[tex]\large{\bf{\gray{\underline{\underline{\orange{Given:}}}}}}[/tex]
Mass of rifle = 4kg
Mass of bullet = 50g = 0.05kg
Initial velocity of bullet = 35m/s
[tex]\large{\bf{\gray{\underline{\underline{\green{To\:Find:}}}}}}[/tex]
Recoil velocity of rifle.
[tex]\large{\bf{\gray{\underline{\underline{\pink{Solution:}}}}}}[/tex]
Recoil velocity of rifle is given by
[tex]\dag\:\boxed{\bf{\purple{V=-\dfrac{mv}{M}}}}[/tex]
M denotes mass of riflem denotes mass of bulletv denotes velocity of bullet[tex]:\implies\sf\:V=-\dfrac{mv}{M}[/tex]
[tex]:\implies\sf\:V=-\dfrac{0.05\times 35}{4}[/tex]
[tex]:\implies\sf\:V=-\dfrac{1.75}{4}[/tex]
[tex]:\implies\bf\:V=-0.437\:ms^{-1}[/tex]
[Note : -ve sign shows opposite direction]
Answer:
MgVg=MbVb.
4×Vg=0.05×35.
4Vg=1.75.
Vg=1.75/4
=0.4375 ~ 0.4m/s.
A submarine took 9 hours to complete a journey. For the first 5
hours, it travelled at an average speed of 106 km/h. For the rest
of the journey, it travelled at an average speed of 125 km/h.
What was the total distance of the journey?
Answer:
1030 km
Explanation:
t= 9 hours
t1= 5 hours
s1= 106 km/h
d1 + d2= d
t1 + t2 =t
5 hours + t2 =9 hours
t2= 5 hours - 9 hours
t2= 4 hours
s2= 125km/h
d= ?
s= d/t
s1= d1/t1
106= d1/5
d1= 106 x 5
d1= 530km
s2= d2/t
125= d2/4
d2= 125 x 4
d2= 500km
d= d1 + d2
d= 530 + 500
d= 1030km
car travels 80 meters due north in 12 seconds then the car turns around and travels 30 Mi do South in 4 seconds calculate the average speed and average velocity of the car during this 60-second interval use guess method
Answer:
1) 3.1 m/s
2) 7 m/s
Explanation:
Distance due north = 80 m
Distance due south = 30 m
Distance between north and south = (80 - 30) m = 50 m
Total time = (12 + 4) sec = 16 sec
1) Average speed = 50/16 = 3.1 m/s
2) Average velocity = Total distance/total time = (80 + 30) m/16 s = 110/16 = 7 m/s
in a hyrdo electic power plant the moving water turns the turbine creating ____________ energy.
Answer:
....................
Explanation:
................
Answer:
Mechanical Energy
Explanation:
Mechanical energy is energy possessed by motion. A hydroelectric power plant creates energy by motion.
354 cm + 64565 mm = ______________m?
Answer:
68.105m
Explanation:
Convert to meters. So,
3.54 + 64.565 = 68.105
a second class lever needs less effort to lift a heavy load.why give reason
Answer:second class lever needs less force to lift a load
Explanation: because the load is between the fulcrum/pivot point and the force. The fulcrum is far away from the force
a study where you try to observe subjects in a natural environment is a(n)
Answer:
i think it Naturalistic observation
Explanation:
Una bala de cañón se dispara horizontalmente con una velocidad inicial de 120m/s y un ángulo de elevación de 35°.Encuentra:a)su alcance maximo,b)si altura máxima,c)si tiempo maximo de vuelo
Answer:
a) x = 1353,2 m.
