Newton’s Law of Motion
PHXI05:LAWS OF MOTION

363519 A particle moves in \(x-y\) plane under the influence of a force \(\vec{F}\) such that its linear momentum is \(\vec{b}(t)=\cos (k t) \hat{i}-\sin (k t) \hat{j}\). If \(k\) is constant, the angle between \(\vec{F}\) and \(\vec{p}\) will be

1 \(\pi / 4\)
2 \(\pi / 3\)
3 \(\pi / 2\)
4 \(\pi / 6\)
PHXI05:LAWS OF MOTION

363520 The \(X\) and \(Y\) components of a force F acting at \(30^\circ \) to \(X\)-axis are respectively

1 \(\frac{F}{{\sqrt 2 }},F\)
2 \(\frac{F}{2},\frac{{\sqrt 3 }}{2}F\)
3 \(\frac{{\sqrt 3 }}{2}F,\frac{1}{2}F\)
4 \(F,\frac{F}{{\sqrt 2 }}\)
PHXI05:LAWS OF MOTION

363521 Assertion :
For applying the second law of motion, there is no conceptual distinction between inanimate and animate objects.
Reason :
An animate object does not require an external force to accelerate.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI05:LAWS OF MOTION

363522 A body with mass 5 \(kg\) is acted upon by a force \(F = ( - 3\hat i + 4\hat j)N\). If its initial velocity at \(t = 0\) is \(v = (6\hat i - 12\hat j)\,m{s^{ - 1}}\), the time at which it will just have a velocity along the \(y\)-axis is

1 \({\rm{Never}}\)
2 \(10\,s\)
3 \(2\,s\)
4 \(15\,s\)
PHXI05:LAWS OF MOTION

363519 A particle moves in \(x-y\) plane under the influence of a force \(\vec{F}\) such that its linear momentum is \(\vec{b}(t)=\cos (k t) \hat{i}-\sin (k t) \hat{j}\). If \(k\) is constant, the angle between \(\vec{F}\) and \(\vec{p}\) will be

1 \(\pi / 4\)
2 \(\pi / 3\)
3 \(\pi / 2\)
4 \(\pi / 6\)
PHXI05:LAWS OF MOTION

363520 The \(X\) and \(Y\) components of a force F acting at \(30^\circ \) to \(X\)-axis are respectively

1 \(\frac{F}{{\sqrt 2 }},F\)
2 \(\frac{F}{2},\frac{{\sqrt 3 }}{2}F\)
3 \(\frac{{\sqrt 3 }}{2}F,\frac{1}{2}F\)
4 \(F,\frac{F}{{\sqrt 2 }}\)
PHXI05:LAWS OF MOTION

363521 Assertion :
For applying the second law of motion, there is no conceptual distinction between inanimate and animate objects.
Reason :
An animate object does not require an external force to accelerate.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI05:LAWS OF MOTION

363522 A body with mass 5 \(kg\) is acted upon by a force \(F = ( - 3\hat i + 4\hat j)N\). If its initial velocity at \(t = 0\) is \(v = (6\hat i - 12\hat j)\,m{s^{ - 1}}\), the time at which it will just have a velocity along the \(y\)-axis is

1 \({\rm{Never}}\)
2 \(10\,s\)
3 \(2\,s\)
4 \(15\,s\)
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PHXI05:LAWS OF MOTION

363519 A particle moves in \(x-y\) plane under the influence of a force \(\vec{F}\) such that its linear momentum is \(\vec{b}(t)=\cos (k t) \hat{i}-\sin (k t) \hat{j}\). If \(k\) is constant, the angle between \(\vec{F}\) and \(\vec{p}\) will be

1 \(\pi / 4\)
2 \(\pi / 3\)
3 \(\pi / 2\)
4 \(\pi / 6\)
PHXI05:LAWS OF MOTION

363520 The \(X\) and \(Y\) components of a force F acting at \(30^\circ \) to \(X\)-axis are respectively

1 \(\frac{F}{{\sqrt 2 }},F\)
2 \(\frac{F}{2},\frac{{\sqrt 3 }}{2}F\)
3 \(\frac{{\sqrt 3 }}{2}F,\frac{1}{2}F\)
4 \(F,\frac{F}{{\sqrt 2 }}\)
PHXI05:LAWS OF MOTION

363521 Assertion :
For applying the second law of motion, there is no conceptual distinction between inanimate and animate objects.
Reason :
An animate object does not require an external force to accelerate.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI05:LAWS OF MOTION

363522 A body with mass 5 \(kg\) is acted upon by a force \(F = ( - 3\hat i + 4\hat j)N\). If its initial velocity at \(t = 0\) is \(v = (6\hat i - 12\hat j)\,m{s^{ - 1}}\), the time at which it will just have a velocity along the \(y\)-axis is

1 \({\rm{Never}}\)
2 \(10\,s\)
3 \(2\,s\)
4 \(15\,s\)
PHXI05:LAWS OF MOTION

363519 A particle moves in \(x-y\) plane under the influence of a force \(\vec{F}\) such that its linear momentum is \(\vec{b}(t)=\cos (k t) \hat{i}-\sin (k t) \hat{j}\). If \(k\) is constant, the angle between \(\vec{F}\) and \(\vec{p}\) will be

1 \(\pi / 4\)
2 \(\pi / 3\)
3 \(\pi / 2\)
4 \(\pi / 6\)
PHXI05:LAWS OF MOTION

363520 The \(X\) and \(Y\) components of a force F acting at \(30^\circ \) to \(X\)-axis are respectively

1 \(\frac{F}{{\sqrt 2 }},F\)
2 \(\frac{F}{2},\frac{{\sqrt 3 }}{2}F\)
3 \(\frac{{\sqrt 3 }}{2}F,\frac{1}{2}F\)
4 \(F,\frac{F}{{\sqrt 2 }}\)
PHXI05:LAWS OF MOTION

363521 Assertion :
For applying the second law of motion, there is no conceptual distinction between inanimate and animate objects.
Reason :
An animate object does not require an external force to accelerate.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI05:LAWS OF MOTION

363522 A body with mass 5 \(kg\) is acted upon by a force \(F = ( - 3\hat i + 4\hat j)N\). If its initial velocity at \(t = 0\) is \(v = (6\hat i - 12\hat j)\,m{s^{ - 1}}\), the time at which it will just have a velocity along the \(y\)-axis is

1 \({\rm{Never}}\)
2 \(10\,s\)
3 \(2\,s\)
4 \(15\,s\)