Answer:
The 60 kg skater is traveling at 2.63 m/s in the opposite direction from the 45 kg skater.
Explanation:
The velocity of the 60 kg skater can be found by conservation of linear momentum:
[tex]P_{i} = P_{f}[/tex]
[tex]m_{a}v_{i_{a}} + m_{b}v_{i_{b}} = m_{a}v_{f_{a}} + m_{b}v_{f_{b}}[/tex] (1)
Where:
[tex]m_{a}[/tex]: is the mass of the first skater = 45 kg
[tex]m_{b}[/tex]: is the mass of the second skater = 60 kg
[tex]v_{i_{a}}[/tex]: is the initial speed of the first skater = 0 (he is standing still)
[tex]v_{i_{b}}[/tex]: is the initial speed of the second skater = 0 (he is standing still)
[tex]v_{f_{a}}[/tex]: is the final speed of the first skater = 3.5 m/s
[tex]v_{f_{b}}[/tex]: is the final speed of the second skater =?
By replacing the above values into equation (1) and solving for [tex]v_{f_{b}}[/tex] we have:
[tex]0 = m_{a}v_{f_{a}} + m_{b}v_{f_{b}}[/tex]
[tex]v_{f_{b}} = \frac{-m_{a}v_{f_{a}}}{m_{b}} = \frac{-45 kg*3.5 m/s}{60 kg} = -2.63 m/s[/tex]
The minus sign is because the 60 kg skater is moving in the opposite direction from the other skater.
Therefore, the 60 kg skater is traveling at 2.63 m/s in the opposite direction from the 45 kg skater.
I hope it helps you!
an object has a weight on the surface of the earth of 370 N. What is the mass
Explanation:
The mass of the object is 370N / (9.81N/kg) = 37.7kg.
Which of the four spheres is this pictures/scene?
A) hydrosphere
B) biosphere
C) geosphere
D) atmosphere
Answer:
I Believe the answer is
[tex]D. \: \: atmosphere[/tex]
Explanation:
I hope how this helps!
in winter morning as soon as we wake up , the air inside the room is cold but if we go out and return to the same room , we feel warm why?
Which example best
describes Newton's 3rd Law?
A. Paddling a canoe to make the boat move
B. A large truck takes longer to
slow down than a car
C. Falling forward in a train that is slowing down quickly
Answer:
A
Explanation:
paddling a canoe to make the boat move
A race car, moving initially with a speed of 15.0 m/s, is capable of accelerating at a rate of 6.0 m/s?. What will be the speed
of this car after accelerating for a time period of 8.00 seconds?
m/s
Answer:
[tex]v_{f}=63\ \frac{m}{s}[/tex]
Explanation:
[tex]v_{f}=v_{i}+a\cdot t[/tex]
[tex]v_{f}=15\ +\ 6\cdot8[/tex]
[tex]v_{f}=63\ \frac{m}{s}[/tex]
Therefore, the speed of the car is 63m/s after 8 seconds while accelerating at it maximum capability.
An airplane flies at 40 m/s at an altitude of 50 meters. The pilot drops a heavy package which falls to the ground. Where, approximately, does the package land relative to the plane's new position
Answer:
128 m
Explanation:
From the question given above, the following data were obtained:
Horizontal velocity (u) = 40 m/s
Height (h) = 50 m
Acceleration due to gravity (g) = 9.8 m/s²
Horizontal distance (s) =?
Next, we shall determine the time taken for the package to get to the ground.
This can be obtained as follow:
Height (h) = 50 m
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) =?
h = ½gt²
50 = ½ × 9.8 × t²
50 = 4.9 × t²
Divide both side by 4.9
t² = 50 / 4.9
t² = 10.2
Take the square root of both side
t = √10.2
t = 3.2 s
Finally, we shall determine where the package lands by calculating the horizontal distance travelled by the package after being dropped from the plane. This can be obtained as follow:
Horizontal velocity (u) = 40 m/s
Time (t) = 3.2 s
Horizontal distance (s) =?
s = ut
s = 40 × 3.2
s = 128 m
Therefore, the package will land at 128 m relative to the plane
2km south is a measure of what
The answer Is kilometers
Le manque de sommeil peut réduire la production d'insuline par le pancréas. L'insuline est responsable de métaboliser le sucre dans le sang. De quel ordre peut être la réduction d'insuline?Lecteur immersif
Answer:
Very big.
