Answer:
a) The centripetal acceleration of the car is 0.68 m/s²
b) The force that maintains circular motion is 940.03 N.
c) The minimum coefficient of static friction between the tires and the road is 0.069.
Explanation:
a) The centripetal acceleration of the car can be found using the following equation:
[tex] a_{c} = \frac{v^{2}}{r} [/tex]
Where:
v: is the velocity of the car = 51.1 km/h
r: is the radius = 2.95x10² m
[tex] a_{c} = \frac{(51.1 \frac{km}{h}*\frac{1000 m}{1 km}*\frac{1 h}{3600 s})^{2}}{2.95 \cdot 10^{2} m} = 0.68 m/s^{2} [/tex]
Hence, the centripetal acceleration of the car is 0.68 m/s².
b) The force that maintains circular motion is the centripetal force:
[tex] F_{c} = ma_{c} [/tex]
Where:
m: is the mass of the car
The mass is given by:
[tex] P = m*g [/tex]
Where P is the weight of the car = 13561 N
[tex] m = \frac{P}{g} = \frac{13561 N}{9.81 m/s^{2}} = 1382.4 kg [/tex]
Now, the centripetal force is:
[tex] F_{c} = ma_{c} = 1382.4 kg*0.68 m/s^{2} = 940.03 N [/tex]
Then, the force that maintains circular motion is 940.03 N.
c) Since the centripetal force is equal to the coefficient of static friction, this can be calculated as follows:
[tex] F_{c} = F_{\mu} [/tex]
[tex] F_{c} = \mu N = \mu P [/tex]
[tex] \mu = \frac{F_{c}}{P} = \frac{940.03 N}{13561 N} = 0.069 [/tex]
Therefore, the minimum coefficient of static friction between the tires and the road is 0.069.
I hope it helps you!
You apply a 325 N force to a heavy crate with a rope that makes a 29.0° angle with the horizontal, if you pull the crate a distance of 5.37 m, how much work was done by you?
Answer:
W = 1526.43 J
Explanation:
Given that,
Force acting on a heavy crate, F = 325 N
The rope will make 29.0° angle with the horizontal
The distance covered by the crate, d = 5.37 m
We need to find the work done by the crate. The work done by an object is given by :
[tex]W=Fd\cos\theta\\\\=325 \times 5.37\times \cos29\\\\=1526.43\ J[/tex]
So, the required work done is 1526.43 J.
6. You are holding a rock with a mass of 0.30 kg. You let the rock drop from your hand. It hits the ground 0.75
seconds later. How fast was the rock moving right before it hit the ground? For credit, show work in detail.
Answer:
v = 14.7m/s
Explanation:
When the rock was at the top of cliff it had only Potential Energy and no Kinetic Energy but soon as the rock hit the ground all the Potential Energy converted into Kinetic Energy so by the Law of Conservation of Energy
[tex]Potential\ Energy = Kinetic\ Energy\\mgh=\frac{1}{2}mv^2\\\\v^2=\frac{2mgh}{m} \\\\v^2=2gh[/tex]
because all of that potential energy got converted into kinetic energy so we use the following formula as we need to calculate the velocity (v)
[tex]Potential\ Energy = Kinetic\ Energy\\mgh=\frac{1}{2}mv^2\\\\v^2=\frac{2mgh}{m} \\\\v^2=2gh[/tex]
here we know [tex]g = 9.8m/s^2[/tex] because the rock was under free fall motion so it had acceleration of 9.8 but we do not the height which is h but we do know the formula:
[tex]Velocity=\frac{Displacement}{Time}[/tex]
the height h is the displacement so we replace height with the following:
[tex]Velocity=\frac{Displacement}{Time}\\\\Displacement=Velocity*Time\\h=vt[/tex]
now, insert h = vt in the above equation
[tex]v^2=2gh\\\\v^2=2g(vt)\\v^2=2vgt\\\\\frac{v^2}{v} =2gt\\\\v=2gt\\v=2(9.8)(0.75)\\v=14.7m/s[/tex]
A bike is traveling at a speed of 15 m/s. The mass of the bike is 30 kg. What is the kinetic
energy of the bike?
Answer:
3375 JExplanation:
The kinetic energy of an object can be found by using the formula
[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]
m is the mass
v is the velocity
From the question we have
[tex]k = \frac{1}{2} \times 30 \times {15}^{2} \\ = 15 \times {15}^{2} \\ = {15}^{3} \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
3375 JHope this helps you
any three different between of rarefaction and compression
Answer:
credits to the real owner of the answer I just found it here
Which does not decrease your chances of being injured
A Warmup
B Overload
C Exercise
D Cooldown
Please answer the circled questions, I will give you brainliest
Answer:
yo so if nobody helps ill gladly take the brainliest
Explanation:
Two kids are playing tag. The first kid is running at an unknown speed chasing the other. The first kid has a mass of 25 kg and a KE of 450 J.
