Answer:
9
Explanation:
the force is directly proportional to acceleration
F=ma
F1/a1=F2/a2
45/5=81/a2
81×5/45=9M/S²
Are you gay if you are why?
Answer:
Because of the chemical makeup of my DNA
Answer:
I'm not gay, but if you play xbox you are,
Explanation:
hehehhehehehehehehhehehehehehehehehehehheheehehhehehehehehheeeeeeeee
One end of a string is fixed. An object attached to the other end moves on a horizontal plane with uniform circular motion of radius R and frequency f. The tension in the string is Fs . If both the radius and frequency are doubled, the tension is what
Answer:
If both the radius and frequency are doubled, then the tension is increased 8 times.
Explanation:
The radial acceleration ([tex]a_{r}[/tex]), measured in meters per square second, experimented by the moving end of the string is determined by the following kinematic formula:
[tex]a_{r} = 4\pi^{2}\cdot f^{2}\cdot R[/tex] (1)
Where:
[tex]f[/tex] - Frequency, measured in hertz.
[tex]R[/tex] - Radius of rotation, measured in meters.
From Second Newton's Law, the centripetal acceleration is due to the existence of tension ([tex]T[/tex]), measured in newtons, through the string, then we derive the following model:
[tex]\Sigma F = T = m\cdot a_{r}[/tex] (2)
Where [tex]m[/tex] is the mass of the object, measured in kilograms.
By applying (1) in (2), we have the following formula:
[tex]T = 4\pi^{2}\cdot m\cdot f^{2}\cdot R[/tex] (3)
From where we conclude that tension is directly proportional to the radius and the square of frequency. Then, if radius and frequency are doubled, then the ratio between tensions is:
[tex]\frac{T_{2}}{T_{1}} = \left(\frac{f_{2}}{f_{1}} \right)^{2}\cdot \left(\frac{R_{2}}{R_{1}} \right)[/tex] (4)
[tex]\frac{T_{2}}{T_{1}} = 4\cdot 2[/tex]
[tex]\frac{T_{2}}{T_{1}} = 8[/tex]
If both the radius and frequency are doubled, then the tension is increased 8 times.
If both the radius and frequency are doubled, then the tension will be increased 8 times.
From kinematic formula:
[tex]\bold {a_r = 4\pi r^2 \times f^2 \times R^2}[/tex] .............................. (1)
Where:
f - Frequency,
R - Radius of rotation,
From Second Newton's Law,
[tex]\bold {\sum F = T = m\times a_r }[/tex] ......................... (2)
Where
m is the mass of the object,
From equation 1 and 2,
[tex]\bold {T = m\times 4\pi r^2 \times f^2 \times R^2}\\[/tex] .................... (3)
From equation, tension is directly proportional to the radius and the square of frequency.
Then, if radius and frequency are doubled, then the ratio between tensions is:
[tex]\bold {\dfrac {T_2}{T_1} = (\dfrac {F_2}{F_1})^2 \times \dfrac {R_2}{R_1} = 4 \times 2 = 8 }[/tex]
Therefore, If both the radius and frequency are doubled, then the tension will be increased 8 times.
To know more about frequency,
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If you drop a rock from 490 meters high, how long will it take the hit the ground? (Remember to make height negative when solving because it is falling)
A. 12.88 Seconds
B. 7.88 Seconds
C. 5 Seconds
D. 10 Seconds
Answer:
C
Explanation:
If Ali travels at 80 m/s for 30 seconds, how far does he fo in meters?
Answer:
2400 meters
Explanation:
80*30=2400
Answer:
speed=80m/s
time=30s
distance=?
Now,
speed=d/t
80=d/30
d=80×30
d=2400m
An object is moving with constant speed in a circular path. The object's centripetal acceleration remains constant in
A)
magnitude, only
B)
direction, only
C)
both magnitude and direction
D)
neither magnitude nor direction
Both magnitude and direction. Centripetal acceleration always act towards the center of the circle and have constant value.
What is centripetal acceleration?"When a body moves in a circular path the acceleration acting towards the center of the circle is called centripetal acceleration." Hence the magnitude and direction will not change.
Know more about centripetal acceleration here
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#SPJ2
A boat with an initial speed of 5.0 m/s accelerates at a uniform rate of 1.2
m/s2 for 5.0 s. What is the final speed of the boat during this time? (P.4B)
A. 6.0 m
B. 6.2 m
C. 11 m/s
D. 26 m/s
Answer:
v = 11 m/s
Explanation:
Given tha,
Initial speed, u = 5 m/s
Acceleration, a = 1.2 m/s²
Time, t = 5 s
We need to find the final speed of the boat during this time. Let it is v. Using first equation of motion as follows :
v = u +at
Putting all the values, we get :
v = 5 + 1.2(5)
v = 11 m/s
So, the final speed of the boat is 11 m/s. Hence, the correct option is (c).
