The coefficient of friction between the crate and the truck that is required to keep the crate from sliding is 0.23
Explanation:The initial veocity of the truck, u = 13.6 m/s
The distance covered, s = 41.0 m
The driver applies the brakes and the truck is brought to a halt
The final velocity = 0 m/s
Calculate the deceleration by using the equation of motion below
\(\begin{gathered} v^2=u^2+2as \\ 0^2=13.6^2+2a(41) \\ 82a=-13.6^2 \\ 82a=-184.96 \\ a=-\frac{184.96}{82} \\ a=-2.26m/s^2 \end{gathered}\)Calculate the coefficient of friction using the relationship below
\(\begin{gathered} a=-\mu g \\ -2.26=-9.8\mu \\ \mu=-\frac{2.26}{-9.8} \\ \mu=0.23 \end{gathered}\)The coefficient of friction between the crate and the truck that is required to keep the crate from sliding is 0.23
Two particles, one with charge −7.97×10−6 C and the other with charge 6.91×10−6 C, are 0.0359 m apart. What is the magnitude of the force that one particle exerts on the other?
Answer:
-384.22N
Explanation:
From Coulomb's law;
F= Kq1q2/r^2
Where;
K= constant of Coulomb's law = 9 ×10^9 Nm^2C-2
q1 and q2 = magnitudes of the both charges
r= distance of separation
F= 9 ×10^9 × −7.97×10^−6 × 6.91×10^−6/(0.0359)^2
F= -495.65 × 10^-3/ 1.29 × 10^-3
F= -384.22N
This model shows DNA, chromosomes, and genes. If B is a cell and C is the nucleus, what is A?
Based on the information, we can infer that A. represents a Mitochondria.
What is a mitochondria?Mitochondria is a term to refer to the eukaryotic cell organelles responsible for supplying most of the energy necessary for cell activity through the process called cellular respiration.
Based on the information, we can infer that the element that is labeled with the letter A is a mitochondrion because its location is that of a mitochondrion. In this case, the mitochondria is red, although in other models it can be represented with another color. In general, it is given this shape and this color to distinguish it from other elements of the cell.
Note: This question is incomplete. Here is the complete information:
Attached image
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The Sun's energy comes from which nuclear reaction? O A. Two nuclei joining to form a larger nucleus OB. Two nuclei giving off alpha particles OC. A nucleus splitting to form two or more smaller nuclei D. A nucleus giving off a positron
Answer:
Nuclear Fusion reactions power the Sun and other stars. In a fusion reaction, two light nuclei merge to form a single heavier nucleus. The process releases energy because the total mass of the resulting single nucleus is less than the mass of the two original nuclei.
Explanation:
The sun's energy comes in the form of a nuclear reaction due to the Two nuclei joining to form a larger nucleus. Thus option A is correct.
What is nuclear fusion?A nuclear fusion is a reaction in which 2 or more atomic nuclei combine to form one or more atomic nuclei and is manifested by the release or the absorber of energy.
This is due to the differeces in the nuclear binding energy due to the force of nuclei before and after the reaction. The process releases energy as single declines less than the mass of the original nuclei.
Find out more information about the nuclear reaction.
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A baseball player is running at a constant velocity on a level field and tosses a baseball straight up. When the ball comes back down, it will land
Answer:
]
Explanation:
Calculate the volume of a parallelepiped with sides give as
a
=
(
7,2
,
4
)
,
b
=
(
4,7
,
6
)
and
c
=
(
3,4
,
7
)
Select one:
105
cubic units
125
cubic units
115
cubic units
135
cubic units
To calculate the volume of a parallelepiped given the sides, we can use the scalar triple product. The formula for the volume of a parallelepiped with sides a, b, and c is:
Volume = |a · (b × c)|
where · represents the dot product and × represents the cross product.
Using the given sides:
a = (7, 2, 4)
b = (4, 7, 6)
c = (3, 4, 7)
First, calculate the cross product of b and c:
b × c = (7*7 - 4*4, 6*3 - 7*7, 4*4 - 2*3)
= (49 - 16, 18 - 49, 16 - 6)
= (33, -31, 10)
Next, calculate the dot product of a and the cross product (b × c):
a · (b × c) = 7*33 + 2*(-31) + 4*10
= 231 - 62 + 40
= 209
Finally, take the absolute value of the result to obtain the volume:
Volume = |209| = 209 cubic units
Therefore, the correct answer is:
209 cubic units
as with the own-wage elasticity of demand for labor, the elasticity of supply of labor can be similarly classified. the elasticity of supply of labor is elastic if elasticity is greater than 1. it is inelastic if the elasticity is less than 1, and it is unitary elastic if the elasticity of supply equals 1. for each of the following occupations, calculate the elasticity of supply and state whether the supply of labor is elastic, inelastic, or unitary elastic. es and w are the original supply of workers and wage. and are the new supply of workers and wage.
