It is given that,
Speed of Barbara w.r.t ground, [tex]v_b=-5.9\ m/s[/tex] ( in south)
Speed of neil w.r.t ground, [tex]v_n=-1.4\ m/s[/tex] ( in west)
So, Neil's velocity as seen by Barbara is :
[tex]v^2=\sqrt{(1.4\ m/s)^2+(5.9\ m/s)^2}[/tex]
[tex]v=6.06\ m/s[/tex]
Direction relative to due wet is :
[tex]tan\theta=\dfrac{5.9\ m}{1.4\ m}[/tex]
[tex]\theta=tan^{-1} (4.21)[/tex]
[tex]\theta=76.6\ ^0[/tex]
So, with respect to barbara, Neil is travelling with velocity of 6.06 m/s making an angle of [tex]76.6^0[/tex] due west.
Hence, this is the required solution.
What effect might the stitches on a baseball have on a path of a baseball
Those stitches are what "chews" into the wind when you like to throw a breaking ball. Additionally, a knuckleball that barely spins eats at the wind using the stitches on the ball and this enables it to drop, sail or rise.
In short, the stitches makes the ball air resistant or cut into air making it faster.
The most ‘striking’ feature of the baseball is the stitches that interact with the air when the ball moves. Along with a slight effect on the air drag, there is a strong effect on the Magnus force. According to the stitch pattern, the Magnus force on a moving ball depends accordingly because the air interacts strongly with the raised stitches on the ball. Apart from this, the stitches provide a better grip for the pitcher and help in forcing the ball to move in different ways.
STI is an abbreviation that refers to a number of diseases. What does STI stand for?
What angle can you kick a football that will make the initial vertical component of the velocity equal to the initial horizontal component of the velocity?
Trigonometry allows finding the result for the angle for which the components of the velocity are equal is:
The angle is: θ = 45º
Trigonometry allows you to find the component of the vectors with the relationships.
[tex]cos \theta = \frac{v_x}{v} \\sin \theta = \frac{v_y}{v}[/tex]
vₓ = v cos θ
[tex]v_y[/tex] = v sin sin θ
Indicates that the values of the two components are equal therefore.
[tex]v_y = v_x[/tex]
sin θ = cos θ
The only angle where the sine and cosine values are equal is 45º
In conclusion using trigonometry we can find the result for the angle for which the components of the velocity are equal is:
The angle is: θ = 45º
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The density of pure silver is 10.5 g/cm3 at 20°c. if 5.25 g of pure silver pellets is added to a graduated cylinder containing 11.2 ml of water, to what volume level will the water in the cylinder rise?
Final answer:
Using the density of pure silver (10.5 g/cm³), we calculate that 5.25 g of silver will have a volume of 0.5 cm³, raising the water level in the graduated cylinder from 11.2 mL to 11.7 mL.
Explanation:
The question asks to determine the volume level rise in a graduated cylinder when 5.25 g of pure silver is added to it. To find the rise in the volume of water within the cylinder, we utilize the concept of density, which relationship between mass and volume of a substance. The density of pure silver is given as 10.5 g/cm3. We can calculate the volume of the silver using the formula: Density = Mass / Volume, hence Volume = Mass / Density. Substituting the given values, we get Volume = 5.25 g / 10.5 g/cm3 = 0.5 cm3. Therefore, the volume level in the graduated cylinder will rise from 11.2 mL to 11.7 mL (since 1 cm3 = 1 mL).
What are the three pins that may be worn below your name on the ffa jacket?
When Ilana moved her pencil from the location (2,4) cm on her paper to the location (6, 3) cm, the ______ she made was (+4, -1)
Which of the following is maintained across the terminals of a battery? A. a potential difference B. a voltage drop C. an electric charge D. both A and B
both a and b
ur answer is d
What's the momentum of a 3.5-kg boulder rolling down hill at 5 m/s
Two technicians are discussing magnetic coils. technician a says that the magnetic force can be increased by increasing the number of windings in the coil. technician b says that won't help because adding windings also increases the length of the wire, so current flow will go down and the magnetic strength will be the same. who is correct.
