Magnitude of resultant electric field at the third corner: 9.63 x 10^8 N/C
Force acting on the alpha particle: 3.08 x 10^-11 N
To calculate the magnitude of the resultant electric field at the third corner of the equilateral triangle, we need to find the electric fields due to the two point charges and then combine them vectorially.
Calculate the electric field due to the first point charge (2µC).
Using the formula for the electric field of a point charge:
E1 = k * (q1 / r1^2)
where k is the Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q1 is the charge of the first point charge (2µC = 2 x 10^-6 C), and r1 is the distance between the first point charge and the third corner of the triangle (which is the same as the side length of the equilateral triangle, 20 cm = 0.2 m).
E1 = (8.99 x 10^9 Nm^2/C^2) * (2 x 10^-6 C / (0.2 m)^2)
E1 = 4.495 x 10^6 N/C
Calculate the electric field due to the second point charge (3µC).
Using the same formula as in Step 1:
E2 = k * (q2 / r2^2)
where q2 is the charge of the second point charge (3µC = 3 x 10^-6 C), and r2 is the same as r1.
E2 = (8.99 x 10^9 Nm^2/C^2) * (3 x 10^-6 C / (0.2 m)^2)
E2 = 6.7425 x 10^6 N/C
Combine the electric fields vectorially.
Since the charges are placed at two corners of an equilateral triangle, the electric fields they produce will have magnitudes of E1 and E2, but they will be pointing in opposite directions.
The resultant electric field can be found by subtracting the electric field due to the second charge from the electric field due to the first charge:
E_resultant = E1 - E2
E_resultant = 4.495 x 10^6 N/C - 6.7425 x 10^6 N/C
E_resultant = -2.2475 x 10^6 N/C
Calculate the force acting on the alpha particle.
To find the force acting on the alpha particle, we can use the formula:
F = q * E_resultant
where q is the charge of the alpha particle (3.2 x 10^-19 C).
F = (3.2 x 10^-19 C) * (-2.2475 x 10^6 N/C)
F = -6.794 x 10^-13 N
The magnitude of the force acting on the alpha particle is given by the absolute value of F:
|F| = 6.794 x 10^-13 N
Therefore, the magnitude of the resultant electric field at the third corner of the triangle is 9.63 x 10^8 N/C, and the force acting on the alpha particle is 3.08 x 10^-11 N.
The probable question could be:
Two point charges 2µC and 3µC are placed at two corners of an equilateral triangle of side 20cm in free space. Calculate the magnitude of resultant electric field at the third corner of the triangle, if an alpha particle is placed at the third corner, what is the force acting on it? ( charge on alpha particle is 3.2 X10^-19C).
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A 25 kg lamp is hanging from a rope. What is the tension force being supplied by the rope?
The tension force being supplied by the rope is 245 N.
What is tension force?Tension force is the force exerted on a rope or cord due to the weight of an object suspended from it.The tension force on the given rope due to the weight of the lamp hanging from the rope is calculated by applying Newton's second law of motion as shown below;
T = mg
where;
m is the mass = 25 kgg is acceleration due to gravity = 9.8 m/s²T = 25 x 9.8
T = 245 N
Thus, the tension force being supplied by the rope is 245 N.
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An insulated aluminium calorimeter with a mass of 154 g, contains 90 ml of water at a temperature of 80°C 10 g of ice at -20°C is added to the water and the mixture stirred until the ice has dissolved. What is the final temperature of the water? (specific heat aluminium = 880 JkgK¹)
The final temperature of the water is approximately 19.8°C.First, we need to calculate the heat lost by the water as it cools down from 80°C to the final temperature.
What formula is used?We can use the formula: Q = m × c × ΔT where Q is the heat lost, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.
The mass of water in the calorimeter is:
90 ml = 90 g
The heat lost by the water is:
Q1 = 90 g × 4.18 J/g°C × (80°C - T)
Q = m × Lf + m × c × ΔT
The mass of ice added to the water is 10 g. The heat gained by the ice is:
Q2 = 10 g × 334 J/g + 10 g × 4.18 J/g°C × (T - (-20°C))
where 334 J/g is the heat of fusion of water.
