A particle is moving in a circle of radius r centered at O with constant speed v. The change in velocity moving from A to B AOB=40° is -

(A)  2v cos 40°

(B)  2v sin 40°

(C)  2v cos 20°

(D)  2v sin 20°

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Resultant of Vectors
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If A=B+C and magnitudes of A, B and C are 5, 4 and 3 units respectively, the angle between A and C is -

(A)  sin-1 3/4

(B)  cos-1 4/5

(C)  cos-1 3/5

(D)  π/2

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Resultant of Vectors
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What is the resultant of three coplanar forces: 300 N at 0°400 N at 30° and 400 N at 150°?

1.  500 N

2.  700 N

3.  1100 N

4.  300 N

Concept Questions :-

Resultant of Vectors
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Two forces, F1 and F2 are acting on a body. One force is doubled of the other force and the resultant is equal to the greater force. Then the angle between the two forces is -

(A)  cos-1 1/2

(B)  cos-1 -1/2

(C)  cos-1 -1/4

(D)  cos-1 1/4

Concept Questions :-

Resultant of Vectors
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If the angle between vector a and b is an acute angle, then the difference a-b is -

(A)  the main diagonal of the parallelogram

(B)  the minor diagonal of the parallelogram

(C)  any of the above

(D)  none of the above

Concept Questions :-

Resultant of Vectors
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What displacement must be added to the displacement 25 i^-6 j^ m  to give a displacement of 7.0 m pointing in the x-direction?

(A)  18 i^-6 j^

(B)  32 i^-13 j^

(C)  -18 i^+6 j^ 

(D)  -25 i^+13 j^ 

Concept Questions :-

Resultant of Vectors
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The value of unit vector in the direction of vector A=5 i^-12 j^, is -

(A)  i^

(B)  j^

(C)  i^+j^/13

(D)  5 i^-12 j^/13

Concept Questions :-

Resultant of Vectors
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A child pulls a box with a force of 200 N at an angle of 60°above the horizontal. Then the horizontal and vertical components of the force are -

              

(A)  100 N, 175 N

(B)  86.6 N, 100 N

(C)  100 N, 86.6 N

(D)  100 N, 0 N

Concept Questions :-

Resolution of vectors
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A man rows a boat with a speed of 18 km/hr in northwest direction. The shoreline makes an angle of 15° south of west. Obtain the component of the velocity of the boat along the shoreline.

(A)  9 km/hr

(B)  1832 km/hr

(C)  18 cos 15° km/hr

(D)  18 cos 75° km/hr

Concept Questions :-

Resolution of vectors
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A bird moves from point (1, -2) to (4, 2). If the speed of the bird is 10 m/sec, then the velocity vector of the bird is:

(A)  5i^-2j^

(B)  54i^+2j^

(C)  0.6i^+0.8j^

(D)  6i^+8j^

Concept Questions :-

Resultant of Vectors
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