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andriy [413]
3 years ago
8

5. The analytical method of adding vectors expressed in terms of their components may be applied to vectors in three dimensions,

for which graphical work is inconvenient. Find the magnitude of the resultant of the vectors A = i12 —j37 + k58 and B = i5 + j30 — k42, where i, j, and k are unit vectors along the x, y, and z axes, respectively
Physics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

C = 17 i^ - 7 j^ + 16 k^ ,   | C| = 24.37

Explanation:

To work the vactor component method, we add the sum in each axis

C = A + B = (Aₓ + Bₓ) i ^ + (A_{y} + B_{y}) i ^ + (A_{z} + B_{z}) k ^

Cₓ = 12+ 5 = 17

C_{y} = -37 +30 = -7

C_{z} = 58 -42 = 16

Resulting vector

C = 17 i ^ - 7j ^ + 16k ^

The mangitude of the vector is

| C | = √ c²

| C | = √( 17² + 7² + 16²)

| C| = 24.37

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5. A bus starting from rest accelerates in a straight line at a constant rate of 3m/s2 for 8s. Calculate the distance travelled
mojhsa [17]

Answer:

d = 96 meters

Explanation:

a = acceleration

t = time

d = distance

d =  \frac{1}{2}  \times a \times  {t}^{2}

d =  \frac{1}{2}  \times 3 \times  {8}^{2}

d = 96

8 0
3 years ago
For an object on a flat surface, the force of gravity is 10 newtons downward and the normal force is 10 newtons upward. The appl
bezimeni [28]
3 Newtons toward the right because Newton’s second law:
F = ma
15N - 12N = ma
3N = ma
(With the right being the positive direction and the left the negative direction)
3 0
2 years ago
The distance from home plate to the pitchers mound is 18.5 meters. For a pitcher capable of throwing at 3.85m/s(86mi/hr), how mu
Taya2010 [7]

Given that:

Distance , s = 18.5 m

Velocity , v = 3.85 m/s

Time , t =?

Since,

Velocity = distance/time

or

Time= distance/velocity

time= 18.5/ 3.85

time= 4.8 s

So the time elapse between the release of the ball and the ball passing home plate is 4.8 seconds.

7 0
3 years ago
A 2-kg object is moving 6 m/s in a horizontal direction.
german

Answer: A) O N

Explanation:

An object in motion will maintain its state of motion. The presence of an unbalanced force changes the velocity of the object.

4 0
3 years ago
Which of the following scenarios describes an object being acted on by a conservative force?
andrew11 [14]

Answer:

Option: A feather falls from one end of a tube to the other inside a vacuum.

Explanation:

To answer the question we need to first understand what is meant by Conservative Force.

In principle, Conservative forces are basically forces that are not affected by outside parameters (<em>such as friction, air resistance etc</em>). If the present force is strictly based on the initial and the final location of the object, with the inbetween path being irrelevant, the force will be conservative. A conservative force will be zero if we are looking at a closed path-system. We can also say that the system's energy loss will not be a function of the distance covered but is a function of displacement.

Looking at the available options, we can see that:

<u>Option A: A woman hikes up a mountain to a point 20 feet above ground.</u>

This is a Non Conservative force as this case does not depend just on displacement but also in  the path in between, i.e. hiking up the mountain there will be other forces that will affect the woman such as air resistance.

<u>Option B: A dishwasher was pulled up to a window by a rope, using a pulley system.</u>

This is a Non Conservative force as this case does not depend just on displacement but also in the inbetween path along with the forces present in a pulley system such as friction.

<u />

<u>Option C: A feather falls from one end of a tube to the other inside a vacuum.</u>

This is a Conservative force as here we are looking at a vacuum and its a closed system of no other forces present due to vacuum. However, we CAN'T say that ALL forces in a Vacuum Are Conservative because there are cases of dynamic steady state fields where the system is prone to other forces (i.e. open system).

<u />

<u>Option D: A puck glides across and slowly comes to a stop on an ice rink.</u>

This is a Non Conservative force as this case does not depend just on displacement but also the motion until it comes to a stop, which is possibly due to the friction between the ice rink and the puck.

<u />

7 0
3 years ago
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