Answer:
Explanation:
λ(x) = λo x/ L
(a) The total charge is Q.




λo = 2Q/L
(b)
Let at a distance x from the origin the charge is dq.
so, dq = (2Q/L) x/ L dx

The potential due to this small charge at a distance d to the left of origin






Answer:
1m/s [E]
Explanation:
So for displacement, its saying she went 3000m east and 2000m west. Since these two are in different directions, you would change the sign of one of them to change the direction;
3000m [E] + 2000m [W] = d
3000m [E] - 2000m [E] = d
1000m [E] = d
And its saying the time is 1000 seconds, so using velocity formula:
v = d/t
v=1000m[E] / 1000s
v = 1 m/s [E]
Answer:
Equilibrium quantity = 5
Equilibrium price = 40
Explanation:
given:
p = -x²-3x+80
p = 7x+5
For the equilibrium quantity the price from both the functions will be equal
thus, we have
-x² - 3x + 80 = 7x+5
⇒ x² +3x + 7x + 5 - 80 = 0
⇒x² + 10x - 75 = 0
now solving for x
x²- 5x + 15x -75 = 0
x(x-5) + 15(x-5) = 0
therefore, the two roots of the equation are
x = 5 and x = -15
since the quantity cannot be in negative
therefore, the equilibrium quantity will be = 5
now the equilibrium price can be found out by substituting the equilibrium quantity in any of the equation
thus,
p = -(5)² -3(5) + 80 = 40
or
p = 7(5) + 5 = 40
Answer:
102 m upwards.
Explanation:
Just from a qualitative analysis we can tell the mass it needs to go upwards. How much we determine with the fact that the increase will be - in absolute value - equal to the work gravity does on it to go down that same distance.
Fixed that work being 1 kJ, we get
