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Laws of Motion

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Physics Part I

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Physics

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Two sphere A and B of masses m1 and m2 respectively collide. A is at rest initially and B is moving with velocity v along the x -axis. After the collision, B has a velocity v/2 in a direction perpendicular to the original direction. The mass A moves after collision in the direction

  • same as that of B

  • opposite to that of B

  • straight theta space equals space tan to the power of negative 1 end exponent space open parentheses 1 half close parentheses space to space the space straight x space minus axis
  • straight theta space equals space tan to the power of negative 1 end exponent space open parentheses fraction numerator negative 1 over denominator 2 end fraction close parentheses space to space the space straight x space minus axis

C.

straight theta space equals space tan to the power of negative 1 end exponent space open parentheses 1 half close parentheses space to space the space straight x space minus axis

Here, Pi = m2vi +m2 x 0



straight P subscript straight f space equals space straight m subscript 2 straight v over 2 straight j space plus space straight m subscript 1 space straight x space straight v subscript 2
Law space of space conservation space of space momentum
straight P subscript straight i space equals space straight P subscript straight f
straight m subscript 2 straight v subscript straight i space equals straight m subscript 2 space straight v over 2 straight j space plus straight m subscript 1 straight x space straight v subscript 1
straight v subscript 1 space equals space fraction numerator straight m subscript 2 over denominator straight m subscript 1 space end fraction vi space plus straight m subscript 2 over straight m subscript 1 straight v over 2 straight j
From space this space equation space we space can space find
tan space straight theta space equals space 1 half
straight theta space equals space tan to the power of negative 1 end exponent space open parentheses 1 half close parentheses space to space the space straight x minus space axis

Here, Pi = m2vi +m2 x 0



straight P subscript straight f space equals space straight m subscript 2 straight v over 2 straight j space plus space straight m subscript 1 space straight x space straight v subscript 2
Law space of space conservation space of space momentum
straight P subscript straight i space equals space straight P subscript straight f
straight m subscript 2 straight v subscript straight i space equals straight m subscript 2 space straight v over 2 straight j space plus straight m subscript 1 straight x space straight v subscript 1
straight v subscript 1 space equals space fraction numerator straight m subscript 2 over denominator straight m subscript 1 space end fraction vi space plus straight m subscript 2 over straight m subscript 1 straight v over 2 straight j
From space this space equation space we space can space find
tan space straight theta space equals space 1 half
straight theta space equals space tan to the power of negative 1 end exponent space open parentheses 1 half close parentheses space to space the space straight x minus space axis

893 Views

State Galileo’s law of motion.

Galileo’s law of motion states that, a body continues to move in the same direction with constant speed, if no force is acting on the body. 
1332 Views

Is Aristotle’s law of motion now correct?

No. Aristotl'e law of motion is false. 
1233 Views

Define inertia.

The property by virtue of which the body cannot change its state of rest or uniform motion in a straight line, unless an external force is acting on the body is called as Inertia. 
1316 Views

When the branches of an apple tree are shaken, the apples fall down. Why?

The apple fall from an apple tree when it shaken because of inertia of rest. Apple is in a state of rest and when the tree is suddenly shaken, apples still tends to remain in it's same state of rest whereas branches move. 

So, the apples fall down. 
1475 Views

What is Aristotle’s law of motion?

Aristotle’s law of motion states that an external force is required to keep the body in motion.
2445 Views