Answer:
Incomplete question check attachment for complete question
Also it is given that
q1=-0.7uC
q4=-1.7uC
q3=-1.7uC
Also the distance are given as
a=2.2cm=0.022m
d2=3.6cm=0.036m
Explanation:
The potential energy due to point R is given as
The potential energy due to charge q1 and q3 plus the potential energy due to charge q4 and q1 plus the potential energy due to charge q3 and q4
So, let take it one after the other
Potential energy is give as
P.E=kq1q2/r
Therefore,
Potential energy due to charge q1 and q3
U¹³=kq1q3/r
To get the distance between charge q1 and q3, we will apply Pythagoras theorem
r=√(d2²+a²)
r=√(0.036²+0.022²)
r=0.0422m
k is a constant =9×10^9Nm²/C²
Then,
U¹³=kq1q3/r
U¹³=9×10^9×0.7×10^-6×1.7×10^-6/0.0422
U¹³=0.254J
Potential energy due to charge q1 and q4
U¹⁴=kq1q4/r
To get the distance between charge q1 and q4, we will apply Pythagoras theorem
r=√(d2²+a²)
r=√(0.036²+0.022²)
r=0.0422m
k is a constant =9×10^9Nm²/C²
Then,
U¹⁴=kq1q4/r
U¹⁴=9×10^9×0.7×10^-6×1.7×10^-6/0.0422
U¹⁴=0.254J
Potential energy due to charge q3 and q4
U³⁴=kq3q4/r
r=2a=2×0.022=0.044m
k is a constant =9×10^9Nm²/C²
Then,
U³⁴=kq3q4/r
U³⁴=9×10^9×1.7×10^-6×1.7×10^-6/0.044
U¹⁴=0.591J
Then, the total energy is
U= U¹³+ U¹⁴ + U³⁴
U=0.254+0.254+0.591
U=1.099J
Then also, the potential energy is zero because at infinity both U¹³ and U¹⁴ will have infinite potential because their distance apart will be infinite.
Answer: 81.619 kJ
Explanation:
Given
Mass of roller coaster is
It reaches the steepest hill with speed of
Hill to bottom is 51 m long with inclination of
Height of the hill is
Conserving energy to get kinetic energy at bottom
Energy at top=Energy at bottom
Answer:
The object will travel 675 m during that time.
Explanation:
A body moves with constant acceleration motion or uniformly accelerated rectilinear motion (u.a.r.m) when the path is a straight line, but the velocity is not necessarily constant because there is an acceleration.
In other words, a body performs a u.a.r.m when its path is a straight line and its acceleration is constant. This implies that the speed increases or decreases uniformly.
In this case, the position is calculated using the expression:
x = xo + vo*t + ½*a*t²
where:
In this case:
Replacing:
x= 0 + 0*15 s + ½*6 *(15s)²
Solving:
x=½*6 *(15s)²
x=½*6 *225 s²
x= 675 m
<u><em> The object will travel 675 m during that time.</em></u>
Frequency, f, is how many cycles of an oscillation occur per second and is measured in cycles per second or hertz (Hz). The period of a wave, T, is the amount of time it takes a wave to vibrate one full cycle. These two terms are inversely proportional to each other: f = 1/T and T = 1/f.
Hope It Helps!
Answer:
9654.34 m
Explanation:
from conservation of momentum
And from Conservation of Energy