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Which of the following statements are true for a moving body?

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Important Questions on Mathematical Tools in Physics

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-3>Q 13

A vector

\overset{⇀}{A}

of length

10

units makes an angle of

60 °

with a vector

\vec{B}

of length

6

units. If the angle which

\vec{A} - \vec{B}

makes with

\vec{A}

\tan^{- 1} (\frac{3 \sqrt{a}}{b})

, then the value of

(\frac{a + b}{2})

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-3>Q 14

3

boys are pulling a heavy trolley by means of

3

ropes. The boy in the middle is exerting a pull of

100 N

. The other

2

boys, whose ropes both make an angle of

30 °

with the centre rope, are pulling with forces of

50 \sqrt{3} N

and

100 \sqrt{3} N

. Consider all the forces in the same plane. The magnitude of the resultant pull on the trolley is:

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-3>Q 15

A radius vector of point A relative to the origin varies with time

t

\vec{r} = at \hat{i} - b t^{2} \hat{j}

where

a

and

b

are constants. If the equation of point's t as trajectory is

y = \frac{- b}{a^{q}} x^{p}

, then value of

p + q

is:

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-3>Q 16

A room has dimension

3 m \times 4 m \times 5 m

. A fly starting at one corner ends up at diametrically opposite corner. The magnitude of its displacement is:

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-3>Q 17

A room has dimensions

3 m \times 4 m \times 5 m

. A fly starting at one corner ends up ta diametrically opposite corner. If the fly does not fly but walks, then the length of the shortest path it can take is:

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-3>Q 18

Vector

\vec{a}

has components

a_{x} = 3, a_{y} = 4

. If the components of a vector

\vec{c}

which is perpendicular to

\vec{a}

and has a magnitude of

5

units, are

c_{x}

and

c_{y}

, then

|c_{x}| + |c_{y}|

is:

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-3>Q 19

A car travels due east on a level road for

30 km

. It then turns due north at an intersection and travels

40 km

before stopping. The resultant displacement of the car is:

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-3>Q 20

The kinetic energy of a particle of mass

200 g

moving the velocity

3 \hat{i} - 5 \hat{j} + 4 \hat{k} {ms}^{- 1}

is:

Which of the following statements are true for a moving body?

Important Questions on Mathematical Tools in Physics

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