Since the calorimeter is insulated, we know that the heat lost by the water must equal the heat gained by the ice. Therefore:
Q1 = Q2
90 g × 4.18 J/g°C × (80°C - T) = 10 g × 334 J/g + 10 g × 4.18 J/g°C × (T - (-20°C))
Simplifying and solving for T, we get:
T = 19.8°C
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the position of an object on a velocity time graph is given as (20,5) and (10,3). calculate the acceleration of the object
Suppose that a car is initially moving at a speed of 100 m / s to the right. Take right a positive. The driver hits the brakes, and the car comes to a stop in a time of 20 s. What is the acceleration of the car?
The required acceleration of the car, when the driver hits the brake, is \(-5 m/s^2\), the negative sign indicates that the car is slowing down.
From the question we can see that the:
initial velocity(u) is + 100 m/s (to the right)
Final velocity (v) is 0 since the car comes to stop
Time (t) is 20 s
We can use the formula
a= (v-u)/t to find the acceleration(a) of the car.
Now Substituting the values in the formula given above we get:
a=(0-100)/20
a= \(-5m/s^2\)
Therefore, the acceleration of the car is \(-5 m/s^2\). The negative sign in the answer indicates that the acceleration is in the opposite direction to the initial velocity, which means that the car is slowing down or decelerating.
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please please please please please please please please please please please please please please please please please please please please please
Answer:
Explanation:
Please please please what
Help my brain ain’t braining
The arrows are drawn in the figure which shows gravitational forces on each person on earth.
Gravitational force is force of attraction between two masses. Gravitational force(F) between two bodies is directly proportion to the product of masses(m₁,m₂) of two bodies and inversely proportional to square of distance(r) between them. mathematically it is written as,
F∝ m₁.m₂
F ∝ 1/r²
F = G m₁,m₂÷r²
where G is gravitational constant, whose value is 6.6743 × 10⁻¹¹ m³ kg-1s⁻².
Force is expressed in Newton N in SI unit. its dimensions are [M¹L¹T⁻²].
This is analogous with coulomb's law which gives force between two charges.
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If the sum of the external forces on an object is zero, then the sum of the external torques on it
must also be zero.
A) True
B) False
Answer:
True.
Explanation:
If the sum of the external forces on an object is zero, then the sum of the external torques on it must also be zero.
The net external force and the net external torque acting on the object have to be zero for an object to be in mechanical equilibrium.
Hence, the given statement is true.
the student measure the massof he wooden block and found it to be =0.20kg.name the apparatus that can used to measure the mass ofthe wooden block
The apparatus that can used to measure the mass of the wooden block by the student is called beam balance.
A beam balance, often referred to as a double-pan balance, is a straightforward tool for determining an object's weight. Two pans or trays are hung from either end of a horizontal beam that is suspended from a pivot point in the middle.
The thing to be weighed is put on one tray, and then the second tray is filled with standard weights until it balances, showing the weight of the object. From little ones used in laboratories to larger ones used in enterprises, beam balances can be found in a variety of shapes and sizes. Because they are precise and operate without electricity or batteries, they are widely used.
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The image shows a molecular model of a compound using balls and sticks. Each ball is an atom. If you were to use balls and sticks to model a molecule of an element how must your model differ from what’s shown
Element molecules consist of a single type of atom and are held together by covalent bonds. The model would have uniform-colored balls connected by sticks representing these bonds.
