Answer:
a. 0.947 m/s^2
b. 1304.54 N
c. 0.0966
Explanation:
mass of car = 13500 N = 13500/9.8 = 1377.55 kg
velocity = 50 km/h = 50,000 m/h = 13.9 m/s
raidus = 204 m
a. centripetal acceleartion = v^2/r = 13.9^2/204 = 0.947 m/s^2
b. centripetal force = m*centripetal acceleration = 1377.55 * 0.947 = 1304.54 N
c. In order for the car to round the curve safely, static friction = centripetal force
static friction = coefficient of friction (mu) * mg = mu* 1377.55*9.8 = 13500mu
13500mu = 1304.54
mu = 1304.54/13500 = 0.0966
The acceleration, force and coefficient of friction is required.
Centripetal acceleration is [tex]0.965\ \text{m/s}^2[/tex]
Centripetal force is [tex]1328\ \text{N}[/tex]
Coefficient of friction is [tex]0.1[/tex]
N = Weight of car = 13500 N
v = Velocity = [tex]50=\dfrac{50}{3.6}=13.89\ \text{m/s}[/tex]
r = Radius = [tex]2\times 10^2\ \text{m}[/tex]
m = Mass of car = [tex]\dfrac{N}{g}[/tex]
g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]
Centripetal acceleration is
[tex]a_c=\dfrac{v^2}{r}\\\Rightarrow a_c=\dfrac{13.89^2}{2\times 10^2}\\\Rightarrow a_c=0.965\ \text{m/s}^2[/tex]
Force is given by
[tex]F_c=ma_c\\\Rightarrow F_c=\dfrac{N}{g}a_c\\\Rightarrow F_c=\dfrac{13500}{9.81}\times 0.965\\\Rightarrow F_c=1328\ \text{N}[/tex]
Coefficient of friction is given by
[tex]\mu=\dfrac{F_c}{N}\\\Rightarrow \mu=\dfrac{1328}{13500}\\\Rightarrow \mu=0.098\approx 0.1[/tex]
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Which person below is likely to have better health?
A. Jenna, who is optimistic about life
B. Albert, who thinks that events in his life are not in his control
C. Peter, who is depressed
D. Claire, who blames everyone else for her circumstances
SUBMIT
Jenna, who is optimistic about life, is likely to have better health. Hence, option (A) is correct.
What is mental health?Mental health affects cognition, perception, and behavior and includes emotional, psychological, and social well-being. It also affects how someone responds to stress, interacts with others, and makes decisions.
Subjective well-being, perceived self-efficacy, autonomy, competence, generational reliance, and self-actualization of one's intellectual and emotional potential are only a few examples of what is considered to be mental health.
The ability to enjoy life and strike a balance between daily activities and endeavors to develop psychological resilience may be considered a sign of mental health from the viewpoints of positive psychology or holistic approaches.
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If water is flowing in a 1-inch diameter pipe with an average velocity of 3 m/s and the wall roughness is 400 microns, calculate the wall shear stress.
Answer:
Shear stress is 50.63 Pascal
Explanation:
As we know shear stress = [tex]\frac{\rho V^2 f}{8} \\[/tex]
Rho is the density
V is the velocity
f is the value from Moody's chart
We will know determine Reynolds number to determine the flow type and then the f value
[tex]R_e = \frac{ \rho*V*D}{u}[/tex]
[tex]R_e = \frac{1000*3*0.0254}{0.001} = 76200[/tex]
This is a turbulent flow and hence the roughness index is [tex]\frac{E}{D} = 0.0157[/tex], From this we get f = 0.045
Now shear stress = [tex]\frac{1000 * 3^2 * 0.045}{8} = 50.63[/tex] Pa
A cyclist travels 21 km in 90 minutes. Calculate, in m s–1 , the speed of the cyclist.
Answer:
35/9 m/s
Explanation:
21 km = 21000 m
90 min = 90*60 s = 5400 s
21000/5400 = 35/9 m/s
Which human activity causes the most erosion?
А
building a bridge over a river
B
cutting down trees for lumber
С
building a dam in a stream
D
planting crops in a field
Answer:
B
Explanation:
1.45 L of 16°C water is placed in a refrigerator. The refrigerator's motor must supply an extra 10.7 W power to chill the water to 6°C in 0.7 hr. What is the refrigerator's coefficient of performance?