The elasticity of supply of labor varies among occupations. The supply of labor is elastic for occupations (a) and (b) and inelastic for occupations (c).
The elasticity of the supply of labor is an important concept that measures the responsiveness of the quantity of labor supplied to changes in the wage rate. An occupation's supply of labor is said to be elastic if its elasticity is greater than 1, inelastic if the elasticity is less than 1, and unitary elastic if the elasticity of supply equals 1. Let's calculate the elasticity of supply for the following occupations and determine whether the supply of labor is elastic, inelastic, or unitary elastic.
a. %ΔES = 7, %ΔW = 3
The formula for the elasticity of supply is (% change in quantity supplied / % change in wage). Therefore, the elasticity of supply for this occupation would be:
Elasticity of supply = (7% / 3%) = 2.33
Since the elasticity of supply is greater than 1, the supply of labor is elastic.
b. ES = 120, W = $8
E’S = 90, W’ = $6
The formula for the elasticity of supply is ((% change in quantity supplied) / (% change in wage)). Therefore, the elasticity of supply for this occupation would be:
Elasticity of supply = ((90 - 120) / ((90 + 120) / 2)) / ((6 - 8) / ((6 + 8) / 2))
The elasticity of supply = (-30 / 105) / (-2 / 7)
Elasticity of supply = 2.00
Since the elasticity of supply is greater than 1, the supply of labor is elastic.
c. ES = 100, W = $5
E’S = 120, W’= $7
The formula for the elasticity of supply is ((% change in quantity supplied) / (% change in wage)). Therefore, the elasticity of supply for this occupation would be:
Elasticity of supply = ((120 - 100) / ((120 + 100) / 2)) / ((7 - 5) / ((7 + 5) / 2))
The elasticity of supply = (20 / 110) / (2 / 6)
Elasticity of supply = 0.81
Since the elasticity of supply is less than 1, the supply of labor is inelastic. The elasticity of supply is a critical concept in labor economics and helps us understand how changes in wage rates affect the quantity of labor supplied in different occupations.
Complete question:
As with the own-wage elasticity of demand for labor, the elasticity of supply of labor can be similarly classified. The elasticity of the supply of labor is elastic if the elasticity is greater than 1. It is inelastic if the elasticity is less than 1, and it is unitary elastic if the elasticity of supply equals 1. For each of the following occupations, calculate the elasticity of supply, and state whether the supply of labor is elastic, inelastic, or unitary elastic. E’s and W’ are the original supply of workers and wages. and are the new supply of workers and wages.
a %ΔES = 7, %ΔW = 3
b. ES = 120, W = $8
E’S = 90, W’ = $6
c. ES = 100, W = $5
E’S = 120, W’= $7
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4. Briefly outline how mechanical energy of the wind is transformed to electrical energy which is used in the form of electricity to power homes and businesses.
Wind energy is converted to electrical energy using a device called a wind turbine.
Wind turbines are typically composed of three main parts: the rotor blades, the rotor hub, and the nacelle.
Here's a brief outline of the process:
1. Wind hits the rotor blades, causing them to spin. The rotor blades are shaped like airfoils, similar to airplane wings, and are designed to maximize the amount of energy that can be extracted from the wind.
2. The rotor blades are connected to the rotor hub, which is in turn connected to a shaft. As the rotor blades spin, they turn the shaft, which rotates a generator in the nacelle.
3. The generator uses the rotational energy from the shaft to produce electrical energy. The electrical energy is typically in the form of alternating current (AC) electricity.
4. The AC electricity from the generator is sent through a transformer, which increases the voltage of the electricity to make it suitable for transmission over long distances.
5. The electricity is then sent through power lines to homes and businesses, where it can be used to power electrical devices and appliances.
6. After the electricity has been used, it returns to the power grid and may be reused or stored for later use.
Overall, this process allows for the mechanical energy of the wind to be transformed into electrical energy, which can then be used to power homes and businesses.
