Answer:
v₂ = 1.8 [m/s]
Explanation:
To be able to solve this problem we must raise the principle of conservation and quantity of movement. It is going to study the momentum before and after the firing of the rifle.
P = m*v
where:
P = momentum [kg*m/s]
m = mass [kg]
v = velocity [m/s]
Now we need to analyze the moment before and after the shot.
[tex](m_{1}+m_{2})*v_{1}=-(m_{1}*v_{2})+(m_{2}*v_{3})[/tex]
where:
m₁ = mass of the rifle = 5 [kg]
v₁ = velocity of the rifle and the bullet before firing = 0 (no movement)
m₂ = mass of the bullet = 15 [g] = 0.015 [kg]
v₂ = velocity of recoil [m/s]
v₃ = velocity of the bullet after firing = 600 [m/s]
Now replacing:
[tex](5+0.015)*0 = -(5*v_{2})+(0.015*600)\\9 = (5*v_{2})\\v_{2}=1.8 [m/s][/tex]
Momentum is the product of mass and velocity. The recoil velocity of the rifle weighing 5 kg is 1.8 m/s.
What is conservation of momentum?According to the law of conservation of momentum if two objects are in contact with each other then for that system of the two objects the momentum of the object before will be equal to the momentum of the object after the collision.
GIven to us
Mass of the rifle, M = 5 kg
Mass of the bullet, m = 15 g = 0.015 kg
Velocity of the bullet afterwards, v₂ = 600 m/s
We know that according to the law of conservation of momentum, the momentum of the bullet and riffle before shooting will be equal to the momentum of the bullet and riffle after shooting.
[tex]Mu_1 + mu_1 = Mv_1 + mv_2[/tex]
Since, before shooting the bullet was in the riffle and the velocity of both was 0,
[tex]M(0) + m(0) = Mv_1 + mv_2\\\\-Mv_1 = mv_2\\\\v_1 = -\dfrac{m \times v_2}{M}[/tex]
Substitute the values,
[tex]v_1 = -\dfrac{0.015 \times 600}{5}\\\\v_1 = -1.8\rm\ m/s[/tex]
Thus, the recoil of the rifle is -1.8 m/s, the negative sign denotes that the velocity of recoil was in opposite direction to the bullet.
Hence, the recoil velocity of the rifle weighing 5 kg is 1.8 m/s.
Learn more about Momentum:
https://brainly.com/question/4956182
Marc was told his dinner would be ready at 18:00. He left his house at 12:00 and travelled in his car at an average speed of 45mph to his mum's house 300 miles away. Did Marc make it home in time for dinner
Answer:
No
Explanation:
No, Marc did not make it on time for dinner.
The time duration between 12:00 and 18:00 is 6 hours.
Total distance that needs to be covered from his house to his mum's house and back = 300 miles x 2 = 600 miles
Time that would be needed to cover 600 miles to his mum's house at an average speed of 45 mph = distance/speed
= 600/45
= 13.33 hours
The required time to cover the distance by Marc is approximately 13.33 hours. If he leaves the house by 12:00, he will definitely not get back 6 hours after. Hence, he could not have made it for dinner.
Name 10 transition metals
Answer:
Scandium (Sc), Titanium (Ti), Vanadium (V), Chromium (Cr), Manganese (Mn), Iron (Fe), Cobalt (Co), Nickel (Ni), Copper (Cu)
Explanation:
the transition element or transition metal occupy the short columns in center of the periodic table, between Group 2A and Group 3A
1Which of the following components of blood would you expect to see in higher
numbers at a site of infection?
a. Red Blood Cells
b. White Blood Cells
C. Platelets
d. Plasma
HELP ASAP!!!!!!! PLEASE WILL GIVE BRAINLIEST
Define organelles and explain their general function in a cell
Answer:
They carry out essential functions that are necessary for the survival of cells – harvesting energy, making new proteins, getting rid of waste. Hope this helps!
Explanation:
I organelles is a specialized subunits with a specific cell, their general function is to store genetic information
_____ is the force of attraction between objects that have mass.
Which of the following exhibit parabolic motion?
a flat rock skipping across the surface of a lake
a three-point shot in basketball
an airplane in flight at a steady cruising altitude
a ball bouncing across the room
a life preserver dropped from a stationary helicopter
Answer:
A
Explanation:
Hopefully this helps
Which two elements would most likely form an ionic compound?
a
From the Periodic Table of Elements - #6 carbon and #8 oxygen
b
From the Periodic Table of Elements - #3 lithium and #9 fluorine
c
From the Periodic Table of Elements - #1 hydrogen and #7 nitrogen
d
From the Periodic Table of Elements - #5 boron and #10 neon
Answer:
boron and neon.
