The tension of the rope is 750 N.
According to Newton's second law of motion, the mass of a rock climber, m = 50 kg, while lifting a thing upwards with an acceleration, the upward force must be larger than the weight of the object in order to have a net force in upward direction to induce acceleration in upward direction.
accelerating a rock climber upward with a rope,
a= 5 m/s
determining the rope's tension (T)
The following two forces are at work on the rock climber as it is raised:
Rope tension acting upward. The rock climber's weight acting downward. Using Newton's second rule of motion, we may now:
Mass times climber's acceleration equals net upward force.
T−m×g=m×aT
=m×(g+a)T
=50× (10+5) T
=750 N
The complete question is -A rescue helicopter lifts a 50 kg rock climber by a rope from a cliff face. The rock climber is accelerated vertically a 5m/s−² What is the tension in the rope?
a) 350N
b) 500N
c) 750N
d) 1500 N
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A car was moving at 14 m/s. After 30 s, its speed increased to 20 m/s. What was the acceleration during this time?
Answer: 0.2 m/s²
Explanation:
Acceleration= (20-14)/30 = 0.2 m/s²
A train starts from rest and accelerates uniformly until it has traveled 7.1km and acquired a forward velocity of 36m/s. The train then moves at a constant velocity of 36m/s for 2.1min. The train then slows down uniformly at 0.072m/s^2, until it is brought to a halt. How long does the entire process take (in min )?
The time taken is 369.23 s
Length is measured in distance. For instance, the length of a road is its distance. The most popular units of measurement for distance in the metric system are millimeters, centimeters, meters, and kilometers.
First, the train travels 2.1 kilometers.
then travels for 400 seconds at a steady speed of 24 m/s
Distance = V x t = 24 x 400 = 9600m, or 9.6 km.
then it decreases in speed from 24 m/s to 0
hence it requires
Vf- V0=at
0-24=-0.065 xt => t=369.23 s
that indicates that it will endure for
Distance = V0t+1/2 gt2 = 24 x 369.23 - 1/2 (0.065 x 369.23) = 8849.52m, or 8.8km
2.1 + 9.6 + 8.8 = 20.5 kilometers.
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Which of the following quantities are scalars?
Answer:
Explanation:
Scalars: distance and work
an image produced by a concave mirror of a focal length 8.7cm, the object is 13.2cm tall and at a distance 19.3cm from the mirror, (a) find the location and height of the image, (b) find the height of the image produced by the mirror if the object is twice as far from the mirror.
Answer:
what is the best result of
At the snail racing championship in England, the winner moved at an average velocity of 2.4 mm/s [fwd] for 140 s. Determine the winning snail’s displacement during this time interval.
Answer: 1.2 mm
Explanation:
Time= 140 sec
Initial Velocity= 0
Average Velocity= 2.4 mm/s
Displacement= 0.5* (2.4/140) *140 = 1.2 mm
What is the ratio of the nuclear densities of two nuclie having mass numbers in ratio 1:4
Answer:
[tex]1:1[/tex]
Explanation:
As the nuclear density is independent of mass number, so the ratio of nuclear densities of the two given nuclei is 1:1.Given:-
Two nuclei have mass number in the ratio of 1:4.To find:-
The ratio of nuclear densities of the two nuclei.Answer:-
The nuclear densities for all atoms is same and it doesn't depends on mass number.
So the ratio of the nuclear densities will be 1:1 .
[tex]\implies \underline{\underline{\green{ \rm Ratio= 1:1}}}[/tex]
_________________________________________
Additional information:-
Here I would be providing you the proof for the same .
Firstly we know that the volume of nucleus is directly proportional to its mass number ( Why ? because as the mass number increases , nucleons increases so volume increases) . Therefore;
[tex]\implies V = \dfrac{4}{3}\pi r^3 \\[/tex]
And ,
[tex]\implies V \propto A \\[/tex]
So ,
[tex]\implies \dfrac{4}{3}\pi r^3 \propto A \\[/tex]
[tex]\implies r^3 \propto A \\[/tex]
[tex]\implies r\propto A^{\dfrac{1}{3}} \\[/tex]
[tex]\implies r = r_0 A^{\dfrac{1}{3}} \dots\rm{(1)} \\[/tex]
where,
[tex]r_0[/tex] is a constant and its value is 1.2 fm .[tex] A[/tex] = Mass number[tex] r[/tex] = radius of nucleus.Now in order to find out the nuclear density , say [tex]\rho[/tex] ; we have ;
[tex]\implies \rho =\dfrac{Mass_{\rm nucleus}}{Volume_{\rm nucleus}} \\[/tex]
Now let's assume that there are m nucleons and their average mass number is A . So the average mass of m nucleons would be mA .