A 3 kg book is on a shelf 3 m tall. What is its potential energy?
Answer:
88.2J
Explanation:
Given parameters:
Mass of book = 3kg
Height of shelf = 3m
Unknown:
Potential energy = ?
Solution:
The potential energy of a body is the energy due to the position of that body.
It can be mathematically calculated as;
P.E = mgh
m is the mass of the body
g is the acceleration due to gravity = 9.8m/s²
h is the height
Now insert the parameters and solve;
P.E = 3 x 9.8 x 3 = 88.2J
Find the acceleration produced.
Answer:
0.67m/s²
Explanation:
Given parameters:
Mass of toy = 1.2kg
Force applied = 0.8N
Unknown:
Acceleration = ?
Solution:
According to newton's second law of motion;
Force = mass x acceleration
Now,
Acceleration = [tex]\frac{Force}{mass}[/tex]
Acceleration = [tex]\frac{0.8}{1.2}[/tex] = 0.67m/s²
Answer:
Givenforce = 0.8 N
mass = 1.2 kg
To findforce
Formula used[tex] \boxed{force = m.a}[/tex]
solutionAccording to Newton's second law of motion
[tex] \boxed{ \bold \pink {\underline{f =m.a}}} [/tex]
where
f= force
m= mass
a= acceleration
substitute the value in the above formula
0.8 = 1.2 × accleration
accleration= 0.8/1.2
acceleration= 0.66 m/sec²
39
The Dominican Republic has 10.7 million people and a national population growth rate of 1.5 percent. Paraguay
has 6.8 million people and a national population growth rate of 1.5 percent. In how many years will each
country double in size?
47 years
37 years
27 years
57 years
Answer:
The correct answer is - 47 years.
Explanation:
The doubling time of the population growth depends on the rate of population growth. The formula for the calculation of the doubling time is :
time (t) = log(N/N0)/r (time)
here,
N0 (initial population) = The population at time t = 0.
N (future population) = The population at time t.
r (rate) = The rate of population change as a function of t
by the formula
t = log (2/1)/0.015
t = 46.666 years or 47 years approx.
The population of each country will become double in 47 years. hence option (A) is correct.
Given data:
The population of Dominican republic is, n = 10.7 million.
The growth rate of Dominican republic is, p = 1.5 %.
The population of Paraguay is, n' = 6.0 million.
The growth rate of Paraguay is, p' = 1.5 %.
The doubling time of the population growth depends on the rate of population growth. The formula for the calculation of the doubling time is given as,
[tex]t = \dfrac{ln\dfrac{n}{n_{0}}}{p}[/tex]
Here,
[tex]n[/tex] is the final population and [tex]n_{0}[/tex] is the initial population and for doubling the value in future, [tex]n = 2 \times n_{0}[/tex].
Solving as,
[tex]t = \dfrac{ln\dfrac{2\times n_{0}}{n_{0}}}{1.5/100}\\\\t \approx 47 \;\rm years[/tex]
Thus, we can conclude the population of each country will become double in 47 years.
Learn more about the population model here:
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A space station rotates, providing 1 g acceleration for its inhabitants. If it is
rotated at twice the rotational speed, what will the acceleration be for them?
NEED ASAP
Answer:
Hype
Explanation:
Yyrru
A 25 kg mass is accelerated by a force at a rate of 5 m/s2. What is the magnitude of the force that accelerates the man?
DESPERATE WILL GIVE BRAINLIST AND THANKS
Half-life is the time needed for half of a sample of radioactive material to decay.
Question 5 options:
True
False
Answer:
true
Explanation:
A car starts from rest and accelerates uniformly over a time of 10.21 seconds for a distance of 210 m. Determine the acceleration of the car.
Answer:
4.03 m/s/s
Explanation:
d=1/2 a t^2
210 = 1/2 a (10.21)^2
210 = 52.1 a
a = 4.03 m/s/s
What is the biggest quad muscle
A. Vastus Intermedius
B. Vastus Lateralis
C. Rectus Femoris
D. Vastus Medialis
Answer:
b
Explanation:
Answer:
B. Vastus Lateralis
Explanation:
The vastus lateralis muscle is located on the side of the thigh. This muscle is the largest of the quadriceps group.
Suppose that two objects attract each other with a gravitational force of 16 units. If the distance between the two objects is reduced in half, then what is the new force of attraction between the two objects?
It would be 8 units becuase half of 16 is 8
Is lateral shift or lateral displacement same ?
Answer:
When a ray of light passes through a glass slab of a certain thickness, the ray gets displaced or shifted from the original path. This is called lateral shift/displacement.
