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Why is the work done zero when the direction of displacement is perpendicular to that of force?

When a body is projected vertically up from the ground, its potential energy and kinetic energy at a point P are in the ratio 1:5. if the same body is projected up with half the previous velocity then at the same point P the ratio will be what?

If current passes through a solenoid, will two consecutive loops move towards or away from each other and why?

How to calculate the pH value of 0.0001 M #"HCl"# ?

What are the somatic nervous system, parasympathetic nervous system, sympathetic nervous system and ANS?

Cos2A1/sinA + (sin2A x cosA/cos2A+1) is equal to?

What happens when sodium or potassium are left outside in the open?

What happens when sodium or potassium are left outside in the open?

Is Hydrogen gas evolved when metals react with steam?

If the metal coefficient of cubical expansion 7.2e6 / C. What will be its coefficient of superficial expansion?

An element ‘A’ reacts with oxygen to form a protective layer of compound ‘B’. The
component ‘B’ is also obtained by the reaction of ‘A’ with rust. The compound ‘B’ is
known to react both with acids and bases. What is the element ‘A’?

There are two cups filled with equal amount of tea and coffee. A spoonful of
coffee is first transferred from coffeecup to the teacup and then a spoonful
from the teacup is transferred to the coffeecup, then?

In the reaction #2H_2S+SO_2 > 3S+2H_2O#, what has been oxidized and what is the oxidizing agent?

Do black holes really exist?

What is the difference between 'torque' and 'work'?

If #x^(x^4) = 4#, then #x^(x^2) + x^(x^8)# will be equal to what?

Solve for #x#:
#16*4^(x+2)  16*2^(x+1) + 1 = 0#?

The angle of elevation of a cliff from a fixed point #A# is #theta#. After going up a distance of #'k' m# towards the top of the cliff, at an angle of #phi#, it is found that the angle of elevation is #alpha#. Find height of cliff in terms of #k#?

If a wire of resistance #R# is melted and recast into a wire of length #2/5#th that of the original wire, what is the resistance of the new wire?

A force of magnitude #F_1# accelerates a body of mass #m# from rest to speed #v#. Another force #F_2# accelerates a body of mass #2m# from rest to a speed #2m#. What is the ratio of the work done by #F_2# to that of #F_1#?

A raft of wood of density #0.8 * 10^3 kg m^3# and mass #120kg# floats in water. How much weight should be put on the raft to make it just sink?

Two rays of light are incident normally on a tub of height #H# filled with water. They pass through glass slabs of heights #h_1# and #h_2#. If the speed of light in vacuum is #c#, what is the time difference between the rays of light to reach the bottom?

If a maximum resistance produced by two resistors is #5 Omega# and minimum resistance produced by them is #1.2 Omega#, then what is the value of the resistances?

If the quantity of metal in a metallic oxide is 60%, what is its equivalent weight?

What is the normality of #0.3 M# of #H_3PO_4#?

Three circles of radius #r# units are drawn inside an equilateral triangle of side #a# units such that each circle touches the other two circles and two sides of the triangle. What is the relation between #r# and #a#?

If #sec theta + tan theta = P#, then what is #cos theta# equal to?

#a^x = b^(1/2), b^y = c^(1/3), c^z = a^(1/2)#. What is the value of #xyz#?

Is there any country in which socratic.org has not been viewed even once?

#A# takes 6 days less than the time taken by #B# to finish a piece of work. If both #A# and #B# together can finish it in 4 days, how many days will #B# take to finish the work?

If #(a^2b^2)sintheta + 2ab costheta = a^2+b^2#, then what will the value of #sintheta# be?

If #log_12 27 = a#, then what is #log_6 16#?

What is the sum of the roots of the equation #4^x  3(2^(x+3)) + 128 = 0#?

A smaller circle touches a larger circle internally and passes through the center #O# of the larger circle. If the area of the smaller circle is #200 cm^2#, what is the area of the larger circle in #cm^2#?

The geometric mean of two numbers is 8 and their harmonic mean is 6.4. What are the numbers?

