O Hint A common belief is that a hole in a jet plane can suck a person out. On an episode of a popular TV series, the hosts attempted to determine whether this is possible. According to the hosts' experiment, such an event cannot happen. Did they need to perform the experiment? As a science adviser to the show, the hosts ask you to perform a crude calculation to test the myth. A typical jet plane travels at 542 mph at a cruising altitude of 25500 ft. The windows on a jet plane measure 14.0 in × 14.0 in. Calculate the force F exerted on such a window as the plane flies at 25500 ft above the sea level. Assume the density and pressure of air at 25500 ft are 0.562 kg/m³ and 382 mbar, respectively, but that the interior of the plane remains pressurized to atmospheric pressure, 1 atm. Ib F = Calculate the fractional difference between this force and the weight wman of a typical adult male (185 lb). F Wman How would you respond to Adam and Jaime? O My calculation does not prove that such an event cannot happen; you will need to perform the experiment. There is no need to perform the experiment; it is impossible for a person to be sucked out of a plane.

The Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes:     Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass:   g What is the value, in dollars, of the same stack of dimes? value:   dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks:

A body with a mass of 10.0 kg is assumed to be in Earth's gravitational field with g 9. 80 m/s². What is the net force on the body if there are no other external forces acting on the object?

Imagine a particular exoplanet covered in an ocean of liquid ethane. At the surface of the ocean, the acceleration of gravity is 7.60 m/s2, and atmospheric pressure is 8.80 ✕ 104 Pa. The atmospheric temperature and pressure on this planet causes the density of the liquid ethane ocean to be 620 kg/m3. (a) What force (in N) is exerted by the atmosphere on a disk-shaped region 2.00 m in radius at the surface of the ocean? ______________ N (b) What is the weight, on this exoplanet, of a 10.0 m deep cylindrical column of ethane with radius 2.00 m? (Enter your answer in N.) _______________ N (c) What is the pressure (in Pa) at a depth of 10.0 m in the ethane ocean? ____________________ Pa

The gravitational constant g near the Earth's surface is 9.80 m/s2. What is g near the Moon's surface?

The gravitational acceleration on a planet's surface is 17.0 m/s2.  What is the gravitational acceleration at a point where you were 2.50 times the planet's radius above the surface of the planet?

You plan to take a trip to the moon. Since you do not have a traditional spaceship with rockets, you will need to leave the earth with enough speed to make it to the moon. Some information that will help during this problem:   mearth = 5.9742 x 1024 kgrearth = 6.3781 x 106 mmmoon = 7.36 x 1022 kgrmoon = 1.7374 x 106 mdearth to moon = 3.844 x 108 m (center to center)G = 6.67428 x 10-11 N-m2/kg2   1) On your first attempt you leave the surface of the earth at v = 5534 m/s. How far from the center of the earth will you get? 2) Since that is not far enough, you consult a friend who calculates (correctly) the minimum speed needed as vmin = 11068 m/s. If you leave the surface of the earth at this speed, how fast will you be moving at the surface of the moon? Hint carefully write out an expression for the potential and kinetic energy of the ship on the surface of earth, and on the surface of moon. Be sure to include the gravitational potential energy of the earth even when the ship is…

The mean diameters of X and Y, two planets in the same solar system, are 6.5 x 10³ km and 1.2 x 104 km, respectively. The mass of x is 0.21 times the mass of Y. The value of g on Y is 8.1 m/s². (a) What is the ratio of the mean density of X to that of Y (Px / Py)? (b) What is the value of g on X? m/s² (c) The mass of Y is 4.372 x 1024 kg. What is the escape speed on X? m/s

The mean diameters of planets A and B are 7.3 × 103 km and 1.2 × 104 km, respectively. The ratio of the mass of planet A to that of planet B is 0.41. (a) What is the ratio of the mean density of A to that of B? (b) What is the ratio of the gravitational acceleration on A to that on B? (c) What is the ratio of escape speed on A to that on B?