The extension of the spring when the ball is allowed to hang straight down, motionless is 0.0032 m.
The given parameters;
unstrained length, l₁ = 0.201 mextension of the string, x = 0.0176 mspeed of the ball, v = 3.41 m/sThe radius of the circular path when spring is stretched is calculated as;
R = l₁ + x
R = 0.201 + 0.0176
R = 0.2186 m
The spring constant is calculated as follows;
[tex]F = ma\\\\Kx = \frac{mv^2}{R} \\\\K = \frac{mv^2}{Rx} \\\\K = \frac{(3.41)^2 m}{0.2186 \times 0.0176} \\\\K = 3,022.4 m \ N/m[/tex]
The extension of the spring when the ball is allowed to hang straight down, motionless;
[tex]F = mg\\\\Kx=mg\\\\x = \frac{mg}{K} \\\\x = \frac{9.8 m}{3022.4 m} \\\\x = 0.0032 \ m[/tex]
Thus, the extension of the spring when the ball is allowed to hang straight down, motionless is 0.0032 m.
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Does the mass of an object always equal the sum of its parts?
yes
no
a person walks 9 meters to the right and 8 meters to the left what's the distance and displacement
Answer:
walked: 17 meters
displacement: 1
Explanation:
so you add 9+8 and the displacement is 1 b/c when you moved back those 8 meters you were still 1 meter away from where you where originally standing
Match these items. Match the items in the left column to the items in the right column. 1 . gravitational force the physical law nicknamed "action-reaction" 2 . Newton's First Law the physical law that states that planetary orbits are ellipses 3 . Copernican system described as a field 4 . Kepler's First Law the model of a planetary system that has the earth at the center 5 . Kepler's Second Law an example of a heliocentric system 6 . centripetal force the physical law that states that R3\T2 = K for a system 7 . Kepler's Third Law a spacecraft cruising at v = constant with its rockets shut down 8 . geocentric system the physical law that relates acceleration to net force 9 . Newton's Third Law gravitational force that keeps planets in orbit 10 . Newton's Second Law the physical law that states that equal areas are swept out in equal times
Answer:
i can't tell which is left and right
Explanation:
Answer:
1. gravitational force = described as a field
2. Newton's First Law = a spacecraft cruising at v = constant with its rockets shut down
3. Copernican system = an example of a heliocentric system
4. Kepler's First Law = the physical law that states that planetary orbits are ellipses
5. Kepler's Second Law = the physical law that states that equal areas are swept out in equal times
6. centripetal force = gravitational force that keeps planets in orbit
7. Kepler's Third Law = the physical law that states that R3\T2 = K for a system
8. geocentric system = the model of a planetary system that has the earth at the center
9. Newton's Third Law = the physical law nicknamed "action-reaction"
10. Newton's Second Law = the physical law that relates acceleration to net force
true and false? When an object remains stationary, any forces acting on it must be balanced.
Answer:
Balanced forces acting on a stationary object cause the object to remain at rest. True: Forces can give energy to an object it acts on causing the object to change it state of motion. If forces acting on an object are balanced, they do not cause a change in motion.
Answer:
False
Explanation:
It is NOT possible for just three forces to be acting upon an object and they still balance each other. A free-falling object experiences a balance of forces.
The ______________ is all the surroundings of a living organism.
genetics
environment
temperature
heredity
When a wave is transmitted from one substance to another, its ______ will change. Unless it reaches the second substance at a right
angle, its direction will also change. What one word completes the
sentence?
When a wave is transmitted from one substance to another, its refraction will change. Unless it reaches the second substance at a right angle, its direction will also change.
What is Refraction?Refraction is the redirection of a wave as it passes from one medium to another medium. The redirection of wave can be caused by the wave's change in speed or by a change in the medium of wave.
The refraction of light or change in the direction of path of light in other medium occurs because the light wave travels with different speeds in different media. When a ray of light passes from one medium to another medium, the direction of the wave changes except for zero degrees because of the change in its speed.
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PLEASE ANSWER ASAP
A 5 kg bowling ball traveling at 2 m/s hits a motionless 10 kg bowling ball. If the smaller ball bounces back at a speed of -1 m/s, what will be the speed of the larger ball after the collision?
Hi there!
Recall the conservation of momentum:
m1v1 + m2v2 = m1v1' + m2v2'
Let m1 = 5 kg ball and m2 = 10 kg ball
Since m2 is at rest, we can rewrite:
m1v1 = m1v1' + m2v2'
Plug in the given values:
5(2) = 5(-1) + 10v2'
Solve for v2':
10 = -5 + 10v2'
15 = 10v2'
15/10 = 1.5 m/s
We know that,
m1v1 + m2v2 = m1v1' + m2v2'
5 x 2 + 0 = 5 x -1 + 10 x v2'
10= -5 +10 x v2'
15 = 10 x v2'
v2' = 15/10
v2' = 1.5 m/s
hence , the speed of the larger ball after the collision will 1.5m/s
What is the potential energy of a 2 kg bowling ball resting at the top of a 5 m high hill? Show all of your work and include the correct units to receive full credit.