A rocket ship travels 14,000 miles per hour. What is the rocket ship's velocity in m/s in correct scientific notation? (1 km = 0.62 mi) A. 6.3 × 10^3 m/s B. 0.627 × 10^3 m/s C. 630 × 10^6 m/s D. 6.3 × 10^5 m/s
Why is declaring faith the first of the five pillars of Islam?
The philosophy is
simple that no one can start the journey towards being a Muslim unless he
professes the basic principles mentioned in the "Declaration of
Faith", which is "“There is none worthy of
worship but Allah and Muhammad is His Messenger”.
The declaration consists of the two most fundamental elements of Islamic ideology:
1) Unity of Allah: Declaring that there is only One God and none else is mandatory
to be a Muslim.
2) Faith in the prophet hood of Muhammad, the messenger of Islam.
How much heat is absorbed by a 29g iron skillet when its temperature rises from 9oC to 105oC?
Two arrows are shot vertically upward. the second arrow is shot after the first one, but while the first is still on its way up. the initial speeds are such that both arrows reach their maximum heights at the same instant, although these heights are different. suppose that the initial speed of the first arrow is 31.8 m/s and that the second arrow is fired 1.82 s after the first. determine the initial speed of the second arrow.
Final answer:
To determine the initial speed of the second arrow when both arrows reach their maximum height at the same time, kinematic equations are utilized, taking into account the initial velocity of the first arrow, delay time before the second arrow is fired, and gravity's acceleration.
Explanation:
The problem given is a classic example of two-body motion in which two arrows are launched vertically with different initial velocities, and the challenge is to find the initial speed of the second arrow when both arrows reach their peak heights simultaneously. To solve this problem, we need to use the equations of kinematics for each arrow.
First, we find the time it takes for the first arrow to reach its maximum height using the initial speed and the acceleration due to gravity. The equation for this is derived from the kinematic equation v = u + at, where v is the final velocity (0 m/s at maximum height), u is the initial velocity (31.8 m/s), a is the acceleration (-9.8 m/s² directed downwards), and t is the time. Thus, the time, t, for the first arrow to reach its maximum height can be calculated as follows:
t = (v - u) / a
Knowing the time it takes for the first arrow to reach the maximum height, we can then calculate the initial speed of the second arrow, which is fired 1.82 s later. This involves adding the delay time to the time it took the first arrow to reach the maximum height and then using that total time to determine the initial speed of the second arrow using the kinematic equation u = v - at, with v again being 0 m/s at maximum height.
By carefully evaluating these kinematic equations, we find the initial speed of the second arrow, ensuring that both arrows reach their peak heights at the same moment.
A cyclist travels for 30 min with an average speed of 10km/h. How far does she travel?
Answer:
5 km
Explanation:
Hello
speed is the relationship between a travel length and the time taken for it,and the equation is given by
[tex]V=\frac{displacement(d)}{time\ used\ for\ do\ that\ displacement(t)}\\\\ V=\frac{d}{t}[/tex]
Step 1
the speed and the time are known data, so we have to isolate the displacement
[tex]v=\frac{d}{t}\\d=v*t[/tex]
Step 2
same units of time must be used, hence
using a rule of three let's convert 30 min into hours
[tex]1\ hour = 60\ minutes\\x? hours= 30\ min\\\frac{1\ hour}{60\ minutes}=\frac{x}{30\ minutes } \\ x=\frac{1\ hour*30\ minutes}{60\ minutes}\\x=0.5\ hours\\[/tex]
Step 3
Put the values into the equation
[tex]d=v*t\\d=10\frac{km}{h}* 0.5\ h\\\\ d=5 km[/tex]
he traveled 5 kilometers
Have a good day
A gauge of how exact a measurement is called
An object has a mass of 15 kg and is accelerating to the right at 16.3 m/s2. The free-body diagram shows the horizontal forces acting on the object.
What is the frictional force, Ff, acting on the object?
5.5 N
15 N
244.5 N
494.5 N
Answer :
5.5 N
Answer:
Ff = 5.5 N
Explanation:
Given:
M: 15kg
A: 16.3 m/s2
We use:
[tex]f=ma[/tex]
force=mass*acceleration
[tex](15kg)(16.3m/s^{2} )=244.5N[/tex]
This means that 244.5 N is the net force on the object, and the right vector is showing 250 N, so to find the left vector - which would be a negative number (left direction) - we do
[tex](-Ff)+250N= 244.5N (net force)[/tex]
Which would give us 5.5 N in the left direction (Ff)Hope This Helps!
When the shuttle bus comes to a sudden stop to avoid hitting a dog, it decelerates uniformly at 4.6 m/s2 as it slows from 9.5 m/s to 0 m/s.
Find the time interval of acceleration for the bus.
Answer in units of s.
Final velocity = Vf=0
Initial velocity = Vi = 9.5m/s
Acceleration = a = -4.6m/s²
Time = t =?
Now use the formula;
Vf=Vi+at
0=9.5 - 4.6m/s²t
-9.5 = -4.6m/s²(t)
9.5/4.6 = t
T= 2.01s
If the voltage is 120 v, and the desired current is 5 a, what resistance must be in the circuit?
Using Ohm's Law, the resistance required in a circuit with a voltage of 120 volts to achieve a current of 5 amps is calculated to be 24 ohms.
To determine the resistance that must be in the circuit when the voltage is 120 volts, and the current is 5 amps, you can use Ohm's Law.
Ohm's Law states that V = IR, where V is the voltage, I is the current, and R is the resistance. You can rearrange the equation to solve for resistance: R = V/I.
Plugging the given values into this formula:
Voltage (V) = 120 volts
Current (I) = 5 amps
Resistance (R) = V/I = 120V / 5A = 24 ohms.
Therefore, the circuit must have a resistance of 24 ohms to achieve a current of 5 amps with a voltage of 120 volts.
When water freezes, what happens to the temperature of the surrounding air?
in a historical movie, two knights on horseback start from rest at 88.0 m spartans ride directly toward each other to do battle. Sir George’s acceleration has a magnitude of 0.300 m/s^2, while Sir Alfred’s has a magnitude of 0.200 m/s^2. Relative to Sir George’s starting point, where do the knights collide?
A rocket blasts off and moves straight upward from the launch pad with constant acceleration. after 3.6 s the rocket is at a height of 70.0 m. (a) what are the magnitude and direction of the rocket's acceleration?
A pair of electrically charged objects attract each other with a force of 4 n when they are a distance of 2 m apart. if their charges stay the same, then what will be the attractive force between them when they are 4 m apart?
This outlaw is executed by hanging "in the spring of '25" by
Final answer:
The question delves into historical instances of execution by hanging, touching on both real individuals like John Brown and Nat Turner, and fictional characters such as Peyton Farquhar. These figures were tied to pivotal societal and political issues, such as slavery and civil war, facing harsh penalties for their actions.
Explanation:
The question refers to various historical figures who were executed by hanging for their actions which often had considerable political or social impact. Peyton Farquhar, a fictional character from Ambrose Bierce’s short story, "An Occurrence at Owl Creek Bridge", symbolizes the concept of civilian interference in military matters and the grim consequences that follow during times of war. He is described as a genteel man, suggesting that civil status did not exempt one from capital punishment. A reference is made to John Brown, a historical figure who was hanged in 1859 after attempting to initiate a slave revolt at Harpers Ferry, effectively marking a critical moment that stirred greater national tension leading to the American Civil War.
Similarly, it mentions Nat Turner, leader of a slave rebellion in Virginia, which led to a swift and brutal response from the state authorities and white vigilantes, resulting in his death along with many other Black individuals, free and enslaved. Lastly, it hints at the Fugitive Slave Law and the repercussions for those who attempted to help enslaved individuals escape, as in the case of the unidentified 'young white man from Ohio.' This aligns with historical accounts of abolitionists and their often fatal attempts to combat slavery.
Temperature, Thermal Energy and Heat is what my questions are about, in picture
The radius of a niobium atom is 131 pm. how many niobium atoms would have to be laid side by side to span a distance of 2.40 mm
The number of atoms required to span the given distance is [tex]9.1\times 10^8[/tex].
The SI unit of length is the meter. The unit conversion of the picometer and millimeter to the meter is:
[tex]1\ pm= 10^{-12}\ m\\1\ mm= 10^{-3}\ m[/tex]
Given:
The radius of the niobium atom, [tex]r=131\ pm[/tex]
The length to be covered is [tex](l) =2.40\ mm[/tex]
Convert both magnitudes into meters.
