The gravitational constant g is 9.807 m/s² at sea level, but it decreases as you go up in elevation. A useful equation for this decreaseIn g is g= a - bz, where z is the elevationabove sea level, a = 9.807 m/s², and b=3.32 x 10-61/s². An astronaut "weighs" 80.0 kg at sea level. [Technically this means thathis/her mass is 80.0 kg.] Calculate this person's weight in N while floating around in the International Space Station (z=325 km). If theSpace Station were to suddenly stop in its orbit, what gravitational acceleration would the astronaut feel Immediately after the satellitestopped moving?The person's weight in N while floating around in the International Space Station IsThe astronaut feels a gravitational acceleration ofm/s²N.

The expression for g is given as,

Answered: The gravitational constant g is 9.807…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Mechanical Engineering The following equation is used to calculate a change in the kinetic energy of a moving mass: KE = 0.5 * m * (v2 - u2) Where the quantities are: the kinetic energy KE (in Joules), the mass m (in kg), the initial velocity u (in m/s) and the final velocity v (in m/s). Determine if the equation is dimensionally homogeneous or not.
for the opposite figure, a=4.2 m, b=4.2 m, c=2.1 m , r=1.4 m , and density of the shape is 2.8 kg/m² 1- What is the total mass in Kg?2- Where is Center of gravity (Xg) and (Yg)?3- find Ixx total and Iyy total
The gravitational constant g is 9.807 m/s2 at sea level, but it decreases as you go up in elevation. A useful equation for this decrease in g is g = a – bz, where z is the elevation above sea level, a = 9.807 m/s2, and b = 3.32 × 10–6 1/s2. An astronaut “weighs” 80.0 kg at sea level. [Technically this means that his/her mass is 80.0 kg.] Calculate this person’s weight in N while floating around in the International Space Station (z = 354 km). If the Space Station were to suddenly stop in its orbit, what gravitational acceleration would the astronaut feel immediately after the satellite stopped moving? In light of your answer, explain why astronauts on the Space Station feel “weightless.”
A Sherman tank weighs 33.4 short tons on earth. The gravity on mars is 3.721m/s?. What is its weight on earth in units of kip? What is its mass on earth in units of slug?
T F The specific weight of a fluid is the product of the fluid's density and the acceleration due to gravity. Stronger surface tension leads to higher capillary rise. Absolute pressures are frequently negative. If the pressure of fluid drops below the vapor pressure of that fluid at that temperature, the fluid will cavitate. F F T F F Density can be measured in lb;/ft° in the English system of units. For a hydrostatic incompressible fluid, pressure is independent of depth. A fluid with a high bulk modulus of elasticity is more difficult to compress than one with a low bulk modulus of elasticity. Viscosity is caused, in part, by the surface tension within a fluid. A fluid can resist an applied shear stress by deforming. Pressure increases faster with depth in less dense fluids than in more dense fluids. T F F F F F
If the specific volume of a certain gas is 0.7848 m^3/kg, what is its specific gravity?
A commonly used unit in everyday language to state weight is the pound (lb). There are actually several formal definitions of pound. One classification system defines a pound-mass (analogous to kg in SI units) and a pound-force (lbf) (analogous to a Newton); this is formally called English Engineering units but also commonly used in US Customary System units. The “pound” in the “pounds per square inch” of psi refers to pound-force. Hence, psi has units of force per area. Note that 1 lbf is defined as the gravitational force generated by 1 lb (mass) by multiplying it by the standard gravitational acceleration at the earth’s surface. Starting with just the two everyday conversion approximations every Canadian should know (1.00 kg ≈ 2.20 lb (mass) and 1.00 inch ≈ 2.54 cm), derive an approximation of 1.00 psi in Pa through unit conversions only (show each step).
The mass of a fluid system is 0.311 slug, its density is 480 kg/m^3 and g is 31.9 fps. Find (a) the specific volume. Find (b) the specific weight.Find (c) the total volume.
Q1: Apply appropriate solution method using math principles to prove that "the pressure at a point in a fluid has the same magnitude in all directions". Support your answer with sketch. Answer: Px Pz = Pn P are the mean pressures at the three surfaces in the x- and z-directions. Q2: Formulate the issue and identify key variables to prove that [AP = P2 - P, = pg Az = y, Az], where y, and p are the specific weight and density of the fluid, respectively. Az is the vertical distance. Support your answer with sketch. Q3: From fluid mechanics science perspective, define the center of gravity and the center of pressure. Q4: Identify the hydrostatic force acting on the top surface of a submerged rectangular plate by applying principles of engineering for the following cases: 1 tilted plate, (2 vertical plate, and 3 horizontal plate. Support your answer with sketch. Q5: By applying principles of fluid mechanics science, define the "rigid-body" and identify its features. Q6: Formulate the issue…
4. A skater with a mass of 60 kg coasting with a speed of 5 m/s approaches a ramp. (a) What is his KE at this point? [E-S-A] KE= '/2 *M y= KE- /z (60K9X5M/s') (b) How much GPE does the skater have as he approaches the ramp? Jno E-S-A necessary (c) As the skater moves up the ramp, (GPE, KE) will be converted to (GPE, KE) (d) How far up the ramp will the skater be able to make it without any extra force added? [E-S-A Round to nearest 0.1
A body weighs 1000 lb with gravity g defined in the English system. (a) What is the mass in kg? (b) What will the weight be in N? in the lunar gravitational field (c) What will be the acceleration if a force of 400 lb is applied on the moon and on the earth?
A block of metal measures 12 cm by 10 cm by 10 cm. When the block is hung from a spring scale, as shown in Figure 3a, the scale reads 30 kg. This is the "true mass" of the block. Suppose we attempt to measure the block's mass under water. The same mass, while hanging from the same scale, is completely submerged in water, as shown in Figure 3b. What is the reading (in kilograms) on the spring scale? Show and explain your work. Scale Figure 3a Figure 3b

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