we assume the acceleration is constant. we choose the initial and final points 1.40s apart, bracketing the slowing-down process. then we have a straightforward problem about a particle under constant acceleration. the initial velocity is v xi =632mi/h=632mi/h( 1mi 1609m )( 3600s 1h )=282m/s (a) taking v xf =v xi +a x t with v xf =0 a x = t v xf −v xf = 1.40s 0−282m/s =−202m/s 2 this has a magnitude of approximately 20g (b) similarly x f −x i = 2 1 (v xi +v xf )t= 2 1 (282m/s+0)(1.40s)=198m
Explanation:
The forces acting on the rock include Normal Force, Gravitational force & Friction force
It's possible for it to stay on the boulder because the normal force balances it's weight. also because static friction acts on the boulder up to it's limiting friction even if it were on an attempt to move as a result of air resistance. gravitational forces act upon it by mainly affecting it it's weight. as altitude increases, it's weight decreases since gravity varies from a height to another.
Because the net force must be zero, we conclude that the magnitude of the force is 1500 newtons, and the direction is in the positive axis.
<h3>
What is the magnitude and direction of the third force?</h3>
By Newton's laws, we know that if the net force applied to an object is different than zero, then the object is accelerated.
In this case, we know that the object moves with constant velocity, so there is no acceleration, meaning that the net force is equal to zero.
Then we must have:
F1 + F2 + F3 = 0N
Replacing F1 and F2 we get:
-3000 N + 1500N + F3 = 0
F3 = 3000N - 1500 N = 1500N
Then the magnitude of the force is 1500 newtons, and the direction is in the positive axis.
If you want to learn more about Newton's laws, you can read:
brainly.com/question/10454047
Answer:
t = 47 years
Explanation:
To find the number of years in which the electrons cross the complete transmission, you first calculate the drift velocity of the electrons in the transmission line, by using the following formula:
(1)
I: current = 1,010A
A: cross sectional area of the transmission line = π(d/2)^2
d: diameter of the transmission line = 2.00cm = 0.02 m
n: free charge density = 8.50*10^28 electrons/m^3
q: electron's charge = 1.6*10^-19 C
You replace the values of all parameters in the equation (1):

with this value of the drift velocity you can calculate the time that electrons take in crossing the complete transmission line:

Finally, you convert this value of the time to years:

hence, the electrons take around 47 years to cross the complete transmission line.