b) [tex]y_{max}[/tex] = 236,9 m [/tex]
c) [tex]t_{v} = 13,8 s[/tex]
Explanation:
a) El alcance máximo se puede calcular usando la siguiente ecuación:
[tex] y = y_{0} + tan(\theta)*x - \frac{g}{2}*\frac{x^{2}}{(v_{0}cos(\theta))^{2}} [/tex] (1)
En donde:
y: es la altura final = 0
[tex]y_{0}[/tex]: es la altura inicial = 0
x: es el alcance
θ: es el angulo respecto a la horizontal = 35°
[tex]v_{0}[/tex]: es la velocidad inicial = 120 m/s
g: es la gravedad = 10 m/s²
Resolviendo la ecuación (1) para x, tenemos:
[tex] x = \frac{2tan(\theta)*(v_{0}cos(\theta))^{2}}{g} = \frac{2tan(35)*(120 m/s*cos(35))^{2}}{10 m/s^{2}} = 1353,2 m [/tex]
El alcance máximo es 1353,2 m.
b) La altura máxima es:
[tex] y_{max} = \frac{v_{0}_{y}^{2}}{2g} = \frac{(v_{0}sen(\theta))^{2}}{2g} = \frac{(120 m/s*sen(35))^{2}}{2*10 m/s^{2}} = 236,9 m [/tex]
Entonces, la altura máxima es 236,9 m.
c) El tiempo de vuelo es el siguiente:
[tex]t_{v} = \frac{x}{v_{0}cos(\theta)} = \frac{1353,2 m}{120 m/s*cos(35)} = 13,8 s[/tex]
Por lo tanto, el tiempo de vuelo es 13,8 s.
Espero que te sea de utilidad!
500 cm³ of water at 100°C is added to another 500 cm³ of water at a temperature of 30°C. Assuming no heat is lost to the surrounding, what is the final temperature of the mixture when thermal equilibrium is achieved?
Answer: 35 degree Celsius
Explanation: Subtract both the temperatures And divide by two.
Black object are good at?
Explanation:
Absorbing heat from the sun rather than reflecting.
How much time will have passed by the time a sample of an isotope has decayed to 6.25% of its original mass if the half-life is 15 days? 45 days 60 days 75 days 30 days
Answer:
60 days.
Explanation:
Let the original mass (N₀) = 1 g
Amount remaining (N) = 6.25% of its original mass
= 6.25% × 1
= 6.25/100 × 1
= 0.0625 g
Half life (t½) = 15 days
Time (t) =?
Next, we shall determine the rate of decay. This can be obtained as follow:
Decay constant (K) = 0.693/ half life
K = 0.693 / t½
Half life (t½) = 15 days
Decay constant (K) =?
K = 0.693 / t½
K = 0.693 / 15
K = 0.0462 / day
Finally, we shall determine the time taken for the sample of the isotope to decay to 6.25% of its original mass.
This can be obtained as follow:
Original amount (N₀) = 1 g
Amount remaining (N) = 0.0625 g
Decay constant (K) = 0.0462 / day
Time (t) =?
Log (N₀/N) = Kt/2.3
Log (1/0.0625) = 0.0462 × t / 2.3
Log 16 = 0.0462 × t / 2.3
1.2041 = 0.0462 × t /2.3
Cross multiply
0.0462 × t = 1.2041 × 2.3
Divide both side by 0.0462
t = (1.2041 × 2.3)/0.0462
t = 59.9 ≈ 60 days
Therefore, the time taken for the sample of the isotope to decay to 6.25% of its original mass is 60 days
Super fine 40-gauge copper wire has a diameter of only 0.080mm and weighs only 44.5/gkm. Suppose a spool of 40-gauge wire weighs 570.g less after some wire is pulled off to wind a magnet. How could you calculate how much wire was used? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.
Answer:
[tex]Amount\ of\ wire\ used=\frac{M}{44.5\ g/km}[/tex]
mount of wire used=12.808989 Km
Amount of wire used=12808.989 m
Explanation:
Given Data:
Diameter of wire=d=0.080 mm=0.00008 m
Weight of wire per unit length=44.5 g/km
Spool weighs=M=570 g
Required:
Amount of wire used=L=?
