1. What was the initial speed of a ball thrown upwards (close to the surface of the earth) if it returns to the height from which it was initially thrown 5 seconds later? Neglect air resistance and give your answer in meters per second.
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- Planet Roton, with a mass of 3.25 x 1024 kg and a radius of 2700 km, gravitationally attracts a meteorite that is initially at rest relative to the planet, at a distance great enough to take as infinite. The meteorite falls toward the planet. Assuming the planet is airless, find the speed of the meteorite when it reaches the planet's surface. m/sPlanet Roton, with a mass of 9.00 x 1024 kg and a radius of 3600 km, gravitationally attracts a meteorite that is initially at rest relative to the planet, at a distance great enough to take as infinite. The meteorite falls toward the planet. Assuming the planet is airless, find the speed of the meteorite when it reaches the planet's surface. m/sA new planet has a mass of 2.0x10^24 kg, a radius of 4.5x10^6m, and no atmosphere. A 100 kg space probe is to be launched vertically from its surface. If the probe is launched with an initial kinetic energy of 6.0 x 10^8 J, the what will be its velocity when it reaches 5.2x10^6m from the center of the new planet?
- 5.The average person passes out at an acceleration of 7g (that is, seven times the gravitational acceleration on Earth). Suppose a car is designed to accelerate at this rate. How much time would be required for the car to accelerate from rest to 70.7 miles per hour? (The car would need rocket boosters!) 4. Two boats start together and race across a 46-km-wide lake and back. Boat A goes across at 46 km/h and returns at 46 km/h. Boat B goes across at 23 km/h, and its crew, realizing how far behind it is getting, returns at 69 km/h. Turnaround times are negligible, and the boat that completes the round trip first wins. Which boat wins? (Or is it a tie?)By how much? (km/h) What is the average velocity of the winning boat? (km/h)A number of gas giant planets orbiting other stars at distances less than 1 A.U. have been discovered. Because of their proximity to their parent stars, and their compositional similarity to Jupiter, they have been labeled “Hot Jupiters”. The orbital radius of one of these planets is 0.06 A.U. with average orbital speed 600 km/sec. What is the length of this planet’s year in Earth (solar) days? Estimate the mass, M, of its parent star in terms of the mass of the sun (M) using Newton’s first form of Kepler’s 3rd Law. Calculate the star’s luminosity, L, in terms of the luminosity of the sun (L☉), Note: (LL=MM4where L ~ 4 × 1026 W ). The radius of this planet is 1.5 times the radius of Jupiter. Assuming its equilibrium temperature is the temperature at which the planet radiates as much energy as it receives from its star, estimate the temperature of the planet. The value of the planet’s albedo is 0.8. (NOTE: The intensity of the star’s radiant power at a distance d from the star is…What’s the speed of a point on the equator of a planet whose radius is 2.2 times that of Earth?
- 6. A rock is dropped from the top of a tall tower. Half a second lateranother rock, twice as massive as the first, is dropped. Ignoring airresistance,(A) the distance between the rocks increases while both are falling.(B) the acceleration is greater for the more massive rock.(C) they strike the ground more than half a second apart.(D) they strike the ground with the same kinetic energy.Step by step please. Thank you.You are not on earth. You shoot a firework into the air. It reaches a certain peak height and then explodes into three pieces. One fragment travels exactly north. A second fragment travels exactly northwest.(a) Choose values for the following. None of them can be 0. i. The value of gravitational acceleration on this planet 10mls² ii. The velocity of the firework as it leaves the ground 10mls iii. The mass of the firework 4kg iv. The masses of the three fragments 1kg, 2kg, 1kg v. The velocity of the northbound fragment after the explosion 8mls vi. The velocity of the northwest-bound fragment after the explosion 8mls(b) Draw the following four photos. i. Photo 1 is a side view of the launch of the firework. ii. Photo 2 is a top (bird’s-eye) view of the firework just before the explosion. iii. Photo 3 is a top (bird’s-eye) view of the firework just after the explosion. iv. Photo 4 is a side view of the fragments as they land.(c) Label the origin and axes on photo 1 and photo…
- Question 2 please show workC) ESA wants to send a satellite to Jupiter to investigate its internal structure and origin by measuring the atmospheric composition and temperature. The spacecraft will leave Earth from a parking orbit of radius 6578 km and arrive at Jupiter in a parking orbit of radius 75782 km. What is the total velocity change required to do this mission? How long would it take for the satellite to arrive at Jupiter?A rock is thrown upward with an initial speed of 18 m/s on Planet X, which has an acceleration due to gravity of 4.5 m/s2. There is no atmosphere on Planet X. a) How long does the rock take to reach its apex?