The space shuttle fleet was designed with two booster stages. If the first stage provides a thrust of 5.25 Mega-newtons and the space shuttle has a mass of 4,470,000 pound-mass, what is the acceleration of the spacecraft in miles per hour squared?
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- Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 km (or even higher) above the surface. Io has a mass of 8.93×1022kg8.93×1022kg and a radius of 1821 km. How high would this material go on earth if it were ejected with the same speed as on Io? (RE = 6370 km, mE=5.96×1024kg)A car (mass 1000 kg) is traveling at 60 mph (26.82 m/s) when the driver notices a cat 50 m ahead in the road. Wanting to save the feline's life, the driver slams on the brakes and comes to a stop 2 m in front of the cat. What was the car's acceleration as it was braking?A space worker exerts a force of 256 N on a spaceship and it accelerates at 8 m/s/s. What is the ship's mass?
- A planet of mass 8 × 1024 kg is at location ‹ −5 × 1011, 8 × 1011, 0 › m. A star of mass 9 × 1030 kg is at location ‹ 4 × 1011, −6 × 1011, 0 › m. What is the force exerted on the planet by the star? (It will probably be helpful to draw a diagram, including the relevant vectors.)The centers of the earth and its moon are separated by an average of 3.84 c 10^5 m and the moon's mass is 7.35 c 10^22 kg. What does Earth's moon exert on a 10 kg mass?A proton is located at (0, 0, -1.0 x 10-9) m, and an alpha particle (consisting of two protons and two neutrons) is located at (1.0 x 10-9, 0, 2.5 x 10-9) m. (Express your answers in vector form.) (a) Calculate the force the proton exerts on the alpha particle. XN (b) Calculate the force the alpha particle exerts on the proton. X N
- A train pulled by a diesel engine moves down a track at 20.0 m/s. The mass of the diesel engine is 113000 kg, and the mass of each of the 10 cars is 91,500 kg. If the train attempts to coast up a hill of height 10.0 m, what is its final velocity at the top of the hill?Our solar system is roughly 2.2 x 1020 m away from the center of the Milky Way galaxy, and the system is moving at roughly 231.4 km/s around the galaxy's center. Since most of the galaxy's mass is near its center (and we are on an outer arm of this spiral galaxy), let's model the galaxy has a spherical mass distribution (like a single, giant star that our system is orbiting around). What is the mass of the galaxy (according to our rough, spherical model)? Obviously, this will be a VERY big answer, and so enter in your answer to the order of 1040 kg. In other words, calculate the answer, and then divide by 1040 and then enter in the result. BTW - by assuming that all mass in the galaxy is made up of stars that are about the same mass as our sun, it isn't too hard to then estimate how many stars are in the galaxy!). As an another aside, some measurements and observations that we have taken in Astronomy suggests that in reality, stars only make up a fraction of the total massA certain asteroid in space can travel 48.0 km in 3.0 seconds. Its kinetic energy is known to be 3.84 x 1018 Joules. What is the mass of the asteroid?
- The froghopper holds the title of the best jumper of the animal world. A 0.0198-gram (1.98 X 10-5 kg) froghopper can accelerate from 0m/s to 4m/s in only one one thousandth of a second (0.001 s) as it jumps. What is the force delivered to the froghopper as it makes this jump?The position of a 2.6 kg mass is given by x=(2t3−5t2) m, where t is in seconds. What is the net horizontal force on the mass at t=0s? What is the net horizontal force on the mass at t=1s?A 210 kg satellite is in a circular orbit of 22,236 miles (35,768 km) in radius. The force keeping the satellite in orbit is 45.3 N. What is the velocity (speed) of the satellite?