Solution:
Formula is:
[tex]Amount\ of\ wire\ used=\frac{Spool\ weighs}{Weight\ per\ unit\ length}[/tex]
[tex]Amount\ of\ wire\ used=\frac{M}{44.5\ g/km}[/tex]
The above expression is mathematical model of finding how much wire is used. just put the Value of M we will get the answer.
[tex]Amount\ of\ wire\ used=\frac{570\ g}{44.5\ g/km}[/tex]
Amount of wire used=12.808989 Km
Amount of wire used=12808.989 m
One of the descriptions below is from the perspective of anatomical study, the rest are from a physiological perspective. Select the description below that comes from
an anatomical perspective
Answer:
The innermost lining of the lungs is composed primarily of thin tissue cakes simple squamous epithelium.
Explanation:
Which statements are included in the kinetic theory of matter? Select all that apply.
Answer:
There is empty space between matter's particles.
Matter's particles are in constant random motion or vibration.
Matter is made of small particles.
Explanation:
A potassium atom (atomic number 19) and a bromine atom (atomic number 35) can form a chemical bond through a transfer of one electron. The potassium ion that forms has 18 electrons.
Answer:
it will give one electron to the bromine atom, so the bromine atom will have 36 electrons. this is an ionic bonding
Explanation:
Answer:
The answer is C. I took the test and got it Right
Explanation:
The nucleus of the atom composed of what subatomic particle(s)? A Neutrons and Electrons B Protons and Neutrons C Protons and Electrons D Protons and Electrons
Answer:B Protons and Neutrons
Explanation:
The nucleus of the atom discovered in 1911 by Ernest Rutherford from the Geiger–Marsden gold foil experiment consists of protons and neutrons at the center of the atom which are are bound together by a nuclear force.
The nucleus has two basic properties which are the mass and charge of which the proton is positively charged having +1 and the neutron having a neutral charge at zero . Both are denoted with mathematical numbers: Z- proton and N-neutron and their addition gives the mass number,A.
Both protons and neutrons have a mass of 1 amu.
A toy rocket travels at an initial velocity of 144 feet per second. The height of the rocket can be modeled by the function h(t)-144t-16t^2 where t is the time in seconds. When will the rocket return to the ground?
Answer:
t = 4.5 second
Explanation:
A toy rocket travels at an initial velocity of 144 feet per second. The height of the rocket can be modeled by the function as follows :
[tex]h(t)=-16t^2+144t[/tex]
t is time in seconds
We need to find the time when the rocket return to the ground.
When it reaches ground, h(t) = 0
So,
[tex]-16t^2+144t=0\\\\t(-32t+144)=0\\\\t=0\ \text{and} -32t+144=0\\\\t=0\ \text{and}\ t=4.5\ s[/tex]
So, at 4.5 second the rocket will return to the ground.
1) Find out the equivalent resistance.
2) find out all the current's in every resistors.
3) find out the voltage in resistor 1 and 4.
Answer:
1) 2.388ohms
2) R1 3.36A
R2 1.682A
R3 2.88A
R4 2.16A The current has 5.048A over all
3) Voltage in R1 is 3.36v
Voltage in R4 is 8.63v
Explanation:
1. Each of the resistance R1 and R2 are in parallel in series combination with R3 and R4 so we calculate
R1 and R2 which is 1×2÷(1+2)= 0.6667ohms
R3 and R4 which is 3×4÷( 3+4)= 1.71ohms
so the equivalent resistance is 0.667+ 1.71= *2.377ohms*
2. The overall current = voltage source ÷ total resistance
= 12÷ 2.377= 5.048Amps
so current in every resistor will be
current in 1ohms will be (2÷3)×5.048= 3.36Amps
current in 2ohms will be (1÷3)×5.048= 1.68Amps
current in 3ohms will be (4÷7)×5.048= 2.88amps
current in 4ohms will be (3÷7)× 5.048= 2.16amps
3. voltage in R1 is 0.667ohms × 5.048amps= 3.36v
voltage in R4 is 1.71ohms × 5.048amps= 8.63v
HELP ME PLEASE !!!!!!!!!!!!!!!!!
