If the momentum of a particle is given by P=(180-8t) kg m/s, then its force will be-
(1) Zero
(2) 8 N
(3) -8 N
(4) 4 N
If \(f \left(x\right) = x^{2} - 2 x + 4\), then \(f(x)\) has:
1. | \(x=1\). | a minimum at
2. | \(x=1\). | a maximum at
3. | no extreme point. |
4. | no minimum. |
A particle is moving along x-axis. The velocity v of particle varies with its position x as . Find velocity of particle as a function of time t given that at t=0, x=1 .
1.
2.
3.
4. None of these
A vector is directed along west of north direction and another vector along south of east. Their resultant cannot be in ____________ direction.
(1) North
(2) East
(3) North-East
(4) South
ABCD is a quadrilateral. Forces act at a point. Their resultant is
(A)
(B)
(C) zero vector
(D)
The maximum and minimum magnitude of the resultant of two vectors are 17 units and 7 units respectively. Then the magnitude of resultant of the vectors when they act perpendicular to each other is:
(1) 14
(2) 16
(3) 18
(4) 13
A vector makes an angle of and makes an angle of with the X-axis. The magnitudes of these vectors are 3 m and 4 m respectively. Find the magnitude of the resultant.
(A)
(B)
(C)
(D)
A particle is moving westward with a velocity Its velocity changed to northward. The change in velocity vector is:
(1) towards north east
(2) towards north west
(3) zero
(4) towards north west
Consider east as positive x-axis, north as positive y-axis and vertically upward direction as z-axis. A helicopter first rises up to an altitude of 100 m than flies straight in north 500 m and then suddenly takes a turn towards east and travels 1000 m east. What is position vector of helicopter. (Take starting point as origin)
(1)
(2)
(3)
(4)
A force Newton produces acceleration in a body. The mass of the body is (in kg)
(1)
(2)
(3)
(4)