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When a body falls freely under gravity, then the work done by the gravity is ___________
Answer: positive
Explanation:
Gravity can be defined as the force with which the body is attracted towards the center of the earth, or towards any other body. If the force acting on the body is in the direction of displacement then the word done by the applicable force is positive. This causes the free fall of the ball under the influence of gravity is also positive.
options are 1183420 J730,575 J-452,845 J1183420 Ek730575 Ek-452,845452,845 J-730,575 J-118342p J
Given:
The initial speed of car is: u = 140 km/h = 140 × 5/18 m/s= 38.889 m/s
The final speed of the car is: v = 110 km/h = 110 × 5/18 m/s = 30.5556 m/s
The mass of the car is: m = 1565 kg
To find:
A) Initial kinetic energy of the car.
B) The final kinetic energy of the car.
C) Work done during the deceleration.
Explanation:
A) The initial kinetic energy of the car can be calculated as:
\(KE_i=\frac{1}{2}mu^2\)Substituting the values in the above equation, we get:
\(\begin{gathered} KE_i=\frac{1}{2}\times1565\text{ kg}\times(38.889\text{ m/s})^2 \\ \\ KE_i=1183417.27\text{ J} \end{gathered}\)The value of initial kinetic energy is very close to the value 1183420 J given in the options. Thus, the initial kinetic energy of the car is 1183420 J.
B) The final kinetic energy of the car can be calculated as:
\(KE_f=\frac{1}{2}mv^2\)Substituting the values in the above equations, we get:
\(\begin{gathered} KE_f=\frac{1}{2}\times1565\text{ kg}\times(30.5556\text{ m/s})^2 \\ \\ KE_f=730576.971\text{ J} \end{gathered}\)The value of final kinetic energy is very close to the value 730575 J given in the options. Thus, the final kinetic energy of the car is 730576 J.
C) The work done in the deceleration of the car is calculated by applying the work energy theorem. Thus, we get:
\(\begin{gathered} W=KE_f-KE_i \\ \\ W=730575\text{ J}-1183420\text{ J} \\ \\ W=-452845\text{ J} \end{gathered}\)The work done in the deceleration of the car is -452845 J. The work done is negative because the car is decelerating.
Final answer:
A) The initial kinetic energy of the car is 1183420 J.
B) The final kinetic energy of the car is 730575 J.
C) The work done in decelerating the car is -452845 J.
Relate the temperature of a gas to the kinetic energy of its particles.
Answer:
See the attachment above !!! Mark as brainliest ..!!
Calculate de speed of the wave
wavelength = 2.3 cm and frequency = 3.7 Hz
First we'll have to convert centimeter into meter.
\(\large\boxed{\bold{1 \: cm= 100 \: m}}\)
So we'll have to divide 2.3 cm by 100.
\(\frac{2.3}{100}\)
\(\bold{= 0.023 \: m}\)
Now, we can find the speed of the wave.\(\large \boxed{\bold{v= {f}{λ}}}\)
In this question all the values are given so we'll simply have to substitute and solve.
Let's solve!
To find the speed, we'll have to multiply the wavelength and frequency.
Substitute the values according to the formula.
\(v= 0.023\times 3.7\)
\(\large\boxed{\bold{v= 0.0851 \: m/s}}\)
Therefore, the speed of the given wave is 0.0851 m/s
Suppose the coefficient of static friction is 0.55 rather than 0.61. is the weight of the pail and sand necessary to start the pumpkin moving in this case greater than, less than or equal to 11 N? calculate the required weight.
The weight of the pail and sand necessary to start the pumpkin moving in this case is less than 11 N.
What is the force of friction acting the pumpkin?The force of friction acting on the pumpkin depends on the weight of the pumpkin and the coefficient of static friction.
F = μW
where;
μ is the coefficient of static frictionW is the weight of the pumpkinThe weight of the pumpkin is calculated as follows;
W = mg
where;
m is the mass of the pumpkin = 1.8 kgg is acceleration due to gravityW = 1.8 kg x 9.8 m/s²
W = 17.64 N
The static friction force preventing the pumpkin from moving is calculated as follows;
F = μW
F = 0.55 x 17.64 N
F = 9.7 N
Thus, the minimum force required to move the pumpkin is 9.7 N which is less than 11 N.
