The combined mass of a race car and its driver is 600 kg. Travelling at constant speed, the car completes one lap around a circular track of radius 160 m in total time of 36 s. What is the magnitude of the centripetal acceleration of the car?
Answer:
4.88m/s²
Explanation:
Given parameters:
Mass of the race car and driver = 600kg
Radius of path = 160m
time taken = 36s
Unknown:
Centripetal acceleration = ?
Solution:
The centripetal acceleration is the change in velocity of a body along a circular path with time.
It is mathematically expressed as;
a = [tex]\frac{v^{2} }{r}[/tex]
v is the velocity
r = radius of path
v = [tex]\frac{2\pi r}{t}[/tex]
t is the time;
Insert the parameters and solve for the velocity;
v = [tex]\frac{2 x \pi x 160}{36}[/tex] = 27.9m/s
Now,
acceleration = [tex]\frac{27.9^{2} }{160}[/tex] = 4.88m/s²
The magnitude of the centripetal acceleration of the car is [tex]4.87 \;\rm m/s^{2}[/tex].
Given data:
The combined mass of race car and its driver is, m = 600 kg.
The radius of the circular track is, r = 160 m.
The time taken to cover one lap is, t = 36 s.
The velocity of the car while covering one complete lap of circular track is given as,
[tex]v = \dfrac{2 \pi r}{t}\\\\v = \dfrac{2 \pi \times 160}{36}\\\\v = 27.92 \;\rm m/s[/tex]
And the expression for the magnitude of centripetal acceleration is given as,
[tex]a=\dfrac{v^{2}}{r}\\\\a=\dfrac{27.92^{2}}{160}\\\\a=4.87 \;\rm m/s^{2}[/tex]
Thus, we can conclude that the magnitude of the centripetal acceleration of the car is [tex]4.87 \;\rm m/s^{2}[/tex].
Learn more about the centripetal acceleration here:
https://brainly.com/question/6082363
A force of 30 Newtons is used to push a basket along the floor a total distance of 3 meters. How much work is done on the basket?
Answer:
the total work done is 90J
Explanation:
the reason why is because you are the force (30 newtons) and the metere (3) so you will be multiplying those two numbers together.
W= FD 30(3)= 90J
During a race, a sprinter increases from 5.0 m/s to 7.5 m/s over a period of 1.25s. What is the sprinter’s average acceleration during this period?
Answer:
[tex]\boxed {\boxed {\sf 2 \ m/s^2}}[/tex]
Explanation:
Acceleration can be found by dividing the change in velocity by the time.
[tex]a=\frac{\Delta v}{t}[/tex]
The time is 1.25 seconds. The change in velocity is the difference between the initial velocity and the final velocity.
[tex]\Delta v=v_f-v_i[/tex] The final velocity is 7.5 m/s and the initial velocity is 5.0 m/s[tex]\Delta v =7.5 \ m/s-5.0 \ m/s=2.5 \ m/s[/tex][tex]\Delta v= 2.5 \ m/s\\t=1.25 \ s[/tex]
Substitute the values into the formula.
[tex]a=\frac{2.5 \ m/s}{1.25 \ s}[/tex]
Divide.
[tex]a=2 \ m/s^2[/tex]
The sprinter's average acceleration is 2 meters per second squared.
Answer: 2 m/s^2
Explanation: Hope this helps :)
A jar of quarters sits on a table with zero velocity. There are two forces acting on the jar. What is this situation called?
A. Dynamic equilibrium
B. Inertia equilibrium
C. Force equilibrium
D. Static equilibrium
Answer: static
Explanation:
Yol
An autographed baseball rolls off of a 1.2
m high desk and strikes the floor 0.28 m away
from the desk.
How fast was it rolling on the desk before
it fell off? The acceleration of gravity is
9.81 m/s2.
Answer in units of m/s.
Rohith has been jogging to the bus stop for 2.0 minutes at 3.5 m/s when he looks at
his watch and sees that he has plenty of time before the bus arrives. Over the next
10.0s, he slows his pace to a leisurely 0.75 m/s. What was his average acceleration
during this 10.0 s?
Convert 7.5 g/cm3 to kg/m3
Answer:
7500
Explanation:
multiply the mass / volume value by 1000
A skater of mass 60 kg has an initial velocity of 12 m/s. He slides on ice where the frictional force is 36 N. How far will the skater slide before he stops?
Answer:
d = 120 [m]
Explanation:
In order to solve this problem, we must use the theorem of work and energy conservation. Where the energy in the final state (when the skater stops) is equal to the sum of the mechanical energy in the initial state plus the work done on the skater in the initial state.
The mechanical energy is equal to the sum of the potential energy plus the kinetic energy. As the track is horizontal there is no unevenness, in this way, there is no potential energy.