Explanation:
Very big reduction occurs in insulin production when a person did not sleep in 24 hours. Due to lack of sleep, reduction occurs in the production of insulin by the pancreas. Insulin is a hormone that is responsible for metabolizing sugar in the blood and if insulin is not secreted by the pancreas in normal concentration so the person get diabetes disease due to increasing amount of glucose in the blood.
what is the avarage speed during kick 1
a stone is tied to one end of string. holding to the other end , the string is whirled in the horizontal plane with progressively increasng speed it breaks at some speed bexause
Answer:
Breaks because it doesn't have force in the radial direction and thus due to inertia the stones will fly off tangentially.
Explanation:
Until the stone is tied to a string, it will possess centripetal force and centrifugal force along the radial direction of motion due to the tension present in the string. Now, when the rope breaks, it breaks because it doesn't have force in the radial direction and thus due to inertia the stones will fly off tangentially.
Compare the rate of heat transfer by radiation for two objects, the first one has the temperature Ts1= 25 degree Celsius and the second is kept at temperature Ts2 = 40 degree Celsius. Suppose they are made of identical material (e1=e2) and have the same area participating in radiation (Ar1=Ar2). The Surrounding temperature Tr= 25 degree Celsius.
Answer:
The rate of heat transfer of the second object is greater than the first object.
Explanation:
[tex]\varepsilon[/tex] = Emissivity of the object
[tex]\sigma[/tex] = Stefan-Boltzmann constant = [tex]5.67\times 10^{-8}\ \text{W/m}^2/\text{K}^4[/tex]
[tex]T_1[/tex] = Temperature of surface 1 = [tex]25^{\circ}\text{C}+273.15=298.15\ \text{K}[/tex]
[tex]T_2[/tex] = Temperature of surface 2 = [tex]40^{\circ}\text{C}+273.15=313.15\ \text{K}[/tex]
[tex]T_0[/tex] = Surrounding temperature = [tex]25^{\circ}\text{C}+273.15=298.15\ \text{K}[/tex]
Rate of heat transfer is given by
[tex]P_1=\varepsilon \sigma (T_1^4-T_0^4)\\\Rightarrow P_1=\varepsilon \sigma A_1(298.15^4-298.15^4)\\\Rightarrow P_1=0\ \text{W}[/tex]
[tex]P_2=\varepsilon \sigma (T_2^4-T_0^4)\\\Rightarrow P_2=\varepsilon 5.67\times10^{-8} A_2(313.15^4-298.15^4)\\\Rightarrow P_2=\varepsilon A_297.2[/tex]
[tex]\varepsilon A_297.2>0[/tex]
So, [tex]P_2>P_1[/tex]
Hence, the rate of heat transfer of the second object is greater than the first object.
The Kentucky Derby is one of the most exciting horse races run every year. In 1973, the horse Secretariat set a record that still stands. This 500-kg horse ran the 2000-m track in 120 s. What was Secretariat's average kinetic energy? (1 kJ = 1000 J)
Answer:
69.44kJ
Explanation:
Kinetic energy is expressed as;
KE = 1/2mv^2
m is the mass = 500kg
v is the velocity
Get the velocity;
v = displacement/time
velocity = 2000/120
velcoity = 16.7m/s
Gt the kinetic energy
KE = 1/2 * 500 * 16.7²
KE = 250*277.78
KE = 69,444.4Joules
Since 1000J = 1kJ
69,444.4Joules = 69,444.4/1000
69,444.4Joules = 69.44kJ
Hence the Secretariat's average kinetic energy is 69.44kJ
Answer:C 69.0kJ
Explanation:
How much force would be needed to
push a 22 kg box across the floor with
an acceleration of 1.9 m/s^2? Assume
that there is a coefficient of friction of.
17 between the box and the floor.
Help me with this!!!!!!!it’s due in 10 minutes
There would be two forces acting on the box parallel to the floor, with a net force of
∑ F = p - f = m a
where p = magnitude of the push, f = mag. of friction, m = mass of the box, and a = acceleration. To find p, we first need f .
