The coefficeint of static friction, given that the 12 Kg sled is lying on the hill with an incline of 21 degrees is 0.38
How do I determine the coefficient of static friction?We know that the coefficient of static friction is related to frictional force according to the following formula:
Frictional force (N) = coefficient of friction (μ) × normal reaction (N)
F = μN
μ = F / N
For inclined plane, we have:
F = mgSineθ
N = mgCosθ
Thus,
μ = mgSineθ / mgCosθ
Recall
Sineθ / Cosθ = Tanθ
μ = Tanθ
Where
m is the mass of objectg is the acceleration due to gravityNow, we shall determine the coefficient of static friction as follow:
Mass of sled(m) = 12 KgAngle of inclination (θ) = 21 degreesCoefficient of static friction (μ) =?μ = Tanθ
μ = Tan21
μ = 0.38
Thus, the coefficient of static friction is 0.38
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A rescue helicopter is lifting two people upwords as shown in the diagram below. The tension in the cable is 1205.4 N while the helicopter ascends at a Constant Speed ignore are resistance.
Explanation:
Let
T
be the tension of the cable and m
g
be the force of gravity. If the upward direction is positive, then Newton’s second law is T−mg=ma, where a is the acceleration. Thus, the tension is T=m(g+a). We use constant acceleration kinematics (Table 2-1) to find the acceleration (where v=0 is the final velocity, v
0
=−12m/s is the initial velocity, and y=−42m is the coordinate at the stopping point). Consequently, v
2
=v
0
2
+2ay leads to
a=−
2y
v
0
2
=−
2(−42m)
−12m/s
=1.71m/s
2
We now return to calculate the tension:
T=m(g+a)
=(1600kg)(9.8m/s
2
+171m/s
2
)
=1.8×10
4
N
A car has a weight of 8000 N. The car is supported by four tyres.
The weight on each tyre is equal.
The area of one tyre in contact with the ground is 150 cm².
Calculate the pressure that one tyre exerts on the ground.
Show your working and give your answer in N/cm².
Answer: A
Explanation:
The maximum force that wire A can withstand without breaking is 2000 N. Wire B is made of the same material as wire A but has twice the diameter.
What is the maximum force that wire B can withstand?
The maximum force that wire B can withstand is same as A.
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.
The gravitational constant, denoted by the capital letter G, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity.
For wire diameter do not effect the force it can withhold so, A and B and have same force 2000 N.
The maximum force that wire B can withstand is same as A.
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The model of the electromagnetic spectrum shows red and violet colors of visible light.
Answer: Dispersion of visible light produces the colors red (R), orange (O), yellow (Y), green (G), blue (B), and violet (V). It is because of this that visible light is sometimes referred to as ROY G. BIV.
Explanation:
An airplane is taking off from the runway. The airplane accelerates from its initial velocity of 48 m/s and needs to be going 84 m/s in order to be able to take off. They have to take off before they reach the end of the 2965 m. Include known-unknown tables as part of your answer
A. What is the acceleration of the airplane as it heads down the runway?
B. How long does it take for the airplane to reach the end of the runway?
Answer:
A. The acceleration of the airplane is 36 m/s2.
B. It takes the airplane 82.5 seconds to reach the end of the runway.
C. The final velocity of the airplane is 84 m/s.
Which type of energy does an object not have if it is not moving?
Answer:
Explanation:
A motionless object can have energy. The energy that the object has is called potential energy.
Energies it does not have may consist of kinetic energy, gravitational potential energy, elastic potential energy, and chemical potential energy
A machine works with an efficiency of 20%. The energy input is 200 joules/second. How
much useful energy will the machine generate in 10 minutes?
A. 36 kJ
B. 24 kJ
C. 40 kJ
D. 600 kJ
The quantity of useful energy which this machine would generate in 10 minutes is equal to: B. 24 kJ.
How to determine the efficiency of a machine?Mathematically, energy efficiency can be calculated by using this formula:
Energy efficiency = WO/WI × 100
Where:
WO represents the output energy.WI represents the input energy.For the output energy, we have:
20 = WO/200 × 100
4000 = 100WO
Output energy, WO = 4000/100
Output energy, WO = 40 joules/second.
Note: A minute is equal to 60 seconds.