The image represents a molecular model of a compound. Balls represent atoms, while sticks show chemical bonds between atoms. If you are to use balls and sticks to model a molecule of an element, the model would differ from what is shown because the element is made up of one type of atom. In other words, it is a pure substance that can't bond to other atoms of the same kind. Molecules of elements are usually composed of a single element and are not formed by bonding between two or more different atoms.In contrast to compounds, atoms in an element molecule are joined by a chemical bond called a covalent bond. Furthermore, the same atom is represented by a single-colored ball as there is only one type of atom involved in the element molecule. The sticks represent covalent bonds between the atoms of the same kind in a molecule of the element.For more questions on covalent bonds
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Two atoms of the same element only differ because one of the atoms has more electrons, making it an ion. Which statement is true? They have the same A-number and the same Z-number. They have the same A-number but different Z-number. They have a different A-number but the same Z-number. They have different A-numbers and different Z-numbers.
The correct answer is Option B. The statement "they have the same A-number but different Z-number" is true .
Atoms of the same element only differ because one of the atoms has more electrons, making it an ion.
This difference does not affect the mass of the atom, which is determined by the sum of its protons and neutrons, represented by the atomic mass or A-number.
The number of protons in an atom is called the atomic number or Z-number.
The Z-number of an element is unique to it. All the atoms of a given element have the same number of protons.
Thus, for example, all carbon atoms have six protons, making the Z-number of carbon 6.
However, different isotopes of an element can have different numbers of neutrons.
This means that they have a different atomic mass or A-number.
Therefore, they have the same A-number but different Z-number.
Therefore the correct Option is B.
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Which of the following sources is most likely to be free of bias? OA. Textbook OB. Blog post c. Diary D. Video interview
Answer:
Textbook
Explanation:
Pretty obvious thi :v
Answer:
OA
Explanation:
Text books are often reviewed by experts hence, is likely to be biased.
what is the processes found at a divergent boundary that helps form metamorphic rocks, igneous rocks, and sedimentary rocks. I need the process name for each one pls
At a divergent boundary, heat and pressure can cause metamorphism, magma can solidify to form igneous rocks, and sediments can accumulate and lithify to form sedimentary rocks. These three processes contribute to the formation of various types of rocks.
At a divergent boundary, three main processes occur that can lead to the formation of metamorphic, igneous, and sedimentary rocks:
1. Metamorphic rocks: Heat and pressure from the divergent boundary can cause existing rocks to be metamorphosed, or transformed, into new rocks with different textures and mineral compositions. This process is called metamorphism.
2. Igneous rocks: Magma, which is molten rock, can rise to the surface at a divergent boundary and cool and solidify to form igneous rocks. This process is called solidification or crystallization.
3. Sedimentary rocks: Sediments, such as sand and mud, can accumulate in the low-lying areas near a divergent boundary, such as in rift valleys or on the continental shelf. Over time, these sediments can be compacted and cemented together to form sedimentary rocks. This process is called lithification.
Hence, Heat and pressure at a divergent boundary can produce metamorphism, solidify magma to create igneous rocks, and accumulate and lithify sediment to create sedimentary rocks. Different sorts of rocks are formed as a result of these three processes.
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Particles q1 =+9.33 uC, q2 =+4.22 uC, and q3=-8.42 uC are in a line. Particles q1 and q2 are separated by 0.180 m and particles q2 and q3 are separated by 0.230 m. What is the net force on particle q2?
The net force on q₂ will be 1.07 x 10⁻² N, pointing to the left.
To find the net force on particle q₂, we need to calculate the force due to q₁ and q₃ individually and then add them up vectorially. We can use Coulomb's law to calculate the force between two point charges:
F = k × (q₁ × q₂) / r²
where F is the magnitude of the force, k is Coulomb's constant (k = 8.99 x 10⁹ Nm²/C²), q1 and q2 are the charges of the two particles, and r is the distance between them.
The force due to q₁ on q₂ can be calculated as:
F₁ = k × (q₁ × q₂) / r₁²
where r1 is the distance between q₁ and q₂ (r₁ = 0.180 m).
Similarly, the force due to q₃ on q₂ can be calculated as:
F₂ = k × (q₃ × q₂) / r₃²
where r₃ is the distance between q₂ and q₃ (r₃= 0.230 m).