A lady reaches her office 20 mins late by travelling at a speed of 20 km/h and reaches 15 mins early by travelling at a speed of 30 km/h. By how much time(early or late) will she reach her office if she travels at 25 km/h?

The letters #R, M, O# represent whole numbers. If #RxxMxxO=240, RxxO+M=46, R+MxxO=64#, then what is the value of #R+M+O#?

Let #S_n = n^2 + 20n + 12, n# is a positive integer. What is the sum of all the possible values of #n# for which #S_n# is a perfect square?

Suppose that #4^(x_1) = 5, 5^(x_2) = 6, 6^(x_3) = 7,...., 126^(x_123) = 127, 127^(x_124) = 128#. What is the value of the product #x_1x_2...x_124#?

What is the difference of usage between 'centre' and 'center'?

Why do we see questions that nobody has asked?

What is the difference between #xx# and #*#?

If the #p^(th), q^(th) and r^(th)# terms of an arithmetic progression are #P, Q, R# respectively, then #P(qr) + Q(rp) + R(pq)# is equal to?

If #tan^2theta = 1  a^2#, then #sectheta + tan^3thetacsctheta = (2  a^2)^n#. What is the value of #n#?

A man repays a loan of $3250 by paying $20 in the first month and then increases the payment by $15 every month. How long will it take him to clear the loan?

Please explain geometric and harmonic progressions?

Is there a formula for the area of a regular polygon of side #a# having #n# sides?

Can we make diagrams for an answer or is it necessary to upload a picture?

The radii of two concentric circles are 16 cm and 10 cm. #AB# is a diameter of the bigger circle. #BD# is tangent to the smaller circle touching it at #D#. What is the length of #AD#?

In an arithmetic progression, #S_m = n# and #S_n = m#. Also, #m>n#. What is the sum of the first #(m  n)# terms?

Why can other people see thank you notes we have sent on our profile page under 'Activity'?

How do we find the apothem of a regular polygon?

How can Xenon and Krypton form compounds with Fluorine if they are inert gases?

How did you get to know about Socratic?

Question on work done by #x# machines in some days?

The sum of all the terms common to the arithmetic progressions 1, 3, 5, ....., 1991 and 1, 6, 11, ......., 1991, is?
(1) 199100 (2) 199200 (3) 199300 (4) 200196

What is so special about water at #4^@ C#?

The resistances in the following figure are in ohm. Then the
effective resistance between the points A and B is?
(A) 2#Omega# (B) 3 #Omega#
(C) 6#Omega# (D) 36 #Omega#

The perimeter of a triangle is 7 cm. What is its greatest possible area?

What is the maximum possible value of #k# for which 2013 can be written as a sum of #k# consecutive positive integers?

Consider the sequence 1, 3, 3, 3, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, ... What is its 2016th term?

The five digit number #2a9b1# is a perfect square. What is the value of #a^(b1)+b^(a1)#?

Please explain the law of reciprocal proportion with an example?

Why can't we simply type questions in the Android app, and why can't we answer other questions like on the website?

The sum of the series #1/(1*2)  1/(2*3) + 1/(3*4)  ....# upto infinity is equal to?

#e^[(x1)  1/2 (x1)^2 + (x1)^3 /3 (x1)^4 /4 + ....]# is equal to?

Is Link Owl part of the Socratic team?

If the equation of projection is #y=axbx^2#, find initial velocity(#u#) and angle of projection(#theta#)?

Why is it necessary to add a question mark in your question? Some problems require a full stop instead of a question mark.

How do 1st, 2nd and 3rd ionisation energies compare in metals, nonmetals and noble gases?

How is it determined if a question is 'trending'?

If positive numbers #a^1, b^1, c^1# are in AP, then the product of the roots of the equation #x^2kx+2b^101a^101c^101=0#, (#k# is real) is greater than 0, less than 0 or equal to 0?

What is the value of #lim_(x>0) (1cos(mx))/(xsinx)#?

What is the differentation of #1/x#?

How many arrangements can be made with the letters of the word 'MATHEMATIC'? In how many of them will vowels be together?