Answer:
c
Explanation:
Answer:
c
Explanation:
what is the twisted ladder shape of the DNA called?
Answer:
Double helix
Explanation:
The Double helix is a DNA molecule. The two strands around the Double Helix is called the twisted ladder.
Answer:
double helix
Explanation:
The stopping distances associated with slower speeds approximate the forward visibilities provided by low beam lights. However, the illumination provided by low beam lights, about 150 feet, does not provide enough visibility in high speed driving situations where stopping distances are two or more times longer than the illumination distance provided by low beam lights. a. True b. False
Answer:
a. True
Explanation:
Illumination distance is the distance, up to which the light of the vehicle can reach. Hence, it is a maximum distance from the, that driver can see.
Stopping distance is the minimum distance required by the car to stop after brakes are applied.
So, in order to avoid any accident the illumination distance must be greater than the stopping distance. So, the driver can stop the vehicle in time, when he sees something in front of it.
Since, the stopping distance in this case is two or three times longer than illumination distance. Therefore, low beam light does not provide enough visibility in high speed driving situations.
Hence, the correct option is:
a. True
6.3 Calculate the current that flows through the element of a heater when the potential difference is 250V and the resistance of the element is 150.
Answer:
16.66
Explanation:
Which is a benefit of using synthetic polymers, such as nylon?
Synthetic polymers are lightweight.
O Synthetic polymers are produced in small
quantities.
Synthetic polymers are biodegradable.
Synthetic polymers are inexpensive to recycle.
Answer: Synthetic polymers are lightweight.
Explanation:
A benefit of using synthetic polymers is the fact that synthetic polymers are lightweight.
A polymer is a molecule composed of many repeating subunits.
Synthetic polymers are artificial polymers created by humans.
Most of the synthetic polymers are not biodegradable (unlike natural fibers such as cotton).
Synthetic polymers are classified according to their use into plastics, elastomers and synthetic fibers.
The advantages of synthetic polymers include: hard to break, being lightweight, and they last for a long time.
In conclusion, a benefit of using synthetic polymers is the fact that synthetic polymers are lightweight.
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why does liquid candle wax flow but solid candle wax does not?
Answer:
Because the matter in solid objects doesn't move
Explanation:
Logic
describe tension force (FT) in your own words
Answer In the field of physics, tension is called the force that is exerted by the action of a cable, rope, chain or other similar solid object. ... Since tension is a magnitude of force, it is measured in newtons and is always measured in a direction parallel to the chord on which it is applied.
Explanation:
The reason people commit informal fallacies is simple and straightforward.
Answer:
Explanation:
contents
1. FAILURES OF ARGUMENT:
Inconsistency,
Begging the Question,
Disappearing Hedge,
Non Sequitur
2. Non Sequitur FALLACIES OF RELEVANCE
3. Non Sequitur FALLACIES OF WEAK INDUCTION
4. Non Sequitur FALLACIES OF PRESUMPTION
5. Non Sequitur FALLACIES OF AMBIGUITY, VAGUENESS, etc.
6. Nasty persuasive rhetoric, a.k.a. SOPHISTRIES
7. OTHER FALLACIES
A frog is riding on the top of a cylindrical piece of wood floating in still water. Half of the wood, with a diameter of 4 cm and length 20 cm, is immersed in water. The density of water is 1 gm/cc. a) What is the mass of the wood along with the frog? b) After the frog slowly goes into the water only one third of the wood remains immersed in water. Calculate the mass of the frog. c) Calculate x, the distance between the water level and the center of the circular end of the wooden piece. d) Briefly describe the motion of the wood after the instance the frog moves into the water. Give a rough sketch of x as a function of time.
The total mass of the wood along with the frog is 120π gm.
The mass of the frog is (160/3)π gm.
