Answer:
1) q₃ is approximately -7.58 nC
2) The direction of the net force on 'q₃' is the negative '-' direction
3) For the net force on 'q₃' to be zero, 'q₃' can be placed at x = -0.079 m or x = -1.881 m
Explanation:
1) The force, 'F', between two charged spheres is given as follows;
[tex]F = \dfrac{k \cdot q_1 \cdot q_2}{r^2}[/tex]
The net force acting on the point charge, 'q₃', is given as follows;
[tex]F_{NET} = \dfrac{k \cdot q_1 \cdot q_3}{x_1^2} + \dfrac{k \cdot q_2 \cdot q_3}{x_2^2}[/tex]
By substituting the given values, we have;
[tex]F_{NET} = 3.10 \ \mu N = \dfrac{k \cdot (-4.10 \ nC) \cdot q_3}{(0.250 \ m) ^2} + \dfrac{k \cdot 2.20 \ nC \cdot q_3}{(-0.320 \ m)^2}[/tex]
[tex]3.01 \ \mu N= q_3 \cdot \left ( \dfrac{k \cdot (-4.10 \ nC) }{(0.250 \ m) ^2} + \dfrac{k \cdot 2.20 \ nC }{(-0.320 \ m)^2} \right) = -\dfrac{14117 \ nC \cdot K}{320}[/tex]
[tex]\therefore q_3 = 3.01 \ \mu N \times -\dfrac{320 \ m^2}{14117 \ nC \cdot K}[/tex]
K = 9 × 10⁹ N·m²·C⁻²
[tex]\therefore q_3 = 3.01 \ \times 10^{-6} \ N \times -\dfrac{320 \ m^2}{14117 \times 10^{-9} \ C \times 9 \times 10^9 \ N \cdot m^2 \cdot C^{-2}}= -7.58 \ nC[/tex]
q₃ ≈ -7.58 nC
2) Given that the negative charge, 'q₁' (-4.10 nC), is located at x = 0.250 m, which is on the positive, '+' side of the origin, it will repel the negatively charged 'q₃', to the '-' direction. q₃ will also be attracted to the '-' direction by the positively charged 'q₂' which is at -0.320 m on the negative side of the origin
The net force's direction on q₃ will be in the '-' direction
3) For zero net force, we have;
The distance between the given point charges, r = 0.250 - (-0.320)) = 0.57 m
Let 'r1' represent the distance between 'q1' and 'q3', therefore, the distance between 'q2' and 'q3' is 0.57 - r1
By substitution, we have;
[tex]0 \ N= q_3 \cdot \left ( \dfrac{k \cdot (-4.10 \ nC) }{(0.57 - r_1 ) ^2} + \dfrac{k \cdot 2.20 \ nC }{(r_1)^2} \right)[/tex]
[tex]\therefore \dfrac{k \cdot 4.10 \ nC }{(0.57 - r_1 ) ^2} = \dfrac{k \cdot 2.20 \ nC }{(r_1)^2}[/tex]
From which we have;
[tex]\dfrac{4.10 \ nC }{(0.57 - r_1 ) ^2} = \dfrac{2.20 \ nC }{(r_1)^2}[/tex]
(r₁)²×4.10 = 2.20 × (0.57 - r₁)²
From the above equation, we have;
95,000·r₁²+ 125,400·r₁-35739 = 0
Solving, using a graphing calculator we get;
r₁ ≈ 0.241 or r₁ ≈ -1.561
Where, 'r₁', is measured from 'q₂', therefore, we have;
r₁ = 0.241 + (-0.320) ≈ -0.079 or r₁ = -1.561 + (-0.320) ≈ -1.881
Therefore, the charge 'q₃' can be placed at x = -0.079 or x = -1.881 for the ne force on it to be zero
A boy kicks a football with a force of 420.0 N for a time of 22.3 s. What is the impulse and change in momentum?
Answer:
the impulse and change in momentum of the football is 18.83 N/s.