The direction of each force can be determined by the direction of the electric field due to each charge. Since q₁ and q₃ have opposite signs, their electric fields point in opposite directions. Therefore, the force due to q₁ points to the left and the force due to q₃ points to the right.
To find the net force, we need to add up the forces vectorially. Since the forces due to q₁ and q₃ are in opposite directions, we can subtract the magnitude of the force due to q₃ from the magnitude of the force due to q₁ to get the net force on q₂:
Fnet = F₁ - F₃
Substituting the values we get:
Fnet = k × (q₁ × q₂) / r₁² - k × (q₃ × q₂) / r₃²
Plugging in the values we get:
Fnet = (8.99 x 10⁹ Nm²/C²) × [(9.33 x 10⁻⁶ C) × (4.22 x 10⁻⁶ C) / (0.180 m)² - (-8.42 x 10⁻⁶ C) × (4.22 x 10⁻⁶ C) / (0.230 m)²]
Fnet = 1.07 x 10⁻² N
Therefore, the net force on q₂ is 1.07 x 10⁻² N, pointing to the left.
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In a given cartesian coordinate system a particle is in the position (initial vector position) ( 9.2 , 3.1 ) meters. After 10 seconds, the particle is in the position (final vector position) ( 72.2, 77.2 ) meters. What is the magnitude of the average velocity of the particle during the given time interval, in m/s
Answer:
Thus, the average velocity is 9.73 m/s.
Explanation:
The velocity is given by the rate of change of position.
initial position, A = (9.2, 3.1) m
final position, B = (72.2, 77.2) m
time, t = 10 s
The velocity is given by
\(\overrightarrow{v} =\frac{\overrightarrow{B}-\overrightarrow{A}}{t}\\\overrightarrow{v}=\frac{(72.2-9.2)\widehat{i} - (77.2-3.1)\widehat{j}}{10}\\\overrightarrow{v}=\frac{63 \widehat{i} - 74.1\widehat{j}}{10}\overrightarrow{v} =6.3 \widehat{i} - 7.41 \widehat{j}\\v =\sqrt{6.3^{2}+7.41^{2}}v = 9.73 m/s\)
Consider a frictionless track as
shown. A block of mass m1 = 5.00
kg is released from A. It makes a
head-on elastic collision at B with a
block of mass m2= 10.0 kg that is
initially at rest. Calculate the
maximum height to which m1rises
after the collision .
The maximum height to which block 1 rises after the collision is 0.56m
What is mechanical energy?The mechanical energy is the sum of kinetic energy and the potential energy of an object at any instant of time.
M.E = KE +PE
A block of mass m1 = 5.00kg is released from A. It makes a head-on elastic collision at B with a block of mass m2= 10.0 kg that is initially at rest.
The conservation of energy principle states that total mechanical energy remains conserved in all situations where there is no external force acting on the system.
Kinetic energy before collision = Potential energy after collision
1/2 mu² =mgh
The velocity at the bottom, when the height h = 5m, is
u= √2gh
u = √2x 9.81 x5
u = 9.9 m/s
For elastic head on collision, final velocity of block 1 after collision is
v₁ = (m₁ -m₂)/ (m₁ +m₂) x u
Putting the values, we get
v₁ = -3.3 m/s
The final velocity of block 2 after collision is
v₂ = 2m₁ / (m₁ +m₂) x u
Putting the values, we get
v₂ =6.6 m/s
For block 1, after collision kinetic energy is converted to potential energy, then the maximum height rises
h' = v₁²/2g
h' = (-3.3)²/(2x9.81)
h' = 0.56 m
Thus, the height gained by the block after collision is 0.56 m.
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Why evaporation takes place from the Surface?
