If the angle between the unit vectors and is , then is :
(1) 0
(2) 1
(3) 2
(4) 4
Two constant forces and act on a body and displace it from the position to the position . What is the work done W?
(A) 9 Joule
(B) 41 Joule
(C) -3 Joule
(D) None of these
A vector A points, vertically upward and, B points towards north. The vector product is -
1. along west
2. along east
3. zero
4. vertically downward
The linear velocity of a rotating body is given by , where is the angular velocity and r is the radius vector. The angular velocity of a body, and their radius vector is will be:
1.
2.
3.
4.
The displacement of a particle is given by \(y = a+bt+ct^2-dt^4\). The initial velocity and initial acceleration, respectively, are: \(\left(\text{Given:}~ v=\frac{dx}{dt}~\text{and}~a=\frac{d^2x}{dt^2}\right)\)
1. \(b, -4d\)
2. \(-d, 2c\)
3. \(b, 2c\)
4. \(2c, -4d\)
The momentum is given by p=4t+1, the force at t=2s is-
(A) 4 N
(B) 8 N
(C) 10 N
(D) 15 N
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