Explanation:
Given;
applied force, F = 420 N
time of force action, t = 22.3 s
The impulse and change in momentum of the football is calculated as;
J = ΔP = [tex]\frac{F}{t}[/tex]
where;
J is the impulse
ΔP is the change in momentum
J = ΔP = [tex]\frac{F}{t}= \frac{420}{22.3} = 18.83 \ N/s[/tex]
Therefore, the impulse and change in momentum of the football is 18.83 N/s.
decribe an experiment to show that pressure increase with decrease in the area of surface
Answer:
for example the studs are made in football player boot because to increase pressure with descrease in area of surface
PLS ANSWER FAST WILL GIVE BRAINLEST!!!
If a 25kg car accelerates at a speed 100m/ s2 s2, what will the force of the car be?
Plug in the numbers: Force=mass x acceleration
Answer:
2500 Newtons
Explanation:
If force equals the mass × acceleration then all should be quite simple
25kg is the mass of your car
100 m/s/s is the acceleration of you car
25kg • 100m/s/s = 2500 Newtons
Answer:
[tex]\boxed {\boxed {\sf 2500 \ Newtons }}[/tex]
Explanation:
The formula for force is the product of mass and acceleration.
[tex]F=m*a[/tex]
The mass of the car is 25 kilograms and the acceleration is 100 meters per square second. So,
[tex]m= 25 \ kg \\a= 100 \ m/s^2[/tex]
Substitute the values into the formula.
[tex]F= 25 \ kg * 100 \ m/s^2[/tex]
Multiply.
[tex]F= 2500 \ kg*m/s^2[/tex]
1 kilogram meter per square second is equal to 1 NewtonOur answer of 2500 kg*m/s² is equal to 2500 Newtons[tex]F= 2500 \ N[/tex]
The force of the car is 2500 Newtons.
PLS ANSWER FAST THIS IS TIMED TEST AND WILL GIVE BRAINLY!!!
Answer using mass m= F divided by a
Also use kilograms [kg]
A cannonball accelerates at 1000 m/s2 from an applied force of 5000 N . What is the mass of the cannonball?
Answer:
mass is 5 kg
Explanation:
F=m/a
M=f/a
F=5000
a=1000
5000/1000=5
Eating soda is used while cooking rice in the hotels ? why?
Answer:
because it helps to neutralize acid in our body.
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP I WILL GIVE BRAINLIST
The specific heat capacity of the liquid:
The latent heat of fusion
The specific heat capacity of the solid
The specific heat capacity of the vapor
The latent heat of vaporization
Answer:
For liquid at room temperature and pressure, the value of specific heat capacity (Cp) is approximately 4.2 J/g°C.
Explanation: This implies that it takes 4.2 joules of energy to raise 1 gram of water by 1 degree Celsius. This value for Cp is actually quite large. This (1 cal/g.
Energy does / does not change the phase of matter.
Answer:
does
Explanation:
What is the smallest part of an element?
A. A neutron
B. An atom
C. An electron
D. A proton
HELPPPO
simple machines are in a mousetrap
Answer:
A mousetrap makes use of a simple machine called a lever.
Explanation:
In a second-class lever the effort force is at the other end, with the load in the middle. In a third-class lever, the load is at the end and the effort force is between the fulcrum and the load. When you set the mousetrap, you are using a second-class lever. Sorry if I get this wrong. I am in 5th grade! ♥
John slides down a hill at a 4 m height initially at rest. If all energy is conserved and friction is excluded, what is John's velocity at the bottom of the ramp?
The velocity at the bottom : v = 8.85 m/s
Further explanationGiven
height of the hill = 4 m
Required
The velocity at the bottom
Solution
The law of conservation energy :
ME₁=ME₂
(PE+KE)₁ = (PE+KE)₂
initially at rest⇒vo=0⇒KE₁=0
At the bottom⇒h=0⇒PE₂=0
So the equation becomes :
PE₁=KE₂
mgh=1/2.mv²
gh = 1/2v²
[tex]\tt v=\sqrt{2gh}[/tex]
v = √2x9.8x4
v = 8.85 m/s
How many seconds would it take to drive to Miami if I go 75 mph the whole way? (use 675 miles for the distance)
Answer:
32,400 seconds
Explanation:
675 (distance) / 75 mph = 9 hours of driving.
9 hours x 60 minutes = 540 minutes.
540 minutes x 60 seconds = 32,400 seconds
describe three small changes that you can make to your current eating habits to support a healthier lifestyle.
Answer: Eat only when you're truly hungry instead of when you are tired, anxious, or feeling an emotion besides hunger.