Answer:
in the water cycle evaporation occurs when the sunlight warms the surface of the water the heat from the sun makes the water molecules move faster and faster until they move so fast they can escape as a gas once evaporated a molecule from water that vapor spends about 10 days in the air
What is the typical treatment for Hodgkin's disease?
desensitization treatments, bone marrow transplant, and biopsy
desensitization treatments, chemotherapy, and thymectomy
radiation, biopsy, and desensitization treatments
radiation, chemotherapy, and bone marrow transplant
Answer:
Pretty sure its D.
radiation, chemotherapy, and bone marrow transplant
Explanation:
Radiation, chemotherapy, and bone marrow transplant are the typical treatment for Hodgkin's disease. Therefore, option (D) is correct.
What is Hodgkin lymphoma?Hodgkin lymphoma can be described as a type of lymphoma, in which cancer forms from a specific type of white blood cell known as lymphocytes, where multinucleated Reed-Sternberg cells are present in the lymph nodes.
The most common symptom of Hodgkin's lymphoma is the painless enlargement of lymph nodes. Hodgkin lymphoma can be treated with radiation therapy, chemotherapy, and stem cell transplantation. The treatment generally depends on how advanced cancer has favorable features.
Radiation and chemotherapy drugs increase the risk of other cancers, lung disease, or heart disease over the subsequent decades.
Hodgkin lymphoma can be distinguished from non-cancerous causes of lymph node swelling and from other cancer. Definitive diagnosis is by lymph node biopsy. Blood tests are performed to assess the function of major organs and safety for chemotherapy.
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Are any of the forces acting on the freezer
unbalanced?
Answer: put them in the microwave
Explanation:
suppose a hiker is on a mountain ridge 1200 meters above sea level. approximately what air pressure will she experience
Assuming standard atmospheric conditions, the air pressure at sea level is approximately 1013.25 hectopascals (hPa) or 1 atmosphere (atm). The air pressure decreases with altitude following the barometric formula, which states that pressure decreases by about 1 hPa for every 8 meters of ascent.
Using this formula, we can estimate the air pressure at 1200 meters above sea level as follows:
1200 m / 8 m per hPa = 150 hPa
Therefore, the hiker on a mountain ridge 1200 meters above sea level would experience an air pressure of approximately 863.25 hPa (1013.25 hPa - 150 hPa) or about 0.85 atm.
Where is the near point of an eye for which a spectacle lens of power +2 D is prescribed for reading purpose?
The near point of a human eye is about a distance of 25 cm.
The closest distance that an object may be viewed clearly without straining is known as the near point of the eye.
This distance (the shortest at which a distinct image may be seen) is 25 cm for a typical human eye.
The closest point within the accommodation range of the eye at which an object may be positioned while still forming a focused picture on the retina is also referred to as the near point.
In order to focus on an item at the average near point distance, a person with hyperopia must have a near point that is further away than the typical near point for someone of their age.
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Your class goes on a field trip to observe drilling machinery. The geologists at the drill site show you displays of drilled rocks to compare different types of drills and methods. The drilled holes in one rock display are significantly larger than the holes drilled in the display next to it. Given this information, which statement is correct?
We can see here that the statement that is correct will be: B. The rock display with larger holes shows petroleum drilling, which is deep underground.
Who is a geologist?A geologist is a scientist who focuses on the solid components of the Earth, such as minerals and rocks, as well as the processes that shape the planet's surface.
Geologists study the make-up, structure, and past of the Earth's crust in order to comprehend geological processes including mountain creation, earthquake and volcanic activity, and the exploitation of natural resources. They frequently perform fieldwork, gathering samples, running surveys, and researching geological formations.
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The complete question is that:
Your class goes on a field trip to observe drilling machinery. The geologists at the drill site show you displays of drilled rocks to compare different types of drills and methods. The drilled holes in one rock display are significantly larger than the holes drilled in the display next to it. Given this information, which statement is correct? (1 point)
A. The rock display with smaller holes shows copper drilling, which is deep underground.
B. The rock display with larger holes shows petroleum drilling, which is deep underground.
C. The rock display with smaller holes shows petroleum drilling, which is closer to the surface.
D. The rock display with larger holes shows copper drilling, which is closer to the surface.
What does the slope represent? v^2/h = what variable?
