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Georgia [21]
3 years ago
6

Consider the three dip1acement vectors A = (3i - 3j) m, B = (i-4j) m, and C = (-2i + 5j) m. Use the component method to determin

e (a) the magnitude and direction of the vector + + and (b) the magnitude and direction of E=-A - B + C.
Physics
1 answer:
tia_tia [17]3 years ago
4 0

Answer with Explanation:

We are given that

A=3i-3j m

B=i-4 j m

C=-2i+5j m

a.D=A+B+C

D=3i-3j+i-4j-2i+5j

D=2i-2j

Compare with the vector r=xi+yj

We get x=2 and y=-2

Magnitude=\mid D\mid=\sqrt{x^2+y^2}=\sqrt{(2)^2+(-2)^2}=2\sqrt 2 units

By using the formula \mid r\mid=\sqrt{x^2+y^2}

Direction:\theta=tan^{-1}\frac{y}{x}

By using the formula

Direction of D:\theta=tan^{-1}(\frac{-2}{2})=tan^{-1}(-1)=tan^{-1}(-tan45^{\circ})=-45^{\circ}

b.E=-A-B+C

E=-3i+3j-i+4j-2i+5j

E=-6i+12j

\mid E\mid=\sqrt{(-6)^2+(12)^2}=13.4units

Direction of E=\theta=tan^{-1}(\frac{12}{-6}=tan^{-1}(-2)=-63.4^{\circ}

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2 years ago
Why is centrifugal force is a fake force?<br>​
mash [69]

Answer:

We say fictitious because the actual source of the centrifugal acceleration is somewhat indirect and the experience one has results from the unbalanced forces acting on the reference frame, not a force. Note, it is an acceleration not a force. For instance, imagine yourself on a swing.

5 0
2 years ago
For what angle of incidence at the first mirror will this ray strike the midpoint of the second mirror (which is 28.0 cmcm long)
loris [4]

This question is incomplete, the complete question is;

Two plane mirrors intersect at right angles. A laser beam strikes the first of them at a point 11.5 cm from their point of intersection, as shown in the figure.

For what angle of incidence at the first mirror will this ray strike the midpoint of the second mirror (which is 28.0 cmcm long) after reflecting from the first mirror

Answer: angle of incidence is 39.4°

Explanation:

Given that;

two plain mirrors intersect at right angle (90°)

distance d = 11.5 cm

S = 28.0 cm

Now the angle that the reflection ray males with first the mirror equal theta  (∅)

so

tan∅ = (S/2) / d

tan∅ = (28/2) / 11.5

tan∅ = 14 / 11.5

tan∅ = 1.2173

∅ = tan⁻¹ (1.2173)

∅ = 50.6°

so angle of incidence = 90° - ∅

= 90° - 50.6°

= 39.4°

Therefore angle of incidence is 39.4°

5 0
3 years ago
3. The smallest bird is the Cuban bee hummingbird, which has a mass of only
Firlakuza [10]

Answer:

2.6 m

Explanation:

The work done by the bird is given by

W=Fd

where

F is the force exerted

d is the distance covered

In this problem, we know:

W=8.8\cdot 10^{-4} J is the work

F=3.4\cdot 10^{-4} N is the force

Solving the equation for d, we find the distance covered by the bird:

d=\frac{W}{F}=\frac{8.8\cdot 10^{-4}}{3.4\cdot 10^{-4}}=2.6 m

8 0
3 years ago
A proposed space elevator would consist of a cable stretching from the earth's surface to a satellite, orbiting far in space, th
Valentin [98]

Answer:

The escape speed for the craft is 1.49 m/s.

Explanation:

In this case we need to find the escape speed for a craft launched from a space elevator at a height of 56,000 km. The escape velocity is given by :

v=\sqrt{\dfrac{2GM}{d}}

Here,

G is universal gravitational constant

M is mass of earth

d = r + h, r is radius of Earth

v=\sqrt{\dfrac{2\times 6.67\times 10^{-11}\times 5.972 \times 10^{24}}{(6,371 \times 10^3\times 56000\times 10^3)}}\\\\v=1.49\ m/s

So, the escape speed for the craft is 1.49 m/s.

0 0
3 years ago
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