How to calculate the MassThe volume of the wood that is immersed in water is given by the volume of a cylinder with a radius of 2 cm and a height of 10 cm, which is V1 = π(2cm)²(10cm) = 40π cm³. The mass of the water displaced by this volume of wood is m1 = V1ρ = 40π gm. The mass of the remaining part of the wood above water is m2 = ρV2 = ρ(π(2cm)²(10cm)) = 80π gm.
mTherefore, the total mass of the wood along with the frog is m1 + m2 = 120π gm.
b) After the frog goes into the water, the volume of the wood that is immersed decreases to V3 = (1/3)π(2cm)^2(20cm) = (80/3)π cm^3. The mass of the water displaced by this volume of wood is m3 = V3ρ = (80/3)π gm. Therefore, the mass of the frog is (m1 + m2) - m3 = (120π - (80/3)π) gm = (240/3)π - (80/3)π = (160/3)π gm.
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WHAT IS THE MEAING OF- Grouping Data
Grouping data refers to the process of categorizing or organizing data based on specific criteria or attributes.
It involves grouping similar data points together to gain a better understanding of patterns, relationships, and trends within the dataset. By grouping data, you can simplify complex information and derive meaningful insights from large amounts of data. The purpose of grouping data is to create subsets or clusters that share common characteristics.
This enables easier analysis, summarization, and comparison of data within each group. Grouping can be performed on various types of data, such as numerical, categorical, or time-based data. Grouping data allows for the exploration of data at different levels of granularity.
For example, you can group sales data by region to analyze regional performance, or group customer data by demographics to identify specific customer segments. This process helps in identifying outliers, detecting patterns, and making data-driven decisions.
Common techniques for grouping data include using functions like GROUP BY in SQL or utilizing data visualization tools to create charts or graphs that illustrate the grouped data. Grouping can be applied in various fields, such as marketing, finance, healthcare, and research, to uncover insights and support decision-making processes.
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A diver jumps from a 3.0 m board with an initial upward velocity of 5.5 m/s. What is the time the diver was in the air?
The answer is that the time the diver was in the air is 1.13 seconds.
To determine the time the diver was in the air, we can use the kinematic equation:
Δy = viΔt + 1/2at²,
where Δy is the displacement, vi is the initial velocity, a is the acceleration due to gravity (g), and t is the time.The initial velocity, vi, is given as 5.5 m/s, and since the diver jumps upwards, the displacement, Δy, is equal to the height of the board, which is 3.0 m. The acceleration due to gravity, a, is -9.8 m/s² (negative because it acts downwards).Substituting the known values into the equation:3.0
m = (5.5 m/s)t + 1/2(-9.8 m/s²)t²
Simplifying, we get:
4.9t² + 5.5t - 3.0 = 0
We can solve for t using the quadratic formula:
t = (-5.5 ± √(5.5² - 4(4.9)(-3.0))) / (2(4.9))= (-5.5 ± 1.59) / 9.8= -0.47 s or 1.13 s
Since time cannot be negative, the time the diver was in the air is 1.13 seconds.
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A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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a uniform ladder of weight 200 N and length 10 m leans against a perfectly smooth wall at an angle of 50 degrees. A firefighter of weight 600 N climbs a distance x up the ladder. The coefficient of static friction between the ladder and the floor is 0.50. What is the maximum value of x for which the ladder will not slip?
The maximum value of x, the distance the firefighter can climb up the ladder without it slipping, is 5.14 m.