[tex]\implies \rho = \dfrac{mA}{ \dfrac{4}{3}\pi r^3}\\[/tex]
From equation (1) , we have ;
[tex]\implies \rho = \dfrac{mA}{\dfrac{4}{3}\pi (r_0 A^{\dfrac{1}{3}})^3} \\[/tex]
[tex]\implies \rho = \dfrac{mA}{\dfrac{4}{3}\pi r_0^3 A} \\[/tex]
[tex]\implies \underline{\underline{\green{\rho = \dfrac{3m}{4\pi r_0^3}}}} \\[/tex]
Now we can see that all the terms in the RHS of the equation are constants. This implies that nuclear density is also constant for all atoms independent of their mass numbers .
And we are done!
I went driving the other day and I covered 100 miles in the first 2 hours. Then I had a picnic for an hourThen continue driving to my friends house and traveled 50 miles in 2 hoursWhat was my average speed?
Naming lonic Compounds Practice
Write the name of the ionic compounds below:
1. KCI
2. MgO
3. K₂O
4. AlCl3
5. Cao
6. BaS
7 MẸCh
8. Al2S3
9. NaH
10. SrF₂
11. ZnS
12. Mgl₂
13. RbBr
14. Case
15. Al₂03
16. BaBrz
17. Na N
18. CsCl
19. Ca₂C
20. Mg3P₂
The name of the ionic compounds are
KCl - Potassium chlorideMgO - Magnesium oxideK₂O - Potassium oxideAlCl₃ - Aluminium chlorideCaO - Calcium oxideBaS - Barium sulfideAl₂S₃ - Aluminum sulfideNaH - Sodium hydrideSrF₂ - Strontium fluorideZnS - Zinc sulfideMgI₂ - Magnesium iodideRbBr - Rubidium bromideCaSe - Calcium selenideAl₂0₃ - Aluminum OxideBaBr₂ - Barium bromideNaN - Sodium azideCsCl - Cesium chlorideCa₂C - Calcium carbideMg₃P₂ - Magnesium phosphideIonic compounds that has only two types of elements are named by mentioning cation first followed by the anion name.
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2. (a) Joe walks a distance 28 meters in the +x direction, and then a distance 14 meters directed at an angle 25° above the +x axis. (i) Using a scale diagram, draw the displacement vectors for Joe's motion and label them A and B and also his total displacement from his initial position label it C.
Joe travels 28 kilometers in the direction of +x before travelling 14 metres at an angle of 25° above the +x axis.
Joe moves 6 m backwards throughout the entire excursion.
The parameters are as follows: Joe's initial location is x1 = 8 m, and his ultimate position is x2 = 2 m.
The alteration of an object's location is known as displacement. The shortest distance between the final location and the starting position is another way to express it.
Movement = x = x2 - x1
Make the forward motion negative.
Make the reverse direction positive.
Relocation = -2 - (-8)
Position = -2 + 8
displacement = 6 m in the reverse
Therefore, Joe moves 6 m backwards over the entire excursion.
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the use of solar energy should be increase in the context of Nepal.justify the statement
Answer:
The solar potential in Nepal is 50,000 terawatt-hours per year, which is 100 times larger than Nepal's hydro resource and 7,000 times larger than Nepal's current electricity consumption. Solar can easily meet all future energy needs in Nepal. Solar energy is cheaper than fossil fuels, nuclear and hydro.
Which point charge in diagram A
produces the strongest field?
Point Z produces is the strongest electric field.
A notion that gives a "map" of electric field lines was put out by Michael Faraday. The lines of the electric field are also known as lines of force since the electric field is the electric force per unit charge. The distribution of electric field lines also reveals the size or strength of the field. Lines are more closely spaced, therefore the electric field is stronger.
The lines are more dispersed at greater separations when the electric field is weaker. In general, it is true that areas with tighter field lines have a greater electric field. The number of lines per unit area traveling perpendicularly through a surface is proportional to the strength of the electric field regardless of the number of charges present.
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How long does it take to drive at 8 m/s for 30 km (answer in seconds)
Answer:
60/80 x 30 = 1800/80 = 22.5 minutes. 22.5 minutes would be required to drive 30 km
Explanation:
1350 seconds
the value of acceleration due to gravity on mars is about 3.7m/s2. how much will an object that weights 490 on earth weigh on mars
Answer:
185 units
Explanation:
Accel of gravity on Earth is 9.1 m/s^2
so weight on Mars would be a fraction of this
3.7 / 9.81 x 490 = 185 units
Expert help me
When firing a rifle, the bullet is shot at a high speed as the rifle recoils in the opposite directo How do you compare the force which they impart on each other? • How do you then explain the big difference in the velocities of two? Would you care to fire a rifle whose bullet is ten times as massive as the rifle? Why or why not?
Answer:
See below
Explanation:
The forces are equal but opposite directions
the velocities of the two differ because of the different masses of the two objects....the bullet is light compared to the rifle/shooter.
I would not want to fire a heavy projectile...the 'kick' or 'recoil' of the rifle would be quite large.....and painful!
A speedboat moves west at 108 km/h for 22.0 min. It then moves at 60.0° south of west at 90.0 km/h for 10.0 min.
What is the average speed for the trip?
What is the magnitude of average velocity for the trip?
What is the direction of average velocity for the trip? Enter the angle in degrees where negative indicates north of west and positive indicates south of west.
Answer:
108 km/hr = 1.8 km/min
90 km/hr = 1.5 km/min
V1 = (-39.6, 0)
V2 = (-10.6, -10.6) (10.6^2 + 10.6^2)^1/2 = 15 1.5 km/min * 10 min
V = (-50.2, -10.6) final displacement vector
Total time = 22 + 10 = 32 min
S = (50.2^2 + 10.6^2)^1/2 = 51.3 km
Average speed = (1.8 * 22 + 1.5 * 10) / 32 = 1.71 km / min
Displacement = 51.3 km
Average velocity = 51.3 / 32 = 1.60 km/min
Direction = 10.6 / 50.2 = .211 or 11.9 deg S of W
Newton’s universal law of gravity tells us that F = G(m1m2/d2). Newton’s second law tells us that a = Fnet/m.
(a) With a bit of algebraic reasoning show that your gravitational acceleration toward any planet of mass M a distance d from its center is a = GM/d2.
(b) How does this equation tell you whether or not your gravitational acceleration depends on your mass?
A person pushes on a stationary 125 N box with a force of 78 N at 30∘ below the horizontal, as shown in the figure. (Figure 1) The coefficient of static friction between the box and the horizontal floor is 0.72. What is the normal force on the box?
The normal force on the stationary box pushed by the person is determined as 108.25 N.
What is normal force?Normal force is defined as the force that any surface exerts on any other object.
Normal force acts in opposite direction to the weight of an object.
The normal force on the box is calculated as follows;
Fn = mg cosθ
Fn = W cosθ
where;
W is the weight of the objectm is the mass of the objectg is acceleration due to gravityθ is the angle of inclination of the planeSubstitute the given parameters and solve for the normal force on the box,
Fn = 125 x cos30
Fn = 108.25 N
Thus, the normal force on the stationary box pushed by the person is determined as 108.25 N.
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Two test charges are located in the – plane. If 1=−3.350 nC and is located at 1=0.00 m, 1=1.1600 m, and the second test charge has magnitude of 2=4.600 nC and is located at 2=1.100 m, 2=0.600 m, calculate the and components, x and y, of the electric field ⃗ in component form at the origin, (0,0). The Coulomb force constant is 1/(40)=8.99×109 N·m2/ C2.
E=15.23
Given:
Q=−3.350 nC
Position 1=0.00 m
Position 2=1.1600 m,
Second charge and location is 4.600 nC and is located at 2=1.100 m, 2=0.600
Formula :
E=kq/r^2
E=9×10^9×3.350×4.600/2^2=15.23 N/C
When charge is present in any form, an electric field is linked with each point in space. The value of E, also known as electric field strength, electric field intensity, or simply the electric field, expresses the magnitude and direction of the electric field. Knowing the value of the electric field at a place, without knowing what caused the field, is all that is required to predict what will happen to electric charges near that point.
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A ball is tossed upward. Neglecting air drag, the acceleration along its path is
When will you say a body is in Uniform acceleration and Non Uniform acceleration?
When body is changing its velocity at a constant rate then the body is said to be in uniform acceleration.
When a body is changing its velocity at different rates than my body is said to be moving with non uniform acceleration.
acceleration - The rate of change of velocity with respect to time.
It is a vector quantity.
a = dv / dt
SI unit is m/s²
direction of acceleration is the direction of change in velocity.
types of acceleration
uniform accelerationnon uniform accelerationinstantaneous accelerationWhen body is changing its velocity at a constant rate then the body is said to be in uniform acceleration.
When a body is changing its velocity at different rates than my body is said to be moving with non uniform acceleration.
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HELPPP
Is the density of an object always the same as its mass?
Yes
No
How would you calculate the density of an object?
mass/area
mass/volume
After completing the liquids portion of the lab, which liquid was the least dense?
oil
water
syrup
In a density column experiment (like the one explained in the lesson), the density of the liquids depends on the order in which they are added to the column.
True
False
Would a golf ball or a ping pong ball (of the same volume) have more density?
golf ball
ping pong ball
The correct responses are;
1) No the density of an object is not always the same as its mass
2) The density of an object is calculated from mass/volume
3) After completing the liquids portion of the lab, oil has the lest density
4) It is a false statement that the density of the liquids depends on the order in which they are added to the column.
5) The golf ball has a greater density than the ping pong ball
What is density?The term density refers to the mass per unit volume of an object. This implies that if measure the mass of the object and divide this value by the volume of the object then we obtain the density of the object. The density is an empirical property hence it does not change.
Let us now answer the questions individually;
1) No the density of an object is not always the same as its mass
2) The density of an object is calculated from mass/volume
3) After completing the liquids portion of the lab, oil has the lest density
4) It is a false statement that the density of the liquids depends on the order in which they are added to the column.
5) The golf ball has a greater density than the ping pong ball
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The displacement vector has scalar components of Ax = 80.0 m and Ay = 60.0 m. The displacement vector has a scalar component
of Bx = 60.0 m and a magnitude of B = 75.0 m. The displacement vector has a magnitude of C = 100.0 m and is directed at an angle of
36.9° above the +x axis. Determine which two of these vectors are equal.
Answer:
Vectors A and C are equal
Explanation:
If we have a certain vector [tex]\displaystyle \overrightarrow{A}[/tex], the components of the vector [tex]\displaystyle \mathrm {A_x\;and\;A_y}[/tex] are given by:
[tex]A_x = Acos\theta\\A_y=Asin\theta[/tex]
where
[tex]\textrm {$\theta$ is the angle formed by the vector on the x-axis}[/tex]
For vector A, we have Ax = 80m and Ay=60m
For vector C we have
Cx = |C| cosθ = 100 cos(36.9) ≈ 100 x 0.8 = 80m
Cy = |C| sinθ = C sin(36.9) ≈ 100 x 0.6 = 60m
So A and C are equal
We can eliminate B since Bx = 60 and Ax=80 so they cannot be equal
A proton is moving in a circular orbit of radius 14 cm in a uniform magnetic field of
magnitude 0.35 T directed perpendicular to the velocity of the proton. Find the orbital speed
of the proton.
The orbital speed of the proton is 4.7 x 10⁶ m/s.
What is the orbital speed of the proton?The orbital speed of the proton is calculated by applying the following equations as shown below.
Centripetal force of the proton = magnetic force of the proton
Fc = qVB
mv²/r = qvB
mv² = qvBr
v² = qvBr/m
v = qBr/m
where;
v is the speed of the protonB is the magnetic field strengthr is the radius of the circular pathm is mass of the protonThe orbital speed of the proton is calculated as follows;
v = (1.6 x 10⁻¹⁹ x 0.35 x 0.14) / (1.67 x 10⁻²⁷)
v = 4.7 x 10⁶ m/s
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In a classroom you were locked up with your classmates and the oxygen is running out of what would you do on that occasion?
Oxygen deficiency in closed spaces may not be noticeable, but this does not mean that it is not dangerous.
If we are locked up in a classroom with our classmates, then the reduction in oxygen levels in the classroom could be due to the continues respiration process being performed by all the living beings present in the classroom.
The very first thing we will do is to knock on the door—and knock hard—and will ask, “Is anyone there?" until we get a response from outside.
Also we can check for the window in the room, if it exists, then by breaking it from inside we can brake out of the room.
Also it is very important to stay calm and avoid freaking out on that occasion.
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The pressure at the top of Mount Everest is 0.31×105N/m2, and the temperature is −30∘C. The pressure at sea level is 1.0×105N/m2, and the temperature is 20∘C.
Determine how much more frequently you need to breathe on top of Mount Everest to inhale the same amount of oxygen as you do at sea level.
________ times more frequently.
It takes 2.7 times approximately to breath frequently on top of Mount Everest as you do at sea level.
What is Pressure ?Pressure is force per unit area. Pressure in fluid is the product of fluid density, acceleration due to gravity and the height. Pressure is measured in N/m²
Given that the pressure at the top of Mount Everest is 0.31×105N/m2, and the temperature is −30∘C.
From Ideal gas law, PV = nRT
Where
P = 31000 N/m²
T = - 30 + 273 = 243 K
n/V = ?
R = 8.314 1/K/Mol
n/V = P / RT
n/V = 31000 / (8.314 × 243)
n/V = 31000 / 2020.302
n/V = 15.34
When the pressure at sea level is 1.0×105N/m2, and the temperature is 20∘C, then
T = 20 + 273 = 293 K
n/V = 100000 / (8.314 × 293)
n/V = 100000 / 2436.002
n/V = 41.05
To determine how much more frequently you need to breathe on top of Mount Everest to inhale the same amount of oxygen as you do at sea level, you divide the two values. That is,
41.05 / 15.34 = 2.67
Therefore, it takes 2.7 times approximately to breath frequently on top of Mount Everest as you do at sea level.
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After 30s, a runner is sprinting at 3 m/s. But 10 s later, the runner is sprinting at 3.8 m/s. What is the runners acceleration during this time? Need to show step by step work please. Content is from physical science, 8th grade.
Need to show step by step - I need to check please
The acceleration of the runner 10 sec later will be 0.08 meters per second square (m/s²).
What is Average acceleration?Average acceleration is defined as the average rate of change of velocity with time. Mathematically -
a = Δv/Δt
Given is a runner sprinting at 3 m/s and after 10 s the same runner is sprinting at 3.8 m/s. Therefore, we can write -
Initial velocity [u] = 3 m/s
Final velocity [v] = 3.8 m/s
time taken [Δt] = 10 s
The average acceleration of the sprinter can be calculated as follows -
a = Δv/Δt
Δv = v - u
Δv = 3.8 - 3 = 0.8 m/s
Δt = 10 s
Therefore -
a = 0.8/10 = 0.08 m/s².
Therefore, the acceleration of the runner 10 sec later will be 0.08 meters per second square (m/s²).
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A car travels at a speed of 55 km/h for 2.4 h. How far has the car traveled during this journey?
One group of nursing home patients drinks orange juice before watching an
informative film. A similar group drinks water before watching the same film.
After the film, both groups are tested for their memory of the film's contents.
Here, the independent variable is:
The Independent variable here in this sentence is the type of drink each group was subjected to intake.
Independent variable in a experiment is the one which stands independent and acts as a control which influences the experiment's outcome. Independent variables are employed in a experiment to test whether the dependent variable changes accordingly.
Here, in this experiment the dependent variable, i.e., the theory to be tested is the memory of the patients. The independent variable here is the type of juice given to the patients, which acts as a control of the experiment's outcome. Any variable which alters the final result of the experiment and which can be controlled through out the experiment is termed as Independent variable.
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the briquette is better fuel than wood why give two reason
Compost briquettes decrease deforestation because they are less expensive than traditionally created charcoal made from wood.
What are the reason that briquette is better fuel than wood?A compressed block of flammable material, such as charcoal, sawdust, wood chips, peat, or paper, is called a briquette (sometimes written briquet) and is used as both fuel and kindling to start a fire.
Briquettes are similar to fast food in that they are readily available, inexpensive, and trustworthy; however, you really don't want to know what is in them.
Briquettes, as opposed to pure lump charcoal, are manufactured wood by-products that have been compacted with additives to make them easier to light and maintain a constant burn.
Therefore, The emission of extra greenhouse gases that contribute to climate change is prevented by the compost briquettes' increased efficiency and cleaner burning.
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Complete the Aristotle quote:
"States of character arise from ______________."
A state of character arises from the repetition of similar activities
Aristotle was a renowned scientist and philosopher. He has made significant contributions to society. He is renowned for his quotable sayings as well. Because of the correlation between the states of character and the distinctions between them, the behaviors we display must be of a specific type. States of character: The traits that "allow us to stand well or poorly in relation to the passions." Because: We are not commended and criticized only for having the ability to feel pleasure, grief, etc., virtues are not capacities.
Here in this quote, similar behaviors give birth to similar states of character
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