Explanation:
two element compounds are usually ionic when one element is a metal and the other is a non-metal. boron is a metal, whereas neon is a non-metal. i might be wrong but hope it helps.
A mirror forms an erect image of 30 cm from the object and a fifth of its height. Where must the mirror be situated? What is its radius of curvature? Assuming the object is to be real, determine whether it is convex or concave
concave
Explanation:
convex would magnify
help!! i need to know which letter has the highest speed, the middlest speed and the lowest speed!!
Answer:
From highest speed to lowest speed:
A, C, B
Explanation:
On a position time graph, the slope of a line would represent the velocity, since the rate of change represents how many meters traveled in the given time.
The larger the slope, the faster the velocity; the steeper the line, the faster the speed.
Since line B is negative, you know that velocity is negative so it automatically has the lowest speed.
Out of lines A and C, since A is steeper, you know that A has a faster speed.
In conclusion:
A is the fastest
C is the middle
B is the slowest
6. Why does sound travel faster through a steel bar than through a swimming pool filled with water?
Water is a denser medium than steel.
Water has a larger wavelength than steel.
Steel has a larger wavelength than water.
Steel is a denser medium than water.
If I hold an .63kg basketball 2 meters above the
ground, how much potential energy does it have?
If I drop the basketball from this height, how
much kinetic energy would it have right before it hits the floor?
Answer:
P.E.= 12.348 joules
K.E.=1.26 joules
Explanation:
A bicyclist initially at rest, begins pedaling and gained speed steadily for 4.80s during which she covers 37.0m What was her final speed?
Answer:
The final speed of the bicyclist is 15.44 m/s.
Explanation:
Given;
initial velocity, u = 0
time of motion, t = 4.8 s
distance covered, d = 37.0 m
The acceleration of the bicyclist is calculated as;
d = ut + ¹/₂at²
37 = 0 + ¹/₂(4.8)²a
37 = 11.52a
a = 37 / 11.5
a = 3.22 m/s²
The final speed of the bicyclist is given as;
v² = u² + 2ad
v² = 0 + 2(3.22)(37)
v² = 238.28
v = √238.28
v = 15.44 m/s
Therefore, the final speed of the bicyclist is 15.44 m/s.
will give brainliest if they answer is correct
Answer:
When a motorcycle takes a turn, centrifugal force—in this case, friction between the tires and the road—pushes it towards the center. This basic physics explains why riders can lean into turns without falling. However, when an outside force disrupts or unbalances these forces, the vehicle crashes. that is the only one that I can answer for you. :)
Answer:
Explanation:
This question needs more information (Sedan)
a projectile is fixed from ground level with a velocity 500m/s at 30 degree to the horizontal .find its horizontal range, the greatest height and time to reach the greatest height.
Answer:
1. 22092.31 m
2. 3188.78 m
3. 25.51 s
Explanation:
Let's split this projectile's motion into its horizontal and vertical components:
Horizontal (v_x) component: 500 * cos(30)Vertical (v_y) component: 500 * sin(30)Since this projectile is in constant acceleration (9.8 m/s² vertically downwards and 0 m/s² horizontally), we can use the kinematic equations for constant acceleration.
Let's find the time it takes for the projectile to reach its greatest height first by using our knowledge that, at the top of its trajectory, the projectile will have a final velocity of 0 m/s before changing its direction and falling down.
Therefore, we can use the equation that contains the variables a_y, v_f, v_i, and t in order to solve for time t.
This equation is: v = v_0 + at, where v is the final velocity, v_0 is the vertical component of the initial velocity, a is the acceleration in the y-direction, and t is the time of flight of the projectile.
Plug known values into the equation:
0 = 500 * sin(30) + (-9.8)tSubtract 500 * sin(30) from both sides of the equation.
-500 * sin(30) = -9.8tDivide both sides by -9.8.
t = 25.51The time it takes the projectile to reach its greatest height is 25.51 seconds.
Now we can use this time t to find the greatest height of the object, which will be the displacement in the y-direction at t = 25.51 seconds.
We can use this equation that contains the variables displacement (Δx), initial velocity (v_0), acceleration (a_y), and time (t):
Δx = v_0 t + 1/2at²Plug known values into the equation.
Δx = [500 * sin(30)] * 25.51 + 1/2(-9.8)(25.51)² Δx = 6377.5 + -4.9 * 650.7601 Δx = 6377.5 + -3188.72449 Δx = 3188.77551The displacement in the y-direction is 3188.78 m at half the time t, meaning that this is the greatest height of the projectile.
Now we can find the horizontal range of the projectile by using the same equation, but this time in the x-direction.
