Two balls having linear momenta p → 1 = p i ^ and p → 2 = - p i ^ , undergo a collision in free space. There is no external force acting on the balls. Let p → 1 ' and p → 2 ' be their final momenta. The following option (s) is (are) not allowed for any non-zero value of p , a 1 , a 2 , b 1 , b 2 , c 1 and c 2 .

p 1 ' → = a 1 i ^ + b 1 j ^ + c 1 k ^ , p 2 ' → = a 2 i ^ + b 2 j ^

p 1 ' → = c 1 k ^ , p 2 ' → = c 2 k ^

p 1 ' → = a 1 i ^ + b 1 j ^ + c 1 k ^ , p 2 ' → = a 2 i ^ + b 2 j ^ - c 2 k ^

p 1 ' → = a 1 i ^ + b 1 j ^ , p 2 ' → = a 2 i ^ + b 1 j ^

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A bullet is fired from a gun. The force on the bullet is given by $F = 600 - 2 \times 10^{5} t$ , where $F$ is in newton and $t$ in second. The force on the bullet becomes zero as soon as it leaves the barrel. What is the average impulse imparted to the bullet?

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Important Questions on Newton's Laws of Motion

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 6 - Newton's Laws of Motion>EXERCISE>Q 43

Consider the following two statements :

I. Linear momentum of a system of particles is zero

II. Kinetic energy of a system of particles is zero.

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 6 - Newton's Laws of Motion>EXERCISE>Q 44

Two blocks of mass $m$ and $2 m$ are connected by a light string passing over a frictionless pulley. As shown in the Fig. $7.67$ , the mass $m$ is placed on a smooth inclined plane of inclination $30 °$ and $2 m$ hangs vertically. If the system is released, the block moves with an acceleration equal to:

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 6 - Newton's Laws of Motion>EXERCISE>Q 45

A small block slides without friction down an inclined plane starting from rest. Let

S_{n}

be the distance travelled from

t = n - 1

t = n

, then

\frac{S_{n}}{S_{n + 1}}

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 6 - Newton's Laws of Motion>EXERCISE>Q 46

A piece of wire is bent in the shape of a parabola

y = k x^{2}

(

y

-axis vertical) with a bead of mass

m

on it. The bead can slide on the wire without friction. It stays at lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the

x

-axis with a constant acceleration

a

. The distance of the new equilibrium position of the bead, where the bead can stay at rest with respect to the wire, from the

y

-axis is

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 6 - Newton's Laws of Motion>EXERCISE>Q 47

Sand is being dropped on a conveyor belt at the rate of

M kg / s

. The force necessary to keep the belt moving with a constant velocity of

v m / s

will be

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 6 - Newton's Laws of Motion>EXERCISE>Q 48

Two balls having linear momenta

{\vec{p}}_{1} = p \hat{i}

and

{\vec{p}}_{2} = - p \hat{i}

, undergo a collision in free space. There is no external force acting on the balls. Let

{\vec{p}}_{1}^{'}

and

{\vec{p}}_{2}^{'}

be their final momenta. The following option (s) is (are) not allowed for any non-zero value of

p, a_{1}, a_{2}, b_{1}, b_{2}, c_{1}

and

c_{2}

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 6 - Newton's Laws of Motion>EXERCISE>Q 49

A jet engine works on the principle of

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 6 - Newton's Laws of Motion>EXERCISE>Q 50

A man throws a ball straight up. The ball has a momentum in the vertically upward direction.The principle of conservation of momentum demands that the earth has

A bullet is fired from a gun. The force on the bullet is given by F=600-2×105t, where F is in newton and t in second. The force on the bullet becomes zero as soon as it leaves the barrel. What is the average impulse imparted to the bullet?

Important Questions on Newton's Laws of Motion

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A bullet is fired from a gun. The force on the bullet is given by $F = 600 - 2 \times 10^{5} t$ , where $F$ is in newton and $t$ in second. The force on the bullet becomes zero as soon as it leaves the barrel. What is the average impulse imparted to the bullet?