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Show that 1J = 10^7erg...

Show that `1J = 10^7`erg

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Mathematically, work is defined as the product of froce and displacement through which force acts. If F is the applied force, 'S' is the displacement in the direction of applied force and W is the work done, then : Work done = Force xx Displacement through which force acts. W = F xx S The SI unit of work is Joule (J) and cgs unit is erg. 1 J = 10^(7) erg. 6000 J of work is done to move a rock 25 m. How much force was applied ?

Mathematically, work is defined as the product of froce and displacement through which force acts. If F is the applied force, 'S' is the displacement in the direction of applied force and W is the work done, then : Work done = Force xx Displacement through which force acts. W = F xx S The SI unit of work is Joule (J) and cgs unit is erg. 1 J = 10^(7) erg. How much work is done by a person who uses a force of 50 N to move a grocery buggy 10 m ?

Mathematically, work is defined as the product of froce and displacement through which force acts. If F is the applied force, 'S' is the displacement in the direction of applied force and W is the work done, then : Work done = Force xx Displacement through which force acts. W = F xx S The SI unit of work is Joule (J) and cgs unit is erg. 1 J = 10^(7) erg. You and your friends apply a combined force of 800 N to push a stone. The amount of work done is 3200 J. What distance did the stone move ?

Show that each of the given three vectors is a unit vector: (1)/(7)(2hat i+3hat j+6hat k),(1)/(7)(3hat i-6hat j+2hat k),(1)/(7)(6hat i+2hat j-3hat k) Also,show that they are mutually perpendicular to each other.

Show that the vectors hat(i)-3hat(j)+4hat(k),2hat(i)-hat(j)+2hat(k)and 4hat(i)-7hat(j)+10hat(k) are coplanar.

Show that (7)/(10) is in the simplest form.

Show that: |int_10^19sinx/(1+x^8)dx|lt1/10^7

12).Show that the vector hat i+hat j+hat k is equally inclined with the coordinate axes.( 13 show that the vectors vec a=(1)/(7)(2hat i+3hat j+6hat k),vec b=(1)/(7)(3hat i-6hat j+2hat k),vec c=(1)/(7)(6hat i+2hat j-3hat k) are mutually perpendicular unit vectors.

Show that the points A(1,3,4),B(-1,6,10),C(-7,4,7) and D(-5,1,1) are have vertices of a rhombus.

Show that the points A(1,2,7),B(2,6,3) and C(3,10,-1) are collinear.

SL ARORA-Work, Energy and power-EXERCISE
  1. What is spring constant ? What are its SI units?

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  2. Calculate the number of joules in 1 kWh?

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  3. Show that 1J = 10^7erg

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  4. How will the momentum of a body change if its kinetic energy is double...

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  5. Show graphically the variation of potential energy of an object thrown...

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  6. How does kinetic energy of a moving ball change if its speed is reduce...

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  7. What is the work done by centripetal force in moving a body through ha...

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  8. What is an elastic collision ?

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  9. Define the term work. Calculate the work done by a constant force. Is ...

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  10. Give the expression for work done if angle between force oversetrighta...

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  11. Define the term work and derive its SI unit. Write an expression for t...

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  12. How do we calculate work done by a force ? Write any two conditions un...

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  13. What is the amount of work done by a weight-lifter in holding a weight...

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  14. What is the amount of work done by a weight-lifter in holding a locomo...

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  15. Derive an expression for the potential energy of an elastic stretched ...

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  16. Define power. Prove that P=oversetrightarrowF.oversetrightarrowv wher...

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  17. By what factor the velocity of a body should be increased so that its ...

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  18. Two bodies A and B weighing 5 kg and 6 kg respectively have equal mome...

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  19. Define kinetic energy. Give its units and dimensional formula.

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  20. Define potential energy. Give its units and dimensional formula.

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