In 10 minutes, the time is given by:
10 minutes = 10 × 60
10 minutes = 600 seconds.
Now, we can determine the useful energy generated by this machine:
Useful energy = 40 joules/second × 60 seconds
Useful energy = 24,000 Joules or 24 Kilojoules (24 kJ).
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A 1275 kg car travels 10 meters in 40 seconds. What is the car’s power?
Using velocity we will get the car’s power is 46.48 m/s.
What is velocity?
velocity is directional speed of a object in motion as an induction of it's rate of change in position observed from a particular frame of reference and as measured by a particular standard of time.
Sol- The linear momentum of a body is defined as the product of its mass and its velocity given by-
P = mv
According to the question the momentum of the truck is-
Pr=2250×25 kgm /s
Pr=56250 kgm/s
Now we can see the momentum of the car and the truck must be same that is Pc=Pr
1210×v =56250 kgm/s
v= 56250/1210
v= 46.48 m/s
Thus the velocity of the car is 46.48m/s .
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Monkey Joe is trying to prove how strong he is by pulling a 5000 kg truck. He applies a force of 6000N at an angle of 30 below the horizontal. The coefficient of kinetic friction is 0.01.
Then I need help with all the parts to the question seen in the picture.
(h) The net force equation for y-direction is F(net)_y = F sinθ
(i) The normal force acting on the truck is 490,000 N.
(j) The force of friction acting on the truck is 490 N.
(k) The net force equation for the x - direction is F(net)_x = Fcosθ - Ff.
(l) The acceleration of the truck is 0.94 m/s².
What is free body diagram?A free body diagram (FBD) is a sketch of all the forces acting on object, indicating the direction of the applied force.
↑ N
Ff → Ф ← F
↓W
where;
N is the normal force on the blockW is the weight of the blockFf is the force of frictionF is the applied forceThe net force equation for y-direction is calculated as follows;
F(net)_y = F sinθ
The normal force acting on the truck is calculated as follows;
Fn = mg
where;
Fn is the normal force on the truck acting upwardsm is mass of the truckg is acceleration due to gravityFn = 5000 x 9.8
Fn = 49,000 N
The force of friction acting on the truck is calculated as follows;
Ff = μFn
where;
μ is coefficient of frictionFn is normal forceFf = 0.01 x 49,000 N
Ff = 490 N
The net force equation for the x - direction is written as;
F(net)_x = Fcosθ - Ff
where;
F cosθ is the force applied along the x-directionFf is force of frictionF(net) = 6000 x cos(30) - 490
F(net) = 4,706.15 N
The acceleration of the truck in the sleeping bag is calculated as follows;
a = F(net) / m
a = (4,706.15) / (5000)
a = 0.94 m/s²
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If a runner maintains a constant speed of 12 km/h, how long will it take to complete a marathon race of 26.2 miles?
Answer:
below
Explanation:
First, convert 26.2 mi to km = 42.16 km
then 42.16 km / 12 km/ hr = 3.51 hr = 3 hr 30.8 m
when a roller coaster gets to the bottom of a descent, describe the energy transfers and changes to energy stores that happen if:
a) the brakes are applied
b) it goes up and over a second hill
a) At the application of the brakes, there is a conversion of kinetic to potential energy.
b) When it climbs the second hill, the kinetic energy of the roller coaster is now converted to potential energy.
What is the conservation of energy?Let us recall that according to the principle of the conservation of energy, energy can neither be created nor destroyed but it can be transformed from one form to another. In the roller coaster, we can see the principle of energy transformation at work. This is one of the easiest ways that we could use to be able to describe the conservation of energy.
When a break has been applied in the roller coaster, there is a consversion of energy from kinetic energy to potential energy. Recall that the kinetic energy has to do with the energy that is in motion. This is converted to the potential energy of a stationary roller coaster.
Again when the roller coaster goes up a second hill, there is a change from kinetic to potential energy that the roller coaster would possess at the top of the hill.
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Which of the following is a true statement about the conservation of energy?
According to the law of conservation of energy, statement which is true about conservation of energy is that the total energy is always conserved.
What is law of conservation of energy ?According to law of conservation of energy, it is evident that energy is neither created nor destroyed rather it is restored at the end of a chemical reaction .
