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The given magnitude and direction of and , can be
expressed in terms of unit vectors, to give - .
Correct response:
- The component form of is
- The magnitude of is <u>1117.47 meters</u>
<h3>Which is the method used to find the displacement vector?</h3>
<em>The possible parameters obtained from a similar question posted online are;</em>
Magnitude of = 360 m
Direction of = 40° above the horizon
Magnitude of = 880 m
Direction of = Another 123° from
Required:
The displacement of the airplane, while the radar was tracking it, = -
Solution;
= 360 × cos(40°)· + 360 × sin(40°)·
= 880 × cos(123° + 40°)· + 880 × sin(123° + 40°)·
Which gives;
= (880 × cos(163°) - 360 × cos(40°))· + ((880 × sin(163°) - 360 × cos(40°))·
Which gives;
Therefore;
- In terms of unit vectors is, =
The magnitude of ≈ √((-1117.32)² + (-18.49)²) ≈ 1117.47
- Which gives the magnitude of the displacement, of the airplane is approximately <u>1117.47 meters</u>
Learn more about vectors here:
brainly.com/question/24855749
Power is calculated by dividing energy with time (J/s) or Watts
In this case, The energy is given by mgh where mg is the weight and h is the vertical height.
Thus, Energy = 600 × 4 = 2400 Joules
Power = Energy /time
Time will therefore be Energy/power
= 2400 J/ 200
= 12 seconds
The steel would expand by 4. 8 * 10^-3 cm
<h3>How to determine the linear expansion</h3>
The change in length ΔL is proportional to length L. It is dependent on the temperature, substance, and length.
Using the formula:
ΔL= α LΔT
where ΔL is the change in length L = 10cm
ΔT is the change in temperature = 60° - 20° = 40° C
α is the coefficient of linear expansion = 1.2 x 10^-5 °C
Substitute into the formula
ΔL =
ΔL = cm
Therefore, the steel would expand by 4. 8 * 10^-3 cm
Learn more about linear expansion here:
brainly.com/question/14325928
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