A truck travelling due north with 20m/s turns towards west and travels at the same speed. Then the change in velocity is -
(1) 40 m/s north-west
(2) m/s north-west
(3) 40 m/s south-west
(4) m/s south-west
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 is -
(A)
(B)
(C)
(D)
What is the resultant of three coplanar forces: at , at and at ?
1.
2.
3.
4.
Two forces, and 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)
(B)
(C)
(D)
If the angle between vector a and b is an acute angle, then the difference ab is -
(1) the main diagonal of the parallelogram
(2) the minor diagonal of the parallelogram
(3) any of the above
(4) none of the above
What displacement must be added to the displacement to give a displacement of pointing in the x-direction?
(1)
(2)
(3)
(4)
A child pulls a box with a force of \(200~\text{N}\) at an angle of \(60^{\circ}\)
1. \(100~\text{N}, ~175~\text{N}\)
2. \(86.6~\text{N}, ~100~\text{N}\)
3. \(100~\text{N}, ~86.6~\text{N}\)
4. \(100~\text{N}, ~0~\text{N}\)
A man rows a boat at a speed of \(18~\text{km/hr}\)
1. \(9~\text{km/hr}\)
2. \(18\frac{\sqrt{3}}{2}~\text{km/hr}\)
3. \(18\cos 15^{\circ}~\text{km/hr}\)
4. \(18\cos 75^{\circ}~\text{km/hr}\)
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:
1.
2.
3.
4.
If the angle between the unit vectors and is , then is :
(1) 0
(2) 1
(3) 2
(4) 4