A rocket of mass 95 kg (including fuel) contains fuel of total mass 76 kg.At t = () the rocket is lunched directly upward with initial speed 17 m/s. The fuel is burned and emitted with constant rate0.7 kg/s with speed 1292 m/s relative to the rocket.αNeglect gravity and find the speed of the rocket at t10.14 s.

A rocket with a total mass of 95 kg (including 76 kg of fuel) is launched straight up at 17 m/s. The…

Answered: A rocket of mass 95 kg (including fuel)…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Our brave astronaut Ms. Rose Noneck is at rest spacewalking 9.3 m away from her spaceship when her jetpack runs out of electricity (powered by TCC?). And worst – she is down to 60 seconds of oxygen left – there's plenty in her spaceship as well as her delicious lunch of baba ganoush. She remembers Prof. P's class and throws her 23.6 kg jetpack in the opposite direction of her spaceship at 1.4 m/s. Her mass is 55 kg. Will she make it back to her spaceship before she runs out of air? Convince me with numbers - tell me how long in seconds it takes for her to get back. Will we be seeing her in Exam 4? Or is it the end for her?
You are abducted by aliens and find yourself locked in a large room on some strangeplanet. To pass the time, you decide to do some experiments using a ball-and-chain thatyou find on the floor. You make the following estimates:mBALL approximately equals 7 kg, mCHAIN approximately equals 0.5 kg, and CHAIN approximately equals 2 m. (a) When you hold the free end of the chain above your head and allow the ball to swinglike a pendulum, you use your wristwatch to measure the period as T approximately equals 4s. What is theacceleration due to gravity on this planet? Give explanation to your answer (b)If the ball accidentally hits a wall, how long does it take for this jolt in the chain totravel up to your hand?
In a very busy off-campus eatery, one chef sends a 201 g broccoli-tomato-pickle-onion-mushroom pizza sliding down the counter from left to right at 1.79 m/s. Almost simultaneously, the other chef launches a 335 g veggie burger (with everything, but hold the horseradish) along the same counter from right to left at 2.47 m/s. The two delicacies collide head-on at the given speeds. The counter is practically friction-free due to accumulated grease. The two delicacies merge into a single, unbelievably savory serving. In what direction does the merged meal move, if it moves at all? A) does not move B) to the right C) to the left At what speed does it move in m/s? Enter a positive number.
A spaceship's orbital maneuver requires a speed increase of 1.05 ✕ 103 m/s. If its engine has an exhaust speed of 2.45 ✕ 103 m/s, determine the required ratio Mi Mf of its initial mass to its final mass. (The difference Mi − Mf equals the mass of the ejected fuel.)
For Christmas you receive a new toy train engine of mass m1 = 1.0 kg. Playing around, youset your new toy going at 2.0 m/s, but you inadvertently cause a crash with another train of massm2 = 1.0 kg initially at rest. The crash converts 800 mJ of kinetic energy into sound and thermalenergy. What are the resulting velocities of the two trains after the collision?
A cannon of mass M fires a projectile of mass m. The energy liberated in firing is E. Assume the projectile is discharged horizontally and that the cannon is mounted on wheels of a negligible mass. Using the fact that the energy E is taken up by both cannon and projectile and that momentum is conserved in the firing, do the following: A) Find the velocity of the projectile in terms of the masses and the energy E. B) By writing the velocity of the recoiling cannon in terms of the velocity of the projectile, find a relationship between the energy liberated, E, and the energy of the projectile. C) Explain what happens as M gets very large compared to m.
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?
In a very busy off-campus eatery one chef sends a 221 g broccoli-tomato-pickle-onion-mushroom pizza sliding down the counter from left to right at 1.59 m/s. Almost simultaneously, the other chef launches a 315 g veggieburger (with everything, but hold the horseradish) along the same counter from right to left at 2.27 m/s. The two delicacies collide head on at the given speeds. The counter is practically friction free due to accumulated grease. The two delicacies merge into a single, unbelievably savory serving. In what direction does the merged meal move, if it moves at all? a. to the right b. to the left c. does not move At what speed does it move in m/s? (positive number).
In the four momentum treatment of relativistic particle collisions or decays, The mass of a particle is different for various observers. O Momentum and energy are still conserved in any inertial frame of reference. O The energy equals the sum of the momentum, pc, plus the mass, mc2. O The momentum and energy for a process are the same in all frames of reference.
A child on ice skates with a mass of 35 kg and a velocity of 7.5 m/s [S] undergoes a collision with a second child on ice skates with a of mass 45 kg and a velocity of 3.5 m/s [S30°E]. If the two children become entangled during the collision, determine their final velocity.

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