Recent questions tagged medium

A car is going at a speed of 6m/s when it encouters a 15 m slope of angle $30 ^{\circ}$. The frictional coefficient between road and tyre is 0.5. The driver applies the brakes. The minimum speed of car with which he can reach the bottom is $(g=10 m/s^2)$

asked Jul 10, 2013 by meena.p

1 answer

A box is gently dropped on a conveyor belt in an airport moving of 3m/s. If the coeffiecient of friction between belt and box is 0.5, how far will the box move on the belt (relative to belt) before coming to rest ?

asked Jul 10, 2013 by meena.p

1 answer

A smooth block is released at rest on $45 ^{\circ}$ incline and then slides a distance 'd'. The time taken to slide is 'x' times as much to slide on rough incline than on smooth incline.The coefficient of friction is

asked Jul 10, 2013 by meena.p

1 answer

A block of mass m is in contact with the cart C as shown. The coefficient of static friction between the block and cart is $\mu$. The acceleration $\alpha$ of the cart that will prevent the block from falling satisfies

asked Jul 9, 2013 by meena.p

1 answer

With what acceleration 'a' should the box in the figure descend so that a body of mass M placed in it exerts a force $Mg/4$ on the base

asked Jul 9, 2013 by meena.p

1 answer

A ball of mass 1 kg is at rest in position P by means of two light strings OP and RP. The string RP is now cut and the ball swing to position Q. If $\theta=45 ^{\circ}$ . Find the tension in the string OQ when RP is cut $(g=10 m/s^2)$

asked Jul 8, 2013 by meena.p

1 answer

If $z_1\:\:and\:\:z_2$ are two complex numbers such that $|z_1+z_2|=|z_1|+|z_2|$, then $argz_1-argz_2=?$

asked Jul 8, 2013 by rvidyagovindarajan_1

1 answer

A fireman has to carry an injured person of mass 40 kg from the top of a building with the help of the rope which can with stand a load of 100 kg. The acceleration of the fireman if his mass is 80 kg will be

asked Jul 8, 2013 by meena.p

1 answer

A disk of mass 10 gm is kept horizontaly in air by firing bullets of mass 5 g each. each at the rate of 10/s. If the bullet rebounds with which the bullets are fired is

asked Jul 8, 2013 by meena.p

1 answer

An inclined plane is inclined at an angle $\theta$ when the block placed on it is just at the point of moving down the plane. What can be the minimum acceleration with which the block can be moved up the inclined plane.

asked Jul 8, 2013 by meena.p

1 answer

The complex number $z$ is such that $|z|=1,\:z\neq1\:and\:w=\large|\frac{z-1}{z+1}|.$ Then the real part of $w$ is ?

asked Jul 5, 2013 by rvidyagovindarajan_1

1 answer

An inclined plane makes an angle $30 ^{\circ}$ with horizontal. A groove $OA=5 m$ cut on the plane makes an angle $30 ^{\circ}$ with $OX$. A short smooth cylinder is free to slide down the groove under the influence of gravity. The time taken by the cylinder to reach from A to O is $(g=10 m/s^2)$

asked Jul 5, 2013 by meena.p

1 answer

An object initially at rest explodes into three fragments. A,B and C The momentum of A is P$ \overrightarrow i $ that of B is $\sqrt 3$ P $\overrightarrow j$ where P is positive number. The momentum of C into be

asked Jul 5, 2013 by meena.p

1 answer

A $250 \;kg$ boat $4.5\;m$ long is floating with out motion on still water, with a boy of mass $50\; kg$ at one end. If he runs to the other end of the boat and stops, by how much distance the boat moves back?

