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John Gabbard

John G.

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Penny Riley verified

Numerade educator

Problem 3: A spring and two masses Two identical masses (m) on a frictionless plane have a spring in between them. The spring has a length (L) when it is not compressed. The spring has been compressed between the two masses so it has length Lo. The frictionless plane is at the bottom of a valley with two inclined planes on either side of the masses. Both inclined planes have coefficients of kinetic friction of ?k and angles of inclination of ?. No Friction If the spring between the masses is released and allowed to expand, what is its spring constant if both masses make it a distance of D up each incline? (find the spring constant k in terms of m, L, Lo, ?, ?k, D, and g)

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Timothy James verified

Numerade educator

Problem 6: Gravity and Circular Orbits A binary star system has two identical stars, each with mass M = 3 x 10³? at a distance of 2R away from each others centers. R = 150 x 10? meters and is the radius of the circular path both stars follow as they orbit a point directly in between them. a) What speed is each star travelling at? (derive the expression) b) A spaceship is at rest directly in between both stars. What speed does the ship need to leave the Binary system and never return (what is the escape velocity from that position)? (derive the expression)

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David Morabito verified

Numerade educator

Problem 4: A shelf and a wire A flat shelf of length L = is supported by a wire that is connected to a wall and the end of the shelf. The wire makes an angle of ? = 60° between the wire and the wall. The contact point between the shelf and the wall is a frictionless hinge. The shelf itself has a mass of ms = 10 kg, but it also supports a block that is mass mb = 2 kg. The block is positioned 2/3 of the way from the wall to end of the shelf. What is the tension force on the wire?

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Penny Riley verified

Numerade educator

Problem 1: Angular Momentum A comet of mass m = 1x10^20 kg will hit the Earth in the plane of the equator, but off center. The comet will strike a position on the Earth in line with a trajectory that would pass by the center of the Earth at a distance of 1/2 the Radius of the Earth. The collision will hit in opposition to the rotation of the Earth (it will try to spin the Earth the opposite direction). When the comet hits the Earth, it will become part of it. How fast must the comet be travelling to reduce the angular velocity of the earth by 1/2 ? (mass of Earth ME = 5.97 x 10^24 kg, radius of the Earth RE = 6.37 x 10^6 m)

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