Δx = v_0 t + 1/2at²We will use the x-component of the initial velocity and the acceleration in the x-direction, which is always 0 m/s² assuming air resistance is negligible. Note that the time we have above (25.51 sec) is only half the total time, so we will use double this time (51.02 sec).
Δx = [500 * cos(30)] * 51.02Δx = 22092.31The horizontal range of the projectile is 22092.31 m.
Which has a charge with the greatest magnitude?
An object with charge 0
An object with charge -2
An object with charge-3
An object with charge +2
Answer:
an object with charge -3
Which one is it i need this for my credit recovery
How are water scarcity and water pollution related?
Water pollution contributes to water scarcity.
Water pollution is a solution to water scarcity.
Water scarcity is a solution to water pollution.
Water scarcity contributes to water pollution.
Answer:
A. Water pollution contributes to water scarcity.
Explanation:
Water pollution occurs when materials are disposed in water body, thus making it unfit for use. A polluted water can not be used for various purposes that water can be used for. Examples include: recreation, drinking, washing etc.
Water scarcity is the situation when available water is not sufficient for the use of organisms in a community. This majorly occurs in arid area.
Thus, since a polluted water renders water to be useless, therefore water pollution contributes to water scarcity.
Answer:
Water contributes to water scarcity
Explanation:
pls nobody has ever given me brainiest pls give me brainliest
The argument against your claim (what the other side would say if they disagreed with your claim.) is:
Group of answer choices
counterclaim
author's purpose
opinion
argument
Answer:
a counterclaim
Explanation:
authors purpose is what an author wrote somthing for
opinion is someones thoughts or "side" on a argument
an arguement is a battle of opinions if that makes sense
The mass of a piece of metal is 1200g A measuring cylinder contains 150cm3 of water. The piece of metal is
put into the measuring cylinder. The water level rises to 250cm3 and covers the metal,
What is the density of the metal?
Answer:
The density of the metal is [tex]12\ gr/cm^3[/tex]
Explanation:
Density
The density of a substance is the mass per unit volume. The density varies with temperature and pressure.
The formula to calculate the density of a substance of mass (m) and volume (V) is:
[tex]\displaystyle \rho=\frac{m}{V}[/tex]
The piece of metal has a mass of m=1200 gr. When the piece of metal is submerged in a measuring cylinder, the water level rises from 150 cm3 to 250 cm3. This means the piece of metal occupies a volume of V=250 cm3-150 cm3=100 cm3.
The density is:
[tex]\displaystyle \rho=\frac{1200}{100}[/tex]
[tex]\rho=12\ gr/cm^3[/tex]
The density of the metal is [tex]\mathbf{12\ gr/cm^3}[/tex]
Joey throws a football 30 meters with a force of 10 N. How much work
does Joey do?
Answer:
300 Joules
Explanation:
Just use the Work formula:
W = F . D
W = 10 . 30
W = 300 Joules
HELP ASAP!! WILL TRY TO GIVE BRAINLIEST
Describe chromatin and how it changes.
Answer:
Chromatin is a mass of genetic material composed of DNA and proteins that condense to form chromosomes during eukaryotic cell division. Chromatin is located in the nucleus of our cells . The primary function of chromatin is to compress the DNA into a compact unit that will be less voluminous and can fit within the nucleus.
I hope this helps
Explanation:
Answer: Me again! Chromatin is a complex of DNA and proteins that forms chromosomes within the nucleus of eukaryotic cells. Nuclear DNA does not appear in free linear strands; it is highly condensed and wrapped around nuclear proteins in order to fit inside the nucleus. Chromatin exists in two forms.
Explanation: Hope this helps! Happy Holidays!
A thermal cap used in certain apparatus consist of silica rod which fits tightly inside an aluminium tube whose internal diameter is 8mm at 0 degree c … elcius.Calculate what change in temperature to produce channel whose cross section equal to 1 mm
Answer:
change in temperature is a decrease by 268.734 K
Explanation:
We are given;
Temperature: T1 = 0°C = 273 K
Internal diameter; d1 = 8mm
Final diameter; d2 = 1 mm
To solve this, we will use Charles law formula since pressure is constant.
Thus;
V1/T1 = V2/T2
Where T2 is the final temperature.
Now, V1 and V2 are volume
Volume is given by: V = area x height
We are told the cross section is equal except for the diameter.
