Answer:
The distance is now 4d
Explanation:
Mechanical Force
According to the second Newton's law, the net force exerted by an external agent on an object of mass m is:
F = m.a
Where a is the acceleration of the object.
The acceleration can be calculated by solving for a:
[tex]\displaystyle a=\frac{F}{m}[/tex]
Once we know the acceleration, we can calculate the distance traveled by the block as follows:
[tex]\displaystyle d = vo.t+\frac{at^2}{2}[/tex]
If the block starts from rest, vo=0:
[tex]\displaystyle d = \frac{at^2}{2}[/tex]
Substituting the value of the acceleration:
[tex]\displaystyle d = \frac{\frac{F}{m}t^2}{2}[/tex]
Simplifying:
[tex]\displaystyle d = \frac{Ft^2}{2m}[/tex]
When a force F'=4F is applied and assuming the mass is the same, the new acceleration is:
[tex]\displaystyle a'=\frac{4F}{m}[/tex]
And the distance is now:
[tex]\displaystyle d' = \frac{4Ft^2}{2m}[/tex]
Dividing d'/d:
[tex]\displaystyle \frac{d' }{d}=\frac{\frac{4Ft^2}{2m}}{\frac{Ft^2}{2m}}[/tex]
Simplifying:
[tex]\displaystyle \frac{d' }{d}=4[/tex]
Thus:
d' = 4d
The distance is now 4d
Which of the following is Ohm's Law?
OR=xR
O1-V/R
OVR/
OV-/R
Answer:
I=V/R
Explanation:
Ohm's law gives the mathematical relationship between, current, voltage and the resistance of the circuit. Its mathematical form is given by :
V = IR ....(1)
V = voltage (in volts)
I = current (in Ampere)
R = resistance (in ohms)
Equation (1) can be rewritten as :
[tex]I=\dfrac{V}{R}[/tex]
Hence, the correct relation is I=V/R.
4. A 30kg red ball is rolling to the right with a velocity of 4m/s and a green ball is rolling to the right with a velocity of 5m/s left. After the collision the red ball has a velocity of 2m/s left and the green ball is rolling to the left with a velocity of 4.5m/s left. What is the mass of the green ball?
The question is confusing for the initial direction of the green ball. We assume to the left.
Answer:
The mass of the green ball is 360 Kg
Explanation:
Law Of Conservation Of Linear Momentum
The total momentum of a system of bodies is conserved unless an external force is applied to it. The formula for the momentum of a body with mass m and velocity v is
P=mv.
If we have a system of bodies, then the total momentum is the sum of the individual momentums
[tex]P=m_1v_1+m_2v_2+...+m_nv_n[/tex]
If some collision occurs, the velocities change to v' and the final momentum is:
[tex]P'=m_1v'_1+m_2v'_2+...+m_nv'_n[/tex]
In a system of two masses, the law of conservation of linear momentum
is written as:
[tex]m_1v_1+m_2v_2=m_1v'_1+m_2v'_2[/tex]
Let's call m1=30 Kg the mass of the red ball moving to the right at v1=4 m/s, m2 (unknown) the mass of the green ball moving at v2=-5 m/s to the left (assumed).
After the collision, the red ball rolls to the left at v1'=-2 m/s and the green ball is at v2'=-4.5 m/s. Thus:
[tex]30*4+m_2*(-5)=30*(-2)+m_2(-4.5)[/tex]
Operating:
[tex]120-5m_2=-60-4.5m_2[/tex]
[tex]120+60=5m_2-4.5m_2[/tex]
[tex]180=0.5m_2[/tex]
[tex]m_2=180/0.5=360[/tex]
The mass of the green ball is 360 Kg
Two long, parallel conductors, separated by 10.0cm, carry currents in the same direction. The first wire carries a current I₁ = 5.00A, and the second carries I₂ = 8.00 A. (d) What is the force per length exerted by I₂ on I₁?
The force per unit length by I₂ on I₁ is 8 × 10⁻⁵ N/m.
The force between two parallel currents I₁ and I₂ that are spaced apart by r is measured as the ratio F/L. If the currents are flowing in the same direction, the force is attracting; if not, it is repulsive.
