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Recent questions in Motion in a Plane

Questions >> JEEMAIN and NEET >> Physics >> Class11 >> Motion in a Plane

is position vector a localized vector?

asked Apr 21, 2015 by johnsenjohnsen0

0 answers

how to represent a vector?

asked Apr 20, 2015 by johnsenjohnsen0

1 answer

Velocity and acceleration transformation: A horizontal bar rotates with the constant angular velocity ω about a vertical axis which is fixed to a table and passes through one of the ends of that bar. A small coupling moves along the bar. Its velocity relative to the bar obeys the law v' = ar where a is a constant and r is the radius vector determining the distance between the coupling and the rotation axis. Find: (1) the velocity v and the acceleration α of the coupling relative to the table and depending on r; (2) the angle between the vectors v and α in the process of motion

asked Sep 20, 2014 by vishavjeetmor

1 answer

$\begin{array}{1 1}\text{Given the following 2 statements ,which of the following choices is correct?}\\\text{Statement-1: In a uniform circular motion,the acceleration is always directed towards the centre of the circle.}\\\text{Statement-2: Otherwise the speed of the body moving along the circle will change with time}\end{array}$

asked Aug 14, 2014 by sreemathi.v

1 answer

Given the following 2 statements, which of the following choices is correct?

asked Aug 14, 2014 by sreemathi.v

1 answer

A car exhibits a constant acceleration of $0.300 m/s^2$ parallel to the roadway. The car passes over a rise in the roadway such that the top of the rise is shaped like a circle of radius $500\; m$. At the moment the car is at the top of the rise, its velocity vector is horizontal and has a magnitude of $6.00\; m/s$. What is the direction of the total acceleration vector for the car at this instant?

asked Aug 14, 2014 by sreemathi.v

1 answer

An object is moving around a circle of radius 1.5 meters at a constant velocity of 7 meters per second.The frequency of the motion,in revolutions per second,is

asked Aug 14, 2014 by sreemathi.v

1 answer

A stereo turntable has a frequency of 33 revolutions per minute.A record of radius 15.25 centimeters is placed on the turnable and begins to rotate.The velocity of a point on the edge of the record is

asked Aug 14, 2014 by sreemathi.v

1 answer

A typical carnival ferris wheel has a radius of 9.0m and rotates 4.0 times per minute.What magnitude acceleration do the riders experience?

asked Aug 14, 2014 by sreemathi.v

1 answer

In 3 seconds,an object moving around a circle sweeps out an angle of 9 radians.If the radius of the circle is 0.5 meter,the centripetal acceleration of the object is

asked Aug 14, 2014 by sreemathi.v

1 answer

Rain is falling vertically with a speed of $4ms^{-1}$.A man riding a bicycle is travelling at a speed of $3ms^{-1}$ in the north to south direction.In order to protect himself from rain,the man should hold his umbrella at an angle $\theta$ given by

asked Aug 14, 2014 by sreemathi.v

1 answer

Two persons P and Q are standing 54m apart on a long horizontal belt moving with a speed of $4ms^{-1}$ in the direction from P to Q.Person P rolls a round stone towards person Q with speed of $9ms^{-1}$ with respect to the belt.The velocity of stone with respect to an observer on a stationary platform is

asked Aug 14, 2014 by sreemathi.v

1 answer

A boat heading due north crosses a wide river with a speed of 10.0 km/h relative to the water. The water in the river has a uniform speed of 5.00 km/h due east relative to the Earth. Determine the velocity of the boat relative to an observer standing on either bank.

asked Aug 13, 2014 by sreemathi.v

1 answer

The operator of a boat wishes to cross a 5-kilometer-wide river that is flowing to the east at 10 meters per second.He wishes to reach the exact point on the opposite shore 15 minutes after starting.At what speed and in what direction should the boat travel?

asked Aug 13, 2014 by sreemathi.v

1 answer

A person is driving a car towards east at a speed of 80 km/hr. A train appears to move towards north with a velocity of $80\sqrt{3}$ km/hr to the person driving the car. Find the speed of the train as measured with respect to earth.

asked Aug 13, 2014 by sreemathi.v

1 answer

A boy is riding a cycle with a speed of $5\sqrt3$m/s towards east along a straight line.It starts raining with a speed of 15m/s in the vertical direction.What is the direction of rainfall as seen by the boy.