There are also only two forces acting on the box perpendicular to the floor, with net force
∑ F = n - w = 0
where n = mag. of normal force of the floor on the box and w = weight of the box. The net force is 0 because the box is only accelerating parallel to the floor.
w = m g, where g = 9.8 m/s² is the mag. of the acceleration due to gravity, so we can solve for n :
n = w = m g
n = (22 kg) (9.8 m/s²)
n = 215.6 N
The kinetic friction is proportional to the normal force by a factor of the given coefficient of friction, µ = 0.17, such that
f = µ n
f = 0.17 (215.6 N)
f = 36.652 N
Now solve for the required pushing force:
p - 36.652 N = (22 kg) (1.9 m/s²)
p ≈ 78 N
Answer:
0
Explanation:
What is a joule? Pls only answer if you know the answer.
Answer:
the SI unit of work or energy, equal to the work done by a force of one newton when its point of application moves one meter in the direction of action of the force, equivalent to one 3600th of a watt-hour.
Explanation:
Joule, unit of work or energy in the International System of Units (SI); it is equal to the work done by a force of one newton acting through one metre. Named in honour of the English physicist James Prescott Joule, it equals 107 ergs, or approximately 0.7377 foot-pounds.
is anti-nodes and amplitude same
Explanation:
Antinodes are not the same thing as the amplitude , but they are very closely related. The amplitude is the distance from the rest position of the wave to the antinode . The antinode is just a point along the wave that has the greatest maximum velocity in the y-direction.
The amplitude of a standing wave doesn't remain the same throughout the wave. It keeps on changing as it is a function of x.
Where the amplitude is minimum is called?
The locations at which the absolute value of the amplitude is minimum are called nodes, and the locations where the absolute value of the amplitude is maximum are called antinodes.
Explanation:
Antinodes are not the same thing as the amplitude , but they are very closely related. The amplitude is the distance from the rest position of the wave to the antinode . The antinode is just a point along the wave that has the greatest maximum velocity in the y-direction .
intro urself please
A feather is falling towards the ground at a constant speed. Of the forces listed, identify which act upon the feather.
Answer:
Gravitational force
Explanation:
Gravitational force is what is making the feather go down. It's pushing the feather down, without the Gravitational force, the feather would have been going up, and not down. Just like us. Gravitational force is what keeps us humans from floating ( unless ur an alien jklol), So yeah Gravitational force is the force that acts upon the feather to fall towards the ground at a constant speed.
Btw, u never listed the forces here just ....
Hope this helped!
A feather is falling towards the ground at a constant speed. Forces act upon the feather is gravitational force.
What is force?
A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
When body is falling the net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity
A feather is falling towards the ground at a constant speed. Forces act upon the feather is gravitational force.
To learn more about force refer to the link:
brainly.com/question/13191643
#SPJ2
PLEASE HELP ASAP!!!
Bradley is installing fencing on a farm. As he is installing the fencing, he moves 65.0 meters directly south, then turns, and goes 44.0 meters at an angle 25.0° east of south, where he finishes his work shift. What is his final displacement vector at the end of his shift??
a. 107m, 10.1°, east of south
b. 107m, 10.1° south of east
c. 121m, 14.1° south of east
d. 121m, 14.1° east of south
Answer:
The correct option is;
a. 107 m, 10.1°, east of south
Explanation:
The given question can be answered using vectors as follows;
The initial displacement south by Bradley = 65.0 meters
In vector form, we have
The initial displacement south by Bradley = -65·j
The displacement 25.0° east of south = 44.0 meters
In vector form, we have
The displacement 25.0° east of south = 44 × sin(25°)·i - 44 × cos(25°)·j
In vector, form, we have;
The total displacement = The sum of the vectors of the two displacement
∴ The total displacement = -65·j + 44 × sin(25°)·i - 44 × cos(25°)·j
The total displacement = 44 × sin(25°)·i - (44 × cos(25°) + 65)·j
We use the i and j components to find the magnitude and the direction of the total displacement as follows;
The magnitude of the total displacement = √((44 × sin(25°))² + (44 × cos(25°) + 65)²) = 106.5132881 ≈ 107
The magnitude of the total displacement ≈ 107 m
The direction of the total displacement = arctan((44 × sin(25°))/((44 × cos(25°) + 65)) = 10.0542797419° ≈ 10.1° east of south
WILL GIVE BRAINLIEST
Lila is a track and field athlete. She has to complete four laps around the track, which is 400 meters. The race took her 6 minutes to complete. What is her average speed to the first decimal point in m/s?