Currents are carried in the same direction by two lengthy parallel conductors that are spaced apart by 10.0cm.
I₁ = 5.00 A and I₂ = 8.00 A are the currents carried by the first and second wires, respectively.
r = 10 cm
Let the current flow along both wires in the x direction, with the first wire located at y = 0 and the second at y = 10 cm.
Now, the magnitude of the magnetic field created by I₂ at the location of I₁ is:
[tex]B = \frac{\mu_{0} I}{2 \pi r}(-\hat{k})[/tex]
[tex]B = \frac{4 \pi \times 10^{-7} \times 8}{2 \pi \times 0.1}[/tex]
[tex]B = (1.60 \times 10^{-5})(-\hat{k})[/tex]
Then the force per unit length exerted by I₂ on I₁ will be:
[tex]F_B = I_{1}( L \times B) = (5) [ (1)\hat{i} \times 1.60 \times 10^{-5}(-\hat{k}) ][/tex]
[tex]F_B = 8 \times 10^{-5}{~} N[/tex] towards the second wire.
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"Calculate the frequency of infrared light with wavelength of 9.50 x 10-7m"
Answer:
The frequency of the infrared light is approximately 3.156 × 10¹⁴ Hz
Explanation:
Given that the wavelength of infrared light, λ = 9.50 × 10⁻⁷ m, we have;
The speed of light (which is constant), c = v × λ = 299,792,458 m
Where v = The frequency of the infrared light, we have;
v = c/λ = 299,792,458/(9.50 × 10⁻⁷) ≈ 3.156 × 10¹⁴ Hz
The frequency of the infrared light = v ≈ 3.156 × 10¹⁴ Hz.
A force of 15N is exerted on an area of 0.1 m squared. what is the pressure
Answer:
1The force is with u. Lol no Idea if this is correct sry if u fail. I go must now
changr 20 min in to hr
Answer:
change 20 min into hr = 0.33 hr
Explanation:
convert= divide the time by 60 because 60 mins make 1 hr
100 pointed and brainiest.
Which structural damage could be expected if a Category 3 hurricane is predicted to hit an area?(1 point)
Well-built framed homes could sustain severe damage, with loss of most of the roof structure and some exterior walls.
Well-constructed frame homes could have damage to the roof, shingles, vinyl siding, and gutters.
A high percentage of framed homes could be destroyed, with total roof failure and wall collapse.
Well-built framed homes could incur major damage or removal of roof decking and gable ends.
Answer:
damage to a house and trees posibly
Answer:
Which structural damage might be expected if a Category 1 hurricane is predicted to hit an area?
Responses
A high percentage of framed homes could be destroyed, with total roof failure and wall collapse.
A high percentage of framed homes could be destroyed, with total roof failure and wall collapse.
ANSWER : ( Well-constructed frame homes could have damage to the roof, shingles, and vinyl siding.
Explanation: i did the quiz it was easy
the heating coil of a water heater has a resistance of 20 ω and operates at 210 v. how long does it take to raise the temperature of 200 kg of water from 15oc to 80oc?
The heating coil of a water heater has a resistance of 20 ω and operates at 210 v. It takes 5 hrs to raise the it take to raise the temperature of 200 kg of water from 15oc to 80oc.
What is resistance?Obstruction is a proportion of the resistance to flow stream in an electrical circuit. Opposition is estimated in ohms, represented by the Greek letter omega (Ω). Ohms are named after Georg Simon Ohm (1784-1854), a German physicist who concentrated on the connection between voltage, current and opposition. In any case, obstruction and conductance are broad as opposed to mass properties, implying that they additionally rely upon the size and state of an item. Channels permit the free progression of power. Yet, in materials, for example, semiconductors and covers, the power encounters a specific power that goes against the free progression of electrons.
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A circular coil of five turns and a diameter of 30.0 cm is oriented in a vertical plane with its axis perpendicular to the horizontal component of the Earth's magnetic field. A horizontal compass placed at the coil's center is made to deflect 45.0° from magnetic north by a current of 0.600 A in the coil.(b) The current in the coil is switched off. A "dip needle" is a magnetic compass mounted so that it can rotate in a vertical north-south plane. At this location, a dip needle makes an angle of 13.0° from the vertical. What is the total magnitude of the Earth's magnetic field at this location?