asked Aug 13, 2014 by sreemathi.v

1 answer

A large van has a velocity 30m/s at $20^{\large\circ}S$ of E in still air.A gust of wind of 20m/s due East relative to the Earth strikes the van.What is the resultant velocity of the van relative to the Earth,during the gust

asked Aug 13, 2014 by sreemathi.v

1 answer

The current in the river is 1.0m/s.A woman swims 300m down stream and then back to her starting point without stopping.If she can swim $2.0m/s$ is still water,determine the time required for the round trip.

asked Aug 13, 2014 by sreemathi.v

1 answer

The police are chasing a bank robber.While driving at 50m/s,they fire a bullet to shoot out a tire of his car.The police gun shoots bullets at 300m/s.What is the bullet's speed as measured by a TV camera crew parked beside the road?

asked Aug 13, 2014 by sreemathi.v

1 answer

Two bodies are projected at angles $\theta$ and $(90^{\large\circ}-\theta)$ with the horizontal at the same speed.The ratio of their maximum heights is

asked Aug 13, 2014 by sreemathi.v

1 answer

An oblique projectile has the smallest speed on its trajectory when

asked Aug 13, 2014 by sreemathi.v

1 answer

The greatest height to which a man can throw a ball is h.What is the greatest distance to which he can throw the ball?

asked Aug 13, 2014 by sreemathi.v

1 answer

Two projectiles are thrown with the same initial velocity at angles $\alpha$ and $(90^{\large\circ}-\alpha)$ with the horizontal.The maximum heights attained by them are $h_1$ and $h_2$ respectively.Then $\large\frac{h_1}{h_2}$ is equal to

asked Aug 13, 2014 by sreemathi.v

1 answer

A body is thrown with a velocity of $10ms^{-1}$ at an angle of $60^{\large\circ}$ with the horizontal.Its velocity at the highest point is

asked Aug 13, 2014 by sreemathi.v

1 answer

A projectile is thrown into space so as to have the maximum possible horizontal range =400m.Taking the point of projection as the origin,the co-ordinate of the point where the velocity of the projectile is minimum,are

asked Aug 13, 2014 by sreemathi.v

1 answer

A projectile can have the same range 'R' for two angles of projection.If $t_1$ and $t_2$ be the time of flights in the two cases,then the product of the two time of flights is proportional to

asked Aug 13, 2014 by sreemathi.v

1 answer

Two stones are projected with the same speed but making different angles with the horizontal.Their horizontal ranges are equal.The angle of projection of one is $\large\frac{\pi}{3}$ and the maximum height reached by it is 102 metre.Then the maximum height reached by the other in metre is

asked Aug 13, 2014 by sreemathi.v

1 answer

A soccer ball is kicked horizontally off a 22.0 meter high hill and lands a distance of 35.0 meters from the edge of the hill. Determine the initial horizontal velocity of the soccer ball.

asked Aug 13, 2014 by sreemathi.v

1 answer

A stone is thrown horizontally outward from the top of a bridge.The stone is released 19.6m above the street below.The initial velocity of the stone is 5.0m/s.Determine the magnitude and direction of the velocity of the projectile "just" before it strikes the street.

asked Aug 13, 2014 by sreemathi.v

1 answer

A projectile is fired with an initial speed of 113m/s at an angle of $60.0^{\large\circ}$ above the horizontal from the top of a cliff 49.0m high.Determine the total time it stays in the air,and horizontal range of the projectile.

asked Aug 13, 2014 by sreemathi.v

1 answer

A projectile is fired with an initial speed of 113m/s at an angle of $60.0^{\large\circ}$ above the horizontal from the top of a cliff 49.0m high.Determine the tome to reach maximum height,maximum height above the base of the cliff reached by the projectile.

asked Aug 13, 2014 by sreemathi.v

1 answer

Five balls A,B,C,D and E are projected with the same speed making angles of $10^{\large\circ},30^{\large\circ},45^{\large\circ},60^{\large\circ},80^{\large\circ}$ respectively,with the horizontal.Which ball will strike the ground at the farthest point?

asked Aug 13, 2014 by sreemathi.v

1 answer

A spring gun placed on a table fires a steal ball at a $45^{\large\circ}$ angle above the horizontal.The ball leaves the muzzle of the gun 1.1m above the floor and travels 4.6m horizontally.Determine the total time that the ball is in the air.