E₁ + W₁₋₂ = E₂
where:
E₁ = mechanical energy in the initial state [J] (units of Joules)
W₁₋₂ = work done between the states 1 and 2 [J]
E₂ = mechanical energy in the final state = 0
E₁ = Ek = kinetic energy [J]
E₁ = 0.5*m*v²
where:
m = mass = 60 [kg]
v = initial velocity = 12 [m/s]
Now, the work done is given by the product of the friction force by the distance. In this case, the work is negative because the friction force is acting in opposite direction to the movement of the skater.
W₁₋₂ = -f*d
where:
f = friction force = 36 [N]
d = distance [m]
Now we have:
0.5*m*v² - (f*d) = 0
0.5*60*(12)² - (36*d) = 0
4320 = 36*d
d = 120 [m]
I notice the wheels on my bicycle spin in a circular motion as I am pedaling. I know that the
wheels have a radius of 0.31m and they are going at a speed of 15 m/s. What is the centripetal
acceleration of my bike wheel?
Guess method
Answer:
Acceleration, a = 750m/s²
Explanation:
Given the following data;
Radius, r = 0.31m
Velocity, v = 15m/s
To find the centripetal acceleration;
[tex] Acceleration, a = \frac {v^{2}}{r}[/tex]
Substituting into the equation, we have;
[tex] Acceleration, a = \frac {15^{2}}{0.31}[/tex]
[tex] Acceleration, a = \frac {225}{0.31}[/tex]
Acceleration, a = 750m/s²
Therefore, the centripetal acceleration of the bike wheel is 750m/s².
1-Find the gravitational force
between two objects the first
one is 25 kg and the seconed
one is 0.55 kg and the distance
between it is 35 m.
[tex]g = \frac{GMm}{r^2}[/tex]
where [tex]G[/tex] is the gravitational constant and is about [tex]6.67 * 10^{-11}[/tex]
[tex]g = \frac{6.67 * 10^{-11} * 25 * 0.55}{35^2}[/tex]
[tex]g = \frac{6.67 * 10^{-11} * 25 * 0.55}{1225} = 0.000000000000749 N[/tex] :D
To obtain the number of meters from a distance measured In centimeters, you must ____ by the number _____
Answer:
Divide by the number 100
Explanation:
Since there are 100 centimeters in 1 meter, we can see that if you are given a number in centimeters, the number of meters is that number divided by 100. Hope this helps!
Answer:
Divide by 100
Explanation:
How does Health & Physical Education relate to any other subject you now study in
school?
Answer:
Health relates to science because
in science you study, research, and knowledge in this case, health science, which helps you under stand more about how humans and animals function. And Physical education relates to science because , you study the way of human movement, think of push-ups as a example.
I hope I helped U ´꓃ ` U
where is the centripetal force directed on a banked curve?
Answer:
The net force on a car traveling around a curve is the centripetal force, Fc = m v2 / r, directed toward the center of the curve.
Explanation:LET ME KNOW IF ITS WRONG. HAVE A NICE DAY!!!!!!!!!!
Answer: The net force on a car traveling around a curve is the centripetal force, Fc = m v2 / r, directed toward the center of the curve. The centripetal force is directed at right angles to the motion and also along the radius towards the centre of the circular path. In order for a car to move around a circular track, something must provide a centipetal force. One source of the centripetal force is friction between the tires and the road. This means that the tires do not need to supply any friction at all to keep the car from slipping sideways. ...
Hope this helps... stay safe and have a great day!!! :D
why are unit of length mass and time independent with each other?
Think of a scenario where an authoritarian leadership style would be beneficial. Explain. What are the reasons it would work well? What are the risks?
Answer:
Explanation:
A scenario in which an authoritarian leadership would be beneficial is in law enforcement in emergency cases (that has to do with public safety or national security) without the bureaucratic bottlenecks of the legislature and judiciary. For example, the recent coronavirus pandemic, authoritarian leaderships would find it easier to enforce the laws on wearing of masks and also prevent producers of personal protective equipment (PPE) from unreasonably inflating prices of there PPEs.
As explained above, it would work well because there will be no legislative bottleneck that will start a hearing at the expense of public safety neither will there be a court that will stall the process at the same expense.
The risks here is that businesses (in this case that of producing PPEs) may find it difficult to survive since the "tone" of the pricing of PPEs will now be determined by government. It may even hinder healthy business competition. It may also lead to production of substandard PPEs in order to generate enough profit (since the main aim of any business is to generate profit).
A 4,350 kg truck traveling east has a momentum of 26,100kg m/s what's the trucks velocity
Answer:
6 m/s East
Explanation:
Momentum = Mass . Velocity
26100 = 4350. Velocity
Velocity = 6m/s East
What is the time interval in which the average velocity is Positive?
Answer:
between 0s and 0.5s
Explanation:
the objects position is moving away from the origin and the position-versus-time curve has a positive slope
which of the following best represents force?
1-a push or a pull acting on a object.
