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VashaNatasha [74]
3 years ago
9

Which equation describes the sum of the vectors plotted below?

Physics
1 answer:
alexira [117]3 years ago
4 0

Answer:

<em>Answer: A.</em> \vec r = 4\hat x+2\hat y

Explanation:

<u>Sum of Vectors</u>

The vectors plotted in the graph are arranged using the head-to-tail method, i.e. placing the tail of the second vector at the head of the first vector. The head of the second vector indicates the sum of both vectors.

From the graph, we can see the head of the second vector lies in the point of coordinates (4,2).

This vector is represented as:

\vec r = 4\hat x+2\hat y

Answer: A. \mathbf{\vec r = 4\hat x+2\hat y}

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A balloonist drops his camera from a height of 100 m while his balloon is ascending at 5 m/s. How
ExtremeBDS [4]
20 i think is the answer
6 0
3 years ago
A model rocket rises with constant acceleration to a height of 4.2 m, at which point its speed is 27.0 m/s. How much time does i
geniusboy [140]

Answers:

a) t=0.311 s

b) a=86.847 m/s^{2}

c) y=1.736 m

d) V=17.369 m/s

Explanation:

For this situation we will use the following equations:

y=y_{o}+V_{o}t+\frac{1}{2}at^{2} (1)  

V=V_{o} + at (2)  

Where:  

y is the <u>height of the model rocket at a given time</u>

y_{o}=0 is the i<u>nitial height </u>of the model rocket

V_{o}=0 is the<u> initial velocity</u> of the model rocket since it started from rest

V is the <u>velocity of the rocket at a given height and time</u>

t is the <u>time</u> it takes to the model rocket to reach a certain height

a is the <u>constant acceleration</u> due gravity and the rocket's thrust

<h2>a) Time it takes for the rocket to reach the height=4.2 m</h2>

The average velocity of a body moving at a constant acceleration is:

V=\frac{V_{1}+V_{2}}{2} (3)

For this rocket is:

V=\frac{27 m/s}{2}=13.5 m/s (4)

Time is determined by:

t=\frac{y}{V} (5)

t=\frac{4.2 m}{13.5 m/s} (6)

Hence:

t=0.311 s (7)

<h2>b) Magnitude of the rocket's acceleration</h2>

Using equation (1), with initial height and velocity equal to zero:

y=\frac{1}{2}at^{2} (8)  

We will use y=4.2 m :

4.2 m=\frac{1}{2}a(0.311)^{2} (9)  

Finding a:

a=86.847 m/s^{2} (10)  

<h2>c) Height of the rocket 0.20 s after launch</h2>

Using again y=\frac{1}{2}at^{2} but for t=0.2 s:

y=\frac{1}{2}(86.847 m/s^{2})(0.2 s)^{2} (11)

y=1.736 m (12)

<h2>d) Speed of the rocket 0.20 s after launch</h2>

We will use equation (2) remembering the rocket startted from rest:

V= at (13)  

V= (86.847 m/s^{2})(0.2 s) (14)  

Finally:

V=17.369 m/s (15)  

5 0
3 years ago
I’m struggling... please help
Phantasy [73]

Answer:

M. A change that causes the gene to increase the amount of lactase ir produces will increase a person's ability to break down lactose

Explanation:

Lactose is a sugar found in dairy products. Humans require an enzyme, called lactase, to break down the sugar in the body. This enzyme is produced by the lactase gene.

Some people have some variation in their gene that means they do not produce very much lactase. This means they do not produce sufficient amount of the enzyme to break down the sugar lactose found in milk. This causes them to feel ill and get abdominal pain when they eat dairy, because their body can't break down the sugar.

Therefore, a change in the gene that causes it to produce more lactase will make people more able to consume lactase. A change that decreases the amount of lactase enzyme will have the opposite effect.

The source of protein and minerals found in dairy are not processed by lactase, so R is not correct.

4 0
4 years ago
Which is developed during the process of technological design?
lbvjy [14]

Answer: SOLUTION

Explanation: A technological design is often adopted when there is a need to solve or find solution to a certain or identified problem. The technological design process is often required in other to develop technologically driven products which is capable of providing solution to a perceived problem. The steps involved includes;

Identifying the problem at hand, carrying out further and thorough research on them, proferring possible solutions out of which the best possible approach is selected. Then the solution is modeled, the model is tested and refinements are made depending on outcome of the test. Testing will have to be repeated upon refinement of the model before the final outcut is communicated.

7 0
4 years ago
Read 2 more answers
A flat circular plate of copper has a radius of 0.262 m and a mass of 61.5 kg.
Evgesh-ka [11]

Answer:

0.031 m

Explanation:

Density of copper = ρ =  8960 kg/m³

r = Radius = 0.262 m

m = Mass of plate = 61.5 kg

v = Volume of plate = Volume of cylinder = πr²h

\rho=\frac{m}{v}\\\Rightarrow 8940=\frac{61.5}{\pi r^2h}\\\Rightarrow h=\frac{61.5}{\pi 0.262^2\times 8940}\\\Rightarrow h=0.031\ m

So, thickness of plate is 0.031 m

5 0
3 years ago
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