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The complete question is blow:
Suppose the coefficient of static friction is 0.55 rather than 0.61. is the weight of the pail and sand necessary to start the pumpkin moving in this case greater than, less than or equal to 11 N? calculate the required weight. mass of the pumpkin is 1.8 kg.
What are the most promising theoretical models for describing the strong force interactions between quarks and gluons within a proton and how do these models address the challenge of non-perturbative effects such as confinement and chiral symmetry breaking in Quantum Chromodynamics?
The models provide important tools for understanding the strong force interactions within a proton.
What is Quantum Chromodynamics?The strong force interactions between quarks and gluons within a proton are described by Quantum Chromodynamics (QCD), which is a fundamental theory of the strong nuclear force in particle physics. QCD is a non-Abelian gauge theory, meaning that the interactions between the quarks and gluons are highly nonlinear and non-perturbative.
What is Lattice QCD?One of the most promising theoretical models for describing the strong force interactions within a proton is lattice QCD, which is a numerical approach that uses a discrete grid to represent the space-time continuum. Lattice QCD allows for the calculation of QCD observables from first principles, without resorting to perturbative expansions. This method can handle non-perturbative effects such as confinement and chiral symmetry breaking by allowing for the simulation of the strong interactions on a discrete space-time grid
What is Effective Field Theory?Another promising model is effective field theory, which provides a way to describe the low-energy behavior of QCD by constructing an effective Lagrangian that contains only the degrees of freedom relevant to a particular energy scale. This allows for the calculation of QCD observables in a systematic expansion in powers of a small parameter, such as the ratio of the quark mass to the QCD energy scale.
What is Chiral perturbation theory?Chiral perturbation theory is another effective field theory that focuses on the dynamics of light quarks, which are the building blocks of pions, the lightest hadrons. Chiral perturbation theory provides a systematic expansion for the interactions between pions and nucleons, and can be used to calculate the properties of these particles at low energies.
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An object's mass times its velocity gives the object's __________.
speed
acceleration
power
momentum
the answer is momentum
Explanation:
We know that momentum is the product of mass and velocity so
An object's mass times its velocity gives the object's momentum
Hope it will help :)
The
principle which allows a rainbow to form is
Explanation:
A rainbow is a meteorological phenomenon that is caused by reflection, refraction and dispersion of light in water droplets resulting in a spectrum of light appearing in the sky. It takes the form of a multicoloured circular arc. Rainbows caused by sunlight always appear in the section of sky directly opposite the sun.
Hope it helps You °_°
A train brakes from 40
m/s to a stop over a
distance of 100m,what
is the acceleration of
the train?
Answer:
the acceleration of the train is - 8 m/s² since it is decelerating as the influence of the brake comes to stop
Explanation:
Tell me, Is universe created due to big bang???? Plz I want a bunch of para
Answer:
shreya Sister's answer is correct hope it's help you have a good day
Three balls, of mass m, 5m, and 3m, are at the vertices of an equilateral triangle with side lengths equal to L. What is the magnitude of the force on mass m from the two other masses, in terms of G, m, and L
Answer:
F_{total}= 8.25 \(\frac{G m^2}{L^2}\), θ’= 194º
Explanation:
To solve this problem we must use the law of universal gravitation and vectorly add the forces
F = \(G \frac{m_{1} m_{2} }{r^{2} }\)
Let us call the mass m with the subscript 1, the mass 3m with the subscript 3 and the mass 5m with the subscript 5, the total force on particle 1 is
F_total = F₁₅ + F₁₃
The bold are vectors, in the attachment we can see a diagram of the angles and the forces, the distance between the masses is
r = L
let's find the force between m1 and m5
F₁₅ = G m₁ m₅ / r²
F₁₅ = G m 5m / L²
F₁₅ = G 5m² / L²
this force is on the line that joins the two masses, let's use trigonometry to decompose this force
cos 30 = F₁₅ₓ / F₁₅
sin 30 = \(\frac{Fx_{15y} }{F_{15} }\)
F₁₅ₓ = F₁₅ cos 30
\(F_{15y}\) = F₁₅ sin 30
equally with the force between mass 1 and mass 3
F₁₃ = -G 3 m² / L²
F₁₃ₓ = F₁₃ cos 30
F_{13y} = F₁₃ sin 30
to find the total force we can add each component independently, see attached
X axis
F_total x = -F₁₅ₓ + F₁₃ₓ
F_total x = -G 5m2 / L² + G 3m² / L²
F_total x = - G 2m² / L²
Y axis
F_total y = - F_{15y} - F_{13y}
F_total y = - G 5m² / L² - G 3 m² / L²
F_toal y = - G 8 m² / L²
We can give the result in two ways
1) F_total = - G m ^ 2 / L² (2 i ^ + 8 j ^)
2) in the form of module and angle.
