Recent questions tagged ch6

A sphere of mass m moving with velocity v enters, a hanging bag of sand and stops. If the mass of bag is M and it is raised by height h, then the velocity of sphere was

asked Jul 17, 2013 by meena.p

1 answer

A chain of mass M is placed on a smooth table with $\large\frac{1}{n}$$^{th}$ of its length L hanging over the edge. The work done in pulling the hanging portion of chain back to the surface of table is

asked Jul 17, 2013 by meena.p

1 answer

An object of mass 1 kg travelling at 5.0 m/s enters a region of ice where the coefficient of kinetic friction is .10. Find the distance the object travels before coming to rest.

asked Jul 17, 2013 by meena.p

1 answer

A ball is dropped from a height of h from ground. If the coefficient of restitution is e, the height to which the ball goes up after it rebounds for the nth time is

asked Jul 17, 2013 by meena.p

2 answers

A spring with a spring force constant $k=800\; N/m$ has a length of 5 cm. The work done in extending from 5 cm to 15 cm is

asked Jul 17, 2013 by meena.p

1 answer

A 50kg man with 20kg load on his head climbs up 20 steps of 0.25m height each. The work done in climbing is

asked Jul 17, 2013 by meena.p

1 answer

There will be an increase in potential energy of the system if work is done upon the system by

asked Jul 17, 2013 by meena.p

1 answer

A block of weight $W$ is pulled along a distance $d$ on a table. The work done by the weight is

asked Jul 17, 2013 by meena.p

1 answer

A block of mass 5 kg is being raised vertically upward by the help of a string attached to it. It rises with an acceleration of $2m/s^2$. The block rises by 2.5 m .the work done by tension and work done against gravity are respectively

asked Jul 17, 2013 by meena.p

1 answer

A force of 0.5 N acts on body of mass 5 kg initially at rest for one minute. Find the work done by the force.

asked Jul 17, 2013 by meena.p

1 answer

Displacement of a body of mass 2 kg varies with time as $s=t^2+2t$.Where s in meters t in seconds. The work done by the force acting an body during the time t=2s to t=4s is

asked Jul 17, 2013 by meena.p

1 answer

A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time 't' is proportional to

asked Jul 16, 2013 by meena.p

1 answer

Work done by force $F=(-6x^3\hat i)\;N$ in displaying particle from $x=4m$ to $x=-2m$ is

asked Jul 16, 2013 by meena.p

1 answer

Force acting on a particle is $(2i+3j)N$ . Work done by the force is zero, when the particle is moved on the line $3y+kx =5$ value of k is

asked Jul 16, 2013 by meena.p

1 answer

Work done by the conservative force on a system is equal to

asked Jul 16, 2013 by meena.p

1 answer

Find the equation of the tangent line to the curve $y = x^2 - 2x +7$ which is $(b)\; perpendicular\; to\; the\; line\; 5y-15x=13$

asked Jul 11, 2013 by sreemathi.v

1 answer

Find the equations of the tangent and normal to the given curves at the indicated points: $ (v) \: x = \cos t,y=\sin t\; at \;(t=\large\frac{\pi}{4})$

asked Jul 11, 2013 by sreemathi.v

1 answer

Find the equations of the tangent and normal to the given curves at the indicated points: $ (iv) \: y = x^2\; at \;(0, 0)$

asked Jul 11, 2013 by sreemathi.v

1 answer

Find the equations of the tangent and normal to the given curves at the indicated points: $ (iii) \: y = x^3\; at \;(1, 1)$

asked Jul 11, 2013 by sreemathi.v

1 answer

Find the equations of the tangent and normal to the given curves at the indicated points: $ (ii) \: y = x^4 - 6x^3 + 13x^2 - 10x + 5\; at \;(1, 3)$

asked Jul 11, 2013 by sreemathi.v

1 answer

Find points on the curve$ \large\frac{x^2}{9} + \frac{y^2}{16} = 1$ at which the tangents are $(ii)\; parallel\; to\; y - axis$

asked Jul 11, 2013 by sreemathi.v

1 answer

Find the intervals in which the following functions are strictly increasing or decreasing: $(e) \;(x+1)^3(x-3)^3$

asked Jul 9, 2013 by sreemathi.v

1 answer

Find the intervals in which the following functions are strictly increasing or decreasing: $(d) \;6-9x-x^2$

asked Jul 9, 2013 by sreemathi.v

1 answer

Find the intervals in which the following functions are strictly increasing or decreasing: $(c) \;-2x^3-9x^2-12x+1$

asked Jul 9, 2013 by sreemathi.v

1 answer

Find the intervals in which the following functions are strictly increasing or decreasing: $(b) \;10-6x-2x^2$

asked Jul 9, 2013 by sreemathi.v

1 answer

The length $x$ of a rectangle is decreasing at the rate of 5 cm/minute and the width y is increasing at the rate of 4 cm/minute. When $x = 8$ cm and $y = 6$ cm, find the rates of change of (b) the area of the triangle.

asked Jul 5, 2013 by sreemathi.v

1 answer

Find the rate of change of the area of a circle with respect to its radius r when $(b)\; r = 4 cm$

asked Jul 5, 2013 by sreemathi.v

1 answer

Using Euler's theorem prove the following: if$\;V=x^{ax+by}$ and $\;z$ is a homogenous function of degree $\;n$ in $\;x$ and $\;y$ prove that $\;x=\large\frac{\partial v}{\partial x}$+$y\large\frac{\partial v}{\partial y}$=$(ax+by+n)V.$

asked Apr 26, 2013 by poojasapani_1

0 answers

Using Euler's theorem prove the following: if $u$ is a homogenous function of $x$ and $y$ of degree$\;n$, prove that$\;x\large\frac{\partial^{2} u}{\partial x^{2}}$+$y\large\frac{\partial^{2}u}{\partial x\partial y}$=$(n-1)\large\frac{\partial u}{\partial x}$

asked Apr 26, 2013 by poojasapani_1

0 answers

Using Euler's theorem prove the following: $\;u=xy^{2}\sin\large(\frac{x}{y}),$ show that $x\large\frac{\partial u}{\partial x}+$$y=\large\frac{\partial u}{\partial y}=$$3u.$

asked Apr 26, 2013 by poojasapani_1

1 answer

Using Euler's theorem prove the following: if$\;u=\tan^{-1}\large[\frac{x^{3}+y^{3}}{x-y}]$ prove that $x\large\frac{\partial u}{\partial x}$+$y\large\frac{\partial u}{\partial y}=$$\sin 2u$

asked Apr 26, 2013 by poojasapani_1

1 answer

Find $\large\frac{\partial w}{\partial u}$ and $\large\frac{\partial w}{\partial v}$ if $\;w=\sin^{-1}xy$ where $x=u+v,y=u-v$

asked Apr 26, 2013 by poojasapani_1

1 answer

Find $\large\frac{\partial w}{\partial u}$ and $\large\frac{\partial w}{\partial v}$ if$\;w=x^{2}+y^{2}$ where $x=u^{2}-v^{2},y=2uv$

asked Apr 26, 2013 by poojasapani_1

1 answer