Answer:
[tex]\boxed {\boxed {\sf 98 \ J}}[/tex]
Explanation:
We are asked to find the potential energy of a bowling ball.
Potential energy is the energy an object possesses due to its position. It is calculated using the following formula.
[tex]E_p= mgh[/tex]
In this formula, m is the mass, g is the acceleration due to gravity, and h is the height.
The bowling ball has a mass of 2 kilograms. The hill is 5 meters high. Assuming this situation is occurring on Earth, the acceleration due to gravity is 9.8 meters per second squared.
m= 2 kg g= 9.8 m/s²h= 5 mSubstitute the values into the formula.
[tex]E_p= (2 \ kg )(9.8 \ m/s^2)(5 \ m)[/tex]
Multiply the numbers together.
[tex]E_p=19.6 \ kg*m/s^2(5 \ m)[/tex]
[tex]E_p=98 \ kg*m^2/s^2[/tex]
Convert the units. 1 kilogram meter squared per second squared is equal to 1 Joule. Our answer of 98 kg*m²/s² is equal to 98 Joules.
[tex]E_p= 98 \ J[/tex]
The bowling ball has 98 Joules of potential energy.
what Characteristic of an object is related to both kinetic energy and its potential energy a objects velocity b height c speed d mass
Answer:
I think it's a. Object velocity
Explanation:
.
Answer:
Object mass
Explanation:
I had answered and thats what it is
Consider the schematic of the molecule shown, with two hydrogen atoms, H, bonded to an oxygen atom, O. The angle between the two bonds is 106°. If the bond length r = 0.103 nm long, locate the center of mass of the molecule. The mass mH of the hydrogen atom is 1.008 u, and the mass mO of the oxygen atom is 15.9999 u. (Use a coordinate system centered in the oxygen atom, with the x-axis to the right and the y-axis upward. Give the coordinates of the center of mass in nm.)
The definition of the center of mass allows to find the result for the position of the mass center of more than the H₂O molecule is;
[tex]x_{cm} = 0 \ and \ y_{cm} = 6.9 10^{-3 } nm[/tex]
the concept of center of mass of a system is the point where external forces are applied, it is given by the expression
[tex]\frac{x}{y} =\frac{1}{M_{total}} \sum m_i r_i[/tex]
Where M is the total mass of the systemr_i and m_i sums the position and masses of the element i of the system
In the attachment we have a diagram of the system where the axis and coordinates of the molecules are shown, in this case it is indicated that the origin is in the oxygen atom, so its distance is zero.
[tex]r_{cm} = \frac{1}{2 m + M} \ (2 m r )[/tex] )
They indicate the mass of the hydrogen atom m = 1.008 amu, the bond length r = 0.103 nm and there is an angle 106º between the two hydrogens, therefore the angle from the vertical is:
θ = 106/2 = 53º
Let's find the position of the center of mass for each axis.
x-axis
[tex]x_{cm} = \frac{1}{2m+ M} \ ( m x_1 - m x_2)[/tex]
y-axis
[tex]y_{cm} = \frac{1}{2m + M} \ ( m y_1 + m_2)[/tex]
Let's use trigonometry to find the components of the bond length.
cos θ = [tex]\frac{y}{L}[/tex]
sin θ = [tex]\frac{x}{L}[/tex]
y = L cos θ
x = L sin θ
We substitute.
[tex]x_{cm} = \frac{1}{2m+M} \ (mL (sin 53 + sin (-53)) \\y_{cm} = \frac{1}{2m + M} \ ( mL cos 53 + mL sin 53)[/tex]
we use.
sin θ = - sin -θ
cos θ = cos -θ
Let's calculate.
[tex]x_{cm} = 0 \\y_{cm} = \frac{1}{2 \ 1.008 + 15.9999} \ ( 2 \ 1.008 \ 0.103 cos 53)[/tex]
We see that the center of mass is on the x axis and at a distance from the y-axis of 6.9 10-3 nm
In conclusion using the definition of the center of mass we can find the result for the position of the center of mass of the H₂O molecule is;
[tex]x_{cm}=0[/tex] and [tex]y_{cm}[/tex]cm = 6.9 10⁻³ nm
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A tennis ball thrown with a velocity of 25m/s[Fwd] in the horizontal direction from the top of an 80m high building.