Answer:
4.44m/s
Explanation:
Given parameters:
Number of laps = 4
Length of track = 400m
Time taken = 6min
Unknown:
Average speed = ?
Solution:
The average speed is the total distance covered divided by the time taken.
It is mathematically expressed as;
Average speed = [tex]\frac{total distance}{time taken}[/tex]
Total distance = number of laps x length of track = 4 x 400 = 1600m
Now convert the time to seconds;
60s = 1 min
6 minutes will be 6 x 60 = 360s
So;
Average speed = [tex]\frac{1600}{360}[/tex] = 4.44m/s
A tourist stands at the top of the Grand Canyon, holding a rock, overlooking the valley below. Find the final velocity and displacement of the rock after 4.0 seconds give the three initial conditions listed below:
a. the rock is dropped vertically from rest
b. the rock is tossed vertically upward with 8.0m/s of speed
c. The rock is tossed vertically downward with 8.0 m/s speed
Answer:
a. -39.2 m/s; -78.4 m
b. -31.2 m/s; -46.4 m
c. -47.2 m/s; -110.4 m
Explanation:
Part (a)We are given/can infer these variables:
t = 4.0 sa = -9.8 m/s² v_0 = 0 m/sWe want to find the displacement and the final velocity of the rock.
Δx = ?v = ?We can use this equation to find the final velocity:
v = v_0 + atPlug in the known variables into this equation.
v = 0 + (-9.8)(4.0) v = -9.8 * 4.0 v = -39.2 m/sThe final velocity of the rock is -39.2 m/s.
Now we can use this equation to find the displacement of the rock:
Δx = v_0 t + 1/2at²Plug in the known variables into this equation.
Δx = 0 * 4.0 + 1/2(-9.8)(4.0)² Δx = 1/2(-9.8)(4.0)² Δx = -4.9 * 16 Δx = -78.4 mThe displacement of the rock is -78.4 m.
Part (b)We are given/can infer these variables:
v_0 = 8.0 m/sa = -9.8 m/s²t = 4.0 sWe can use this equation to find the final velocity:
v = v_0 + atPlug in the known variables into this equation.
v = 8.0 + (-9.8)(4.0) v = 8.0 + -39.2 v = -31.2 m/sThe final velocity of the rock is -31.2 m/s.
We can use this equation to find the displacement:
Δx = v_0 t + 1/2at²Plug in known variables:
Δx = 8.0(4.0) + 1/2(-9.8)(4.0)² Δx = 32 - 4.9(16)Δx = -46.4 mThe displacement of the rock is -46.4 m.
Part (c)We are given/can infer these variables:
v_0 = -8.0 m/sa = -9.8 m/s²t = 4.0 sWe can use this equation to find the final velocity:
v = v_0 + atPlug in the known variables into this equation.
v = -8.0 + (-9.8)(4.0) v = -8.0 - 39.2 v = -47.2 m/sThe final velocity of the rock is -47.2 m/s.
We can use this equation to find the displacement:
Δx = v_0 t + 1/2at²Plug in known variables:
Δx = -8.0(4.0) + 1/2(-9.8)(4.0)²Δx = -32 - 4.9(16)Δx = -110.4 mThe displacement of the rock is -110.4 m.
I got a new kitten and I dont know how to train them to use a leash. Can anyone help?
What is the energy transformation of these street lights with solar panels?
What voltage is required to move 6A through 20?
Answer:
120V
Explanation:
Given parameters:
Current = 6A
Resistance = 20Ω
Unknown:
Voltage = ?
Solution:
According to ohms law;
V = IR
Where V is the voltage
I is the current
R is the resistance
Now, insert the parameters and solve;
V = 6 x 20 = 120V
A ball is launched with an initial horizontal velocity of 10.0 meters per second. It takes 500 milliseconds for the ball to reach its maximum height.
Determine the maximum horizontal distance that the ball will travel.
Calculate the initial vertical velocity of the ball.
Answer:
500ms times 2 would be when the ball reaches the max horizontal distance.
