The acceleration due to gravity on planet Uranus is 8.82m/s². A ball is dropped from Uranus from a height of 6.2 meters. Determine the time the ball to fall off the surface of Uranus?
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- Suppose that in the future humans can travel to different earth like planets within our galaxy. You take a trip to a new planet with a different gravitational acceleration than earth. To test this gravitational acceleration, you decide to drop a ball a distance of 2 meters. You measure how long it takes the ball to fall 2.0 meter multiple times and take an average. The average drop time is 0.52 seconds. What is the approximate magnitude of the gravitational acceleration of the planet (in units of m/s squared)?A human expedition lands on an exoplanet. One of the explorers is able to jump a maximum distance of 18.0 m with an initial speed of 2.80 m/s. Find the gravitational acceleration on the surface of the exoplanet. Assume the planet has a negligible atmosphere. (Enter the magnitude in m/s2.)Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a radius of 312 km. If you are standing on the summit, with what initial velocity would you have to fire a projectile from a cannon horizontally to clear the volcano and land on the surface of Mars? Note that Mars has an acceleration of gravity of 3.7 m/s2.
- An interplanetary model rocket club is visiting planet X, which has a local gravitational acceleration of 6 m/s^2. One of the club members launches a rocket straight up from the surface of the planet, using an engine that burns for exactly 6 s and produces a net upward acceleration of 2 m/s^2 for the duration of the burn. Once the engine burns out, the rocket is subject only to the planet's gravity and eventually falls back to the ground. Construct a graph of the rocket's height above the ground as a function of time for the 12 s time period following the launch.Io, a satellite of Jupiter, is the most volcanically active moon or planet in the solar system. It has volcanoes that send plumes of matter over 500 km high. Due to the satellite's small mass, the acceleration due to gravity on Io is only 1.81 m/s2and Io has no appreciable atmosphere. Assume that there is no variation in gravity over the distance traveled. a)What must be the speed of material just as it leaves the volcano to reach an altitude of 380 km? b)If the gravitational potential energy is zero at the surface, what is the potential energy for a 33 kg fragment at its maximum height (500 km) on Io? c)How much would this gravitational potential energy be if it were at the same height (500 km) above earth?A projectile is fired straight upward from the Earth’s surface with an initial speed of 33.3 m/sec. What is its’ speed after 2.8 secs?
- Elon Musk’s SpaceX is proposing that commercial flights will be ready to go to the Moon in less than three years. Yusaku Maezawa, a Japanese billionaire, is seeking eight artists to join his trip to the Moon. He wants them to inspire everyone by creating artwork after they return to Earth. The acceleration due to gravity on the surface of the Moon is 16.6% of the acceleration due to gravity on Earth. To keep the artists comfortable, it is decided that as they lift off from the Moon, the acceleration they experience close to the surface of the Moon should be kept to the equivalent of 2.83 g (1?is the acceleration due to gravity on the surface of the Earth). What is the maximum thrust that one of the new rockets from Part 2 can withstand under this condition? Note: The weight of the artists is negligible compared to the weight of the rocket (given in part 2), so you can ignore it in your calculations!In his novel From the Earth to the Moon Jules Verne first suggested that it might be possible to travel to the moon by firing a very high velocity projectile at the moon. Find the minimum initial velocity of such a projectile as it leaves earth's atmosphere. Take into account the moon's gravitational force.A skater with mass 66 kg is skating on a horizontal surface at a constant speed 4.2 m/s. There is a ramp ahead, and the skater has just enough speed to make it to the top of the ramp (meaning the speed at the top of the ramp is 0 m/s). What is the height of the ramp in the unit of meters? Use g = 10 m/s2 for the acceleration due to gravity.
- An object is hovering about the surface of the earth. It begins to experience a gravitational acceleration of 2.0 m/s2. How high is it above the surface of the earth?While visiting Planet Physics, you toss a rock straight up at 15 m/s and catch it 2.4 s later. While you visit the surface, your cruise ship orbits at an altitude equal to the planet's radius every 210 min.As the first human astronaut to land on a distant planet, you are standing on the edge of a small cliff. You toss a small experiment apparatus straight up in the air and it reaches a maximum height before falling to the bottom of the cliff. You timed the event and it took 2.00 s to reach the top of its trajectory, and an additional 10.0 s to reach the bottom of the cliff. Given that the gravitational acceleration is about 4.00 m/s?, how high is the cliff? (For simplicity, let's assume that the astronaut tossed the ball from the surface of the cliff) Pick the correct answer 288 m 200 m O 8 m 128 m O 192 m