asked Aug 13, 2014 by sreemathi.v

1 answer

In a particular laboratory experiment,a spring gun placed on a table fires a steal ball horizontally outward.A student determines that the ball starts 1.0m above the floor and travels 2.7m horizontally before it strikes the floor.Determine the time that the ball is in the air and initial velocity of the ball

asked Aug 13, 2014 by sreemathi.v

1 answer

You start from a point and your first move is 5 m at an angle of 53.1$^{\circ}$. Your second move was 6 m along the x-axis and some unknown distance along the y-axis. Your third move was some unknown distance along the x-axis and -3 m along the y-axis. If you ended up at a point 5.39 m from where you started and 21.8$^{\circ}$ below the x-axis, calculate the unknown components of your second ($y_2$) and third ($x_3$) moves .

asked Aug 11, 2014 by balaji.thirumalai

1 answer

A jet plane takes off with a velocity of 300 km/s at a bearing of 60$^{\circ}$. A wind with a velocity of 80 km/s NW blows it off course. What is the resultant velocity of the jet plane (magnitude and the bearing)?

asked Aug 11, 2014 by balaji.thirumalai

1 answer

A hiker begins a trip by first walking 25 km southeast from her car. She stops and sets up her tent for the night. On the second day, she walks 40 km in a direction 60$^{\circ}$ north of east, at which point she discovers a forest ranger’s tower. Write the total displacement in unit vector form.

asked Aug 11, 2014 by balaji.thirumalai

1 answer

A car travels 20 km due north and then 35 km in a direction 60$^{\circ}$ west of north as shown below. Find the magnitude and direction of the car’s resultant displacement.

asked Aug 11, 2014 by balaji.thirumalai

1 answer

The angle between $(\overrightarrow{P}+\overrightarrow{Q})$ and $(\overrightarrow{P}+\overrightarrow{Q})$ is

asked Jul 17, 2014 by meena.p

1 answer

Three vectors $\overrightarrow{A},\overrightarrow{B} $ and $ \overrightarrow{C}$ satisfy the relation $\overrightarrow{A}.\overrightarrow{B}= 0$ and $\overrightarrow{A}.\overrightarrow{C}=0$ Vector $\overrightarrow{A}$ is parallel to

asked Jul 17, 2014 by meena.p

1 answer

The scalar product of two vector $\overrightarrow{A}$ and $\overrightarrow{B}$ is $5 \sqrt 3$ and the magnitude of their vector product is 5. The angle between the vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ is

asked Jul 16, 2014 by meena.p

1 answer

If $\overrightarrow{A}= 5 \hat i +7 \hat j - 3 \hat k$ and $\overrightarrow{B}=2\hat i +2 \hat {j} +8 \hat {k}$ the angle between $\overrightarrow{A}$ and $\overrightarrow{B}$ is

asked Jul 16, 2014 by meena.p

1 answer

If the magnitudes of vectors $\overrightarrow{A},\overrightarrow{B},\overrightarrow{C}$ are 3,4 and $\theta$ units respectively and if $\overrightarrow{A}+\overrightarrow{B}=\overrightarrow{C},$ then the angle between $\overrightarrow{A}$ and $\overrightarrow{B}$ is

asked Jul 16, 2014 by meena.p

1 answer

An aeroplane is moving on a circular path with a speed of $250 \;kmhr^{-1}$ The change in its velocity in half revolution is

asked Jul 16, 2014 by meena.p

1 answer

The angle between two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ is $\theta$ . Resultant of these two vectors is $ \overrightarrow{R}$ Which makes an angle of $\large\frac{\theta}{2}$ with $\overrightarrow{A}$. Which of the following is true?

asked Jul 16, 2014 by meena.p

1 answer

Following sets of forces act on a body. In which case the resultant cannot be zero.

asked Jul 16, 2014 by meena.p

1 answer

Two forces have magnitudes in the ratio of $3:5$ and the angle between their direction is $60^{\circ}$ . If their resultant is $35 N$ their magnitude are

asked Jul 16, 2014 by meena.p

1 answer

A man travels 1 km east , then 5 km due south , then 2 km due east and finally 9 km due north. How far is he from the starting point ?

asked Jul 16, 2014 by meena.p

1 answer

A ball slides off a horizontal table top $1.25 \;m$ hight, with a velocity of $4ms^{-1}$ Find the horizontal distance from the edge of the table at which the ball strikes the ground. $(g= 10 ms^{-2})$

asked Jul 16, 2014 by meena.p

1 answer

A ball is thrown with an initial velocity of 30 m/s at an angle of 60$^{\circ}$ above the horizontal. Find the maximum height the ball can travel to?

asked Jul 16, 2014 by meena.p

1 answer

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