Plan meals ahead of time to ensure that you eat a healthy well-balanced meal.
Keep more fruits, low-fat dairy products (low-fat milk and low-fat yogurt), vegetables, and whole-grain foods at home and at work.
Explanation:
Answer:
I know that some foods have a lot of sugar. I read online that I don’t need any more than 25 grams of added sugar a day. One kind of pop that I like to drink has 40 grams of sugar per can. I can start by drinking less pop. Next, I learned that some food makers are now putting nutrition keys on the front of their boxes. I love all kinds of breakfast cereal, so I can use the nutrition key to compare brands. Cereal high in fiber is good, but cereal high in sugar isn’t. I’ll be more careful, too, when ordering fast food. Sometimes fast-food places want to change the size of my order from medium to large for a higher price. From now on, I won’t pick the bigger meal. Picking the medium-sized meal should be better for me and can even save me money.
Explanation: Plato
what do you call ends of a magnet
Answer:
The end that faces the north is called the north-seeking pole, or north pole, of the magnet. The other end is called the south pole. When two magnets are brought together, the opposite poles will attract one another, but the like poles will repel one another.
Explanation:
I hope this helps and pls mark me brainliest :)
What equation/formula would you use to find the distance an object traveled?
a.distance = s x t
b.distance = s/t
c.distance = t/s
Answer:
a. distance = s x t
Explanation:
The equation we know for speed is speed = distance/time, shortened to s = d/t
If you want to find the distance, you'd rearrange the formula to make d the subject. To isolate d, multiply by t on both sides (since it's being divided on the right. This leads to
s x t = d, with d isolated on the right side.
Therefore, to find the distance an object travelled you'd use a. distance = s x t
What are the five possible difficulties associated with ADD/ADHD?
Answer:
my cousin got that and i would say that some challenges with adhd/add is behavioral issues, meaning they dont pay attention and some people with adhd can get depressed or have anxiety also Low self-esteem.
Poor grades.
also adhd is a disability
Identify an example of conformity in your school or community. Tell what makes it an example of conformity.
Answer:
One example of conformity in my school is the wide obsession of designer clothes. Because famous people wear them kids think its cool and follow their actions.
Explanation:
According to Newton's second law, acceleration of an object depends on the mass of the object and:
a. The net weight of the object
b. The inertia of the object
c. the net force acting on the object
Answer:
C. The net force acting on the object
Explanation:
The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object. The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object.
Which type of wave interaction is shown in the diagram?
wave A
MAAAAA
wave B
MAAAA
wave A + B
PAMA
A. Destructive interference
B. Diffraction subtraction
C. Diffraction gradient
D. Constructive interference
Answer: Constructive interference
Explanation: Just took the test
examples for types of connective tissue
Plz it very important
Answer:
SPECIALISED CONNECTIVE TISSUES
dense regular connective tissue which is found in tendons and ligaments, and is shown below. ...
cartilage - (see the topic on bone and cartilage)
adipose tissue (see adipose cells)
haemopoietic tissue (bone marrow, lymphoid tissue)
blood (see the topic on blood)
Explanation:
hope you like my ans
Answer: Types of Connective Tissue
Cartilage. Cartilage is a type of supporting connective tissue.
ex:Hyaline cartilage, Hyaline cartilage, Elastic cartilage
Bone. Bone is another type of supporting connective tissue.
ex; Spongy bone, Compact bone
Adipose. Adipose is another type of supporting connective tissue that provides cushions and stores excess energy and fat.
Blood.
ex;Lymph
Hemapoetic/Lymphatic.
Elastic.
Fibrous
A refrigerator having a power rating of 350W operates for 12 hours a day. calculate the cost of electrical energy to operate it for 30 days. the rate of electrical energy is rs4.50 per kWh. calculate the minimum fuse rating to be put in the refrigerator circuit if the supply voltage is 240V.
Answer:
See the answers below.
Explanation:
The cost of energy can be calculated by multiplying each given value, a dimensional analysis must be taken into account in order to calculate the total value of the cost in Rs.
[tex]Cost=0.350[kW]*12[\frac{hr}{1day}]*30[days]*4.5[\frac{Rs}{kW*hr} ]=567[Rs][/tex]
The fuse can be calculated by knowing the amperage.
