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fgiga [73]
3 years ago
6

A has the magnitude 14.4 m and is angled 51.6° counterclockwise from the positive direction of the x axis of an xy coordinate sy

stem. Also, B = ( 14.3 m )i + (8.52 m )j on that same coordinate system. We now rotate the system counterclockwise about the origin by 20.0° to form an x'y' system. On this new system, what are (a)Ã and (b) B, both in unit-vector notation? (a) Number i 4.545346 It i 13.66381 Î Units m (b) Number i 10.52359 î+ i 12.89707 Units its

Physics
1 answer:
Ad libitum [116K]3 years ago
7 0

Answer:

à in unit vector notation = 12.26485i + 7.54539j

B in unit vector notation = 16.3516i + 3.11529j

Explanation:

The detailed steps and calculation is shown in the attachment.

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If the efficiency and mechanical advantage of a certain machine are given as 65 % and 3 respectively.What is the velocity ratio
Vinvika [58]

Answer:

b. 4.6 %

Explanation:

From the question,

E = M.A/V.R................ Equation 1

Where E = percentage Efficiency of the machine, M.A = machanical accurancy of the machine, V.R = Velocity ratio of the machine

Make V.R the subject of the equation

V.R = M.A/E

Given: M.A = 3, E = 65% = 0.65

Substitute this values into equation 2

V.R = 3/0.65

V.R = 4.6

Hence the right option is b. 4.6 $

8 0
3 years ago
What has happened to the amount of water in the high plains aquifer over time
xxMikexx [17]
It kinda melted I think
8 0
3 years ago
Find the angle between forces of 41 pounds and 68 pounds given a magnitude of 87 pounds for the resultant force. (Hint: Write fo
dedylja [7]

Answer:

\theta = 76.9 degree

Explanation:

As we know that the resultant of two vectors is given as

R = \sqrt{F_1^2 + F_2^2 + 2F_1 F_2 cos\theta

here we know that

R = 87 Lb

F_1 = 41 Lb

F_2 = 68 Lb

now we have

87 = \sqrt{41^2 + 68^2 + 2(41)(68)cos\theta

87^2 = 6305 + 5576 cos\theta

\theta = cos^{-1}(\frac{1264}{5576})

\theta = 76.9 degree

7 0
3 years ago
As an admirer of Thomas Young, you perform a double-slit experiment in his honor. You set your slits 1.15 mm apart and position
Artist 52 [7]

Answer:

The distance of the first bright fringe is given as  Y_C = 1.22 *10^{-3}m

The distance of the second dark fringe from the central bright fringe is given as  Y_D = 0.00192 \ m

Explanation:

From the question we are told that

     The slit separation distance is  d = 1.15 mm = \frac{1.15}{1000} =0.00115 m

      The distance of the slit from the screen is  D = 3.23 m

        The wavelength is \lambda  = 633 nm

For constructive interference to occur the distance between the two slit is mathematically represented as

            Y_C  =\frac{m \lambda D}{d}

 Where m is the order of the fringe which has a value of 1 for first bright fringe

    Substituting  values

               Y_C = \frac{1 * 633 *0^{-9} * 3.23}{0.00115}

                Y_C = 1.22 *10^{-3}m

For destructive  interference to occur the distance between the two slit is mathematically represented as

            Y_D  =  [n + \frac{1}{2} ] \frac{\lambda D}{d}

      m = 2

so the formula to get the dark fringe is n = \frac{1}{2} * 1

                                                                 n=1

 Now substituting values

                 Y_D = [ 1 + \frac{1}{2} ] * \frac{633 *10^{-9} * 3.23 }{0.00115}

                   Y_D =1.5 * \frac{633 *10^{-9} * 3.23 }{0.00115}

                        Y_D = 0.00192 \ m

4 0
3 years ago
Planet, , galaxy, universe. What is missing in the ordered sequence of the cosmos? A. Sun, B. Earth, C. Nebulae, D. Solar system
Artemon [7]
D; solar system, because the planets are inside it.
8 0
3 years ago
Read 2 more answers
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