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We assume the existence of a uniform electric field E= 500 i N/C without specifying which charges are the source. To this field is added that of a point charge of 2 uc located at the origin. What is the resultant electric force acting on a charge of 5 uc located at the point (3m,4m)?
The answer is (4.66i + 2.88j)x10^-3 N but I'm not sure how they got it?
There is a point charge Q1 at x= 0 and a charge Q2 at x=d. What is the relationship between these charges if the resulting electric field is zero at the following points: a) x= d/2 b) x= 2d c) x= -d/2?
"The smallest bone in the human body, which is in the ear, has a mass of 0.0030 g. what is the mass of this bone in pounds?"
Define the term corn economy
The demand and supply equations for a product are: Qd = 300 – 6P and Qs = -40 + 6P. • Determine the market equilibrium and draw graphs. • Suppose that the government decides to impose a flat tax of 10% on each unit sold. Show that the price that consumers pay would be the same if the government imposed a tax of Rs. 1.70 per unit sold. Draw graphs and explain. • Also calculate the total revenue earned by sellers before and after the tax, the tax revenue raised by the government, changes in consumer and producers surplus and dead weight loss.
A 1.5 kilogram projectile launched at some angle leaves the ground with kinetic energy totally 250 joules at the highest height, its kinetic energy is 105 joules. To what vertical height did the projectile rise?
Construct the truth table of (p \land \lnot q) \lor \lnot (q \land r) \lor (r \land p)
Use truth tables to prove that (p \land \lnot q) \lor \lnot (q \land r) \lor (r \land p) \iff p \lor \lnot q \lor \lnot r
Given two integers M, N as input. Write a program to print all the composite numbers present in the given range (including M and N)
Input:
2
9
Let ( u1,u2,...un) be an orthogonal basis for a subspace W of R^n and let T:R^n-->R^n be defined by T(x)=proj W(x). Show that T is linear transformation.
Show that T(x1,x2, x3,x4)= 3x1 -7x2+5x4 is liner transformation by finding the matrix for transformation. Then find a basis for the null space of the transformation
#339914 on Dec 2023