The maximum value of x for which the ladder will not slip is 5.14 m. Here’s how to find it: Let F be the force exerted by the wall on the ladder and Wl and Wf be the weights of the ladder and the firefighter, respectively. Taking moments about the foot of the ladder gives F × 10 cos 50 - Wf x = 0. . . (1)where x is the distance that the firefighter has climbed up the ladder.Using the fact that the ladder is not slipping, we get F = 0.5 (Wl + Wf)g cos 50. . . (2)where g is the acceleration due to gravity.Substituting (2) into (1) and rearranging for x gives x = 5.14 m (to two decimal places).Summary: A uniform ladder of weight 200 N and length 10 m leans against a perfectly smooth wall at an angle of 50 degrees. A firefighter of weight 600 N climbs a distance x up the ladder. The coefficient of static friction between the ladder and the floor is 0.50. The maximum value of x for which the ladder will not slip is 5.14 m.For more questions on firefighters
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Which of the following is not among the uses of dimensional analysis? (a) determination of the Numerical constant (b) to convert one system of unit to another (c) to change the units of derived quantities (d) to test the correctness of an equation
To convert one system of unit to another of derived quantities is not a use of dimensional analysis.
What is dimensional analysis?Checking for consistency in the dimensions on both sides of an equation entails looking at the dimensions of the physical quantities involved in a problem, such as length, mass, time, electric charge, and temperature.
The core tenet of dimensional analysis is that physical quantities, such as length, mass, and time, may be described in terms of their basic dimensions.
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All of the options listed are included in the uses of dimensional analysis.
What is dimensional analysis?Dimensional analysis is a powerful tool used in physics to:
check the correctness of equations derive new equationsconvert units from one system to anotherdetermine numerical constants that relate physical quantities.The dimensional analysis involves analyzing the dimensions of physical quantities and using them to establish relationships between them.
By using the principles of dimensional analysis, we can simplify complex physical problems and gain insights into the behavior of physical systems.
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1 question I still have about Baroque music
Answer:
yes
Explanation:
yesim guessing that yes u still have
Answer:
Baroque Music:
Baroque music is another way to refer to Western classical music composed between approximately 1600 and 1750. Some of the most famous Baroque music composers included Bach, Handel, and Vivaldi.
pa follow at pa brainlest answer na den
ayuden ha resolver este ejercicio porfa
Answer:
un café y a seguir pensando porque no se la respuesta xd
Please help I don’t know how to do this
Answer:
3.176 hoursExplanation:
given:
distance = 270 km
speed = 85 km/h
find:
how long does it take to get into his audition in hours?
solution:
velocity = distance / time
85 km/h = 270 km
t
85 (t) = 270
t = 270 / 85
t = 3.176 hours
Stephan has to drive 8 miles south and 3 miles east to get to work.
What is his displacement?
What is his distance?
The distance and displacement of Stephan are 11 miles and 8.54 miles respectively.
Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively.
To get to work, Stephan must travel 3 miles east and 8 miles south.
Therefore, the total distance traveled by Stephan will be:
d = 3 miles + 8 miles
d = 11 miles
The displacement is the shortest distance between the starting point and the endpoint.
If Stephan first travels South and then east, the turn will make a 90-degree angle between the two distances.
Therefore, by using the Pythagoras theorem the displacement is:
D² = 3² + 8²
D² = 9 + 64
D² = 73
D = √73
D = 8.54 miles
Stephan's displacement and distance are 11 miles and 8.54 miles respectively.
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Three cylindrical wires, 1, 2, and 3 are made of the same materialand have resistances R1, R2, and R3, respectively. Wires 1 and 2 have the same lengthbut diameter of wire 2 is twice that of wire 1. Wires 2 and 3 have the same diameterbut length of wire 3is twice that of wire 2.
