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A steel plug has a diameter of 5cm at 30°c at what temperature will it fit exactly into a hole of constant diameter 4.9cm

A point charge of q = 4µC is 3cm apart from the charge q 1 = 1µC.

a. Find the magnitude of the Coulomb force which one particle exerts on the other.

b. Is the force attractive or repulsive?


Two like and equal charges are at a distance of d= 5cm and exert a force of F= 9 x 10 -3 N on each other.

a. Find the magnitude of each charge.

b. What is the direction of the electrostatic force between them?



(10%) Problem 7: NASA uses a device often called the "vomit comet" to simulate the effects of low gravity in space during astronaut training. The device moves in circular arcs at a speed of v = 213 m/s.



What is the radius the pilot must fly to create weightlessness as they go around the top of the circular arc? Give your answer in meters.

A person is trying to ride a bike all the way round the inside of



a pipe for a stunt in a film. The filmmaker wants to know what



speeds are involved. The pipe has a diameter of 8 m.



The mass of the bike and rider is 400 kg. The rider goes at a



constant speed of 5 m/s.



a) What is its acceleration at the bottom?



b) What is the force on the bike at an angle of 30° up from the



bottom?



c) What is the minimum velocity at the top for the bike and



rider to stay moving in a circle?



d) Do the bike and rider have sufficient velocity to stay moving



on a circle at the top?�

How fast would the moon need to travel in order to escape the gravitational




pull of Earth, if Earth has a mass of 5.98 X 1024 kg and the distance from




Earth to the moon is 3.84 x 108 m?

Ashman pulls a 4.5 kg bucket of water from a well of 2.8 m depth by a rope. Draw a labeled free-body diagram of the bucket and find the magnitude of tension force in the rope if the upward acceleration of the bucket is 1/4 g. .


Two objects gravitationally attract with a force of 25.0N. If the distance between the two objects' centers is doubled, then the new force of attraction is ___ N


A reinforced concrete square pole is to withstand a wind shear force of 450.0 kN.

Calculate the relevant cross-sectional side dimensions of the pole for a safety factor

of 9.00. [Ultimate Shear Strength of the reinforced concrete = 125 MPa]


Draw a diagram of a rectangular object under a shear force. Label your diagram.


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