Answer:
Option D. 6.1 m/s²
Explanation:
We'll begin by calculating the acceleration due to gravity in each case. This is illustrated below:
1. For Rock:
Mass (m) = 20 g
Force (F) = 0.1224 N
Acceleration due to gravity (g) =?
Next, we shall convert 20 g to kg. This can be obtained as follow:
1000 g = 1 kg
Therefore,
20 g = 20/1000
20 g = 0.02 kg
Finally, we shall determine the acceleration due to gravity as follow:
Force of gravity (F) = mass (m) x Acceleration due to gravity (g)
F = mg
Mass (m) = 0.02 kg
Force (F) = 0.1224 N
Acceleration due to gravity (g) =?
F = mg
0.1224 = 0.02 × g
Divide both side by 0.02
g = 0.1224/0.02
g = 6.12 m/s²
2. For Grain of sand:
Mass (m) = 0.8 g
Force (F) = 0.00501 N
Acceleration due to gravity (g) =?
Next, we shall convert 0.8 g to kg. This can be obtained as follow:
1000 g = 1 kg
Therefore,
0.8 g = 0.8/1000
0.8 g = 0.0008 kg
Finally, we shall determine the acceleration due to gravity as follow:
Force of gravity (F) = mass (m) x Acceleration due to gravity (g)
F = mg
Mass (m) = 0.0008 kg
Force (F) = 0.00501 N
Acceleration due to gravity (g) =?
F = mg
0.00501 = 0.0008 × g
Divide both side by 0.0008
g = 0.00501/0.0008
g = 6.26 m/s²
3. For Metal bolt:
Mass (m) = 79 g
Force (F) = 0.4871 N
Acceleration due to gravity (g) =?
Next, we shall convert 79 g to kg. This can be obtained as follow:
1000 g = 1 kg
Therefore,
79 g = 79/1000
79 g = 0.079kg
Finally, we shall determine the acceleration due to gravity as follow:
Force of gravity (F) = mass (m) x Acceleration due to gravity (g)
F = mg
Mass (m) = 0.079 kg
Force (F) = 0.4871 N
Acceleration due to gravity (g) =?
F = mg
0.4871 = 0.079 × g
Divide both side by 0.079
g = 0.4871/0.079
g = 6.17 m/s²
From the above calculation we obtained the following values for acceleration due to gravity (g):
Object >>>> Acceleration due to gravity
Rock >>>>> 6.12 m/s²
Sand >>>>> 6.26 m/s²
Metal >>>>> 6.17 m/s²
Thus, closest approximation of the acceleration due to gravity of the planet is 6.1 m/s²
A child rides a wagon down a hill. Eventually, the wagon comes to a stop. Which is most responsible for causing the wagon to stop
Answer:
well, the hill isn't constantly going down hill, there's an ending point or goes back up hill making a v/u shape or there's nothing helping the wagon being pushed or pull currently
Explanation:
A ship sets out to sail to a point 154 km due north. An unexpected storm blows the ship to a point 72 km due east of its starting point. How far must it now sail to reach its original destination
Answer:
170kmExplanation:
If a ship sets out to sail to a point 154 km due north and an unexpected storm blows the ship to a point 72 km due east of its starting point, then the ships distance from the original destination can be gotten by finding the displacement of the ship and this can be gotten by using pythagoras theorem.
Let D be the unknown displacement
According to the theorem;
D² = 154² + 72²
D² = 23716 + 5184
D² = 28900
D = √28900
D = 170km
This means that the ship must now sail a distance of 170km for it to reach its original destination.
Help pleasei really need help it is hard
Answer:
A. The speed of light become slow because of the denser medium. The medium of plastic block is dencer then the medium of water. That's why the ray bend towards the incident.
B. Water has a higher optical density.
APEX What is one advantage of using primary sources when doing research on an
experiment?
A. They are summaries of many scientists' work.
B. They include the opinions of many scientists.
C. They contain more details about the experiment.
D.They are always easier to read.