1. Rank the wires according to their resistances, greatest first.
A. R1> R2> R3R1
B. R1> R3> R2R2
C. R2> R1> R3R3
D. R2> R3> R1
E. R3> R1> R2
F. R3> R2> R1Q2.
2. If same voltage is applied across each of the wires, which one will dissipate heat at the highest rate
Answer:
1) R₁ > R₃ > R₂ correct B , 2) the wire that dissipates the most is wire 2
Explanation:
1) The resistance of a wire is given by the expression
R = \(\rho \ \frac{l}{A}\)
where ρ is the resistivity of the material, l the length of the wire and A the area of the wire
The area is given by
A = π r² = π d² / 4
we substitute
R = (ρ 4 /π) \(\frac{l}{d^2}\)
the amount in parentheses is constant for this case
let's analyze the situation presented, to find the resistance of each wire
* indicate l₁ = l₂ and d₂ = 2 d₁
the resistance of wire 1 is
R₁ = (ρ 4 /π) \(\frac{l_1}{d_1^2}\)
the resistance of wire 2 is
R₂ = (ρ 4 /π) \frac{l_2}{d_2^2}
R₂ = (ρ 4 /π) \(\frac{l_1}{ (2 d_1)^2}\)
R₂ = (ρ 4 /π ) \(\frac{l_1}{d_1^2}\) ¼
R₂ = ¼ R₁
* indicate that d₂ = d₃ and l₃ = 2 l₂
R2 = (ρ 4 /π) \(\frac{l_2}{d_2^2}\)
the resistance of wire 3 is substituting the indicated condition
R3 = (ρ 4 /π 2) \frac{l_3}{d_3^2}
R3 = (ρ 4 /π) \(\frac{2 \ l_2}{d_2}\)
R3 = 2 R₂
let's write the relations obtained
R₁ = (ρ 4 /π) \(\frac{I_1}{ d_1^2}\)
R₂ = ¼ R₁
R₃ = 2 R₂
let's write everything as a function of R1
R₁ =(ρ 4 /π) \(\frac{l_1}{d_1^2}\)
R₂ = ¼ R₁
R₃ = ½ R₁
the resistance of the wire in decreasing order is
R₁ > R₃ > R₂
2) The power dissipated by a wire is
P = V I
the voltage is
V = I R
I = V / R
substituting
P = V² / R
therefore the power dissipated by each wire is
wire 1
P₁ = V² / R₁
wire 2
P₂ = V² / R₂
P₂ = \(\frac{V^2}{ \frac{1}{4} R_1}\)
P₂ = 4 P₁
wire 3
P₃ = V² / R₃
P₃ = \(\frac{V^2}{ \frac{1}{2} R_1}\)
P₃ = 2 P₁
Therefore, the wire that dissipates the most is wire 2
Does anyone understand this?
A cannon is recovered from a shipwreck. Why does the buoyant force on the cannon stay the same as long as it is fully under water? Explain your reasoning. (3 points)
The buoyant force on the cannon stays the same as long as it is fully under water because the buoyant force is determined by the volume of fluid that the cannon displaces and not by the weight or mass of the cannon itself.
Archimedes' Principle states that the buoyant force on an object in a fluid is equal to the weight of the fluid that the object displaces. This means that as long as the cannon remains fully submerged in the water and does not change its volume, the amount of water it displaces and thus the buoyant force on the cannon will also remain the same.
In other words, the buoyant force is dependent on the fluid's density and the volume of the object, not its weight. So, as long as the volume of the cannon and the density of the fluid surrounding it remain constant, the buoyant force will also stay constant.
The buoyant force on the cannon will stay the same as long as it is fully under water.
The buoyant force on an object is equal to the weight of the fluid displaced by the object. The buoyant force is always directed upwards, and it opposes the force of gravity. As long as the cannon is fully under water, the amount of water displaced by the cannon will stay the same. This means that the buoyant force on the cannon will also stay the same.
The buoyant force on an object depends on the density of the fluid, the volume of the object, and the acceleration due to gravity. The density of water is constant, so the buoyant force on the cannon will only change if the volume of the cannon changes or if the acceleration due to gravity changes.
Neither of these factors change. The volume of the cannon does not change as it is being recovered from the shipwreck. The acceleration due to gravity also does not change, as it is the same on Earth's surface as it is underwater.
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1. Is it possible for the ball to move so quickly that the angle between the cable and vertical post stays at ninety degrees?
