Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>EXERCISE>Q 43

EASY

JEE Main/Advance

IMPORTANT

Earn 100

When a particle moves at constant speed $v$ in a circle (or a circular arc) of radius $r,$ the acceleration of the particle is directed (i)_ the centre of the circle and has a constant magnitude (ii)_.

(i) towards / away from
(ii) $v^{2} r / \frac{v^{2}}{r} .$

Important Questions on Motion in a Plane

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>EXERCISE>Q 44

An object moves in a circular path with a constant speed in the xy plane. With the centre at the origin. When the object is at

x = - 2 m,

its velocity is

- (4 m / s) \hat{j} .

Then objects velocity at

y = 2 m

is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>EXERCISE>Q 45

An object moves in a circular path with a constant speed in the xy plane. With the centre of origin. When its velocity is

- (4 m / s) \hat{j}

.find objects acceleration when it is at

y = 2 m

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 4

Given that

0.4 \hat{i} + 0.8 \hat{j} + b \hat{k}

is unit vector. What is the value of

b ?

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 5

The position vector of particle changes from

10 m

east to

10 m

north in one second. What is the average velocity of the particle?

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 6

Two forces each numerically equal to $10$ dynes are acting as shown in the following figure, then the resultant is

Question Image

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 7

A person moves

30 m

North, then

20 m

east, then

30 \sqrt{2} m

south west, his displacement is

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 8

The position co-ordinates of an object are given by

x = 2 t^{2}, y = t^{2} - 4 t, z = 3 t - 5 .

The average velocity of the particle during the interval

0 - 1 s

is

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 3 - Motion in a Plane>Assignment>Q 9

If two vectors

\vec{a}

and

\vec{b}

be such that

| \vec{a} + \vec{b} | = | \vec{a} - \vec{b} |,

then the angle between them is