A 5.0kg concrete block accelerates down a 34 degree slope at 4.2 m/s^2. Find the Coefficient of friction between the block and the slope.
Answers
Answer:
The coefficient of friction between the block and the slope is 0.16.
Explanation:
We can find the coefficient of friction between the block and the slope by using Newton's second law:
[tex] \Sigma F = ma [/tex]
[tex]P_{x} -\mu N = ma[/tex]
[tex] mgsin(\theta) - \mu mgcos(\theta) = ma [/tex] (1)
Where:
m: is the mass of the block = 5.0 kg
a: is the acceleration = 4.2 m/s²
θ: is the angle = 34°
μ: is the coefficient of friction =?
g: is the gravity = 9.81 m/s²
By entering the above values into equation (1) we have:
[tex] gsin(\theta) - \mu gcos(\theta) = a [/tex]
[tex] \mu = \frac{gsin(\theta) - a}{gcos(\theta)} = \frac{9.81 m/s^{2}*sin(34) - 4.2 m/s^{2}}{9.81 m/s^{2}*cos(34)} = 0.16 [/tex]
Therefore, the coefficient of friction between the block and the slope is 0.16.
I hope it helps you!
Related Questions
find acceleration of block and tension in strings if m1 =8kg m2= 4kg and take g=10m/s²
Answers
[tex]\sf{m_1}[/tex] = 8kg
[tex]\sf{m_2}[/tex] = 4kg
g = 10m/s²
[tex]\large\bold{\underline{\underline{To \: Find:-}}}[/tex]→Acceleration of block
→Tension in strings
[tex]\large\bold{\underline{\underline{Solution:-}}}[/tex]Let, the two equation will be ,
[tex]\leadsto[/tex] 8g - T = 8a ..... Equation no (1)
[tex]\leadsto[/tex] T - 4g = 4a ..... Equation no (2)
Putting the value of equation no (1) and (2) we get,
[tex]\implies[/tex] 4g = 12a
[tex]\implies[/tex] 4 × 10 = 12a
[tex]\implies[/tex] 40 = 12a
[tex]\implies[/tex] a = [tex]\sf\dfrac{\cancel{40}}{\cancel{12}}[/tex]
[tex]\dashrightarrow[/tex] a = [tex]\dfrac{10}{3}[/tex]
Again, we have to putting the value of a in the equation no (2) we get,
[tex]\implies[/tex] T - 4g = 4 × [tex]\dfrac{10}{3}[/tex]
[tex]\implies[/tex] T - 4 × 10 = 4 × [tex]\dfrac{10}{3}[/tex]
[tex]\implies[/tex] T - 40 = [tex]\dfrac{40}{3}[/tex]
[tex]\implies[/tex] T = [tex]\dfrac{40}{3}[/tex] + 40
[tex]\implies[/tex] T = [tex]\dfrac{40 + 120}{3}[/tex]
[tex]\dashrightarrow[/tex] T = [tex]\dfrac{160}{3}[/tex] N
[tex]\therefore[/tex] Acceleration of block = [tex]\dfrac{10}{3}[/tex] m/s².
And, Tension in strings = [tex]\dfrac{160}{3}[/tex] N
You are twice as likely to become good friends with the person who is in the dorm room next to you than the person two doors down. This is due to:
A. Proximity.
B. Common Interests.
C. Shared Values.
D. Social Background
Answers
Since the person is closer, you get to see them more often
Ashley is flying a plane that has to reach a gradient of 360m/km in order to take off and not crash. Her goal is to travel from sea level to an elevation of 1000m at a distance of 2.8km. Calculate the gradient of Ashley’s flight and determine if she will crash!
Answers
Answer:
She is likely to crash because her flight gradient is lesser than the flight gradient required gradient to avoid crashing
Explanation:
The given parameters are;
The required gradient of the plane Ashley is flying needs to reach in order to take off and not crash = 360 m/km
The initial elevation of the plane Ashley is flying = Sea level = 0 m
The goal Ashley intends to make = Elevation of 1000 m at 2.8 km. distance
∴ Ashley's goal = Traveling from sea level to 1000 m at 2.8 km horizontal distance
We have;
The gradient = Rate of change of elevation/(Horizontal distance)
Therefore;
The gradient of Ashley's flight = (1000 - 0)/(2.8 - 0) = 357.143 m/km
The gradient of Ashley's flight ≈ 357.143 m/km which is lesser than the required 360 m/km in order to take off and not crash, therefore, she will crash.
the person is not able to see the far lying object clearly. which type of lens will the doctor prescribe him give reason?
Answers
Answer:
correction of farsightedness uses a converging lenses that compensates for the under convergence by the eye. the converging lens produces an image farther from the eye than the object so that farsighted can see it clearly.
Rickey Henderson, baseball's record holder for stolen bases, approaches third base. He dives head first, hitting the ground at 6.75 m/s and reaching the base with a speed of 5.91 m/s, accelerating at -5.11 m/s 2 . Determine the distance Rickey slides across the ground before touching the base. How much time is he sliding for before touching the base?
Answers
Answer:
The distance is 1.04 m and time is 0.16 seconds.
Explanation:
Initial speed, u = 6.75 m/s
Final speed, v = 5.91 m/s
Acceleration, a = -5.11 m/s²
We need to find the distance Rickey slides across the ground before touching the base and the time he sliding for before touching the base.
Let d is the distance. It can be calculated using third equation of motion as follows :
[tex]v^2-u^2=2ad\\\\d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{(5.91)^2-(6.75)^2}{2\times (-5.11)}\\\\d=1.04\ m[/tex]
Let t is the time he slides for before touching the base. Using first equation of motion as follows :
[tex]t=\dfrac{v-u}{a}\\\\t=\dfrac{5.91-6.75}{-5.11}\\\\t=0.16\ s[/tex]
So, the distance is 1.04 m and time is 0.16 seconds.
in the movie "gravity" - Why did the escape pod get stuck and pulled back?
Answers
Answer:
because nono gravity
Explanation:
no gravity
A 30 kg object has a frictional force of 60 N. It's coefficient of friction must be...?
A) 0.2
B) 2
C) .002
D) 20
Answers
mass = 30kg
frictional force = coefficient of friction * (mass * g)
g = 9.8 m/s^2
So:
60N = x * 294 N
x = 60 N / 294 N = 0,2
If Newton's third law was true, then why does a table move when I push it? If the table exerted the same amount of force to me, why does it move?
Answers
Name three ways you could increase the strength of an
electromagnet:
Answers
Answer:
adding more turns to the coilwrapping the coil around an iron, more specially a nail ironincreasing the current flow into the coilExplanation:
1. In your own words explain what happens at a subduction zone. 2. In your own words explain what happens at a mid-ocean ridge. 3. At a subduction zone what causes magma to rise?
Answers
Answer:
1. The subduction zone serves as the meeting point for two tectonic plates.
2. At the Mid- Ocean ridge, decompression melting occurs.
3 What causes the magma to rise is the increase in pressure caused by collection of gases by the magma.
Explanation:
Subduction zone is define as a zone where tectonic plates ( an oceanic plate slides beneath a continental plate) meets and contributes to the rise of magma to the surface in geological sciences.
At the Mid - Oceanic ridge, decompression melting occurs. As mantle ascends beneath the mid-ocean ridge, less and less rock lies above it, so large pressure changes occur, which leads to melting. The melt is less dense than the solid, and rises to the surface to form the oceanic crust.
At the subduction zone the magma that is formed is usually made up of silica rich lava. Thick silica rich magma does not release the gasses very easily so they build up inside the magma chamber. As the gasses collect in the chamber, the pressure rises. It is possible for the pressure to rise so much that the chamber cannot contain the magma and it erupts explosively.
400 N of load can be overcome by an effort of 50 N by using a lever. Calculate the mechanical advantage of the lever.
Answers
Answer:
load (l)=400N
Effort(E)=50N
mechanical advantage (MA)= load ÷Effort
(ma)=400÷50
(ma)=8
Explanation:
I copy pasted from the answer from the same question. Remember to first check if ur question is there
You are making s'mores with a friend. When you heat the marshmallow over the fire, what happens to the volume of the air bubbles inside the marshmallows? *
Answers
Answer:
Heat was trapped within the marshmallow.
Explanation:
Increasing temperatures make air contained within the marshmallow extend to fill up more room, causing the versatile sugar combination to spread. Eventually, if there is so much tension? It's small explosion. But take the marshmallow out from the heat, and it's going to deflate even if the extended gelatin does not really recover quickly.
Answer:
Heat gets trapped within the marshmallow.
Explanation:
Choose all the answers that apply.
Check all the statements that are correct.
An independent variable is the variable which is changed.
The dependent variable is the variable which is observed as a result of the change.
If data can be repeated, it cannot be trusted.
Experiments are usually published to communicate findings to the scientific community.
Disproving a hypothesis means it cannot be tested again.
Answers
Answer: An independent variable is the variable which is changed. Experiments are usually published to communicate findings to the scientific community.
Disproving a hypothesis means it cannot be tested again.
Explanation: i hoped that helped.
to calculatw the power produced by a force, the size of the force must be known. What else needs to be known to calculate the power
Answers
-- The distance the force moved through
-- How long the force lasted
The other thing we need to calculate the power is the "Velocity".
A quantity of labor or work done to be accomplished within a particular period of timeframe is determined as power. It is denoted by "P".According to the given query, we are talking about the relation between Power and Force. Along with simple instances where such an item is moved at continuous speed by a constant force.
The relation can be shown as:
→ [tex]P= Fv[/tex]
where,
P = PowerF = Forcev = VelocityThus the above is the right response.
Learn more about Power here:
https://brainly.com/question/11380506
A man is pulling on a rope with a force of 72 N
directed at an angle of 36◦
to the horizontal.
What is the x-component of this force?
Answer in units of N.
Answers
Answer:
57,6N
Explanation:
To find the component of a force on the x-axis we can simply do:
F * cos(36) = 72N * 0.8 = 57,6N
True or False: In a parallel circuit, if one path is broken, electrons continue to flow to the
other paths
Answers
Answer:
false
Explanation:
this is what google said
No because the path the electricity needs to follow is broken. In a parallel circuit, electricity has more than one path to follow. Electrons can follow different paths as they flow from the negative side of the battery to the positive side.
You are taking an image of a patient who is in extreme discomfort while participating in the CT scanning process. Which of the following qualities must you exhibit to obtain a clear and accurate image? O communication skills O interpersonal skills o detail oriented physical endurance
Answers
Answer:
Interpersonal skills
Explanation:
Answer:
The right answer is interpersonal skills
Explanation:
give the other person brainliest they deserve it
You push against a wall and the wall pushes back on you.
O Newton's 1st Law of Motion
O Newton's 2nd Law of Motion
Newton's 3rd Law of Motion
Answers
Answer:
Its the third law of motion.
Explanation:
Newton's third law of motion states that every action has equal and opposite reaction.
How much time does it take an object to fall 4.9 meter?
A) less than 1 second
B) 1 second
C) more than 1 second
Answers
Answer:
C more than 1 second
Explanation:
it will take time since its 4.9 meters and how hard you throw it down
Jen had an average speed of 2.5 m/s when hopping on one foot. If she hopped for 5.0 seconds, for what distance was she hopping?
Answers
Explanation:
distance
speed =_________
time
distance = speed × time
= 2.5 × 5.0
distance = 12.5 m
A stunt man launches a car from the edge of a cliff horizontally. If he is launching off a
30-meter high cliff and must hit a mark 268-meters down range, with what speed
must he leave the cliff?
Answers
Answer:
All i got to say is that he is dead dead
Explanation:
A stone is thrown straight up in the air. If g represents the acceleration due to
gravity, which one of the following statments about the stone is false?
When the stone reaches the top of its flight, its acceleration is still g.
As the stone rises, its potential energy decreases.
When the stone reaches the top of its flight, its energy is zero.
As the stone rises, it is accelerated downward.
As the stone rises, its kinetic energy decreases.
Answers
Answer:
The correct false statement is;
As the stone rises, its potential energy decreases
Explanation:
When the stone is thrown straight up into the air, the initial velocity, u, progressively decreases according to the following equation;
v = u - g·t
Where;
v = The final velocity
g = The acceleration due to gravity = 9.81 m/s²
t = The time taken
Therefore whereby, the kinetic energy. K.E. is given by the equation , K.E. = 1/2 × m × u², as u reduces, the kinetic energy reduces
However, the potential energy, P.E. is given as P.E. = m × g × h
Where;
h = Height
m = The mass of the stone
Therefore, as the stone rises, the potential energy increases.
PLZ HELP ME
1. A stone is thrown horizontally from a cliff 30m high with an initial speed of 20m/s. How far from the cliff does the stone strike the ground?
2. A ball rolls off the edge of a table 1.44m above the floor and strikes the floor at a point 2m horizontally from the edge of the table.
A) What is the time the ball was in the air?
B) What is the initial velocity of the ball?
3. A golfer hits a ball and gives it an initial velocity of 40 m/s, at an angle of 30º above the horizontal.
A) How long does the ball stay in the air?
B) How far horizontally (the range) does the ball travel before hitting the ground?
Answers
Answer:
1. The stone will strike the ground 49.46 m from the base of the cliff
2. A) Approximately 0.542 seconds
B) Approximately 3.69 m/s
3. A) The time the ball spends in the air is approximately 4.0775 s
B) The horizontal range is approximately 141.25 m.
Explanation:
1. The time it takes the stone to land is given by the equation, t = √(h/(1/2 × g)
∴ t = √(30/(1/2 × 9.81)) ≈ 2.473 seconds
The horizontal distance covered by the stone in that time = 20 × 2.473 ≈ 49.46 m
The stone will strike the ground 49.46 m from the base of the cliff
2. A) The time the ball spends in the air = t = √(h/(1/2 × g)
∴ t = √(1.44/(1/2 × 9.81)) ≈ 0.542 seconds
B) The initial horizontal velocity, u = Horizontal distance/(Time) = 2/0.542 ≈ 3.69 m/s
The initial horizontal velocity ≈ 3.69 m/s
3. A) The time the ball spends in the air is given by the following equation;
t = 2 × u × sin(θ)/g = 2 × 40 × sin(30)/9.81 ≈ 4.0775 s
t ≈ 4.0775 s
B) The horizontal range, R, of the ball is given by the equation for the range of a projectile as follows;
[tex]Range, R = \dfrac{u^2 \times sin (2 \cdot \theta) }{g}[/tex]
Substituting the known values, gives;
[tex]Range, R = \dfrac{40^2 \times sin (2 \times 30^{\circ}) }{9.81} \approx 141.25 \ m[/tex]
The horizontal range ≈ 141.25 m.
A turtle is moving at a speed of 1.5 m/s for a time of 120 s. What is the distance the turtle travels?
Answers
Answer:
The answer is 180 mExplanation:
The distance covered by an object given it's velocity and time taken can be found by using the formula
distance = velocity × time
From the question we have
distance = 1.5 × 120
We have the final answer as
180 mHope this helps you
Answer:
180 meters
Explanation:
1.5 m/s x 120 s
Choose ALL that apply: Read the story below and choose every sphere shown directly in the story. A volcano erupts on a mountain side. It creates a huge cloud of smoke and ash which block out the sun, making it harder for plants to grow.
Question 3 options:
Biosphere
Geosphere
Hydrosphere
Atmosphere
Answers
Answer:
biosphere
Explanation:
pretty sure bc it is ground
A student is given an investigation of the human body. The student is to predict how new cells are created. According to cell theory, which prediction is correct?
A.Cells grow and develop, but are never replaced.
B. New cells are created from pre-existing cells in the human body.
C. New cells are created but quickly die during cell growth.
D. Humans are born with all the cells they will ever need.
Answers
Answer:
B. New cells are created from pre-existing cells in the human body.
Explanation:
According to the cell theory, the correct assumption from the student's investigation is that "new cells are created from pre-existing cells in the human body".
One of the postulates of the cell theory is that all cells originated from pre-existing cells. Also, a cell is the fundamental unit of life.So, the student is correct to say that new cells are created from pre-existing cells in the human body.
In which situation is the net force on the object equal to zero?
A.) a bicycle moving at a constant speed on a straight, level road
B.) an automobile braking to a stop
C.) a satellite moving at a constant speed around Earth in a circular orbit
D.) a pitched baseball being hit by a bat
Answers
Answer:
A.) a bicycle moving at a constant speed on a straight, level road.
Explanation:
Force is given by the multiplication of mass and acceleration.
Mathematically, Force is;
[tex] F = ma[/tex]
Where;
F represents force measured in Newton.
m represents the mass of an object measured in kilograms.
a represents acceleration measured in meter per seconds square.
In Physics, when the net force acting on a body or an object is equal to zero (0); the body or object is said to be in a state of equilibrium because it is not accelerating. This ultimately implies that, an object whose net force is equal to zero is either moving with a constant speed or the object is static i.e not moving at all.
In this scenario, the situation in which the net force on the object is equal to zero would be a bicycle moving at a constant speed on a straight, level road because it is at equilibrium and as such its resultant force is equal to zero.
The net force on the object (bicycle) is zero due to its constant speed on a straight levelled road. Hence, option (A) is correct.
The given problem is based on the Newton's second law to define net force. The net force on any object is an external effort by which the object change its speed with respect to time or tends to change the state of its motion. The mathematical expression for the net force is,
F = ma
Here, F is the net force, m is the mass of object and a is the acceleration of object.
When the net force acting on a body or an object is equal to zero , then the body or object is said to be in a state of equilibrium because it is not accelerating. This ultimately implies that, an object whose net force is equal to zero is either moving with a constant speed or the object is static i.e not moving at all.In the given problem the net force on the object is equal to zero would be a bicycle moving at a constant speed on a straight, level road because it is at equilibrium and as such its resultant force is equal to zero.
Thus, we conclude that the net force on the object (bicycle) is zero due to its constant speed on a straight levelled road. Hence, option (A) is correct.
Learn more about the Newton's Second law here:
https://brainly.com/question/13447525
Scientists have invented the equipment to harness the power of lighting for energy use. True or false
Answers
Let me know if it’s incorrect .
Which of the following best describes applying a force over a period of time?
power
energy
Impulse
Answers
it’s the only one that makes sense energy is just light and power almost the same thing
A satellite was in two separate crashes. In both crashes, the satellite had the same mass. Engineers want to know about the speed and direction of the satellite after the crashes. Why would the crash affect the motion of the satellite, and which crash caused a greater change in motion for the satellite?
Answers
Answer & Explanation:
Crashing into the asteroid would cause the satellite to slow down, stop, or reverse direction, because it is a force in the opposite direction to the satellite's motion. Whichever crash was a stronger force would cause it to change motion more. It takes a stronger force to change the velocity of a more massive object.