2. When the ball is moving in a horizontal circle, what vertical force (or component) balances gravity?
3. What happens to the centripetal force as the length of the cord increases?
Answer:
Tetherball is an interesting game in which two players tries to hit the ball hard so that it goes around the
pole.Each time the player hits the ball, it's orbit rises higher off the ground.Let's understand the physics
behind this.The motion of a tetherball is governed by two forces.These two forces combine to generate a
net force, i.e. centripetal force.If the ball is moving more quickly, it requires a greater centripetal force,
which in turn requires a greater tension force.Since the ball's weight hasn't changed, the angle of the
tension force changes until the ball is in vertical equilibrium.
To access this physics simulation visit: http://goo.gl/xVdwgO Page 02Exploration Series www.ck12.org
Ball Mass : This slider controls the mass of the ball. A ball with more mass will have more inertia, requiring
a greater net force to accelerate it. A ball with more mass will ALSO have a greater gravitational force
acting on it. Watch both of these effects occur when you manipulate this slider.
Cable Length : This slider controls the length of the cable. A longer cable is capable of allowing a greater
circular radius of motion for the ball. It is important to remember that the radius of the circular motion is
NOT equal to the length of the cable. Instead, if you want to understand the size of the circle of the ball's
motion, ignore the cable and just imagine the path of the ball.
Ball Speed : This slider controls the speed of the ball - imagine a kid just hit the ball and it sped up. A ball
moving more quickly is also accelerating more quickly because its velocity is changing as it moves in a
circle (remember that changes in DIRECTION of velocity 'count' as changes to velocity).
Force Diagram : This allows you to turn on or off the diagram of the forces acting on the ball. Look for the
ball to be in vertical force balance, which means the vertical component of tension is canceled by the
gravitational force. The ball should NOT be in horizontal force balance - it is accelerating towards the center
of the circle! It is important to note that this free body diagram should really be moving with the ball so that
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the tension force always points along the cord - we are just showing the forces at the moment the ball is at
the furthest-right on this screen.
Centripetal force vs Tetherball speed : This is a plot of centripetal force required to keep the ball in
circular orbit about the pole as a function of its speed. As expected, a more quickly-moving ball is changing
in velocity more often in a given amount of time, and so is accelerating more. This greater (centripetal, or
center-pointing) acceleration requires a greater net force.
Explanation:
1m of air initially at 110kn/m^2 and 15°c, is compressed according to the law if pv^1.3=constant in a cylinder to final pressure of 1.4mn/m^2, taking R for air = 287j/kgk and cp=1005j/kgk, determine
the volume and temperature of the air at the end of the compression
the work done in compressing the air
the change of internal energy
the heart exchange through the cylinder walls stating the direction of heat flow.
\($\begin{aligned} (a) &=1 m^{3} \\ V_{1} &=110 \times 10^{3} \mathrm{~Pa} \\ T_{1} &=15+273=288 \mathrm{~K} \end{aligned}$\)
\($c_{p}=1005 \frac{\mathrm{J}}{\mathrm{kg} K}$\)
\($P_{2}=1400 \times 10^{3} \mathrm{~Pa}$\)
\((i)$$P_{1} V_{1}^{1 / 3}=P_{2} V_{2}^{1 / 3}$$\)
\($\Rightarrow \quad\left(\frac{110}{1400}\right)=\left(\frac{V_{2}}{1}\right)^{\$ 1 \cdot 3} \Rightarrow V_{2}=A \cdot 85 \times 10^{4} / \ln ^{3}$\)
\($\Rightarrow \quad V_{2}=0.1413 \mathrm{~m}^{3}$\)
\($T_{2}=T_{1}\left(\frac{p_{2}}{p_{1}}\right)^{\frac{1 \cdot 3 \cdot 1}{1 \cdot 3}}=$\) \($288\left(\frac{1400}{110}\right)^{\frac{1 \cdot 3-1}{1 \cdot 3}}=518 \mathrm{~K}$\)
