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Find the work done in moving a particle ...

Find the work done in moving a particle along a `vector vec S= (4 hat i - hat j + 7 hat k)` if the applied force is `vec F = (vec i +2 vec j -vec k)` newton. `vec S` is in metre.

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SL ARORA-Motion in a Plane-Excercise
  1. State and prove the commutative property of vector addition.

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  2. Give one example of dot product of vectors. Also give its unit

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  3. Find the work done in moving a particle along a vector vec S= (4 hat i...

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  4. The angle between vectors A and B is 60^circ. What is the ratio of vec...

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  5. Obtain an expression for the area of a triangle in terms of the cross ...

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  6. A projectile is fired with a velocity 'u' making an angle theta with t...

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  7. A projectile is projected with velocity u making angle theta with hori...

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  8. A projectile is projected with velocity u making angle theta with hori...

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  9. Show that there are two angles of projection for which the horizontal ...

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  10. The angle of projection at which the horizontal range and maximum heig...

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  11. A projectile is fired at an angle theta with the horizontal with veloc...

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  12. Galileo, in his book Two new sciences, stated that "for elevations whi...

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  13. Show that the horizontalrange is same for a projectile whether theta i...

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  14. Prove that the maximum horizontal range is four times the maximum heig...

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  15. Uniform circular motion is an acceleration motion. Comment.

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  16. Derive the relation between linear displacement and angular displaceme...

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  17. Establish a relation between linear velocity and angular velocity in a...

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  18. Explain angular acceleration .Establish its relation with linear accel...

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  19. For a uniform circular motion show that : v = rw

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  20. For a uniform circular motion show that : a = rw^(2)

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