Answer:
Slope measures the rate of change in the dependent variable as the independent variable changes.
Explanation:
What happens to the wavelength when the frequency increases? (
O The wavelength stays the same
The wavelength increases if the speed increases
O The wavelength decreases.
O- The wavelength increases
NEED ASAP PLEASE!!!
Answer:
(Question) Which type of wave needs a medium to travel?
(Answer) sound waves, because they travel by oscillating molecules
(Question) What do both sound and light waves transfer?
(Answer) energy
(Question) How does an increase in amplitude affect sound and light waves?
(Answer) louder sound and brighter light
(Question) What happens to the wavelength when the frequency increases?
(Answer) The wavelength decreases.
(Question) Which of the following is true about sound waves?
(Answer) Sound moves faster in the ocean than in the air.
Explanation:
i just finished the quick check UwU
Stefan pushes a cart with three books so it just reaches the end of a track. He puts six books onto the cart. What must he use next time so the cart reaches the end of the track?
Answer:
if its adding its 9 if its multiplying its 18 if its division its 2
Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference.1. What is the magnitude of the electric field along the positive z axis? Use k in your answer, where k= 1/4piepsion not.( E(z)=? )2.The ball will oscillate along the z axis between z=d and z=-d in simple harmonic motion. What will be the angular frequency omega of these oscillations? Use the approximation d ll a to simplify your calculation; that is, assume that d^2 + a^2 similar a^2.Express your answer in terms of given charges, dimensions, and constants. ( What is value of omega)
The magnitude of the electric field along the positive z axis is kqz/√(z^2+a^2)^3/2 , the angular frequency of these oscillations is √(kqq0/ma^3)
1. Given that a uniformly charged ring in the xy plane, centered at the origin.
Radius of the ring(r) = a
positive charge distributed evenly along its circumference = q
k= 1/4piepsion
The electric field can be described as, E = kq/r^2
The force exerted on an electric charge by a charge is F = q0E
Any vector can be projected along the z = A(z)=Acosθ
We know that ∑F =ma
Acceleration along z axis = a =d^2z/dt^2
The equation of motion for a simple harmonic oscillation along z is d^2z/dt^2 = -ω^2z
Here, ω is the cosine function in a right-angled triangle is cosθ = z/√(z^2+a^2)
dE(z)=dEcosθ we know that E = kq/z^2+a^2
To calculate the magnitude of the electric field caused by complete rings, integrate dE(z)=dEcosθ
E(z) = Ecosθ = kq/(z^2+a^2) x z/√(z^2+a^2)
E(z) = kqz/(z^2+a^2)^3/2
2. We know that F= q0E = kqq0z/(z^2+a^2)^3/2
Given The ball will oscillate along the z axis between z=d and z=-d in simple harmonic motion. Let z =d
F = kqq0d/(d^2+a^2)^3/2 = kqq0d/a^3
Force at any point along z = - kqq0z/a^3
We know F = ma =
- kqq0z/a^3 = md^2z/dt^2
d^2z/dt^2= - kqq0z/ma^3
This equation of motion can be compared with the equation of motion for simple harmonic motions to find the angular frequency.
ω =√(kqq0/ma^3)
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The bullet strikes a block of wood which exerts, on average, a force of 50,000 N opposing the motion of the bullet. How far does the bullet penetrate?
The distance that the bullet penetrates is 0.03m.
How to solve?Given data:
The mass of the bullet is
m = 25 g = 0.025 kg
The bullet's initial velocity is
u = 350 m/s
The final velocity of the bullet is
v = 0
The average force opposing the motion is
F = 50000N
From Newton's second law, the acceleration derived as,
F = m. a.
a = F. m..........(1)
Substituting values in equation (1), we get:
a = 50000 N / 0.025 kg = 2×106 m/s 2
The equation of motion is,
v 2=u 2−2 a S
2 a S=u 2−v 2
S = u 2−v 2/2 a.......(2)
Substituting values in equation (2), we get:
S = (350 m/s)2−0/2(2×106 m/s 2)
=12.25×104 m/s 4×106 m/s 2=0.03m
here, the distance that bullet penetrates is 0.03m.
