The addition of vectors involve both magnitude and direction. In this case, we make use of a triangle to visualize the problem. The length of two sides were given while the measure of the angle between the two sides can be derived. We then assign variables for each of the given quantities.
Let:
b = length of one side = 8 m
c = length of one side = 6 m
A = angle between b and c = 90°-25° = 75°
We then use the cosine law to find the length of the unknown side. The cosine law results to the formula: a^2 = b^2 + c^2 -2*b*c*cos(A). Substituting the values, we then have: a = sqrt[(8)^2 + (6)^2 -2(8)(6)cos(75°)]. Finally, we have a = 8.6691 m.
Next, we make use of the sine law to get the angle, B, which is opposite to the side B. The sine law results to the formula: sin(A)/a = sin(B)/b and consequently, sin(75)/8.6691 = sin(B)/8. We then get B = 63.0464°. However, the direction of the resultant vector is given by the angle Θ which is Θ = 90° - 63.0464° = 26.9536°.
In summary, the resultant vector has a magnitude of 8.6691 m and it makes an angle equal to 26.9536° with the x-axis.
The correct answer is
<span>"chemical bonds within the glucose molecules "
The chemical bonds of the glucose molecules contain chemical energy, and when these bonds are broken by the processes acting inside the body, the energy of the bonds is released and it can be used by the body.
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Answer:
The correct answer is "4.26 m".
Explanation:
Given:
Wavelength,
or,
Distance,
or,
Distance between the 1st and 2nd dark fringes,
As we know,
⇒
or,
⇒
By substituting the values, we get
Answer:
primary advantage of composite material are high strength, low weight, corrosion resistance
Explanation:
The primary advantage of composite material is
1) high strength - they are stronger in strength than commanly used material like steel and aluminium.
2)low weight - lighter than most of the material like woods and others metals
3) corrosion resistance - it resist extreme condition of weather and can be good place where handling of chemicals takes place.
Change the 8 pounds to kilograms (divide it by 2.2). Then multiply the kg by the speed of light (300,000,000 m/sec) squared. You get a very big number. It's the number of joules of energy equivalent to 8 lbs of mass.