Let's use the Pythagorean theorem
\(F_{total}^{2} = F_{total x}^{2} + F_{total y}^2\)
\(F_{total}\) = \(\frac{G m^{2} }{L^2} \sqrt{(2^2 + 8^2)}\)
F_{total}= 8.25 \(\frac{G m^2}{L^2}\)
with trigonometry
tan θ = \(\frac{F_{total y} }{F_{total x} }\)
tan θ = 8/2
θ = tan⁻¹ 4
θ = 76º
if we measure this angle from the positive side of the x axis in a counterclockwise direction
θ’= 270 -76
θ’= 194º
A mass is oscillating on a frictionless surface at the end of a horizontal spring. Where, if anywhere, is the acceleration of the mass zero.a. At x = -Ab. At x = 0c. At x = +Ad. at both x = -A and x = +Ae. nowhere
If mass is oscillating on a frictionless surface at the end of a horizontal spring, then option B states that the acceleration of the mass is zero at x=0 everywhere.
What is acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. The rate at which velocity changes is called acceleration. Acceleration typically indicates a change in speed, but not always. An object that follows a circular path while maintaining a constant speed is still moving forward because the direction of its velocity is shifting. A point or object moving straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is constantly shifting.
Here,
When mass is oscillating on a frictionless surface at the end of a horizontal spring, the acceleration of the mass is zero at x=0, which is option B.
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A third wire of the same material has the same length and twice the diameter as the first. How far will it be stretched by the same force
Complete question is;
A force stretches a wire by 0.60 mm. A second wire of the same material has the same cross section and twice the length.
a) How far will it be stretched by the same force?
b) A third wire of the same material has the same length and twice the diameter as the first. How far will it be stretched by the same force?
Answer:
0.15 mm
Explanation:
According to Hooke's Law,
E = Stress(σ)/Strain(ε)
Where E is youngs modulus
Formula for stress is;
Stress(σ) = Force(F)/Area(A)
Formula for strain is;
Strain(ε) = Change in length/original length = (Lf - Li)/Li
We are also told that a second wire of the same material has the same cross section and twice the length.
Thus;
Rearranging Hooke's Law to get the constants on one side, we have;
F/(AE) = ε
Thus from the conditions given;
ε1 = 0.6/Li
ε2 = (Change in length)/(2*Li)
And ε1 = ε2
Thus;
0.6/Li = Change in length/(2*Li)
Li will cancel out and we now have;
Change in length = 2 × 0.6 = 1.2 mm
Finally, we are told A third wire of the same material has the same length and twice the diameter as the first.
Area of a circle;A1 = πd²/4
Now, we are told d is doubled.
Thus, new area of the new circle is;
A2 = π(2d)²/4 = πd²
Rearranging Hooke's Law,we have;
F/A = εE
Since F and E are now constants, we have;
F/E = constant = Aε
Thus;
A1(ε1) = A2(ε2)
A1 = πd²/4
e1 = 0.60/Li
A2 = πd²
e2 = Change in length/Li
Thus;
((πd²/4) × 0.6)/Li = (πd² × Change in length)/ Li
Rearranging, Li and πd² will cancel out to give;
0.6/4 = Change in length
Change in length = 0.15 mm
Sierra lives in a southwestern town in a valley where air pollutants sometimes settle. The mountains that surround the town keep air pollution from blowing away. Sometimes Sierra can actually see the pollution in the air. Which choice is NOT a source of outdoor air pollution?
The following is not a source of outdoor air pollution : D) Household cleaning products.
What is meant by the outdoor air pollution?Presence of one or more substances in air at concentration or for a duration above the natural level is called air pollution.
Outdoor air pollution refers to pollutants that are released into the atmosphere by sources outside of buildings or structures. The sources of outdoor air pollution can be natural or human-made. Some examples of sources of outdoor air pollution are:
A) Exhaust from cars and trucks
B) Smoke from factories and power plants
C) Pollen from trees and plants
D) Solid fuel burning
E) Forest fires
Therefore, the correct option is D) Household cleaning products.
