Vector A has a magnitude of 63 units and points west, while vector B has the same magnitude and points due south. Find the magnitude and direction of a) A + B and b) A - B. Specify the directions relative due west.
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Given :
Vector A has a magnitude of 63 units and points west, while vector B has the same magnitude and points due south.
To Find :
The magnitude and direction of
a) A + B .
b) A - B.
Solution :
Let , direction in north is given by +j and east is given by +i .
So , and
Now , A + B is given by :
Direction of A+B is 45° north of west .
Also , for A-B :
Direction of A-B is 45° south of west .
( When two vector of same magnitude which are perpendicular to each other are added or subtracted the resultant is always 45° from each of them)
Hence , this is the required solution .
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Express the density numerically in grams per cubic centimeter.
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There are forces are acting on the block: 1. Fs = upward force from scale (up = + Fs) 2. W = downward weight force (down = - W) 3. Fb = upward buoyancy force (up = + Fb)
Since the block is at rest, (net force = 0), the force equation is:
Fs + Fb - W = 0 ~(eq1)
Substituting Fs, Fb and W into ~(eq1): ==> {m (on scale) x g} + {ρ x V x g} - (m (block) x g} = 0
Dividing both sides of equation by g: m (on scale) + (ρ x V) - m (block) = 0 ~(eq2)
Given: V = volume of water displaced = 40% volume of the block = 0.40 x V (block)
Substituting 0.40 x V (block) into ~(eq2): m (on scale) + (ρ x 0.40 x V (block)) - m (block) = 0 ~(eq3) where, m (on scale) = 5.6 g ρ = density of water at 20ºC = 0.99821 g/cm^3 m (block) = 50 g
Substituting m (on scale), ρ and m (block) into ~(eq3): 5.6 g + (0.99821 g/cm^3 x 0.40 x V (block)) - 50 g = 0 ~(eq4)
Simplifying ~(eq4) and solving for V (block): ==> 5.6 g + 0.399284 g/cm^3 x V (block) - 50 g = 0 ==> 0.399284 g/cm^3 x V (block) - 44.4 g = 0 ==> 0.399284 g/cm^3 x V (block) = 44.4 g ==> V (block) = 44.4 g / (0.399284 g/cm^3) ==> V (block) = 111.199 cm^3
ρ (block) = density of block = m (block) / V (block) = 50 g / 111.199 cm^3 = 0.449644 g / cm^3
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The positive influence of scientific knowledge can help to develop the society while the negative influence of scientific knowledge can harm the society through pollution.
Positive influence of scientific knowledge
The positive influence of scientific knowledge includes the followings;
- Discovery of cure to diseases
- Construction of roads
- Generation of electricity, etc
Negative influences of scientific knowledge
The negative influence of scientific knowledge includes the followings;
- Pollution of the environment
- Deforestation, etc
Learn more about scientific knowledge here: brainly.com/question/1729104
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Answer:
The negative influences that scientific knowledge can have on a society is deforestation, pollution, animal suffering (in animal testing), biological weapons, and genetically altered foods.
Explanation:
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Answer:
E = h ν = h c / λ energy of photon
E = 6.62E-34 * 3.00E8 / 8.00E-7
E = 6.62 * 3.00 / 8.00 * e^-19 J
=2.5E-19 J
True