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Motion In Straight Line

Question
CBSEENPH11017669
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Two masses of 25 kg and 75kg are separated by a distance 20m. Find the gravitational potential at a point at a distance of 5 m from 25kg mass.

Solution

Given,
Mass of first body, m1 = 25 kg
Mass of second body, m2 = 75 kg
r1 = 5 m and r2 = 15 m
           
Let straight V subscript 1 space and space straight V subscript 2 be the gravitational potential due to masses 25 kg and 75 kg respectively. 
Using the formula for gravitational potential,
  straight V subscript 1 equals negative GM subscript 1 over straight r subscript 1 equals fraction numerator 6.66 cross times 10 to the power of negative 11 end exponent cross times 25 over denominator 5 end fraction 
     equals space 3.33 space cross times space 10 to the power of negative 10 end exponent straight J divided by kg            

and
space space space space space space space space straight V subscript 2 equals negative GM subscript 2 over straight r subscript 2 equals fraction numerator 6.66 cross times 10 to the power of negative 11 end exponent cross times 75 over denominator 15 end fraction 
         equals 3.33 cross times 10 to the power of negative 10 end exponent straight J divided by kg 
The total potential at the given point is,
straight V equals straight V subscript 1 plus straight V subscript 2 equals 6.66 cross times 10 to the power of negative 10 end exponent straight J divided by kg, is the gravitational potential at a point at a distance of 5m from the 25 kg mass. 

Some More Questions From Motion in Straight Line Chapter

Can a train be taken a particle? Give an example in support of your answer.

 A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion: 

(a) A kite flying in the sky.

(b) The earth revolving around the sun. 

(c) A train moving along the equator of the earth in clockwise direction. 

(d) Accelerated motion of a particle in a straight line.

Define distance.

Define displacement.

Can magnitude of displacement be greater than distance travelled by particle?

A body is thrown with a velocity of 9.8 m/s in the vertical upward direction. What is the velocity after one second?

How does the displacement of a particle change, when reference point for the position is shifted?

A particle moves from A to B along three different paths. Is the displacement along three paths different?

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