A spaceship has a mass of 80 kg at rest and accelerates to high speed. A person at rest on the ground observes that the spaceship has 100 kg. How fast (in x 108 m/s) is the spaceship?
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- An object has a rest mass of 185.0 kg. As the object moves, it is measured that its mass is 192.0 kg. How fast is the object moving?You find yourself stuck in outer space with nothing but your physics book and a space suit. You have a mass of 91 kg in your suit, and your physics book has a mass of 2.3 kg. In order to make it back to your stationary spaceship before running out of air, you must move at 0.18 m/s. How fast (in m/s) do you have to throw your physics book to achieve this speed?A man walks up to you and hands you an energy drink with mass 0.4 kg. You decide energy drinks aren't for you and throw it on the ground. At the moment the energy drink leaves your hand, it is moving downwards with a speed of 7 m/s and is 1 meter above the ground. Calculate the speed of the energy drink in m/s just before it impacts the ground. As before, assume g = 10 m/s^2. You may neglect air friction. Round your answer to one decimal place.
- Mass of a Moving Particle The mass m of a particle moving at a velocity v is related to its rest mass m0 by the equation m = m0 1 − v2 c2 where c (2.98 ✕ 108 m/s) is the speed of light. Suppose an electron of rest mass 9.11 ✕ 10−31 kg is being accelerated in a particle accelerator. When its velocity is 2.87 ✕ 108 m/s and its acceleration is 2.45 ✕ 105 m/s2, how fast is the mass of the electron changing? (Enter your answer in scientific notation rounded to three significant figures.) ✕ 10kg/sAn astronaut whose mass is 80 kg carries an empty oxygen tank with a mass of 10 kg. She throws the tank away from herself with a speed of 2.0 m/s. With what velocity does she move off into space? How long would it take her to move 200 m back to the spaceship?A train car, initially traveling at 40 m/s, approaches 3 identical coupled train cars, which are initially at rest. The moving train car hitches to the stationary train cars, and they all move off together. What is their final speed? O 40 m/s O 30 m/s O 20 m/s 10 m/s O Om/s
- A uranium nucleus (mass 238 units) at rest decays into helium nucleus (mass 4.0 units) and thorium nucleus (mass 234 units). If the speed of the helium nucleus is 6.0 x 10^5 m/s, what is the speed of the thorium nucleus?You find yourself stuck in outerspace with nothing but your physics book and spacesuit. You have a mass of 108kg in your suit and your physics book has a mass of 3.7 kg. In order to make it back to your stationary spaceship before running out of air you must move at .29 m/s. How fast in m/s do you have to throw your physics book to achieve the speedIf one mass is much greater than the other, the larger mass stays essentially at rest while the smaller mass moves toward it. Suppose a 1.5×1013 kg comet is passing the orbit of Mars, heading straight for the 1.99×1030 kg sun at a speed of 3.3 ×104 m/s. What will its speed be when it crosses the orbit of Mercury? The orbit of Mars is 2.28×108 km, the orbit of Mercury is 5.79×107 km, and G = 6.67×10-11 N⋅m2/kg2.
- Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide with a glancing blow. Asteroid A, which was initially traveling at vA1 = 40.0 m/s with respect to an inertial frame in which asteroid B was at rest, is deflected 30.0 from its original direction, while asteroid B travels at 45.0 to the original direction of A, as shown in (Figure 1). Find the speed of asteroids A and B after the collision. What fraction of the original kinetic energy of asteroid A dissipates during this collision?A Military aircraft that has a mass of 1.21 * 10^3 kg accelerates at 316 m/s for 15 seconds from initial speed of 2784 m/s a) How fast will be the military aircraft be travelling after 15 seconds? b) How much KE has the rocket gained?An astronaut with a total mass of 100 kg with his bag cannot return to the spaceship due to the exhaustion of the gas tank.He remembers that he could move forward by throwing his 10 kg toolbox against the direction he wanted to go. What will be the speed of the astronaut if he throws his bag from rest at a speed of 10 m / s?