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The relation between time $t$ and distance $x$ for a moving body is given as $t = m x^{2} + n x$ , where $m$ and $n$ are constants. The retardation of the motion is: (When $v$ stands for velocity)

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Questions featured in Previous Year Papers on Mechanics

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JEE Main Physics Express>Chapter -1 - Mechanics>Exercise>Q 33

The boxes of masses $2 kg$ and $8 kg$ are connected by a massless string passing over smooth pulleys. Calculate the time taken by box of mass $8 kg$ to strike the ground starting from rest. $(g = 10 m s^{- 2})$

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JEE Main Physics Express>Chapter -1 - Mechanics>Exercise>Q 8

A player kicks a football with an initial speed of

25 {m s}^{- 1}

at an angle of

45 °

from the ground. What are the maximum height and the time taken by the football to reach at the highest point during motion? (Take

g = 10 {m s}^{- 2}

)

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JEE Main Physics Express>Chapter -1 - Mechanics>Exercise>Q 34

A block moving horizontally on a smooth surface with a speed of

40 {m s}^{- 1}

splits into two equal parts. If one of the parts moves at

60 {m s}^{- 1}

in the same direction, then the fractional change in the kinetic energy will be

x : 4

where

x =

________.

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JEE Main Physics Express>Chapter -1 - Mechanics>Exercise>Q 35

A block moving horizontally on a smooth surface with a speed of

40 m s^{- 1}

splits into two parts with masses in the ratio of

1 : 2 .

If the smaller part moves at

60 m s^{- 1}

in the same direction, then the fractional change in kinetic energy is :

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JEE Main Physics Express>Chapter -1 - Mechanics>Exercise>Q 97

Four identical hollow cylindrical columns of mild steel support a big structure of mass

50 \times 10^{3} kg .

The inner and outer radii of each column are

50 cm

and

100 cm

respectively. Assuming uniform local distribution, calculate the compression strain of each column.
[use

Y = 2.0 \times 10^{11} Pa, g = 9.8 m s^{- 2}

]

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JEE Main Physics Express>Chapter -1 - Mechanics>Exercise>Q 7

If the velocity of a body related to displacement

x

is given by

v = \sqrt{5000 + 24 x} m s^{- 1},

then the acceleration of the body is _________

m s^{- 2} .

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JEE Main Physics Express>Chapter -1 - Mechanics>Exercise>Q 6

The resultant of these forces $\vec{O P}, \vec{O Q}, \vec{O R}, \vec{O S}$ and $\vec{O T}$ is approximately ______ $N .$
[Take $\sqrt{3} = 1.7, \sqrt{2} = 1.4$ Given $\hat{i}$ and $\hat{j}$ unit vectors along $x, y$ axis]

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JEE Main Physics Express>Chapter -1 - Mechanics>Exercise>Q 32

The coefficient of static friction between two blocks is $0.5$ and the table is smooth. The maximum horizontal force that can be applied to move the blocks together is _______ $N$ (take $g = 10 {m s}^{- 2})$

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The relation between time t and distance x for a moving body is given as t=mx2+nx, where m and n are constants. The retardation of the motion is: (When v stands for velocity)

Questions featured in Previous Year Papers on Mechanics

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The relation between time $t$ and distance $x$ for a moving body is given as $t = m x^{2} + n x$ , where $m$ and $n$ are constants. The retardation of the motion is: (When $v$ stands for velocity)