Answer:
The coefficient of performance of the refrigerator is 2.251.
Explanation:
In this case, the coefficient of performance of the refrigerator ([tex]COP[/tex]), no unit, is equal to the ratio of the heat rate received from the water to the power needed to work, that is:
[tex]COP = \frac{\dot Q_{L}}{\dot W}[/tex] (1)
[tex]COP = \frac{\rho\cdot V\cdot c_{w}\cdot \Delta T}{\dot W \cdot \Delta t}[/tex] (2)
Where:
[tex]\dot Q_{L}[/tex] - Heat rate received from the water, in watts.
[tex]\dot W[/tex] - Power, in watts.
[tex]\rho[/tex] - Density of water, in kilograms per cubic meter.
[tex]V[/tex] - Volume of water, in cubic meters.
[tex]c_{w}[/tex] - Specific heat of water, in joules per kilogram-degree Celsius.
[tex]\Delta T[/tex] - Temperature change, in degrees Celsius.
[tex]\Delta t[/tex] - Cooling time, in seconds.
If we know that [tex]\rho = 1000\,\frac{kg}{m^{3}}[/tex], [tex]V = 1.45\times 10^{-3}\,m^{3}[/tex], [tex]c_{w} = 4187\,\frac{J}{kg\cdot ^{ \circ}C}[/tex], [tex]\Delta T = 10\,^{\circ}C[/tex], [tex]\dot W = 10.7\,W[/tex] and [tex]\Delta t = 2520\,s[/tex], then the coefficient of refrigeration of the refrigerator is:
[tex]COP = \frac{\rho\cdot V\cdot c_{w}\cdot \Delta T}{\dot W \cdot \Delta t}[/tex]
[tex]COP = 2.251[/tex]
The coefficient of performance of the refrigerator is 2.251.
Two point charges, Q1 = -1.0 PC and Q2 = +3.0 PC, are placed as shown in the diagram.
What is the vertical component of the electric field at the origin? Let the constant k = 9.0 x
109Nm²/C2
2.2 m
2.1 m Q1
O A zero
O B. -2100 N/C
O
C. 2100 N/C
o D. -8900 N/C
E. 8900 N/C
NEED ANSWER NOW
NO LINK
If the current of a circuit is 1.5 A, and the power is 24 W. what is the resistor?
Answer:
The resistor has a resistance of 10.667 ohms.
Explanation:
By Ohm's Law, voltage ([tex]V[/tex]), in volts, is directly proportional to the current ([tex]i[/tex]), in amperes, and by definition of power ([tex]\dot W[/tex]), in watts, we have the following formula:
[tex]\dot W = i^{2}\cdot R[/tex] (1)
Where [tex]R[/tex] is the resistance, in ohms.
If we know that [tex]\dot W = 24\,W[/tex] and [tex]i = 1.5\,A[/tex], then the resistance of the resistor is:
[tex]R = \frac{\dot W}{i^{2}}[/tex]
[tex]R = 10.667\,\Omega[/tex]
The resistor has a resistance of 10.667 ohms.
Why is the magnetic force considered to be an action datance force
A Magnets in de bo exert a force
B. Magnets do not have to touch each other to experience a force.
C. Magnets push each other apan to increase the distance between them.
D Magnets mast be large in sire in onder to eden a force that is strong enough to notice
A car and a semi-truck are both traveling along a road. Based on Newton's 2nd law, what will happen if both cars apply the same type of brakes at the same time?
Answer: ask god in your prayers
Explanation: im here for the same reason you are
I DONT KNOW THE ANSWER
Answer:
The semi-truck will stop after the car.
Explanation:
It will do that because the semi-truck has more mass than the car.
WILL MAKE BRAINLIEST! How does Hooke’s law help us understand the force and energy in elastic materials?
Answer:
How does Hooke’s law help us understand the force and energy in elastic materials?:
When the elastic materials are stretched, the atoms and molecules deform until stress is been applied and when the stress is removed they return to their initial state
Explanation:
Atmospheric pressure on the peak of Mt. Everest can be as low as 0.197 atm, which is why
climbers need to bring oxygen tanks for the last part of the climb. If the climbers carry 10.0
liter tanks with an internal gas pressure of 40 atm, what will be the volume in liters of the gas
when it is released from the tanks?
