Answer:
The answer is E) 6.7m at an angle 63° north of east
Explanation:
We begin by writing out our given vectors A,B and C in their respective rectangular Cartesian coordinate form. which are given as A=8i, B=6j and C= -5j (negative because it points towards west which is towards the left which is taken as the negative direction).Now we simply add all three to obtain our final vector given by,

In the last step we just added the like components. Now we will have to calculate the magnitude and angle of V(with respect of the east direction), which is given by,

the angle alpha is always calculated with respect to the horizontal positive axis, and since both components of the vector are positive the vector lies in the first quadrant. Hence the 63° angle north of east is justified. The term north of east means the angle formed in moving from east towards the north that is from the positive horizontal axis to the positive vertical axis.
Answer:

Explanation:
<u>Gravitational Potential Energy</u>
It's the capacity of an object to do work due to its relative height from a fixed reference point.
It's computed as
GPE=m.g.h
Where m is the mass of the object, h is its height and g is the acceleration of gravity, 
The mass of water is given as

The height above the rocks is h=50 m. Let's compute the GPE


It should be expressed in scientific notation

The GPE at the bottom, where h=0

The change of gravitational potential energy is:


Answer:
30 m/s
Explanation:
Velocity is
since we know that the initial velocity is 0, and the acceleration is
then we also know that time is 3 seconds it follows that: 
Answer:
a)48300 times
b)P = 821100 kg · m/s
Explanation:
Given that
m = 48300 kg
v= 23 m/s
We know that linear momentum (P) given as
P = m v
P = 48300 x 23 kg · m/s
So we can say that truck momentum is 48300 times its velocity.
Now given that
v= 17 m/s
P = m v
P = 48300 x 17 kg · m/s
P = 821100 kg · m/s
Answer:
D
Explanation:
Scientists use significant figures to avoid claiming more accuracy in a calculation than they actually know.