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Note: The question given on the portal is incomplete. Here is the complete question.
Question: Sierra lives in a southwestern town in a valley where air pollutants sometimes settle. The mountains that surround the town keep air pollution from blowing away. Sometimes Sierra can actually see the pollution in the air. Which choice is NOT a source of outdoor air pollution?
A) Exhaust from cars and trucks
B) Smoke from factories and power plants
C) Pollen from trees and plants
D) Household cleaning products.
A bar has a 20 N weight at one end, as shown in Figure 7.22. You have a weight of 15 N to hang somewhere on the bar so that the bar is in equilibrium. Where would you hang the 15 N weight on each of these bars? Consider the bar to have no mass.
The weight of 15N should be hung at a distance of 4/3 units from the fulcrum, on the opposite side of the bar to a weight of 20N.
The fulcrum is attained equilibrium when the principle of moments is equal to zero. The principle of momentum is defined as the body is said to be balanced when the clockwise movement about the point is equal to the anticlockwise movement about the same point.
When a weight of 15N is hung on the bar, it produces an anticlockwise movement with the same magnitude, opposes the clockwise moment produced by the weight of 20N on the fulcrum.
To find the distance (d) at which the 15N weight should be hung, the distance from the 20N weight to the fulcrum is 1 unit.
20×1 = 15×d
d = 20/15
=4/3 m
Thus, the weight of 15N should be hung by the distance of 4/3 units from the fulcrum, on the opposite side of the bar having the weight of 20N, to make the fulcrum to be at equilibrium.
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If the length of the rod is 2.65 m, and the mass of the bob and the rod are both 1.4 kg, what is the period of this pendulum
Answer:
T = 5.66 s
Explanation:
The system formed by the bar plus ball forms a physical pendulum
w = \(\sqrt{mgd/I}\)
the moment of inertia of a rod held at one end is
I = \(\frac{1}{3}\) m L²
we substitute
w = \(\sqrt{\frac{d \ d}{ 3 L^2 } }\)
in this case the turning distance and the length of the rod are equal
d = L
w = \(\sqrt{\frac{g}{3L} }\)
angular velocity and period are related
w = 2π / T
2π / T = \(\sqrt{\frac{g}{3L} }\)
T = 2π \(\sqrt{3L/g}\)
let's calculate
T = 2π \(\sqrt{3 \ 2.65 / 9.8}\)
T = 5.66 s
A rider on a bike with the combined mass of 100kgattains aterminal speed of 15m/son a 12% slope. Assuming that the only forces affecting thespeed are the weight and the drag, calculate the drag coefficient. The frontal area is0.9m2.
Answer:
C_d = 0.942
Explanation:
Let's first calculate the angle of inclination.
Formula is;
tan θ = (%slope)
% Slope is given as 12%
Thus;
θ = tan^(-1) (12/100)
θ = 6.843°
Let's now calculate the force due to the weight of the rider and bike combined from;
F = mg sin θ
We are given; m = 100 kg.
Thus;
F = 100 × 9.81 × sin 6.843
F = 116.885 N
The drag force will also be the same as the force due to the weight of the body. Thus;
Drag force; F = C_d(½ρu²A)
Where;
C_d is drag coefficient
ρ is density
U is terminal speed
A is area
We are given;
A = 0.9 m²
U = 15 m/s
From online tables, density of air is approximately 1.225 kg/m³
Thus;
116.885 = C_d(½ × 1.225 × 15² × 0.9)
116.885 = 124.03125C_d
C_d = 116.885/124.03125
C_d = 0.942
What feature of the sun is a section that is cooler than its surroundings
Answer:
sunspots looking dark
Two identical 0.25 kg balls are involved in a head-on collision. Ball A is initially travelling at 3.5 m/s, and ball B is initally at rest. Determine the velocity of each ball after the collision.