Thus;
V1 = A1 × h
V2 = A2 × h
Thus;
(A1 × h)/T1 = (A2 × h)/T2
h will cancel out and making T2 the subject, we have;
T2 = (A2 × T1)/A1
A2 = π(d2)²/4
A1 = π(d1)²/4
Thus;
T2 = [(π(d2)²/4) × T1]/(π(d1)²/4)
π and 4 will cancel out to givw;
T2 = ((d2)²× T1)/(d1)²
T2 = (1² × 273)/8²
T2 = 273/64
T2 = 4.266 K
Thus;
Change in temperature = T2 - T1 = 4.266 - 273 = -268.734 K
Thus, change in temperature is a decrease by 268.734 K
HELP AGAIN PLS
PHYSICS - I SUCK AT THIS
Answer:
You can calculate average velocity by taking the delta(x) which is the change in distance and then dividing it by the time.Hence here the tumbleweed goes from 25.6m to -14.4m. ~25.5m-(-14.4) = 39.9 m traveled 39.9m/7s= 5.7 m/sWhat nuclear process changes one element into another different element?
A
transfiguration
B
transduction
C
transmutation
D
transgeneration
According to the law of conservation of matter, the number of _______ is not changed by a chemical reaction.
A.
products
B.
molecules
C.
atoms
D.
bonds
Answer:
c
Explanation:
3) A 100kg man runs up a staircase
3 cm high in 5 seconds. How much
pouwer does he develop?
Answer:
Power = 5.88 Watt
Explanation:
Mechanical Work and Power
Mechanical work is the amount of energy transferred by a force. Its SI unit is the joule.
Being the force vector and the displacement vector, the work is calculated as:
[tex]W=\vec F\cdot \vec s[/tex]
If both the force and displacement are parallel, then we can use the equivalent scalar formula:
[tex]W=F.s[/tex]
Power is the amount of energy transferred or converted per unit of time. In the SI, the unit of power is the watt, equal to one joule per second.
The power can be calculated as:
[tex]\displaystyle P=\frac {W}{t}[/tex]
Where W is the work and t is the time.
The m=100 Kg man goes up a distance of s=3 cm = 0.03 m in t=5 seconds. To calculate the work done against gravity the weight is considered as the force:
F = m.g = 100*9.8
F = 980 N
The work is:
W = 980*0.03
W = 29.4 J
Finally, the power is:
[tex]\displaystyle P=\frac {W}{t}[/tex]
[tex]\displaystyle P=\frac {29.4}{5}[/tex]
P = 5.88 Watt
BEARS
Timothy made the model shown below to represent the steps in the formation of a torrado
Severe
thunderstorm
High winds
push
clouds
Rotation
within
thunderstorm
O2010 FLVS
Which of these best fits the empty cell in Timothy's model? (2 points)
O cool, dry air forms clouds
O cool, dry air meets warm, moist air
O water vapor condenses in douds
O water vapor evaporates from ocean
Answer: cool, dry air meets warm, moist air
Explanation:
Just did the test, it was correct
Answer:
cool, dry air meets warm, moist air
Explanation:
I took it and I pass
Find the force of gravity acting between at 1.7x10^30 kg planet with
5.5x10^20 kg moon that is 2x10^5 m away.
A) 4.0x10^30 N
B) 5.0x10^30 N
C) 4.3x10^30 N
D) 9.8x10^30 N
None of these answers are correct...
Applying the law of universal gravitation, we have
F = G m₁ m₂ / R²
where
G = 6.67 × 10⁻¹¹ N•m²/kg²
m₁ = 1.7 × 10³⁰ kg
m₂ = 5.5 × 10²⁰ kg
R = 2 × 10⁵ m
→ F = (6.67 × 1.7 × 5.5)/2² × 10⁻¹¹⁺³⁰⁺²⁰⁻¹⁰ N
→ F ≈ 15.59 × 10²⁹ N
→ F ≈ 1.6 × 10³⁰ N
A string attached to an airborne balloon was maintained at an angle of 54 degrees with the ground. If 2.3 m of string was reeled in to return the balloon back to the ground, what was the horizontal and vertical displacements
Answer:
dₓ = 1.35 m
dy = 1.86 m
Explanation:
In order to find the vertical and horizontal components of the displacement, we can assume a right triangle. Such that, the length of string is the hypotenuse, making and angle of 54° with the base of triangle. The base is the horizontal component of displacement. And the perpendicular is the vertical component of displacement. Therefore:
[tex]d_{x} = d\ Cos\ \theta[/tex]
where,
dₓ = horizontal component of displacement = ?
d = resultant displacement = 2.3 m
θ = angle between displacement and ground = 54°
Therefore,
[tex]d_{x} = (2.3\ m)\ Cos\ 54^0[/tex]
dₓ = 1.35 m
For vertical component of displacement:
[tex]d_{y} = d\ Sin\ \theta\\d_{y} = (2.3\ m)\ Sin\ 54^0[/tex]
dy = 1.86 m
what is the avarage speed during kick 1