Answer:
C
Explanation:
They are first hand sources so they are more reliable and detailed...
One advantage of using primary sources when doing research on an
experiment is they contain more details about the experiment. The correct option is C.
What are primary sources?Primary sources are the one which are first hand sources. They are more reliable, so they are more reliable and detailed about the experiment.
Primary sources are the sources which produce their own energy to let other objects emit the same. Just like, Sun, it has has its own light and heat energy. It is reliable and can be experimented with more details.
Thus, the correct option is C.
Learn more about primary sources.
https://brainly.com/question/24511160
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A poster is 0.95m high and 1.0m wide how many digits follow the decimal point when the perimeter of the poster is expressed with the correct number of significant figures
A) zero digits
B) one digit
C)two digits
D)three digits
Explanation:
It is given that,
Length of the poster, l = 0.95 m
Breadth of the poster, b = 1 m
The poster is in the shape of rectangle. For a rectangular shape, perimeter is equal to :
P = 2(l+b)
P=2(0.95+1)
P=3.9 m
(b) One digits, P = 4 m
(c) Two digits, P = 3.9 m
(d) Three digits, P = 3.90 m
5. Lady Gaga needed someone to buy more meat for her meat dress. The famous
meat dress store is 40 miles from her house. Gaga drives a monster truck that gets
8000 meters per gallon. She only has 3 gallons of gas in her tank How many
miles can Gaga travel in her monster truck with only 3 gallons? Does Gaga have
enough gas to get to the store? If not, how far can she travel in meters?
Answer:
she can travel 24000 meters she cant reach the store she can get as much as 125 miles
Explanation:
Which items in this image are electrically conductive? Check all that apply.
Answer: a and d
Explanation: A.) the power lines themselves
B.) the wooden pole that supports the lines
C.) the rubber soles on the worker’s boots
D.) the metal tools the worker uses
E.) the wooden ladder leaning against the lines
Highest molecular motion, highest kinetic energy, no forces of attraction, least dense packaging of molecules."Which state of matter is defined by this description?
Answer: Plasma
Explanation:
Plasma is a state of matter that consists of hot ionized gas. It should also be noted that plasma contains negatively charged electrons and positive ions.
Therefore, Highest molecular motion, highest kinetic energy, no forces of attraction, least dense packaging of molecules describes plasma.
1) An astronaut has a mass of 40Kg. Calculate his weight on earth if Gravity (g) = 10m/s^2.
2) The same astronaut goes to the International Space Station. Here the gravitational pull is equal to .5 m/s^2. Calculate his weight.
3) Our astronaut friend is assigned to study a neutron star. He travels to the surface using a special suit. Here the gravitational force is terrible at 150m/s^2 What is the astronaut’s weight?
Answer:
The formula is W=mg.
1.) W=40×10=400.
2.)W=40×5=200.
3.)W=40×150=6000.
Which option is a force?
O A. Mass
O B. Velocity
O C. Acceleration
O D. Weight
Answer:
Weight is a force.
Explanation:
Force acting on an object is defined in terms of mass and its acceleration. Its mathematical force is given by
F = ma
Weight of an object is force that the Earth exerts on an object. It can be given by the formula as follows :
W = mg
g is acceleration due to gravity on the surface of earth
Hence, the correct option is (d).
solve this questions please
Answer:
10.37×10³j
Explanation:
hope this helps you !!!
Compute the magnitude of the magnetic field of a long, straight wire carrying a current of 1 A at a distance of 1 m away from it. Compare it with the Earth's magnetic field.
Answer:
Explanation:
Magnetic field due to a long wire
B = μ x 2I / 4π r where I is current and μ / 4π = 10⁻⁷ , r is distance from the wire
Putting the values
B = 10⁻⁷ x 2 x 1 / 1
= 2 x 10⁻⁷ T .
earth's magnetic field = 45 x 10⁻⁶ T = 450 x 10⁻⁷
So the magnetic field is 225 times less strong than earth's magnetic field .