1. How long does it take the tennis ball to reach the ground?
2. How far is the range (how far from the base of the building will the ball land) ?
3. What is the final velocity?
Even answering one will help me out and i will give brainlest!
Answer:
Explanation:
Ignoring air resistance
1) from vertical rest
s = ½at²
t = √(2s/a)
t = √(2(80)/9.8)
t = 4.040610...
t = 4.0 s
2) d = vt
d = 25(4.0)
d = 100 m
3) v² = u² + 2as
v² = 25² + 2(9.8)(80)
v² = 2193
v = 46.8294...
v = 47 m/s
θ = - 90 + arcsin(25/46.8294)
θ = -57.7339...
θ = 58° below the horizontal
how can the motion of an object that is already moving change?
Answer: A force can change the direction in which an object is moving
Explanation: A bigger force of an object will produce a bigger change in motion
Q2) You pick up some nails with your fingers from a pile of nails and find that they appear to stick together. Are they made out of iron or steel? Explain your answer.
Answer:
Iron is correct answer. ... Since Magnet is also made up of Iron, Nickel and Cobalt. Therefore, it attracts iron towards it.
the small lightweight particles outside the nucleus of an atom are called___.
The neutron has no charge, and a mass of slightly over 1 amu. Some scientists propose the neutron is made up of a proton and electron-like particle. The electron is a very small particle located outside the nucleus.
Electron: -1
Neutron: 0
Proton: +1
7. A taxi is travelling at 15 m/s. Its driver accelerates with acceleration 3 m/s2 for 4 s. What is its new velocity
Hi there!
To solve, we can use the following equation:
vf = vi + at
vi = initial velocity (m/s)
a = acceleration (m/s²)
t = time (s)
vf = final velocity (m/s)
Plug in the given values:
vf = 15 + 3(4)
vf = 15 + 12 = 27 m/s
Answer:
[tex]\boxed {\boxed {\sf 27 \ m/s}}[/tex]
Explanation:
We are asked to find the new or final velocity of a taxi.
We will use the following kinematic equation:
[tex]v_f=v_i+at[/tex]
The car was initially traveling at 15 meters per second. It accelerated at 3 meters per second squared for 4 seconds.
[tex]v_i=[/tex]15 m/s[tex]a=[/tex]3 m/s ²t= 4 sSubstitute the values into the formula.
[tex]v_f= 15 \ m/s + (3 \ m/s^2* 4 \ s)[/tex]
Multiply the numbers in parentheses.
3 m/s/s * 4 s = 3 m/s *4 = 12 m/s[tex]v_f= 15 \ m/s +12 \ m/s[/tex]
Add.
[tex]v_f=27 \ m/s[/tex]
The new velocity of the taxi is 27 meters per second.
A wave moving with a speed of 0.5 m/s has a frequency of 50 Hz. What is the
wavelength of the wave?
A. 0.10 m
B. 0.01 m
C. 100 m
D, 25 m
Answer:
0.01 mExplanation:
The wavelength of the wave given it's velocity and frequency can be found by using the formula
[tex] \lambda = \frac{c}{f} \\[/tex]
where
c is the speed of the wave
f is the frequency
From the question we have
[tex] \lambda = \frac{0.5}{50} = 0.01 \\ [/tex]
We have the final answer as
0.01 mHope this helps you
A ball of mass 0.12kg is hit by a tennis player.
The velocity of the ball changes from 0m/ s to 5.0m/s in 0.60s.
What is the average resultant force acting on the ball while it is being hit?
A 1.0N B 2.5N C 3.6N D 8.3N
Answer:
blah blah blahblah
Explanation:
because math is math and nobody understands it
Explain why we draw straight lines to show rays of light?
Answer:
Because light always travels in straight line.
Explanation:
The fact that light travels can be demonstrated by putting an object in its path. If the object is opaque the result is a degree of blackness on the other side of it which is due to the absence of the light. ... As light does appear to travel in straight lines then light is usually modelled as straight lines in drawings.
Hope this helps :)
#Followformore
• What net force is needed to accelerate a 1200 kg car along a
horizontal surface from rest to 130 km/h in 80 seconds?
Hi there!
We can begin by converting 130 km/h to m/s:
[tex]\frac{130km}{1hr} * \frac{1hr}{3600s} * \frac{1000m}{1km} = 36.11 m/s[/tex]
Find the acceleration associated with this velocity change in the given time frame:
vf = vi + at (vi = 0 m/s)
vf = at
vf/t = a
36.11/80 = 0.45 m/s²
Now, we can calculate Net Force using Newton's Second Law:
∑F = ma
∑F = (1200)(0.45) ≈ 540 N
what is the full meaning of hip
Answer:
History in Perspective (education) HIP. Health Information Professional. HIP.
