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JEE PHYSICS MCQ: MOTION IN PLANE

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Application +4 | -1
A body of mass 10 kg10 \mathrm{~kg} is projected at an angle of 45∘45^{\circ} with the horizontal. The trajectory of the body is observed to pass through a point (20,10)(20,10). If TT is the time of flight, then its momentum vector, at time t=T2t=\frac{T}{\sqrt{2}}, is ______. [Take g=10 m/s2g=10 \mathrm{~m} / \mathrm{s}^2 ]
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Correct option: D
1002i^+(1002βˆ’200)j^100 \sqrt{2} \hat{i}+(100 \sqrt{2}-200) \hat{j}
Option D (1002i^+(1002βˆ’200)j^100 \sqrt{2} \hat{i}+(100 \sqrt{2}-200) \hat{j}) is correct because it correctly calculates the momentum vector at the specified time using projectile motion principles.

More Questions from MOTION IN PLANE

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Given, Pβƒ—=Aβƒ—+B⃗  and P=A+B.\mathrm{\vec P} = \mathrm{\vec A} + \mathrm{\vec B}\,\,\mathrm{and}\,P = A + B. The angle between A⃗ and Bβƒ—\mathrm{\vec A}\,and\,\mathrm{\vec B} is Assertion: The necessary condition for motion in two dimensions, velocity and acceleration vectors should have any angle between 0∘0^{\circ} and 90∘90^{\circ} between them.
Reason: For two-dimensional or three-dimensional motion, velocity and acceleration of an object works in opposite direction.
If (a+3b)β‹…(7aβˆ’5b)=0\mathrm{If}\,(\mathbf{a}+3 \mathbf{b}) \cdot(7 \mathbf{a}-5 \mathbf{b})=0 and
(aβˆ’4b)β‹…(7aβˆ’2b)=0(\mathbf{a}-4 \mathbf{b}) \cdot(7 \mathbf{a}-2 \mathbf{b})=0. Then, the angle between a\mathbf{a} and b\mathbf{b} is
At the top of the trajectory of a projectile, the direction of its velocity and acceleration are A ball is thrown at an angle ΞΈ\theta and another ball is thrown at an angle (90βˆ˜βˆ’ΞΈ)\left(90^{\circ}-\theta\right) with the horizontal direction from the same point with velocity 39.2Β msβˆ’139.2 \mathrm{~ms}^{-1}. The second ball reaches 50Β m50 \mathrm{~m} higher than the first ball. Find their individual heights. Take g=9.8Β msβˆ’2{g}=9.8 \mathrm{~ms}^{-2}. Assertion: The drover in a vehicle moving with a constant speed on a straight road is in a non-inertial frame of reference.

Reason: A reference frame in which Newton's laws of motion are applicable is non-inertial.
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