Answer:
a) mv(final):<0,0,0> minus mv(initial):<25,0,0> = <-25,0,0>
b) mv(final):<25,0,0> minus mv(initial):<0,0,0> = <25,0,0>
c) conservation of momentum makes it <0,0,0>
for a-b-c, momentum_system + momentum_surroundings = 0
Explanation:
Hope this helps
The velocity of each ball after the collision is 1.75 m/s
Law of conservation of momentum states that:
Total momentum before collision = Total momentum after collision
m₁u₁ + m₂u₂ = (m₁ + m₂)v
Where m₁, m₂ is the mass of object, u₁, u₂ is the initial velocity before collision and v is the final velocity after collision
Given that: m₁ = m₂ = 0.25 kg, u₁ = 3.5 m/s, u₂ = 0, hence:
0.25(3.5) + 0.25(0) = (0.25 + 0.25)v
v = 1.75 m/s
The velocity of each ball after the collision is 1.75 m/s
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An intrepid hiker reaches a large crevasse in his hiking route. He sees a nice landing ledge 60.0 cm below his position but it is across a 2.3 m gap. He spends 1.2 s accelerating horizontally at 5.92 m/s2 [right] in an attempt to launch himself to the safe landing on the far side of the gap. Does he make it?
The hiker made it to a safe landing on the other side of the gap after travelling horizontally at 2.49 m.
What is the time motion from the vertical height?
The time taken for the hiker to fall from the given height is calculated as follows;
h = vt + ¹/₂gt²
where;
v is the vertical velocity = 0t is the time of motiong is acceleration due to gravityh is the height of fallh = ¹/₂gt²
t = √(2h/g)
t = √[(2 x 0.6) / (9.8)]
t = 0.35 seconds
The horizontal velocity of the hiker during the period of acceleration is calculated as follows;
Vₓ = at
Vₓ = (5.92 m/s²) x (1.2 s)
Vₓ = 7.104 m/s
The horizontal distance travelled during the time period of 0.35 seconds;
X = Vₓt
X = 7.104 x 0.35
X = 2.49 m
Thus, the hiker made it to a safe landing on the other side of the gap which is 2.3 m wide and smaller to his horizontal displacement of 2.49 m.
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A student wants to determine the local value of the gravitational field strength, g , in their classroom. Which of the following experimental set-ups would allow a student to calculate the magnitude of the gravitational field strength using only the quantities measured?
Select TWO answers.
A: Run a lab cart down an inclined plane; measure the length of the ramp and the time it takes the cart to reach the bottom.
B: Hang a known mass from a spring scale; measure the spring scale reading when the mass is at rest.
C: Accelerate a lab cart horizontally; measure the mass of the cart and its acceleration.
D: Drop a heavy metal ball; measure the drop height and the time it takes the ball to hit the ground.
Answer:
Most likely (B)
Explanation:
B in the passage is the most representative out of all your choices and it has evidence from the passage
Hope dis helps Jit!
Sorry i forgot to type C
B and C both measure mass while the others are calculations and are bias
The following experimental set-ups would allow a student to calculate the magnitude of the gravitational field strength using only the quantities measured:
Hang a known mass from a spring scale; measure the spring scale reading when the mass is at rest.Drop a heavy metal ball; measure the drop height and the time it takes the ball to hit the ground.What is gravitational field?A gravitational field is a model used in physics to explain the effects that a large thing has on the area surrounding it, exerting a force on smaller, less massive bodies.
When a known mass from a spring scale is hung; by e; measuring the spring scale reading when the mass is at rest, the magnitude of the gravitational field strength ( reading/mass) can be calculated.
When a heavy metal ball is dropped, by measuring e the drop height and the time it takes the ball to hit the ground, the magnitude of the gravitational field strength ( h = gt²/2) can be calculated. Hence, option (B) and option (D) is correct.
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Describe how water can be both physical and chemical weathering.
Explanation:
Both because water can fall in holes and then freeze. However, water can also be chemically react with other elements and substances to wear something away.
A uniform brick of length 18 m is placed
over the edge of a horizontal surface with a
maximum overhang of 9 m attained without
tipping.
Now two identical uniform bricks of length
18 m are stacked over the edge of a horizontal
surface.
What maximum overhang is possible for
the two bricks (without tipping)?
Answer in units of m.
We have that the overhang possible for the two bricks are is mathematically given as
x=13.5m
Length of Overhang
Question Parameters:
A uniform brick of length 18 m
a maximum overhang of 9 m attained
Length 18 m are stacked over the edge of a horizontal
surface.
Generally the equation that balances the moment is mathematically given as
\(mg*(x-l/2)=mg(L-x)\\\\2x=3l/l\\\\x=3l/4\\\\x=3/4*18\\\\\)
x=13.5m
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