Answer:2,030
Explanation:
40 atm x 10.0 L = 400
400/0.197 atm = 2,030
HELP pleaseee which nucleus completes the following equation?
Answer:
its D
Explanation:
i just got it correct on a. p. e. x. :)
A car travels 140 miles in 3 hours. What is its velocity?
Answer:
46.67 miles/s
Explanation:
...........
how long would it take a leopard, running at an average speed of 20 m/s to travel 500 m?
Answer:
25 seconds
Explanation:
500/20
Which of the following are the two factors used to calculate average
speed? *
a. total acceleration and total time
b. velocity and time
c. total distance and total time
d. motion and time
Answer:
i think its its c but im not positive :>
Explanation:
The _____________ variable is observed, measured, and affected by the independent variable.
Answer: It would be the dependent variable.
Explanation:
The dependent variable is limited and can be affected by the changes and manipulation of the independent variable.
Show that liquid pressure is directly
proportional to height of liquid in a vessel.
Answer:
P=F/A where F is the weight of the water and A is the area on which it is resting. The weight of the water is mg. The mass of the water is dv where d is the density and v is the volume. Finally, the volume of the water in a vessel is equal to the area of the base of the vessel times the height of the vessel. (v=Ah)
Plugging everything in we get:
P = dAhg/A
So
P=dhg
So we have shown that liquid pressure is directly proportional to height of liquid in a vessel.
A 5000kg elephant steps into a large spring and compresses it from 1m long to 50cm long what is the spring constant of the spring
Answer: 98 kN/m
Explanation:
Given
Mass of elephant [tex]m=5000\ kg[/tex]
Spring compresses from [tex]1\ m\ (100\ cm) \text{to}\ 50\ cm[/tex]
i.e. change in length is [tex]100-50=50\ cm[/tex]
spring force is given by [tex]kx[/tex]
where k=spring constant
x=change in length
The weight of elephant must be equal to the spring force
[tex]\Rightarrow W=kx\\\Rightarrow 5000\times 9.8=k\times 0.5\\\Rightarrow k=98,000\ N/m\ or\ 98\ kN/m[/tex]
I’ll mark brainliest
When you look into your bathroom mirror, are you upside down
(inverted) or right side up (upright)?
Is this a real or virtual image?
Why?
What is the focal length of a bathroom (flat) mirror?
Answer:
When the image distance is positive, the image is on the same side of the mirror as the object, and it is real and inverted. When the image distance is negative, the image is behind the mirror, so the image is virtual and upright.
Explanation:
Do you think the plan for the skyscraper in California is appropriate based on its location? Why or why not? Your answer should include at least three complete sentences. (plz write out answer) (this is about earth quakes)
Answer:
No
Explanation:
No because like my other answer if we put to many diesels on it it will crack and little by little it will break eventually everyone will come tumbling into the water making them drown because they can't get the buckles loose or they wanted to save their families lives
Only the healthy foods we eat provide
energy to our body
true
false
Answer:
True
Explanation:
Yes absolutely the food which provede us energy is termed as healthy..
The left end of a spring is attached to a wall. When Bob pulls on the right end with a 200 N force, he stretches the spring by 20 cm. The same spring is then used for a tug-of-war between Bob and Carlos. Each pulls on his end of the spring with a 200 N force. How far does the spring stretch
Answer:
40 cm
Explanation:
Since Bob pulls with a force of F = 200 N when the spring is attached to the wall and it extends a length x = 20 cm, from Hooke's law,
F = kx where k = spring constant
So, k = F/x = 200 N/20 cm = 10 N/cm
Now, sine both Bob and Carlos pull with a force of F = 200 N in opposite directions, the spring stretches about its center and has an extension, x' in each direction.
So, from F = kx
x = F/k = 200 N/10 N/cm = 20 cm
So, the spring stretches 20 cm in both directions.
So, the total extension is thus x' + x' = 2x' = 2(20 cm) = 40 cm
The spring will stretch 40 cm.When a force is act om the spring the spring will stretch or compress depeds on the application of force.