2-a push or a pull always causing acceleration.
3-a push or a pull action without an object.
4-a push or a pull always causing motion
Answer:
1 -a push or a pull acting on a object.
Explanation:
force is a push or pull acting upon an object as a result of its interaction with another object.
Mendel wanted to find out if the pattern of inheritance for one trait affected the pattern of inheritance for anther. What experiment did he perform to test this idea?
Answer is given below :
Explanation:
He tested the seed color and shape. At the same time Gregor Mendel focused his search on seed size, flower color, seed coat color, pod size, immature pod color, flower position and pea plant height. To describe the results he drew, he coined the terms 'recessive' and 'dominant'.Answer:
The answer is that he tested seed color and shape that same time
Explanation:
What is intensity?
A.
The fastest your heart can beat
B.
How hard your body is working
C.
A place on your body where you can feel your heart beating
D.
None of the above
Answer:
D
Explanation:
None of the above because the intensity is amount of a property, force, brightness, and magnetic field.
Answer:
D. None of the above
Explanation:
D. None of the above, because the quality or condition of being intense. great energy, strength, concentration, vehemence, etc., as of activity, thought, or feeling: He went at the job with great intensity. a high or extreme degree, as of cold or heat. the degree or extent to which something is intense.
<>Hope this helps! : )
helppppppppppppppppp
Answer:
Burning of paper
Explanation:
Because new substance is formed
Dose the atoms in a solid move freely or remain in a fixed position ?
if 8000cm3 of liquid drains off an hour glass in one hour, what is the flow rate of water from the clock
Answer:
8000cm³/hr
Explanation:
Given parameters:
Volume of the liquid draining off per hour = 8000cm³
Time taken to drain off = 1hr
Unknown:
Flow rate = ?
Solution:
Flow rate is the volume of fluid that passes per unit of time.
Flow rate = [tex]\frac{volume of fluid}{time taken}[/tex]
Flow rate = [tex]\frac{8000cm^{3} }{1hr}[/tex]
Flow rate = 8000cm³/hr
A 2.1W iPod is used for 30 minutes. How much energy does it use?
What is the net force required to accelerate a 1.1 kg box at a rate of 2.8
m/s??
Answer:
Fnet = 13.86N
Explanation:
Net force can be defined as the vector sum of all the forces acting on a body or an object i.e the sum of all forces acting simultaneously on a body or an object.
Mathematically, net force is given by the formula;
[tex] Fnet = Fapp + Fg[/tex]
Where;
Fnet is the net force Fapp is the applied forceFg is the force due to gravitationGiven the following data;
Mass = 1.1kg
Acceleration = 2.8m/s²
To find the applied force;
[tex] Fapp = ma[/tex]
Substituting into the equation, we have;
[tex] Fapp = 1.1 * 2.8[/tex]
Fapp = 3.08N
To find the gravitational force;
We know that acceleration due to gravity, g = 9.8m/s²
[tex] Fg = mg[/tex]
Substituting into the equation;
[tex] Fg = 1.1 * 9.8[/tex]
Fg = 10.78N
To find the net force;
[tex] Fnet = Fapp + Fg[/tex]
Substituting into the equation, we have;
[tex] Fnet = 3.08 + 10.78[/tex]
Fnet = 13.86N
Therefore, the net force required is 13.86N
The ratio between the force of sliding friction and the normal force of an object is called
rolling friction
the drag
the coefficient of friction
the starting friction
(ILL GIVE BRAINLEST)
Where is a good place to check your pulse?
A.
Wrist
B.
Face
C.
Stomach
D.
Ear
Answer:
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
a
Explanation:
Answer:
A. Wrist
Explanation:
Arteries run closely to the surface of the skin at the wrist and neck making the pulse particularly easy to find at these points.
The kinetic energy of a golf ball is measured to be 140.5 J. If the golf ball has a mass of about 40g, what is its speed
Answer:
V= in square root 2KE/M=2(143.3J)/0.047kg=6097.8723 in square root around 78.1 approxmete
Explanation:
Materials that resist the charges flowing through are ??
Answer:
obstacles
Explanation:
obstacles are the answer to 1. Contract
2. Quartering
3. Profit
4. Tax stamp
5. Declaration of Independence
6. Search
7. House if Burgesses
8. England
I did my best but I could see some of the words :(
Hope this helps!!!
Someone answer these questions please???
Answer:
a. same
b. less
c. less
Explanation:
you can use the position, time, acceleration equation
xf=xi + vi*t+(at^2)/2
you can say the final distance will greater for X than Y
using acceleration for gravity a=9.81m/s^2
a. both X and Y will have the same acceleration due to gravity
b. to solve for final speed vf=vi+gt
since the initial velocity is 0 and X will take longer to fall, Y will hit the ground with less speed
c. as mentioned before, X will take longer to fall; therefore Y will have less time of descent.