\((ii) $W=\frac{P_{1} v_{1}-P_{2} V_{2}}{n-1}=\frac{\left(110 \times 10^{3} \times 1\right)-\left(1400 \times 10^{3}\right)(0.1413)}{1.3-1}$\)
\($\Rightarrow W=-292.73 \mathrm{~kJ}$\)
\((iii) $\quad \Delta U=m C_{V} \Delta T$\)
\($=\frac{p_{1} V_{1}}{p_{1}}\left( R-C_{p}\right) \times\left(T_{2}-T_{1}\right)$\)
\($=\frac{110 \times 10^{3} \times 1(-287+1005)(518-288)}{287 \times 288}$\)
\($\Delta U=219.77 \mathrm{~kJ}$\)
\((iv)$$Q-W=\Delta U$$\)
\($\Rightarrow Q-(-292.73)=219.7 7$\)
\($\Rightarrow Q=-72.96 \mathrm{~kJ}$\)
\($\rightarrow$\) Heat is flowing form surrounding
(b) Since, Tempererature is contant So, change in Internal energy \($\Rightarrow \Delta U=m C_{v} \Delta T^{\circ} \Rightarrow \Delta U=0$\)
What is Internal energy ?
Internal energy, which emerges from the molecular state of motion of matter, is an energy form inherent in all systems. Internal energy is represented by the symbol U, and the unit of measurement is the joule (J).Internal energy increases when temperature rises and states or phases transition from solid to liquid and liquid to gas. Planetary bodies can be viewed as hybrids of heat reservoirs and heat engines. Internal energy E is stored in the heat reservoirs, and heat engines transform some of this thermal energy into mechanical, electrical, and chemical energies.Learn more about Internal energy https://brainly.com/question/11278589
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50 POINTS ANSWEr CORRECT Explain how all the other elements heavier than iron are formed after the death of the star?
Answer:
Elements heavier than iron are formed by neutron capture processes during stellar death and supernovae.
Explanation:
Most of the elements heavier than iron are formed during the death of stars through neutron capture processes, specifically the R-Process and the S-Process. The R-Process is a rapid capture of neutrons, while the S-Process is a slow capture of neutrons. These processes either directly form elements or indirectly form them through decay processes [^1]. Elements heavier than iron are primarily made in environments with free-neutron densities in excess of a million particles per cubic centimeter [^2]. In the extreme energetic conditions of supernovae, atoms are bombarded by a very large number of neutrons, and rapid successive neutron capture, followed by beta decay, produces the heavier atoms [^5].
So, elements heavier than iron are formed by neutron capture processes during stellar death and supernovae.
[^1
make sure your response is 3-5 sentences.
What are some of the extreme conditions in space that challenge manned space exploration?
Answer: please see below
Explanation:
A manned space exploration is defined as the exploration of individuals --- astronauts in space using a spacecraft as a vehicle and are responsible for operating its controls
The extreme conditions in space that challenge manned space exploration is as follows.
1. extreme loud sound waves cause by the launch of spacecraft which can shatter the spacecraft
2. extreme Temperatures in space ranging from extreme hot temperatures (near the sun) to extreme cold temperatures ( below freezing point out of space.
3.micrometeorite showers responsible for sandblasting can damage spacecraft.
4.Ultra violet Radiation which can alter the control unit of the spacecraft
Because of theses extreme conditions that pose challenges to space explorations, necessary precautions should be taken into consideration to be able to overcome such challenges. These precautions include building the spacecraft and the control unit in such a way that can resist these harmful conditions, also taking in mind safe escape routes for the astronauts in case of failures.
Which of the following is the largest quantity of mass: 100kg , 100,000 g; 100,000,000mg
Answer:
they are all the same
Explanation:
since every kg is 1000g and every g is 1000mg
100kg, 100,00g and 100,000,000 should be the same
Find the x-component of this vector: 12.1 m 48.4° Remember, angles are measured from the +x axis. X-component (m)
The x component of the vector is determined as 8.03 m.
