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Motion in A Plane

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Physics Part I

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Physics

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CBSE Gujarat Board Haryana Board

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Class 10 Class 12

A time-dependent force F = 6t acts on a particle of mass 1 kg. If the particle starts from rest, the work done by the force during the first 1 sec. will be

  • 9J

  • 18 J

  • 4.5 J

  • 22 J


C.

4.5 J

F = 6t = ma
⇒ a = 6t
rightwards double arrow space dv over dt space equals space 6 straight t
integral subscript 0 superscript straight v dv space equals space integral subscript 0 superscript 1 6 straight t space dt
straight v space equals space left parenthesis 3 straight t squared right parenthesis subscript 0 superscript 1 space equals space 3 space straight m divided by straight s
from space work space energy space theorem
straight W subscript straight F space equals space increment straight K. straight E space equals space 1 half straight m space left parenthesis straight v squared minus straight u squared right parenthesis
space equals space 1 half left parenthesis 1 right parenthesis left parenthesis 9 minus 0 right parenthesis space equals space 4.5 straight J

F = 6t = ma
⇒ a = 6t
rightwards double arrow space dv over dt space equals space 6 straight t
integral subscript 0 superscript straight v dv space equals space integral subscript 0 superscript 1 6 straight t space dt
straight v space equals space left parenthesis 3 straight t squared right parenthesis subscript 0 superscript 1 space equals space 3 space straight m divided by straight s
from space work space energy space theorem
straight W subscript straight F space equals space increment straight K. straight E space equals space 1 half straight m space left parenthesis straight v squared minus straight u squared right parenthesis
space equals space 1 half left parenthesis 1 right parenthesis left parenthesis 9 minus 0 right parenthesis space equals space 4.5 straight J

1105 Views

Give three examples of vector quantities.

Force, impulse and momentum.
865 Views

What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
1212 Views

What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

A quantity must possess the direction and must follow the vector axioms. Any quantity that follows the vector axioms are classified as vectors. 


814 Views

What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
835 Views

Give three examples of scalar quantities.

Mass, temperature and energy
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