The total Earth's magnetic field is 56 μT.
The magnetic influence on moving magnetic materials, electric charges, and electric currents is described by a magnetic field, which is a vector field. A force acting on a charge while it travels through a magnetic field is perpendicular to both the velocity and the magnetic field.
The axis of a circular coil with five turns and a diameter of D = 30.0 cm, oriented vertically, is perpendicular to the horizontal component of the Earth's magnetic field.
When positioned in the coil's center, a horizontal compass deviates 45.0° from magnetic north due to a coil current of I = 0.600 A.
Now, the current is switched off.
The dip needle makes an angle of Φ = 13.0°.
Let B be the magnetic field and R be the radius of the circular coil.
Then the total magnitude of the Earth's magnetic field will be:
B(h) = B sin Ф
B = B(h) / sin Ф
B = ( 12.6 μT ) / ( sin 13.0° )
B = 56 μT
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Which statement about work and power correctly describes an automobile race?
The cars do different amounts of work depending on how fast they finish.
The car that finishes last has the lowest power.
The car with the greatest power travels the greatest distance.
The cars do different amounts of work depending on their power.
Answer:
the car do different amount of work depending on how fast they finish is my answer
Explanation:
I hope so it is helpful for you
Answer: B. The car that finishes last has the lowest power.
Explanation:
If you can run a distance of 400 mi in 8 h, what is your average speed?
According to Newton's First Law, if there are no unbalanced forces acting on an object,
Question 6 options:
it will eventually come to a stop.
it will change direction.
it will maintain a constant speed and direction.
it will speed up.
Science: PLZZZZ help due in 5 min THANK YOU!
Answer:
fridge microwave washer dryer tv fan dishwasher fish tank lights toaster coffee pot
A ball is rolled down an incline from the 0.86 meter mark to the 0.32 meter mark.
The displacement of the ball rolled down the incline is determined as 0.54 m.
What is displacement?
The displacement of an object is the change in the position of the object.
Displacement is a vector quantity and has a direction and magnitude. It is represented as an arrow that points from the starting position to the final position.
The displacement of the ball is calculated as follows;
d = Δx
where;
Δx is change in position of the objectd = 0.86 m - 0.32 m
d = 0.54 m
Thus, the displacement of the ball rolled down the incline is determined as 0.54 m.
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The complete question is below;
A ball is rolled down an incline from the 0.86 meter mark to the 0.32 meter mark. Find the displacement of the ball.
Show FORMULA AND SOLUTION:
What acceleration will result when a 12N net force applied to a 3kg object? A 6kg object?
Answer: Given Force = 12 N
Mass = 3kg and 6kg
F= mass. acceleration
A= F/M
A(3kg object) = 12/3 = 4m/s^2
A(6kg object) = 12/6 = 2m/s^2
Magnesium is a metal that is commonly used in products that needed to be light weight. Suppose a 2.00kg piece of magnesium has 8160 j of entertainment added to it it's temperature increases 4K what is the specific heat of magnesium
Given that,
Mass of magnesium, m = 2 kg
Heat added to it, Q = 8160 J
Increase in temperature, [tex]\Delta T=4\ K[/tex]
To find,
The specific heat of magnesium.
Solution,
Th formula that is used to find the heat required to raise the temperature in terms of specific heat is given by :
[tex]Q=mc\Delta T\\\\c=\dfrac{Q}{m\Delta T}\\\\c=\dfrac{8160\ J}{2\ kg\times 2\ K}\\\\c=2040\ J/kg-K[/tex]
So, the specific heat of magnesium is [tex]2040\ J/kg-K[/tex].
Jenny applies a 60 N force to a 20 kg cart , what is the acceleration of the cart if friction can be neglected
Hello!
a = 3 m/s²
Use the equation F = m · a (Newton's Second Law) to solve.