[tex]P=V*I[/tex]
where:
P = power = 350 [W]
V = voltage = 240 [V]
I = amperage [amp]
Now clearing I from the equation above:
[tex]I=P/V\\I=350/240\\I=1.458[amp][/tex]
The fuse should be larger than the current of the circuit, i.e. about 2 [amp]
What is the final temperature of 5kg of water, with an initial temperature of 5oC, after 50kJ of energy has been transferred to it. The specific heat capacity of water is 4200 J/kgoC
Answer:
[tex]T_f=7.38^{\circ}[/tex]
Explanation:
Given that,
Mass, m = 5 kg
Initial temperature of water, [tex]T_i=5^{\circ} C[/tex]
Heat transferred, Q = 50 kJ = 50,000 J
The specific heat capacity of water is 4200 J/kg°C
We need to find the final temperature of the water. The heat transferred in the process is given by :
[tex]Q=mc\Delta T\\\\Q=mc(T_f-T_i)\\\\\dfrac{Q}{mc}+T_i=T_f\\\\T_f=\dfrac{50000}{5\times 4200}+5\\\\T_f=7.38^{\circ}[/tex]
So, the final temperature of water is [tex]7.38^{\circ}[/tex].
A pole 10 m long lies on the ground next to a barn that is 8 m long. AN athlete picks up the pole, carries it far away and then runs with it towards the barn at speed 0.8c. The athlete's friend remains at rest, standing by the open door of the barn.
Answer:
okay
Explanation:
but what is the question here?
A man fled 360 J of work as he pushes a crate 12.31 meters. How much force does he use? Round your answer to 2 decimal places.
Answer:
force*distance=work
Explanation:
force=work/distance
What is the reaction time
Answer:
"Mental chronometry"Explanation:
Reaction time is a measure of how quickly an organism can respond to a particular stimulus. ... Many factors have been shown to affect reaction times, including age, gender, physical fitness, fatigue, distraction, alcohol, personality type, and whether the stimulus is auditory or visual."Hope this is fine for you"What type of wave is this ?
select one popular music either OPM or from other countries that you like most. a.why you like this music/song? b.What is the message/s of this song that affect you most? c.if you will be the writer of this song, will you change the title or not? why?
Answer:
my favourite song is hym to the sea. That song reminds me of the innocent people who lost their lives in titanic a century ago. If I was the writer of that song ,i would not change the title of that song because I can feel the sound of ocean when I listen to that song.
can someone help me please
Answer:
time
Explanation:
Answer:
hour measure time so their for it is time
How can the President check Congress' power to make law?
Group of answer choices. MUST PROVIDE EVEDENCE OR I WILL REPORT AND POINTS WOULD BE TAKEN AWAY
A. Congress can override the veto to get the law on health care passed.
B. The President can call a special session to extend Congress to get his law passed.
C. The President can approve or veto laws created by Congress.
D. The Congress can vote to 'ignore' the President's wishes.
Answer:
The President may veto bills Congress passes, but Congress may also override a veto by a two-thirds vote in both the Senate and the House of Representatives. Article I of the Constitution enumerates the powers of Congress and the specific areas in which it may legislate.
so its eaither A or C hope that helped sorry if a m wrong
Explanation:
KIIS FM broadcasts at 102.7 MHz, what is the wavelength of that radio wave?
Answer:
2.92 m
Explanation:
As we know, frequency × Wavelength = Speed of light
so here frequency of 102.7 MHz can be written as 102.7× 10⁶ Hz..
So Lambda (wavelength) = 3×10⁸/ 102.7 × 10⁶ which gives 2.92 metres or 2.92 × 10¹⁰ Å
A negative charge of 0.198 C exerts an attractive force of 83,506 N on a second charge that is 3,004 m away. What is the magnitude of the second charge? ( solve for one of the charges)
Answer:
-606.73C
Explanation:
According to coulombs law
F = kq1q2/r^2
Substitute the given value
83,506 = 9*10^9(-0.198)q2/(3004)^2
83,506 = -1.242*10^9q2/9,024,016
-1.242*10^9q2 = 7.54*10^11
q2 = -7.54*10^11/1.242*10^9
q2 = -606.73C
hence the magnitude of the other charge is -606.73C