What is hooke's law?Hooke's law states that the force used to extend the spring is directly equal to the amount of stretch.
The force needed to extend the spring is proportional to its displacement. It is stated as
F=Kx
The given data in the problem is;
F is the force of pull to bob= 200 N
x is the length of extension= 20 cm.
F' is the force act on the another end= 200 N
According to Hooke's law,
[tex]\rm F = Kx \\\\ \rm K= \frac{F}{x} \\\\ \rm K= \frac{200}{20} \\\\ \rm K=10 \ N/cm[/tex]
The extension due to another end force is found by;
[tex]\rm x' = \frac{F}{K} \\\\ \rm x' = \frac{200}{10} \\\\ \rm x' = 20[/tex]
The total extension of the spring will be;
[tex]\rm x_t = x+x' \\\\ \rm x_t = 2(20) \\\\ \rm x_t =40\ cm[/tex]
Hence the spring will stretch 40 cm.
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At high elevations or high latitudes, some of the water that falls on land does not immediately soak in , run off, evaporate or transpire. where is the water being temporarily stored?
Answer:
The water is stored in ice sheets and as snow
Explanation:
Temperature reduces with an increase in altitudes. The standard laps rate is 6.5°C per 1,000 m gained in elevation
At very high elevations, therefore, the air is usually very cold such that when an elevation of 4,500 meters is reached at the equator, it is possible to observe snowfall and the water remain temporarily stored on the surface of the mountain as ice and snow
Kamal, Kamala, Krishna invert a sum of RS= 30,000 on a business in the ratio 2 : 3 : 5. Find the each of their investment.
Answer:
Explanation:
Kamal, Kamala, Krishna invert in the ratio 2 : 3 : 5.
As 2+3+5 =10, their respective share is 2/10, 3/10 and 5/10.
Sum of investment = 30000Rs
Kamal's investment = 30000 * 2/10 = 6,000 Rs
Kamala's investment = 30000 * 3/10 = 9,000 Rs
Krishna's investment = 30000 * 5/10 = 15,000 Rs
What is the power of a stereo that has an intensity of 3.5X105 W/m2 at a distance of 12.4 m
Imagine you leave the dock on a fishing boat that travels east for 30 kilometers when the captain realizes he left the fishing rods on the dock. It takes him 40 minutes to travel out against the current but only 20 minutes to return to the dock.
Answer:
Average speed is 60 km/hr whereas average velocity is 0 km/ hr.
Explanation:
The average speed of the boat is 60 km/ hr while on the other hand, the average velocity of the boat is 0 km/ hr because average speed is the total distance covered by the boat in total time and average velocity is the displacement covered by the boat in total time. The total distance covered by the boat is 60 km and the total time is 60 minutes which is equals to one hour so the answer is 60 km/hr whereas the displacement is the shortest distance between initial and final position which is 0 in this case so 0 divided by 60 minutes or one hour is also 0.
PLSS HELPP
Are humans evolving? What will humans look like in 100,000 years in the future or longer?
Answer:
yes
Explanation:
What is the relationship between large amplitude waves and small amplitude waves?
A Both waves have variable energy.
B Large amplitude waves have more energy than small amplitude waves.
C Large amplitude waves have less matter than small amplitude waves.
D Both waves have constant matter.
Answer:
c.large amplitude waves have less matter than small amplitude waves
how to spot homogeneous and heterogeneous mixtures
An outside thermometer reads 57°F. What is this temperature in °C? Round your answer to the nearest whole number. 14 49 71 135
Answer:
An outside thermometer reads 57°F. What is this temperature in °C? Round your answer to the nearest whole number.
14
49
71
135
answer is A:14
Explanation:
The temperature of the thermometer which reads 57 °F in degree celsius (°C) to the nearest whole number is 14 °C
Conversion formulaWe can convert from degree celsius (°C) to degree Fahrenheit (°F) with the following equation
°C = 5/9(°F – 32)
How to determine the temperature in degree celsius (°C) Temperature (°F) = 57 °FTemperature (°C) =?°C = 5/9(°F – 32)
°C = 5/9(57 – 32)
°C = 5/9 × 25
°C = 14 °C
Thus, the temperature in degree celsius (°C) of the thermometer is 14 °C
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