterwards. What is the final speed of the rocket assuming no external forces are present?
- Jason takes off across level water on his jet-powered skis. The combined mass of Jason and his skis is 75 kg (the mass of the fuel is negligible). The skis produce a forward thrust of 200 N and have a coefficient of kinetic friction with water of 0.10. Unfortunately, the skis run out of fuel after only 90 s. What is Jason's top sneed?Jason takes off from rest across level water on his jet-powered skis. The combined mass of Jason and his skis is 75 kg (the mass of the fuel is negligible). The skis have a thrust of 200 N and a coefficient of kinetic friction on water of 0.10. Unfortunately, the skis run out of fuel after only 27 s. How far has Jason traveled when he finally coasts to a stop?ASAP PLS SHOW ALL WORK In the movie “The Martian”, an astronaut needs to propel himself through space to get to a spaceship. He attempts to do this by puncturing the glove in his spacesuit, which contains 3.00 kg of air under pressure. He is initially at rest, with a mass (including the spacesuit and air) of 75.0 kg. If the air comes out at 28.0 m/s at a constant rate, what final speed does he reach when the air is used up?
- An astronaut of mass 180 kgkg including his suit and jet pack (when the jet pack is FULL and no gas has been used yet) wants to acquire a velocity of 1.6 m/sm/s to move back toward his space shuttle.Assuming the jet pack can eject gas with a velocity of 60 m/sm/s , what mass of gas will need to be ejected?A rocket with an initial mass of 1.56E6 kg is blasting-off. If the velocity of the expelled fuel is initially 3.11E3 m/s and it is being expelled at an initial rate of 9.40E3 kg/s, what is the initial acceleration during this lift-off?two balls, m1= 2 kg and m2= 5 kg, can slide without friction on a rod. a spring with a rigidity coefficient of k= 1000 N/m was connected to the ball with a mass of m2. since v1= 14 m/s and v2= 0; a) find the maximum compression that will occur in the spring when the balls collide. b) find the final speed of the balls after the collision. m, m2 k V1