How fast is the first kid running?
I really need help
Answer:
1mph
Explanation:
The ______________ is a very strong north westerly air current encircling the Earth causing the cold fronts to come down into the United States during the winter. *
10 points
sea breeze
land breeze
climate
weather
ocean current
conduction
Gulf Stream
Jet Stream
hurricane
wind*
Answer: it's wind
Explanation:
Imagine a 0.2 kg ball moving at 5 m/s colliding with a 0.3 kg ball moving at 2 m/s in the same direction. After the collision the 0.2 kg green ball stops moving and the 0.3 kg purple ball continues moving in the same direction.
Answer:
[tex]m1v1 + m2v2 = m1v3 + m2v4[/tex]
[tex](0.2 x 5) + (0.3 x 2) = (0.2 x 0) + (0.3 x v4)[/tex]
[tex]1.0 + 0.6 = 0 + 0.3v4, 0.3v4 = 1.6[/tex]
[tex]v4 = 1.6/0.3 = 5.3 m/s (2 sf)[/tex]
What is the name of a process when two parents is needed to create offspring
Btw I feel like I won't use Brainly anymore
Answer:
Sexual reproduction
Explanation:
Its what its called hope it helps
Answer:
i think its called allogamy
Explanation:
If a bag of pretzels says it contains 10 servings, and each serving is 150 calories, how many calories would you consume if you ate the entire bag?
300, adding extra healthy calories
1,000, adding extra unnecessary calories
1,500, adding extra unnecessary calories
2,000, adding extra healthy calories
Answer:
5400
Explanation:
i calculated it
Big brain
A force of 10N is making an angle of 300 with the horizontal. Its horizontal components will be
Answer: 5N
Explanation:
Horizontal component is the force that is applied as a result of the diagonal application of force.
here in this case,
given diagonal force =10N.
angle= 30°
horizontal component is found using trigonometry..
so,
A vector of magnitude 10 N is provided.
It is at an angle of 30° to the + x axis.
To find:
The components along the x and y axis.
Calculation:
Along x axis:
F(x) = F cos(θ)
=> F(x) = 10 × cos(30)
=> F(x) = 10 (√3/2) = 5√3N
Along y axis:
F(y) = F sin(θ)
=> F(y) = 10 sin(30°)
=> F(y) = 10 × ½
=> F(y) = 5 N.
Additional information:
1. A vector is a quantity that can be defined with both magnitude and direction.
2. Since force is a vector, we are able to break it down into components along chosen axis.
Cars, trucks, and SUVS use seatbelts as safety devices. Roller coasters use
bars. Use Newton's 1* Law of Motion to explain how the seatbelt or restraint
bar help keep you safe ina collision. Be sure to identify forces and velocity.
sorry
Explanation:
Sorry
What is the chemical formula for sulfur trioxide? O SO3 O SIO3 8 O SO O SIO
Sulfur trioxide/Formula
SO3
this is what i looked up and got
In uniform circular motion, the factor that remains constant is.............
Answer:
When a body is in uniform circular motion, its speed remains constant but its velocity, angular acceleration, angular velocity changes due to change in its direction.
what mass of lead has the same volume as 1600 of alcohol ( density of lead =11300kg\m³ and density of alcohol=790kg\m³)
The mass of lead = 22,939 kg
Further explanationGiven
mass alcohol=1600 kg
The density of lead =11300kg\m³ and density of alcohol=790kg\m³
Required
mass of lead
Solution
volume of alcohol[tex]\tt V=\dfrac{mass}{\rho}\\\\V=\dfrac{1600}{790}\\\\V=2.03~m^3[/tex]
the volume of lead=volume of alcohol=2.03 m, so the mass of lead :
[tex]\tt m=\rho\times V\\\\m=11300\times 2.03\\\\m=22,939~kg[/tex]
how much power is used for machine does 28J of work and 7 seconds
Answer:
3N
Explanation:
If a 0.8kg ball is thrown with a velocity of 5 m/s,what is its KE?(KE=1/2 x m x v2)
HELPPPPPPP!!!!!!!!!!!!!!!!
What is the supply voltage?
Answer:
[sə′plī ‚vōl·tij] (electricity) The voltage obtained from a power source for operation of a circuit or device.
Explanation:
hope this helps :)
unicellular
organism are
Explanation:
Its organism are one cell I think
What ocean features occur along areas of volcanic activity in the ocean floor and release high pressure, extremely hot water and chemicals?
