Answer:
v₃ = 2 [m/s]
Explanation:
To solve such problems we must use the principle of conservation of momentum. That is, the linear momentum is conserved before and after the collision.
P = m*v
where:
P = linear momentum [kg*m/s]
m = mass [kg]
v = velocity [m/s]
The momentum is conserved before and after the collision, in this way we can obtain the following equation.
[tex](m_{1}*v_{1})+(m_{2}*v_{2})=(m_{1}+m_{2})*v_{3}[/tex]
where:
m₁ = mass of the cart moving = 4 [kg]
v₁ = velocity of the cart moving before the collision = 3 [m/s]
m₂ = mass of the cart initially at rest = 2 [kg]
v₂ = velocity of the cart at rest = 0
v₃ = velocity of the two carts combined (carts stick together) after the collision [m/s]
[tex](4*3)+(2*0)=(4+2)*v_{3}\\v_{3}=12/6\\v_{3}=2[m/s][/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
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 please 10 pts and quick!
Falling Faster
Imagine that you are standing on the observation deck of the Empire
State Building. You drop a hammer and a feather at the same time
over the edge of the building.
1. Will the hammer or the feather reach the ground first? Explain.
per anstre here
2. Why do the hammer and the feather fall to the ground?
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
Which of Earth's Layers is solid but still "bendable"?
Answer:
Mantlee
Explanation:
If you have a liquid with a mass of 6g and a density of 25g/ml, what volume of liquid do you have?
Hello!!
For calculate the volume of the liquid, lets applicate the formula:
[tex]\boxed{V=m/ p }[/tex]
[tex]\textbf{Being:}[/tex]
[tex]\sqrt{}[/tex] V = Volume = ?
[tex]\sqrt{}[/tex] m = Mass = 6 g
[tex]\sqrt{}[/tex] p = Density = 25 g/ml
[tex]\text{Let's \textbf{replace} and resolve: }[/tex]
[tex]V = 6 \ g / 25 \ g / m l[/tex]
[tex]V = 0,24 \ m l[/tex]
[tex]\textbf{Result:}[/tex]
The volume of the liquid is 0,24 ml.
_____ is the force of attraction between objects that have mass.
What current in a solenoid 15-cm long wound with 100 turns would produce a magnetic field equal to that of the Earth, 5 cross times 10 to the power of negative 5 end exponentT ?
Answer:
The value is [tex]I= 0.0597\ A[/tex]
Explanation:
From the question we are told that
The length of the solenoid is [tex]l = 15 \ cm = 0.15 \ m[/tex]
The number of turns is [tex]N = 100[/tex]
The magnetic field of the earth is [tex]B = 5* 10^{-5} \ T[/tex]
Gnerally magnetic field is mathematically represented as
[tex]B = \frac{\mu_o * N * I }{ l }[/tex]
=> [tex]I= \frac{Bl}{ \mu_o *N }[/tex]
=> [tex]I= \frac{ 5 *10^{-5} * 0.15}{4\pi *10^{-7} *100 }[/tex]
=> [tex]I= 0.0597\ A[/tex]
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
What is 3,278,000 as scientific notation?
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 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
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:
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:
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.
Which statement supports the idea that the Earth rotates on its axis?
A) The apparent size of the Sun changes throughout the year.
B) length of the day and night varies throughout the year
C) The seasons spring summer, fall, and winter) repeat in a cyclic mannet.
D)The stars appear to follow circular paths across the sky
Answer:
c
Explanation:
because the other would not make sense
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
The diagrams show the four primary steps in the production of work in a four-stroke heat engine.
An illustration of a internal combustion engine cylinder at four different stages. The first illustration is labeled W with red ejected out of the left valve, the second is labeled X with purple in the cylinder trapped by the piston and valves, the third is labeled Y with the piston going down and the fluid red, the last is labeled Z with purple coming into the cylinder from the right valve.
What is the correct order in which these steps occur?
Answer:
D) Z,X,Y,W
Explanation:
TOOK THE QUIZ MATE, TOOK THE MF QUIZ
Answer:
D
Explanation:
edge 21
Consider two objects have mass m1= 6kg and m2 = 0.5kg specific heat capacity c1 = c2 =4200J/kg.℃ , respectively. Assume that, first object has temperature 20℃ and second object has temperature 90℃ . After, they placed this two object touch each other. Determine the mixture temperature of substance
Answer:c=-56+ 8
Explanation:
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.
Jonas and his family are moving to another part of the city. As Jonas, his brother, and his Dad were driving one of the trucks filled with furniture to their new home, Jonas noticed that the truck seemed to take longer to stop now that it was heavier with the furniture. Which Newton's Law explains why this happens?
Answer:newtons second law
Explanation:
To get something to accelerate you have to apply a pull force . if the mass increase a grater pull is required
The law that explains the fact that a heavier truck takes a longer time to stop is Newton's law of inertia.
According to Newtons first law of motion also called the law of inertia, a body will continue in a state of rest or uniform motion unless it is acted upon by an external, unbalanced force.
This law explains the reluctance of heavier objects to move or stop. The law that explains the fact that a heavier truck takes a longer time to stop is Newton's law of inertia.
Learn more: https://brainly.com/question/14281129
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
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
PLS HELP ASAP
I NEED HELP
HAPPY HOLIDAYS
Answer:
Displacement is calculated using the following formula: [tex]d = v \times t[/tex]Where v in meters per second is the velocity and t in seconds representing time Hence d = 14,542.32HELP 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!
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
What nuclear process changes one element into another different element?
A
transfiguration
B
transduction
C
transmutation
D
transgeneration
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.