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In: Physics

Four identical bowling balls are placed on the corners of a square drawn on the ground...

Four identical bowling balls are placed on the corners of a square drawn on the ground whose sides are each .2 meters long. If the mass of each ball is 4kg, a)What is the magnitude of the net gravitational force acting on one of the balls due to all others, b)what is the magnitude and direction of the resulting acceleration of that ball? Please give full steps so I can follow along. TIA

Solutions

Expert Solution

Gravitational force of attraction between two masses is ( is the distance between them)

The four masses are

Force acting on mass by other masses is

direction is upwards (along +ve Y-axis)

Components of force acting on mass by other masses are

direction is towards right(along +X axis)

direction is upwards

( along +Y axis)

Force acting on mass by other masses is

direction is towards right (along +ve X-axis)

a)

Force along +X direction is

Force along +Y direction is

Magnitude of net force acting on mass by other masses is

Direction of net force on is from the horizontal (+ve X axis) , that is towards ( diagonally opposite mass )

b)

Magnitude of acceleration of ball of mass is  

Direction of acceleration of is counter clockwise  from the horizontal (+ve X axis) ,

that is towards ( diagonally opposite mass )

genius_generous answered 5 months ago
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