We are given the force and mass, so plug these values into the equation:
60 = 20 · a
60 = 20a
Divide both sides by 20:
60/20 = 20a/20
a = 3 m/s²
When dissolved in water, an acid or a base breaks down into
a proton and an electron.
two negative ions.
a positive anda negative ion.
a positive ion and a proton
Answer:
A.) a proton and an electron
Answer:
C
Explanation:
the answer is a posotive and a negative ion
which state of matter best describes the elements inside stars?(1 point) liquid liquid solid solid plasma plasma gas gas
Plasma best describes the elements inside stars.
Plasma:
Plasma is a charged gas and have strong electrostatic interactions.
Plasma is a state of matter that is a subset of gases, but the two states behave very differently.
plasmas are made up of atoms.
plasmas have no fixed shape or volume, and are less dense.
The electrostatic forces between the particles in the plasma become significant.
Plasma can conduct electricity because it contains charged particles.
The gas inside the bulb becomes a conductive plasma.
There are 3 states of plasma which depend on the supplied energy, usually electrical. The lowest energy state is dark mode, basically because it is invisible. The solar wind is dark mode, charged particles flowing from the Sun.
Plasma is a ionised gas , thus conduct electricity.
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21.
Figure 1 shows a person sliding down a zip wire.
Figure 1
Zip wire
Change
in vertical
height
(a) As the person slides down the zip wire, the change in the gravitational potential energy
of the person is 1.47 kJ
Eg=m
The mass of the person is 60 kg
gravitational field strength = 9.8 N/kg
Calculate the change in vertical height of the person.
The change in the vertical height of the person is obtained as 2.5 m.
What is the change in the height?Let us recall that gravity is a universal force of attraction that acts on any object that is found to be on the surface of the earth. It is instructive to know that gravity can only be an attractive force.
As the person slides down the zip wire, the position of the person is changing. We have to know that the gravitational potential energy of the person is dependent on the position of the wire. As such, as the position changes, the gravitational potential energy of the person is also changing.
Using the formula;
W = mgh
W = gravitational potential energy
m = mass of the object
g = acceleration due to gravity
h = height of the body
If we substitute the values we have;
h = W/mg
h = 1.47 * 10^3/ 9.8 * 60
h = 2.5 m
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How to brought people or myself out of sadness?
Answer:
appreciate things u have
find happiness in things
Explanation:
I hope this helps u!
because lighting heats up the surrounding air slowly, it realationship to thunder is currently unknown true or false
Answer:
False
Explanation:
someone please help me with this work
Answer:
It would kill her
Explanation:
An electric toaster has a resistance of 12 ohms what current will it draw from a 120v supply
Answer: The Answer is 10 Ampere
Explanation:
The Formula
Resistance= Voltage ÷ current
Current= Resistance÷ current
Resistance= 12 ohms
Potential difference=120volts
hence Current= 10 Ampere
Hope it helps please leave a like if u are satisfied
bye
What would be the acceleration of an object with a mass of 5,000 g when hit with a force of 55 N?
Answer:
11 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
[tex]a = \frac{f}{m} \\ [/tex]
f is the force
m is the mass in kg
From the question
5000 g = 5 kg
We have
[tex]a = \frac{55}{5} \\ [/tex]
We have the final answer as
11 m/s²Hope this helps you
a(n) is a rock in space when it enters a planets atmosphere it is a(n) any piece remaning after inmpact is an
A meteoroid is a rock in space when it enters a planet's atmosphere it is a meteor, any piece remaining after impact is a meteorite.
Meteoroids are small objects floating in space. They are made up of rocks, iron, and dust. In our solar system, meteoroids orbit the Sun and some planets.
When these meteoroids enter the atmosphere of earth, they become meteors. These meteors started to burn and shine due to friction.
Meteorites are the surviving un-burnt piece of meteors that hit the surface of the Earth.
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An iron bal of mass 20kg is rolling on a flat surface. On applying force, the velocity change from 17ms to 27m/s in 5s. Calculate the magnitude of the force. (Ans:40N)
Answer:
40 N
Explanation:
We first need to calculate the acceleration of the tron ball.
Since acceleration, a = (v - u)/t where u = initial velocity of iron ball = 17m/s, v = final velocity of iron ball = 27m/s and t = time taken for the change in velocity = 5 s.