Trenches
Mid-ocean ridges
Hydrothermal vents
Continental shelfs
Answer:
Hydrothermal vents
Explanation:
A hydrothermal vent is found along with areas of volcanic activity in the ocean floor which discharges geothermally heated water. Tectonic plates in such areas move apart at spreading centers and hotspots to form hydrothermal vent.
A hydrothermal vent ejects hot and often toxic, fluids and gases into the surrounding seawater when seawater meets magma.
Hence, the correct answer is "Hydrothermal vents".
An airplane is traveling at an altitude of 15,490 meters. A box of supplies is dropped from its cargo hold. What is the cargo's velocity when it hits the ground? (Show your work and do not forget units)
Answer :
556.59 m/s.
Explanation:
Given that,
An airplane is traveling at an altitude of 15,490 meters.
A box of supplies is dropped from its cargo hold. We need to find the velocity of cargo when it hits the ground.
The initial velocity of the box is 0 as it as at rest. Let v is the velocity of cargo when it hits the ground. We can find it using third equation of motion as follows :
[tex]v^2-u^2=2as[/tex]
Put u = 0 and a = g
[tex]v^2=2gs\\\\v=\sqrt{2gs} \\\\v=\sqrt{2\times 10\times 15490 } \\\\v=556.59\ m/s[/tex]
So, when it hits the ground its velocity is 556.59 m/s.
Benny wonders why when he presses his finger against a map nothing happens to the map. However if he presses a thumbtack into the map using the same force the tack will probably poke a hole in the map.
Answer: The pressure exerted on a surface by an object increases as the surface area of contact decreases.
Explanation:
Pressure measures the amount of force exerted per a given area of an object. From this definition, the surface area of the object and force applied, affects the pressure applied.
As Benny presses his finger against a map, nothing happens to the map because the force applied is affected by the increased surface area of his finger. However as he presses a thumbtack into the map using the same force the tack will probably poke a hole in the map because the small( decreased) surface area of the sharp point of the thumbtack produces a much larger pressure on the map than the area of Benny finger. I hope this helps, thanks!
Chris threw a basketball a distance of 27.5 m to score and win his
high school basketball game. If the shot was made at a 50.0° angle
above the horizontal, what was the initial speed of the ball?
Answer:
v₀ = 16.55 m/s
Explanation:
This motion of the ball can be modeled as a projectile motion with following data:
R = Range of Projectile = 27.5 m
θ = Launch Angle = 50°
g = acceleration due to gravity = 9.81 m/s²
v₀ = Initial Speed of Ball = ?
Therefore, using formula for range of projectile, we have:
[tex]R = \frac{v_{0}^2\ Sin2\theta}{g}\\\\v_{0}^2 = \frac{Rg}{Sin2\theta}\\\\v_{0}^2 = \frac{(27.5\ m)(9.81\ m/s^2)}{Sin100^o}\\\\v_{0} = \sqrt{273.93\ m^2/s^2}[/tex]
v₀ = 16.55 m/s
Help? anyone? plz?
What was the atmosphere most heated by?
radiation
conduction
wind
convection
Answer:
Explanation:
The answer is radiation.
a 3.2 kg durian fruit is pushed across the table.If the acceleration of the durian is 3.1 m/s/s to the right,what is the net force exerted on the fruit?(Fnet=ma)
Answer:
9.92 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 3.2 × 3.1
We have the final answer as
9.92 NHope this helps you
Answer:
9.92
Hope I helped
Cuál es la diferencia entre fricción beneficiosa y perjudicial? Pon 5 ejemplos de cada uno.
Answer:
Difference is given below.
Explanation:
The main difference between beneficial and harmful friction is that beneficial friction is necessary for performing different activities while on the other hand, harmful effect of friction is destroy different parts of products and machines. examples of beneficial friction are walking, holding things, rubbing hands to produce heat, running etc whereas examples of harmful friction are destruction of sole, slipping, tearing of machine's part, Wet roads and Mudslides etc.
What is the velocity of an object moving 10 m in 5 seconds to the right?
Explanation:
The velocity of an object can be found by using the formula
[tex]v = \frac{d}{t} \\ [/tex]
d is the distance
t is the time taken
From the question we have
[tex] v = \frac{10}{5} \\ [/tex]
We have the final answer as
2 m/sHope this helps you
A ball is thrown straight off a 150 meter high roof at 20 m/s.
How long does it take for the ball to hit the ground?
What was the ball's final downward velocity?
How far did the ball travel horizontally?
What was the ball's displacement?
Answer:
I'll try and find the answer for you:)
Explanation:
I can't promise you I will though