Jupiter is the largest planet in our solar system, having a mass and radius that are, 318 and 11.2 times that of earth. Suppose that an object falls from rest near the surface of each planet and the acceleration due to gravity remains constant during the fall. Each object falls the same distance before striking the ground. What
Mars has a mass of 6.46 x 10^23 kg and a radius of 3.39 x 10^6 m. What is the acceleration due to gravity on Mars and how much would a 65 kg person weigh on this planet?
1) A 2-kg ball is moving with a constant speed of 5 m/s in a horizontal circle whose radius is 50 cm. What is the magnitude of the net force on the ball? a. 0 N b. 20 N c. 40 N d. 100 N 2) Kepler's second law tells us that planets sweep out equal areas in equal times. If you compare the amount of area per time swept b
A planet has a radius of 2.69 x 10^7 m and a mass of 3.06 x 10^25 kg. It orbits its sun at 1.15 x 10^11 m (assume a circular orbit) and the period of its orbit is 6.34 x 10^7 s. The mass of its sun is 9.22 x 10^31 kg. The radius of the sun is 1.50 x 10^9 m. What is the acceleration due to gravity on the surface of the planet (g)
1.) An astronaut shipwrecked on a distant planet with unknown characteristics is on top of a cliff, which he wishes to descend. He does not know the acceleration due to gravity on the planet, and he has only a good watch with which to make measurements. He wants to learn the height of the cliff, and to do this, he makes two meas
Why is your weight less at the top of a high mountain or at the equator, where there is a slight bulge in the earth? Are the astronauts in the space shuttle really experiencing zero gravity? Why or why not?
Planet X rotates in the same manner as the earth, around an azis through its north and south poles, and is perfectly spherical. An astronaut who weighs 943.0 N on the earth weighs 915.0 N at the north pole of Planet X and only 850.0 N at its equator. The distance from the norht pole to the quator is 18,850 km, measured along the
The star has a mass n_1 times that of the planet, which orbits this star. For a person on the planet, the average distance to the center of the star is n_2 times the distance to the center of the planet. In magnitude, what is the ratio of the star's gravitational force on you to the planet's gravitational force on you?
Mimas, a moon of Saturn, has an orbital radius of 1.87 x 10^8m and an orbital period of about 23h. Use Newton's version of Kepler's third law and these data to find the mass of Saturn.
Would you consider the relative age of Area A to be more than the relative age of Area B? See attached files for full problem description.
1. A 8754-kg satellite is orbiting planet Y at an altitude of 1.69x10^6 meters above its surface and with an orbital period of 15.2 hours. If the planet has a mass of 8.19x10^24 kg, then determine the radius of planet Y. 2. Suppose the earth had another moon which was 1.69 times as far from the center of the earth as our own
1. Suppose my car engine has a displacement of 350 cubic inches. I wish to compare this with a European car which has a displacement of 1.7 liters. Convert 350 cubic inches to liters. 2. Suppose an astronaut on an alien planet drops a hammer and finds that it falls a total distance of 6.0 yards in 2.0 seconds. a. How far w
Can you please explain/describe effusive volcanism on Mars?
An aluminum cube floats in a bowl of liquid mercury at 0oC. If the temperature is raised to 27.5oC, by what percent will the fraction of volume submerged change?
You are working for a telecommunication company that has several satellites in orbit. Your job is to work with NASA to monitor the satellites to see that they are functioning satisfactorily. One day, to your horror, an expensive 300-kg satellite orbiting at a height of 2000 km above the Earth surface has a freak accident with an
(See attached file for full problem description) --- Mark the following statements true or false. 1. (b) A conservative force can do no work on an object. 2. (a) Potential energy is necessarily a positive quantity. (b) Kinetic energy is necessarily a positive quantity. (c) The change in potential energy of an o
You are assigned the design of a cylindrical, pressurized water tank for a future colony on Mars, where the acceleration due to gravity is 3.71 meters per second per second. The pressure at the surface of the water will be 105 kPa, and the depth of the water will be 13.9 m. The pressure of the air in the building outside the tan
If D = 3.08 x 1011 meters and d = 1.08 x 1011 meters, and the green planet sweeps an area of 1 x 1014 m2 in a given short unit of time while traveling at 3.74 x 104 m/s, what is its speed at d to the nearest m/s? (See attached file for full problem description)
If the average distance from the sun for the red planet is 0.65 x 1011 meters, what is its period to the nearest hundredth of a year?
In the figure the blue planet has a period of 1 year and an average distance from the sun of 1.6 x 1011 meters. If the average distance from the sun for the red planet is 0.65 x 1011 meters, what is its period to the nearest hundredth of a year? See attached file for full problem description.
A planet/moon has a mass of 81.27 x 1023 kg and a radius of 12.95 x 106 meters. What is g on the surface to the nearest hundredth of a m/s2?
What is the height in cm of the column of mercury for a mercury barometer when the atmospheric pressure at a certain locations is 1.00 atm? The density of mercury is 13.55 g/cm^3
Every few hundred years most of the plants line up on the same side of the Sun. Calculate the total forces on the Earth due to Venus, Jupiter, and Saturn, assuming all four plants are in line. The masses are Mv = 0.815Me, M3=318Me, Ms=95.1Me and their mean distance from the sun are 108,150, 778 and 1430 million km respectively.
1. (a) Calculate the mass of the earth given the acceleration of gravity at the north pole is 9.830 m/s^2 and the radius of the earth is 6371 km from pole to pole. (b) Compare this with the accepted value of 5.979 x 10^24 kg. 2. (a) Calculate the ratio r^3/T^2 for the moon's orbit about the earth, where r is the average radi
1. Suppose we roll a ball off a table, at a speed of 2.0 m/s. This means that the initial velocity is completely horizontal; there is no initial component of velocity in the vertical direction. The table is 1.3 meters high. (A) How much time does it take the ball to hit the ground after leaving the table? (B) How far does the ba
A. Explain how the age of rocks can be determined by radioactivity. Give an example. b. How can scientists determine the internal structure of the Earth, if the depth of the deepest well is only a tiny fraction of the earth's diameter?
F. Which is hotter, Mercury or Venus? Why? h. Explain why there are two general families of planets, rocky terrestrial and gaseous jovian. j. What knowledge do comets and asteroids provide to studies of the origin of the solar system?
1. Explain what causes a lunar eclipse. Explain what causes a solar eclipse. Include a diagram. Why don't eclipses occur every month? 2. Describe the phase changes of the Earth that one would see if viewed from the Moon. 3. It is said that Newton unified Earth and the Universe. Explain.
3) A cheetah is hunting. Its prey run for 2.5 s at a constant velocity of +6.9 m/s. Starting from rest, what constant acceleration must the + cheetah maintain in order to run the same distance as its prey runs in the same time? 4) An astronaut on a distant planet wants to determine its acceleration due to gravity. The astro
(See attached file for full problem description) --- 1. A rock is thrown straight up from the earth's surface. Which one of the following statements concerning the net force acting on the rock at the top of its path is true? A It is equal to the weight of the rock. B It is instantaneously equal to zero newtons.
1. An airplane has a mass of 3.1 X 104 kg and takes off under the influence of a constant net force of 3.7 X 104 N. What is the net force that acts on the plane's 78-kg pilot? 3. In the amusement park ride known as Magic Mountain Superman, powerful magnets accelerate a car and its riders from rest to 45 m/s (about 100 mi/h)