asked Jul 5, 2013 by meena.p

1 answer

A car of mass $2 \times 10 ^3 kg$ is to travel over a turn of radius $0.75 km$ and slope of angle $5^{\circ}$ If coefficient of friction between wheel and road is 0.5 maximum speed the car can travel with out slipping is $(\tan 5^{\circ}=0.087)$

asked Jul 5, 2013 by meena.p

1 answer

A body of mass $4 kg$ is at rest on a horizontal table. The coefficient of friction between body and table is 0.3 . Find the acceleration of the body if a horizontal force applied on the body is 20 N

asked Jul 4, 2013 by meena.p

1 answer

Two masses of $10\; kg$ and $20\; kg$ respectively are connected by a massless spring. A pull of $100 N$ acts on the mass $20 kg$. If the instantaneous acceleration of 10 kg mass is $2 m/s^2$, what is the acceleration of $20 kg$ mass

asked Jul 4, 2013 by meena.p

1 answer

Find the value of $ \sum_{n=1}^{200}i^n$

asked Jul 4, 2013 by rvidyagovindarajan_1

1 answer

An open lift is moving upward with velocity $10 m/s$. It has an upward acceleration of $2 m/s^2$ . A ball is projected upward with velocity $20 m/s$ relative to ground. Find the time when ball meets the lift

asked Jul 3, 2013 by meena.p

1 answer

The number of complex numbers $z$ such that $|z-1|=|z+1|=|z-i|$ is ?

asked Jul 3, 2013 by rvidyagovindarajan_1

1 answer

If $\omega(\neq1)$ is a cube root of unity and $(1+\omega)^7=A+B\omega$, then $(A,B)=?$

asked Jul 3, 2013 by rvidyagovindarajan_1

1 answer

If $x^my^n=(x+y)^{m+n}$,Prove that $(ii)\;\large\frac{d^2y}{dx^2}=$$0$

asked Jul 3, 2013 by sreemathi.v

1 answer

A particle moves a distance x in time t according to equation $x=(t+5)^{-1}$ acceleration of particle is proportional to

asked Jul 3, 2013 by meena.p

1 answer

A bus is moving with a speed of $10 m/s$ on a straight road. A scooterist wishes to overtake the bus in $100 s$. If the bus is at a distance of $1 \;km$ from the scooterist with what speed should the scooterist chase the bus?

asked Jul 3, 2013 by meena.p

1 answer

For any complex number $z$ the minimum value of $|z|+|z-1|$ is ?

asked Jul 2, 2013 by rvidyagovindarajan_1

1 answer

A stone is dropped from top of a tower when it crosses a point 5 m below the top, another stone is let fall from a point 25 m below the top. Both stones reach the bottom of tower simultaneously. The height of tower is $(g=10 m/s^2)$

asked Jul 2, 2013 by meena.p

1 answer

Two diamonds begin a free fall from rest from same height $1.0 \; sec$ apart How long after will the two diamonds be 10 m apart ? $(g=10 m/s)$

asked Jul 2, 2013 by meena.p

1 answer

The number of solutions of the equation $z^2+\overline {z}=0$ is

asked Jul 2, 2013 by rvidyagovindarajan_1

1 answer

A rocket is fired vertically up from the ground with a resultant vertical acceleration of $10 m/s^2$. The fuel is finished in 1 minute. and it continuous to move up. What is the maximum height reached?

asked Jul 2, 2013 by meena.p

1 answer

A body is thrown horizontally from top of a tower and strikes the ground after three seconds at an angle $45^{\circ}$ with horizontal. Find the height of the tower and initial speed of body.

asked Jul 2, 2013 by meena.p

1 answer

An open lift is moving upward with velocity $10 m/s$. It has an upward acceleration of $2 m/s^2$ . A ball is projected upward with velocity $20 m/s$ relative to ground. What is displacement of lift and ball at a time when ball meets the lift.