[tex]r=131\times10^{-12}\ m\\l=2.40\times10^{-3}\ m[/tex]
The number of atoms required to cover the length is calculated as:[tex]n=\frac{l}{2\times r}\\=\frac{2.40\times 10^{-3}}{2\times1.31\times10^{-12}}\\=9.6\times10^8[/tex]
Therefore, the number of atoms required to span the given distance is [tex]9.1\times 10^8[/tex].
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Final answer:
Approximately 9160 niobium atoms, each with a diameter of 262 pm, would need to be laid side by side to span a distance of 2.40 mm.
Explanation:
To determine how many niobium atoms would span a distance of 2.40 mm, we need to convert the length into picometers (pm) since the atomic radius of niobium is given in picometers. First, convert millimeters to picometers:
1 mm = 106 pm
Therefore, 2.40 mm equals 2.40 × 10⁶ pm:
2.40 mm = 2.40 × 10⁶ pm
Next, since the atomic radius of niobium is the distance from the center to the edge of one atom, the diameter of one niobium atom is twice the radius. Therefore, the diameter is 2 × 131 pm = 262 pm.
To find out how many niobium atoms fit into 2.40 mm, divide the total distance in picometers by the diameter of one niobium atom:
Number of Niobium atoms = Total distance (pm) / Diameter of one atom (pm)
Number of Niobium atoms = 2.40 × 10⁶ pm / 262 pm
Finally, calculate the number of niobium atoms:
Number of Niobium atoms = 9160.3
Since we cannot have a fraction of an atom, we round to the nearest whole number, which makes it roughly 9160 niobium atoms that would span 2.40 mm.
A group of 7 campers has 4 hours to hike to a lighthouse and back before sundown. the lighthouse is 28 meters high. it is located 12 kilometers from camp. how fast do they have to walk?
We must take note that the 28 meters high is simply a diversion. What we only need is the 4 hours and 12 kilometers distance. The formula for calculating the speed or velocity is :
velocity = distance / time
Therefore:
velocity = 12 km / 4 h
velocity = 3 km / h = 0.83 m / s
Answer: So the campers must travel 12km two times (because they must go back after reached the lighthouse), and 28m two times.
If they keep the velocity constant (it means that they climb up and down the stairs at the same speed that they walk )
then you could add the whole distance as 12km*2 + 28m*2
a km is 1000m, so the distance will be 12000*2m+28*2m = 24046m
and they have 4 hours to do this, so the velocity is distance over time, they should do 24046m/4hours = 6011.5m/h or 6.0115km/h
Explain the difference between si base units and derived units. give an example of each
Final answer:
SI base units are the seven fundamental units in the SI system, such as kilograms for mass; derived units, such as grams per milliliter for density, are constructed by combining base units. Derived units are essential for expressing a wide range of physical quantities, demonstrating the SI system's adaptability.
Explanation:
The difference between SI base units and derived units lies in their definitions and applications. SI base units are the seven fundamental units of measurement in the International System of Units (SI) that are defined by specific physical phenomena and are independent of each other. These include the kilogram (kg) for mass and the meter (m) for length, among others. On the other hand, derived units are units that are constructed by combining the base units according to algebraic relationships. Examples of derived units include grams per milliliter (g/mL) for density and joules (J) for energy, which are obtained by combining base units in multiplicative ways.
Derived units can express a wide variety of physical quantities such as area, volume, density, and energy, showcasing the versatility of the SI system. Combining prefixes with base units can also create new units of larger or smaller sizes, enhancing the adaptability of the system to cover a broad range of measurements from the microscopic to the astronomical scale.
A roller coaster has a mass of 425 kg. It sits at the top of a hill with height 66 m. If it drops from this hill, how fast is it going when it reaches the bottom? (Assume there is no air resistance or friction.)
Two boxes are suspended from a rope over a pulley. each box has weight 50 n. what is the tension in the rope
When jogging outside you accidently bump into a curb. Your feet stop but your body continues to move forward and you end up on the ground. Which law of motion is being described in this scenario?