Explanation:
hope this helps
is climbing stairs work done
Answer:
The work you did in climbing the stairs is the force you applied (your weight) times the distance you moved upward (the height of the stairs.) So yes, climbing stairs is work done.
Explanation:
Hope this helped, nya~ :3
Which is a characteristic of tolerance? A.enjoying your hobbies B.accepting diversity C.having pride in your cultureD. knowing many types of people
Answer:
B
Explanation:
Because Tolerance Is The Level Of Ability That Someone Has To Recognise And Help Others Values And Differences.
A bus speeds up from 5 m/s to 15 m/s in 20 seconds. How far did it go during the 20 seconds? (use KE1 to find a, then use that to find xf)
The distance the bus travelled in 20 seconds is 12.75 m
The first step is to write out parameters given in the question
Final velocity= 15
Initial velocity= 5
Time= 20
Distance= ?
V² + U²= 2as
15² + 5²= 2(9.8)s
225+25= 19.6s
250= 19.6s
s= 250/19.6
= 12.75
Hence the distance the bus travelled in 20 seconds is 12.75 m
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2H20 1) How many hydrogen atoms are represented by this much water? A) 1 B) 2 )4 D) 6
A block of wood mass 0.60 kg is balanced on top of a vertical port 2.0 m high. A 10 gm
bullet is fired horizontally into the block and the embedded bullet land at a 4.0 m from
the base of the port. Find the initial velocity of the bullet.
A. 10 3 m/s B. 8.32 m/s C. 3.82 m/s D. 1.0 m/s
Answer:
m V1 = (m + M) V2 conservation of momentum
T = time to fall 2 m
2 = 9.8 / 2 T^2 initial vertical velocity zero
T^2 = 4/9.8 T = .639 sec
Sx = V2 * .639 sec distance traveled horizontally
V2 = 4 /.639 = 6.26 m/sec
V1 = (m + M) / m * 6.26 m/sec from first equation
V1 = (600 + 10) / 10 * 6.26 m/s = 382 m/s
There seems to be some confusion on units
Note that 382 m/s is a reasonable answer for speed of bullet
1100 ft/sec is reasonable for a .22 cal bullet
1100 ft/sec / 3.28 ft/m = 335 m/sec
How many revolutions does the motor shaft turn through between the time when the current is reversed and the instant when the angular velocity is zero
Answer:it equals 0
Explanation:hope this is a good answer
Angular velocity is the ratio of angular displacement to time. Then the number of turns by the shaft is zero.
What is angular velocity?The rate of change of angular displacement is called angular velocity. It is a vector quantity.
We know that the angular velocity formula
[tex]\rm Angular \ velocity = \dfrac{Angular \ displacement}{time}[/tex]
The motor shaft turns through between the time when the current is reversed and the instant when the angular velocity is zero.
Then the number of turns will be
[tex]\rm Number \ of\ turns = Angular \ velocty \times time \\\\Number \ of\ turns = 0 *time \\\\Number \ of\ turns = 0[/tex]
The number of turns by the shaft is zero.
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Can anyone help out with this question?
I'll mark as brainliest
Thankyou.
Answer:
p=I×B
Explanation:
If a current 'I' flows through a given element in your circuit, losing voltage 'V' in the process, then the power 'P' dissipated by that circuit element is the product of that current and voltage.
SOMEONE HELP PLS I WILL MARK CORRECT ANSWER BRAINLYEST ANSWER FAST PLEASE!!!!!
Answer:
C
Explanation:
What is the velocity of a ball swung around on a rope with a
radius of 0.25 meters and period of 0.40 seconds?
A ball swung around on a rope of a radius of 0.25 meters in a time of 0.40 seconds, then the velocity of the ball will be equal to 3.925 m/s.
What is velocity?
Velocity is the rate of change of a traveling object's direction, as measured by a certain unit of time and as seen from a specific vantage point. Speed is a basic concept in kinematics, the branch of special relativity that studies how bodies move.
A scientific vector quantity called velocity must have both a magnitude and direction to be described.
As per the data provided in the question,
Radius, r = 0.25
Time, t = 0.40 seconds
Circumference of the circle, d = 2πr
d = 2π(0.25)
d = 1.570 m
Velocity, v = d / t
v = 1.570 / 0.40
v = 3.925 m/s.
Therefore, the velocity of the ball will be 3.925 m/s.
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What is the total of two or more numbers added together called?
weight
mass
sum
product
The sum of numbers is the total of two or more numbers added together.
Numbers is the arrangement of digits used to count, measure, and label. There are different types of numbers such as whole numbers, integers, natural numbers and many more.
The four basic mathematical operations are addition, subtraction, multiplication and division.
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