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 |
 89%
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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 |
 66%
From NCERT
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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%
From NCERT
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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 |
 60%
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If \(\vec{a}\) is a vector and \(x\) is a non-zero scalar, then which of the following is correct?
1. \(x\vec{a}\) is a vector in the direction of \(\vec{a}\)
2. \(x\vec{a}\) is a vector collinear to \(\vec{a}\)
3. \(x\vec{a}\) and \(\vec{a}\) have independent directions
4. \(x\vec{a}\) is a vector perpendicular to \(\vec{a}\)

Subtopic:  Scalars & Vectors |
From NCERT
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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%
From NCERT
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The vector b, which is collinear with the vector a=(2, 1, -1) and satisfies the condition a.b=3 is-

1.  (1, 1/2, -1/2)

2.  (2/3, 1/3, -1/3)

3.  (1/2, 1/4, -1/4)

4.  (1, 1, 0)

Subtopic:  Scalar Product |
 53%
From NCERT
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If a, b and c are three non-zero vectors such that a+b+c=0, then the value of a.b+b.c+c.a will be:

1.  Less than zero

2.  equal to zero

3.  greater than zero

4.  3

Subtopic:  Scalar Product |
From NCERT
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Two vectors a and b inclined at an angle θ with respect to each other have a resultant c which makes an angle β with a. If the directions of a and b are interchanged, then the resultant will have the same

(A)  magnitude

(B)  direction

(C)  magnitude as well as direction

(D)  neither magnitude nor direction

Subtopic:  Resultant of Vectors |
 69%
From NCERT
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