Then to find the angle, use the formula of time to reach max height t = u sin theta / g . With t being the max height time 500ms, u being 10m/s
For initial vertical velocity just use u sin theta.
The max horizontal height is "10 meters" and the initial vertical velocity is "4.9 m/s".
Given:
Horizontal velocity,
[tex]V_x = 10 \ m/s[/tex]Time,
t = 500 m/sAt max height,
[tex]V_{yf} = 0 \ m/s[/tex](a)
→ Time to flight (T) will be:
= [tex]2t[/tex]
= [tex]2\times 0.5[/tex]
= [tex]1 \ second[/tex]
→ Horizontal distance will be:
= [tex]V_x\times T[/tex]
= [tex]10\times 1[/tex]
= [tex]10 \ meters[/tex]
(b)
→ The initial vertical velocity will be:
[tex]V_{yf} = V_y +gt[/tex]
[tex]0 = V_y - 9.8\times 0.5[/tex]
[tex]V_y = 4.9 \ m/s[/tex]
Thus the above answers are correct.
Learn more:
https://brainly.com/question/3698280
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.
What is the distance between a 2000 kg truck and a 3000 kg truck if the gravitational force between them is 0.00006 N?
A 258
B. 567 m
C 981
D. 15
Answer:
A. 2.58m
Explanation:
Using the formula;
F = GMm/r²
M and m are the masses
G is the gravitational constant
r is the distance between the masses
Substitute
0.00006 = 6.67*10^-11(2000)(3000)/r²
0.00006r² = 6.67*10^-11*6000000
0.00006r² = 40.02*10^-5
0.00006r² = 0.0004
r² = 0.0004/0.00006
r² = 6.66
r = 2.58m
Hence the distance between them is 2.58m
Which of the following BEST describes Jupiter's seasons?
O A.
There are no significant seasonal changes.
B.
The seasons are much like Earth's.
OC.
The seasons are much shorter than Earth's.
OD. The seasons are much longer than Earth's.
Answer:
Jupiter does not have changing seasons like the Earth, but instead is believed to have a constantly stormy atmosphere. This is partly due to its tilt, which is only 3 degrees. The planet has a very turbulent atmosphere and is believed to have a lot of long-term storms.
So the answer is A : There are no significant seasonal changes.
Explanation:
HELP ASAP!!!!!!! PLEASE WILL GIVE BRAINLIEST
Name the three major parts of a cell and their functions
Answer:
Cell Membrane (Plasma Membrane)
Cytoplasm.
Nucleus.
Explanation:
The cytoplasm is home to many activities of the cell as it contains molecules, enzymes that are crucial in the break down of the waste. The cytoplasm also assists in metabolic activities. Cytoplasm provides shape to the cell. It fills up the cells thus enabling the organelles to remain in their position.
The plasma membrane, or the cell membrane, provides protection for a cell. It also provides a fixed environment inside the cell. And that membrane has several different functions. One is to transport nutrients into the cell and also to transport toxic substances out of the cell.
The nucleus controls and regulates the activities of the cell (e.g., growth and metabolism) and carries the genes, structures that contain the hereditary information. Nucleoli are small bodies often seen within the nucleus.
I’m bored please end my boredom
Answer:
Watch something educational
Explanation:
Like Anime
There are several things you can do to end your boredom time like you can watch movies, you can read books, or can go trekking or something.
What is boredom?According to conventional definitions, boredom is a sentimental and sporadically psychological state that occurs when someone is left without something specific to do when they feel listless and dissatisfied due to a lack of activity or excitement, when they are uninterested in one’s surroundings, or when they think a day or period is tedious.
Scholars also view it as a contemporary phenomenon with a cultural component. There is no agreed-upon definition of boredom.
There are several ways to tackle with boredom:
Call your best friend.Make a dish for yourselfTry out a new hobby.You can join a new clubExercise according to your preferred routine, or start something different, like a dance class.To know more about boredom:
https://brainly.com/question/27962717
#SPJ2
How much work is it to lift a 2.0 kg sack of potatoes vertically 6.5 m?
Answer:
Therefore, the work done to lift a 20 kg sack of potatoes of potatoes vertically 6.5 m is 1, 274 J.
What is the MAIN idea of the section "Green Loses Its Power In Fall"?