asked Jul 2, 2013 by meena.p

1 answer

Velocity of a particle moving in a straight line varies with its displacement as $v=(\sqrt {4 +4s}) m/s$. Displacement of particle at time t=0 is s=0. The displacement of particle at time t=2s is

asked Jul 2, 2013 by meena.p

1 answer

The acceleration of a particle moving in a straight line varies with its displacement as $a=2s$ velocity of particle is zero at zero displacement. The corresponding velocity displacement equation is

asked Jul 2, 2013 by meena.p

1 answer

A projectile is given an initial velocity of $\hat i+2 \hat j$. The cartesian equation of its path is $(g=10 m/s^2)$. ($\hat i$ vector along horizontal $\hat j$ vector along vertically upward)

asked Jul 1, 2013 by meena.p

1 answer

A ball is dropped from the roof of a tower of height h.The total distance covered by it in the last second of its motion is equal to the distance covered by it in first three seconds.The value of h is $(g=10 m/s^2)$

asked Jul 1, 2013 by meena.p

1 answer

A point moves in $X-Y$ plane according to $X=4 \sin \;6t $ and $Y=4(1-\cos \;6t)$.The distance traversed by the particle in 4 seconds is (x and y are in meters)

asked Jun 29, 2013 by meena.p

1 answer

Two buildings are 40m apart with what velocity should a ball be thrown horizontally from a window 145 m above the ground in one building so that it will enter a window $22.5 m$ above the ground in second building? $(g=9.8 m/s^2)$

asked Jun 29, 2013 by meena.p

1 answer

Two stones are projected horizontally from top of a tower in opposite directions with velocities $u_1$ and $u_2$. The time after which their displacement vectors are perpendicular to each other is

asked Jun 28, 2013 by meena.p

1 answer

A ball $B_1$ is projected from A at a velocity u making an angle $30 ^{\circ}$with the horizontal. Another ball $B_2$ is simultaneously projected from C verically up and with velocity v.Both collide each other at their maximum heights. What is ratio $\large\frac{u}{v}$

asked Jun 28, 2013 by meena.p

1 answer

A river is flowing with speed of 1km/hr.A swimmer wants to go to point C starting from point A. He swims with a speed of 5 km/hr at an angle $\theta$with respect to the river. If $AB=BC=400m$ Then

asked Jun 28, 2013 by meena.p

1 answer

The figure gives the speed-time graph of the motion of a car. What is the ratio of the distance travelled by car during the last two seconds to total distance travelled in seven seconds

asked Jun 27, 2013 by meena.p

1 answer

The velocity of a particle is given by $v=5-t^2 m/s.$ The average acceleration of the particle between 3 and 5 seconds will be

asked Jun 27, 2013 by meena.p

1 answer

A motor boat is to reach at a point $30^{\circ}$ upstream on the otherside of river flowing with velocity $5m/s$. Velocity of motor boat with respect to water is $5 \sqrt3 m/s$ .The driver should steer the boat at an angle

asked Jun 27, 2013 by meena.p

1 answer

A particle is dropped from point A at a certain height from ground. It falls freely and passes through three points B,C and D with BC=CD.Time taken for particle to move from B to C is 2 seconds and from C to D is 1 second. Time taken to move from A to B is

asked Jun 26, 2013 by meena.p

1 answer

The velocity time (v-t) graph of a moving object is given by the following figure. The maximum acceleration is

asked Jun 25, 2013 by meena.p

1 answer

Two cars start off to race with velocities 4m/s and 2 m/s and travel in straight line with uniform acceleration $1\; m/s^2$ and $2 m/s^2$ respectively. If they reach the final point at same time, then the length of path is

asked Jun 25, 2013 by meena.p

1 answer

A particle starts from rest at $t=0$ and undergoes an acceleration 'a' in $m/s^2$ with 't' in sec as shown

asked Jun 25, 2013 by meena.p

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$v_A=(x \hat i+6 \hat j) m/s,v_B=(3 \hat i+2 \hat j) m/s$ find x such that the relative speed of A with respect to B becomes 5 m/s

asked Jun 25, 2013 by meena.p

1 answer

For a motion with constant acceleration which is/are correct?

asked Jun 25, 2013 by meena.p

1 answer

A freely falling body is found to cover $7/16 ^{th} $ of the height of fall during the last second of its motion.Find the height from which it falls $(g=10m/s^2)$

asked Jun 24, 2013 by meena.p

1 answer

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