What is the kinetic energy equation?Kinetic energy has the following formula: K.E. = 1/2 m v 2, where m is the object's mass and v is its square velocity. The kinetic energy is measured in kg/m per second squared if the mass is measured in kg and the velocity is measured in meters per second.
Which 4 forms of kinetic energy are there?Radiant, thermal, electrical, and mechanical kinetic energies are the basic categories.
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A light plastic cart and a heavy steel cart are both pushed with the same force for 1.0 s, starting from rest. After the force is removed, the momentum of the light plastic cart is ________ that of the heavy steel cart.
Answer:
my friend give options .............
What distance will a vehicle travel before coming to a complete stop from a speed of 70 mph, (a) When the vehicle is traveling on a level roadway with no grade, (b-1) When the vehicle is traveling uphill on a roadway of constant grade = 0.10, (b-2) If the roadway grade is not constant but starts at 0.10 uphill and decreases to 0 at a continuous rate, would the braking distance be equal to, greater than, or less than that in the case of a constant 0.10 uphill grade, (c) When the vehicle is traveling downhill on a roadway of constant grade = 0.10.
Answer:
(a), The SSD will be 723.9 ft.
(b-1), The SSD will be 620.2 ft.
(b-2), The SSD will be \(723.91>SSD>620.2\)
(c), The SSD will be 910.5 ft.
Explanation:
Given that,
Speed = 70 mph
Suppose, a perception reaction time of 2.5 sec and the coefficient of friction is 0.35
We need to calculate the stopping sight distance
Using formula of SSD
\(SSD=1.47\times v\times t+\dfrac{v^2}{30\times(f\pm g)}\)
Where, v = speed of vehicle
t = perception reaction time
f = coefficient of friction
g = gradient of road
(a). If the gradient of road is zero.
Then, the stopping sight distance will be
\(SSD=1.47\times 70\times 2.5+\dfrac{70^2}{30\times(0.35)}\)
\(SSD=723.9\ ft\)
(b-1). If the gradient of road is 0.1
Then, the stopping sight distance will be
\(SSD=1.47\times 70\times 2.5+\dfrac{70^2}{30\times(0.35+0.1)}\)
\(SSD=620.2\ ft\)
(b-2). If the grade continuously decrease then the SSD will be increase.
But if the grade is increase then the SSD will be decrease and for flat grade the SSD will be more.
So, The SSD will be \(723.91>SSD>620.2\)
(c). When the vehicle is traveling downhill on a roadway of constant grade then the vehicle take will be more SSD
So, The SSD will be
\(SSD=1.47\times 70\times 2.5+\dfrac{70^2}{30\times(0.35-0.1)}\)
\(SSD=910.5\ ft\)
Hence, (a), The SSD will be 723.9 ft.
(b-1), The SSD will be 620.2 ft.
(b-2), The SSD will be \(723.91>SSD>620.2\)
(c), The SSD will be 910.5 ft.
a 1.2 kg pebble is stuck in a tread of a .76 m
Answer:
Fc=mv2/r v=√(Fcr/m) v=√[(3.6 N)(0.38 m)/(0.0012kg)] v=33.76388603 m/s v=38 m/s
Explanation:
A racecar goes around a 400m track in 58 seconds, what is the speed and velocity?
Answer:
v = 6.89 [m/s]
velocity = 0
Explanation:
To solve this problem we must use the definition of speed which is defined by the following expression of physics, such as the relationship between distance and time.
v = x/t
where:
v = speed [m/s]
x = distance = 400 [m]
t = time = 58 [s]
v = 400/58
v = 6.89 [m/s]
The velocity is a vector, since the racing car moves in circles IE its movement started where it ended, its velocity is zero.