What is the x -component of the vector?The x component of the vector is calculated by applying the following formula as shown below;
Vx = V cosθ
where;
V is the magnitude of the velocityθ is the angle of inclination of the vectorVx is the x component of the vectorThe x component of the vector is calculated as follows;
Vx = 12.1 m x cos (48.4⁰)
Vx = 8.03 m
Thus, the x component of the vector is determined as 8.03 m.
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(a) When an object's acceleration vector points in the same direction as its velocity, which of the following is true?
A. the object speeds up without turning.
B. the object slows down without turning.
C. the object turns without changing speed.
A. When an object's acceleration vector points in the same direction as its velocity, the object speeds up without turning.
What is acceleration vector?
The average acceleration vector is defined as the rate at which the velocity changes with time.
When an object is slowing down, the acceleration of the object is in the opposite direction as the velocity.
Also, when an object is speeding up, the acceleration of the object is in the same direction as the velocity.
Thus, when an object's acceleration vector points in the same direction as its velocity, the object speeds up without turning.
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A car traveled a distance of 30 km in 20 minutes (1/3 hours). What was the
speed of the car?
A. 90 km/hr
OB. 60 km/hr
O C. 30 km/hr
D. 10 km/hr
a spring balance has a maximum reading of 10 Newton and the length of the calibrated scale is 20 cm a rectangular metal block measuring 10 cm by 3 cm by 2 cm is hanged on the balance and stretches the string by 15 cm calculate the weight of the block the mass of the Block and the total density of the metal from which the blood is made
To calculate the weight of the block, we can use the formula:
Weight = Mass x Gravity
Where gravity is approximately 9.8 m/s^2.
First, we need to find the mass of the block. We can use the formula:
Density = Mass / Volume
The volume of the block is:
Volume = Length x Width x Height
Volume = 10 cm x 3 cm x 2 cm
Volume = 60 cm^3
We don't know the density of the metal, so we can't calculate the mass directly. However, we can use the spring balance reading to find the weight of the block.
The spring balance has a maximum reading of 10 Newtons, which corresponds to a length of 20 cm. When the block is hung on the balance, it stretches the string by 15 cm. The extension of the spring is proportional to the weight of the block, so we can use the following proportion:
Extension of spring / Total length of spring = Weight of block / Maximum weight of spring balance
Substituting the values we have:
15 cm / 20 cm = Weight of block / 10 N
Solving for the weight of the block:
Weight of block = 7.5 N
Now we can find the mass of the block:
Mass = Weight / Gravity
Mass = 7.5 N / 9.8 m/s^2
Mass = 0.765 kg
Finally, we can calculate the density of the metal:
Density = Mass / Volume
Density = 0.765 kg / 60 cm^3
Density = 0.01275 kg/cm^3
So the weight of the block is 7.5 N, the mass of the block is 0.765 kg, and the density of the metal is 0.01275 kg/cm^3.
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Describe the relationship between frequency and wavelength of the visible light spectrum?
A flag pole is attached to the side of a building 5.00 ft off the ground and it hangs down 30 degrees from the vertical. If the pole is 6.00 ft in length, how high in feet is the top of the pole at its highest point (sticking out from building)? (Hint: draw a picture) E
Answer:
h ’= 0.6963 m
this is the height of the part of the post it supports.
Explanation:
For this exercise we can use the trigonometric relationships
Let's start by finding the vertical component of the height of the pole
cos 30 = x / L
x = L cos 30
x = 6 cps 30
x = 5.196 m
with this length, the post has the same height as the building, so there are
Aₓ = L -x
Δx = 6 -5.196
Δx = 0.804 ft
the height of this section is
cos 30 = h ’/ Dx
h ’= 0.804 cos30
h ’= 0.6963 m
this is the height of the part of the post it supports.