Need Help for all of this answers. Will give up to 700 points. (Elemantry Physic

Question

Need Help for all of this answers.

Will give up to 700 points.

(Elemantry Physics)

Useful Information: G 6.67 x 1011 Nm2/kg 1. What is the weight of a 70 kg astronaut a) on the Earth b) on the moon, where g 1.7 m/s c) on Venus, where g = 8.7 m/s2 d)In outer space ? 2. A stone is spun with a speed of 2.5 m/s in a circle of radius 0.5m a) b) c) What is the stone's centripetal acceleration? If the stone has a mass of 2 kg, what is the force on the stone? Relative to the circle, in what direction is the force on the stone? 3. A jet plane, traveling at a speed of 300 m/s, pulls out of a dive in a circular arc of radius 2500 m. What is the plane's acceleration? Acceleration can also be measured in units of "g's", where one g of a) b) acceleration is defined as g = 9.8m/s. Given your calculation of the plane's acceleration, how many "g's" of acceleration is the pilot of the plane experiencing? (Hint: Construct a conversion factor using the equation 1g 9.8m/s and convert your acceleration from units of m/s to an acceleration in units of "g's".) 4. Calculate the force of gravity between two 200 kg refrigerators that are 1.0 m apart (center to center). 5. If the mass of the earth was suddenly tripled, by what factor would your weight be changed? (That is, your new weight would be what factor times your old weight)? 6. If the moon changed its orbit so that it was only half as distant as it is now, by what factor would the gravitational force on the moon due to the earth be changed? (That is, by what factor must one multiply the old force to get the new force?)

Explanation / Answer

2. accleration centri = v^2/R

a = 2.5*2.5/0.5

a = 12.5 rad/s^2

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force F = mv^2/R

F = 2 * 12.5

F = 25 N

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direction is tangential to the surface of the circle

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