Explanation:
.
the actual frequency of the
A stationary observer is approached by a rapidly moving ambulance with the sirenon. As the ambulance approaches the observer, the apparent frequency of the sound is ______ the actual frequency of the siren
A. The same as
B. Greater than
C. Less than
D. Not related to
Answer:
ITS B need more characters so yessir
Which energy conversion takes place when a solar cell is used to light a street lamp?
A. solar energy → light energy
B. solar energy → electric energy → light and heat energy
C. solar energy → light and heat energy
D. heat energy → light energy
E. heat energy → light energy → electric energy
Answer:
the answer is for the question is B
Potential energy results from the ______or position of an object.
Answer:
Mass
Explanation:
A ball is moving at 4m/s and has a momentum of 40 kg m/s.What is the balls mass
Answer:
10kg
Explanation:
mass=momentum÷velocity
a car moving with a velocity of 15 m/s accelerates to a velocity of 37 m/s in 3.2 seconds. what's the car's rate of acceleration?
given:
find:
formulas:
manipulate:
substitute:
answer:
Answer:
a = 6.87 [m/s²]
Explanation:
To solve this problem we must use the following equation of kinematics.
[tex]v_{f} =v_{o} +a*t[/tex]
where:
Vf = final velocity = 37 [m/s]
Vo = initial velocity = 15 [m/s]
a = acceleration [m/s²]
t = time = 3.2 [s]
Note: The positive sign in the above equation means that the velocity is increasing, due to the acceleration.
37 = 15 + a*3.2
3.2*a = 37 - 15
a = 6.87 [m/s²]
The ____ of an earthquake is a measure of its strength.
Please help!
Please help!1!!1111!!1!!!
what are all 7 parts of the eye?
Answer:
The Sclera, Cornea, Iris/Pupil, Lens, Retina, Ciliary Muscle, and Optic Nerve
Diagram:
Answer:
Sclera. The sclera is the white of the eye. ...
The Cornea. The cornea is the clear bulging surface in front of the eye. ...
Anterior & Posterior Chambers. The anterior chamber is between the cornea and the iris. ...
Iris/Pupil. ...
Lens. ...
Vitreous Humor. ...
Retina.
Explanation:
Sclera. The sclera is the white of the eye. ...
The Cornea. The cornea is the clear bulging surface in front of the eye. ...
Anterior & Posterior Chambers. The anterior chamber is between the cornea and the iris. ...
Iris/Pupil. ...
Lens. ...
Vitreous Humor. ...
Retina.
Passengers fall forward when a bus suddenly stops. Using your knowledge of Newton's First Law and Inertia, explain why this phenomenon happens.
Answer:
The people on the bus fall forward because Newton's Law of Inertia states that and object in motion with stay in motion or an object at rest will stay at rest unless acted in by another force. The force of the bus stopping suddenly caused the passengers to fall forward because they were at rest position.
Tim is pushing a box with a 7 N force. The weight of the box is 5 N. A frictional force
of 3 N is acting on the box as it is being pushed. The ground is holding the box up
with a 5 N force. These forces are shown in the diagram below.
What forces (Normal Force, Force of Gravity, Force of Friction or Applied Force are
unbalanced in this scenario?
Friction and the applied force are not balanced. The 7 N push is countered by the frictional force of 3 N to push the box with a net force of 4 N.
2. Jenny picks up a guitar and strums. If the sound from the string emanates out at 440 Hz,
what is the wavelength of that sound wave?
Answer:
6.8×10^6 m
Explanation:
f = velocity of light/ wavelength
440= 3×10^8 / wavelength
so
wavelength = 3×10^7/ 44
= 6.8×10^6 m
the response of an object to the gravity is called ____
Answer:
gravity interactions
How does reducing the mass of a moving object by half (1/2) change its kinetic energy?
A car with a mass of 2000 kg travels to the right at a speed of 80 m/s. A truck travels to the left at a speed of 20 m/s and has a mass of 7000 kg. Which one of the two has the greatest momentum?
Cannot tell without the impulse
The truck
Both have the same momentum
The car
Answer:
The car has the greatest momentum, 160000 [kg*m/s]
Explanation:
In order to solve this problem we must remember that linear momentum is defined as the product of mass by Velocity. In this way we have the following equation
P = m*v
where:
P = lineal momemtum [kg*m/s]
m = mass [kg]
v = velocity [m/s]
Therefore we must calculate the momentum for both the truck and the car.
For the car
Pc = 2000*80
Pc = 160000 [kg*m/s]
For the Truck
Pt = 7000*20
Pt = 140000 [m/s]
The car has the greatest momentum
If your weight is 100N and you run up a flight of stairs that is 6 m high and it takes
you 2 s, what is your power?
Answer:
power=300watt
Explanation:
