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memorize.ai (lvl 286)

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A satellite is orbiting the earth just above its surface. The centripetal force making the satellite follow a circular trajectory is just its weight, so its centripetal acceleration is about 9.81 m/s2 (the acceleration due to gravity near the earth's surface). If the earth's radius is about 6370 km, how fast must the satellite be moving? How long will it take for the satellite to complete one trip around the earth?

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Date created

Mar 1, 2020

Cards (12)

Section 1

(12 cards)

A satellite is orbiting the earth just above its surface. The centripetal force making the satellite follow a circular trajectory is just its weight, so its centripetal acceleration is about 9.81 m/s2 (the acceleration due to gravity near the earth's surface). If the earth's radius is about 6370 km, how fast must the satellite be moving? How long will it take for the satellite to complete one trip around the earth?

Front

1 g (1 gravity) is 9.8 m/s squared , the acceleration due to gravity. 9.81 x 1000 = 9810 use the formula acceleration = speed squared/radius 6370 x 9810 = v squared square both sides to get the answer divide answer by 1000 to get the velocity t=2pieradians t=2pieR/V t= 2pie(6370 x 1000)/7.90 divide answer by minutes (60) to get the time...`

Back

If the water pressure at a pump station at sea level 4,000,000 Pa, how high can the water be pumped uphill, and how fast will it flow out of a faucet at a washing station at sea level?

Front

height = energy/volume 1/densityacc due to gravity 1) energy/volume = pressure 2) density = 1000 kg 3) acc due to gravity = 9.8 speed = energy/volume * 2/density (square root the answer to get the speed)

Back

The density of gold is 19 times that of water. If you take a gold crown weighing 38 N and submerge it in water, how much upward force must you exert on the submerged crown to keep it from accelerating? How much upward force must you exert on the submerged crown to keep it from accelerating whether the crown was gold-plated copper? (The density of copper is nine times that of water.)

Front

you take 38 N divided by 19 to get 2, and then you take take 38 - 2 to get the upward force that you must exert on the submerged crown to keep it from accelerating (36.0 N) 1) 38/9 = 4.22 2) 38-4.22 =33.8 N (this is the upward forced needed to keep the crown from accelerating whether the crown was gold-plated copper)

Back

Your new designer chair has an S-shaped tubular metal frame that behaves just like a spring with the spring constant 15000 N/m. When your friend, who weighs 930 N, sits on the chair, how far does it bend?

Front

formula: -spring constant =force/distortion -spring constant = 15000 force = 930 N distortion = unknown 15000 = 930/x 15000x=930 930/15000 =x x=0.062 (0.062 x 100 = 6.20 cm

Back

If your boat weighs 1700 N, how much water will it displace when it's floating motionless at the surface of a lake?

Front

take 1700 and divide it by 9.8 then times it by 1000 to get the answer of 0.173 m3

Back

Engineers are trying to create artificial "gravity" in a ringshaped space station by spinning it like a centrifuge. The ring is 90 m in radius. How quickly must the space station turn in order to give the astronauts inside it apparent weights equal to their real weights at the earth's surface?

Front

it is customary to measure feelings of acceleration in g's, where 1 g (1 gravity) is equal to the feeling of your actual weight. In this context, it is also customary to measure acceleration in g's, where 1 g (1 gravity) is 9.8 m/s squared , the acceleration due to gravity. use the formula (acceleration = speed squared/radius) 9.8 = speed squared/90 9.8 x 90 = speed squared square both sides to get 29.7 m/s

Back

Your town is installing a fountain in the main square. If the water is to rise 16 m (52.5 feet) above the fountain, how much pressure must the water have as it moves slowly toward the nozzle that sprays it up into the air? Assume atmospheric pressure equal to 100,000 Pa.

Front

use the formula (height=energy/volume 1/densityacc due to gravity) energy/volume represents atmospheric pressure A liter of water inside a pipe has a mass of 1 kg or 1,000 (this would be the density) (acc due to gravity is 9.8) 16m=x (energy/volume) 1/10009.8 16m=x*1/9800 16m=1.020408163Enegative4 16m/1.020... =156800 + 100,000 (atmopheric pressure) = 257000

Back

When you put water in a kitchen blender, it begins to travel in a 6-cm-radius circle at a speed of 1 m/s. How quickly is the water accelerating?

Front

use the formula (a=vsquared/radius) a = unknonw v squared = 1 radius = 6 cm (100 cm in one meter), 6/100 = 0.06 a=1/0.06 = 16.7 m/s

Back

When you put water in a kitchen blender, it begins to travel in a 5-cm-radius circle at a speed of 1 m/s. How hard must the sides of the blender push inward on 0.004 kg of the spinning water?

Front

use the formula centripetal force = mass x speed squared/radius force= unknown mass = 0.004kg speed squared = 1 radius = 0.05 (5/100-100 cm in a meter) centripetal force = 0.004 x 1/0.05 f= 0.004 x 20 =0.0800 N

Back

The density of gold is 19 times that of water. If you take a gold crown weighing 38 N and submerge it in water, what will the buoyant force on the crown be?

Front

Since the water the gold displaces has only 1/19 the mass of the gold, the buoyant force would be 38/19 or 2 N

Back

Your new designer chair has an S-shaped tubular metal frame that behaves just like a spring. When your friend, who weighs 590 N, sits on the chair, it bends downward 6 cm. What is the spring constant for this chair?

Front

formula: -spring constant = force/distortion -spring constant = unknown force = 590 N distortion = 0.06 (6/100) x= 590/0.06 =9830 N/m

Back

When the man, who weighs 700 N, stands on a particular trampoline, its springy surface shifts downward 0.1 m. If he bounces on it so that its surface shifts downward 0.25 m, how hard is it pushing up on him?

Front

formula: -spring constant = force/distortion -spring constant = 700 force = unknown distortion = 0.25 (for every 700 N, surface shifts downward 0.1 m) use formula: 700 = x/0.25 700 x 0.25 = 1750

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