So, a = (v - u)/t
= (27 m/s - 17 m/s)/5 s
= 10 m/s ÷ 5 s
= 2 m/s²
We know force on iron ball, F = ma where m = mass of iron ball = 20 kg and a = acceleration = 2 m/s²
So, F = ma
= 20 kg × 2 m/s²
= 40 kgm/s²
= 40 N
So, the magnitude of the force on the iron ball is 40 N.
determine the force of gravitational attraction between a 78 kg boy sitting 2 meters away from a 65 kg girl. circle your answer and include units
Answer:
The force of gravitational attraction is 8.454 x 10⁻⁸ N.
Explanation:
Given;
mass of the boy, m₁ = 78 kg
mass of the girl, m₂ = 65 kg
distance between the boy and the girl, r = 2 meters
The force of gravitational attraction is given as;
[tex]F = \frac{Gm_1m_2}{r^2}[/tex]
where;
G is gravitational constant = 6.67 x 10⁻¹¹ Nm²/kg²
r is the distance between two masses, m₁ and m₂
[tex]F = \frac{Gm_1m_2}{r^2} \\\\F = \frac{(6.67 \times 10^{-11})(78 \times 65)}{2^2}\\\\F = 8.454 \times 10^{-8} \ N[/tex]
Therefore, the force of gravitational attraction is 8.454 x 10⁻⁸ N.
The wind exerts a force of 500N, South on a sailboat, while the water exerts a force of100N East on the sailboat.
Answer:
Net force = 509.90 N
Explanation:
Given that,
Force exerted by wind is 500 N South on a sailboat.
The force exerted by water is 100 N on the sailboat.
Two forces are acting at an angle of 90 degrees. We can find the net force acting on the sailboat. Let it is F.
[tex]F=\sqrt{500^2+100^2} \\\\=509.90\ N[/tex]
So, the net force on the sailboat is 509.90 N.
A golfer hits a ball and gives it an initial velocity of 40 m/s, at an angle of 30 degrees above the horizontal.
A) how long does the ball stay in the air? (Answer is 4.08 sec)
B) how far horizontally (the range) does the ball travel before hitting the ground? (Answer 141 m)
I need help with getting the work. If y’all could explain, that would be so helpful and thank you.
(a) The ball will stay in the air for 4.08 s.
(b) The ball travels 141 m horizontally before hitting the ground.
This is a projectile motion problem, to solve the problems above, we need to use the formula of (a) Time of flight and (b) Range.
(a)
⇒ Formula
T = 2Usin∅/g.................... Equation 1⇒Where:
T = Time of flightU = initial velocity∅ = Angle above the horizontalg = acceleration due to gravityFrom the question,
⇒Given:
U = 40 m/s∅ = 30°⇒Assuming:
g = 9.8 m/s²⇒Substitute these values into equation 1
t = 40sin30/9.8t = 2(40)(0.5)/9.8t = 40/9.8t = 4.08 sAlso,
(b) For Range
⇒ Formula
R = U²sin2∅/g............... Equation 2⇒Substitute these values above into equation 2
R = 40²sin(2×30)/9.8R = 1600×0.866/9.8R = 141.38 mR ≈ 141 mHence, (a) The ball will stay in the air for 4.08 s (b) The ball travels 141 m horizontally before hitting the ground
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A. The ball stay in the air for 4.08 seconds.
B. The ball travel nearly 141 meter before hitting the ground.
Given that, Initial velocity (v) of ball is 40 m/s, at an angle of 30 degrees above the horizontal.
[tex]v=40m/s, \theta=30,g=9.8m/s^{2}[/tex]
Here we use formula,
[tex]t=\frac{2v*sin\theta}{g}\\\\range(R)=\frac{v^{2}*sin2\theta }{g}[/tex]
Substituting values in above equations.
[tex]t=\frac{2*40*sin30}{9.8}=\frac{2*40*0.5}{9.8}=4.08s\\\\R=\frac{(40)^{2}*sin60 }{9.8} =\frac{1600*0.866}{9.8} =141m[/tex]
Hence, The ball stay in the air for 4.08 seconds and The ball travel nearly 141 meter before hitting the ground.
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