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Anettt [7]
3 years ago
6

A rock is thrown upward from level ground in such a way that the maximumheight of its flight is equal to its horizontal rangeR.

a) At what angleθis therock thrown? b) In terms of its original rangeR, what is the rangeRmaxtherock can attain if it is launched at the same speed but at the optimal anglefor maximum range? c) Would your answer to part a) be different if the rockis thrown with the same speed on a different planet? Explain.
Physics
1 answer:
Snowcat [4.5K]3 years ago
5 0
A) The vertical component of velocity v is taking the rock to a height

Vertical component = vsin\theta
The time taken to reach maximum height = \frac{vsin\theta}{g}
So total time of rocks flight = \frac{2vsin\theta}{g}
Range of rock is due to the horizontal component of velocity = vcos\theta
Range = \frac{2*v*sin\theta*v*cos\theta}{g} = \frac{2*v^2*sin\theta*cos\theta}{g}
Maximum height = \frac{g*t^2}{2} = \frac{v^2*sin^2\theta}{2*g}
Since range = maximum height
We have \frac{2*v^2sin\theta*cos\theta}{g} = \frac{v^2*sin^2\theta}{2*g}
tan\theta = 4
\theta = 75.96^0
So when angle of projection is \theta = 75.96^0 range is equal to maximum height reached.
b) We have range = \frac{2*v^2*sin\theta*cos\theta}{g} =\frac{2*v^2*sin2\theta}{g}
Maximum of range is reached when \theta = 45^0
Maximum range = \frac{2*v^2}{g}
c) For range to be equal to maximum height only condition is tan\theta = 4, it does not depend upon acceleration due to gravity and velocity. That angle is a constant.
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Particle q₁ has a charge of 2.7 μC and a velocity of 773 m/s. If it experiences a magnetic force of 5.75 × 10⁻³ N, what is the s
Ne4ueva [31]
The intensity of the magnetic force F experienced by a charge q moving with speed v in a magnetic field of intensity B is equal to
F=qvB \sin \theta
where \theta is the angle between the directions of v and B.

1) Re-arranging the previous formula, we can calculate the value of the magnetic field intensity. The charge is q=2.7 \mu C=2.7 \cdot 10^{-6}C. In this case, v and B are perpendicular, so \theta=90^{\circ}, therefore we have:
B= \frac{F}{qv \sin \theta} = \frac{5.75 \cdot 10^{-3}N}{(2.7 \cdot 10^{-6}C)(773m/s)\sin 90^{\circ}}=2.8 T

2) In this second case, the angle between v and B is \theta=55^{\circ}. The charge is now q=42.0 \mu C=42.0 \cdot 10^{-6}C, and the magnetic field is the one we found in the previous part, B=2.8 T, so we can find the intensity of the force experienced by this second charge:
F=qvB \sin \theta=(42\cdot 10^{-6}C)(1.21 \cdot 10^3 m/s)(2.8 T)(\sin 55^{\circ})=0.12 N
5 0
3 years ago
Read 2 more answers
Chinese public buildings erected under a construction code of the Sung dynasty have withstood earthquakes well because the white
luda_lava [24]

Answer:

A: used has four times the tensile strength of steel and the timber frame, incorporating

Explanation:

Option A is correct because it conveys the correct message intended by the statement and has no grammatical errors.

Option B is wrong because to say "has four times the tensile strength of steel has" is just grammatically and idiomatically wrong as has is used twice in the sentence.  

Option C is wrong because the statement that has to do with the flexibility of the timber's frame is more like a separate fact and does not fall under the scope of trying to further explain a fact.

Option D is wrong because it has the same problem in Option C. The comma that is placed after "steel" breaks the sentence and hence does not provide a good understanding of why the building can withstand earthquakes.

Option E is grammatically wrong for using does in the sentence "has four times the tensile strength steel does"

8 0
3 years ago
A child throws a baseball upward with an initial velocity of 20 m/s. The child wants to throw the baseball at least as high as t
Umnica [9.8K]
When the ball starts its motion from the ground, its potential energy is zero, so all its mechanical energy is kinetic energy of the motion:
E= \frac{1}{2}mv^2
where m is the ball's mass and v its initial velocity, 20 m/s.

When the ball reaches its maximum height, h, its velocity is zero, so its mechanical energy is just gravitational potential energy:
E=mgh

for the law of conservation of energy, the initial mechanical energy must be equal to the final mechanical energy, so we have
\frac{1}{2}mv^2 = mgh
From which we find the maximum height of the ball:
h= \frac{v^2}{2g}= \frac{(20 m/s)^2}{2 \cdot 9.81 m/s^2}=20.4 m

Therefore, the answer is yes, the ball will reach the top of the tree.

5 0
3 years ago
Which of the following does NOT support the geologic evidence used to date the earth?
Zanzabum

Answer:

comparing the anatomy of organisms

Explanation:

Basically, Rocks are the solid evidence used to date the earth.

Due to the changing in the genetic make up of organisms,the anatomy of organisms is not a reliable evidence to date the earth.

4 0
3 years ago
2. wnich meaning of a word refers to exactly what it is?
kondaur [170]

Answer:

2) Denotative meaning of a word or Denotation.

3) Connotative meaning of a word or Connotation.

4) Ethics and Culture.

Explanation:

2) Which meaning of a word refers to exactly what it is?

The denotative meaning of a word represents the explicit or the exact meaning of that word. Also called the denotation of the word.

3) Which meaning of a word includes what the word may represent?

The Connotative meaningof a word means something suggested or implied by a word. Also called the Connotation of the word.

4) What is the term used for society's tried and true rules that guide life?

Ethics refer to the rules and standards that guide the conduct of individuals; especially members of a societal body.

Culture is the total way of life of a society.

Hence, ethics amd culture both serve as the society's tried and tested rules that guide life.

Hope this Helps!!!

7 0
3 years ago
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