A force F=3i^+cj^+2k^ acting on a particle causes a displacement d=-4i^+2j^+3k^. If the work done is 6J then the value of 'c' is- [Given: W=F.d]

1. 12 

2. 0

3. 6

4. 1

Subtopic:  Scalar Product |
 82%
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A particle moving along a straight line according to the law x=At+Bt2+Ct3, where x is its position measured from a fixed point on the line and t is the time elapsed till it reaches position x after starting from the fixed point. Here A, B and C are positive constants.

(1)  Its velocity at t=0 is A

(2)  Its acceleration at t=0 is B

(3)  Its velocity at t=0 is B

(4)  Its acceleration at t=0 is C

Subtopic:  Differentiation |
 80%
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If the velocity of a particle moving on x-axis is given by v=3t2-12t+6. At which time is the acceleration of particle zero?

1.  2 sec

2.  2+2 sec

3.  2-2 sec

4.  zero

Subtopic:  Differentiation |
 84%
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Momentum of a body moving in a straight line is p=t2+2t+1 kg m/s. Find the force acting on a body at t=2 sec

(1)  6 N

(2)  8 N

(3)  4 N

(4)  2 N

Subtopic:  Newton's Laws |
 83%
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A particle moves along straight line such that at time t its position from a fixed point O on the line is x=3t2-2. The velocity of the particle when t=2 is:

(A)  8 ms-1

(B)  4 ms-1

(C)  12 ms-1

(D)  0

Subtopic:  Differentiation |
 90%
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Coordinates of a moving particle are given by x=ct2 and y=bt2. The speed of the particle is given by

(1)  2t c+b

(2)  2t c2-b2

(3)  t c2+b2

(4)  2t c2+b2

Subtopic:  Resultant of Vectors |
 65%
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The x and y components of vector A are 4m and 6m respectively. The x, y components of vector A+B are 10m and 9m respectively. The length of B is ______ and angle that B makes with the x axis is given by _______.

(A)  0.45m, tan-11/2

(B)  4.5m, tan-11/2

(C)  45m, tan-11/2

(D)  45m, tan-11/2

Subtopic:  Resultant of Vectors |
 77%
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A particle travels with speed 50 m/s from the point (3, 7) in a direction 7i^-24j^. Find its position vector after 3 seconds.

1.  151i^+45j^

2.  45i^-137j^

3.  151i^-45j^

4.  4.5i^-151j^

Subtopic:  Resultant of Vectors |
 58%
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If \(\overrightarrow{a}\) is a vector and \(x\) is a non-zero scalar, then which of the following is correct?

1. \(x\overrightarrow{a}\) is a vector in the direction of \(\overrightarrow{a}\).
2. \(x\overrightarrow{a}\) is a vector collinear to \(\overrightarrow{a}\).
3. \(x\overrightarrow{a}\) and \(\overrightarrow{a}\) have independent directions.
4. \(x\overrightarrow{a}\) is a vector perpendicular to \(\overrightarrow{a}\).
Subtopic:  Scalars & Vectors |
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If \(\theta\) is the angle between two vectors a and b, and |a×b|=a.b, then \(\theta\) is equal to:
1. \(0^\circ\)
2. \(180^\circ\)
3. \(135^\circ\)
4. \(45^\circ\)

Subtopic:  Vector Product |
 75%
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