Law of conservation of mass and energy are related as mass and energy are directly proportional which is indicated by the equation E=mc².Concept of conservation of mass is widely used in field of chemistry, fluid dynamics.
Law needs to be modified in accordance with laws of quantum mechanics under the principle of mass and energy equivalence.This law was proposed by Julius Mayer in the year 1842.
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
Answer:
The answer is C inertia
Explanation:
This action is a result of the disks.
A customer enters a grocery store with an empty shopping cart that has a mass of 20 kg. Another customer is leaving the store with a shopping
cart full of groceries that has a mass of 40 kg. The two customers accidentally bump their carts together.
Explain whether you agree or disagree with Eve's Mypothesis. Use Newton's third law of motion to support your answer.
Eve observes the accident. She hypothesizes that the cart full of groceries applied more force to the empty cart than the empty cart applied to the
full cart.
We disagree with Eve's hypothesis that the cart full of groceries applies more force to the empty cart than the empty cart applies on the cart with groceries.
Mass of empty shopping cart = 20 Kg
Mass of cart full of groceries = 40 Kg
Newton's third law of motion states that each action has equal and opposite reaction. Thus, if empty cart exerts a force on the cart full of groceries, then the cart full of groceries should exert same amount of force on the empty cart when two customers accidently bump their carts. Hence, Eve's hypothesis is opposite to Newton's third law of motion.
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A plane flies along a straight line path after taking off, and it ends up 190 km farther east and 80.0 km farther north, relative to where it
started. What is the plane's displacement?
O 141 km
O 210 km
O 270 km
O 110 km
1 2 3 4 5 6 7 8 9 10
Next ▸
The plane has a 210km displacement value.
The ideal answer is B.
How far is the plane moving?A plane flies straight after takeoff and ends up 190 km to the east and 800.0 km to the north of where it started.
We should use Pythagoras' Theorem to solve this problem.
Distance 2 is calculated as 190^2 + 80^ = 210 km.
which, when rounded, is equivalent to 210 kilometers.
190^2 + 80.0^2 = 45000
√45000
210KM
The displacement of the plane is 210 kilometers.
An object's positional change is referred to as "displacement." It possesses a magnitude and direction as a vector quantity. It is represented by an arrow that leads from the starting point to the destination. An object's position changes, for example, if it moves from position A to position B.
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Two microscopic bags each contain two protons. When separated by distance d, electric force on one due to the other is F. When you transfer a proton from one to another without changing anything else. The electric force now is
Two microscopic bags each contain two protons. When separated by distance d, electric force on one due to the other is F. When you transfer a proton from one to another without changing anything else. The electric force now is ¾F.
What is electric force?Electric force is described as the repulsive or attractive interaction between any two charged bodies.
The electric force is one of the various forces that act on objects and has its impact and effects on the given body which is described by Newton’s laws of motion.
The electric force between two electrons is equal to the electric force between two protons when placed at equal distances and this describes that the electric force is not based on the mass of the object, but depends on the quantity known as the electric charge.
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
Answer:
b
Explanation:
Because the 20kg block has a higher mass it takes more force to move it. Following Newton's first law. An object at rest wants to stay at rest and one moving wants to keep moving. Considering there's more atoms in the higher kilogram block than the smaller one more atoms would want to stay at rest therefore experience more inertia and accelerate slower.
How long does it take a ball to fall 75.0m? (g = -9.81 m/s²)
O 15.3 m/s²
O 3.91 s
O 15.3 s
O 3.90 m/s²
Answer:
3.91 s
Explanation:
d = -75
a = -9.81
d = 1/2 at^2
-75 = 1/2 ( -9.81) (t^2)
75 = 1/2 ( 9.81) t^2 shows t = 3.91 s
when 2cm tall object is placed in front of converging lens,0.5 cm long real image is formed 11cm away from object find its focal length
The focal length of the lens is 14.67 cm.
The focal length of an optical device is a measure of how strongly the machine converges or diverges mildly; it's miles the inverse of the system's optical electricity. A wonderful focal length suggests that a system converges mildly, while a negative focal duration shows that the system diverges mildly.
Calculation:-
himage/h object = f-v/f
0.5/2 = f - 11/f
0.25f = f - 11
11 = f - 0.25f
11 = 0.75f
f = 11/0.75
f = 14.67 cm
The focal length ( f ) is the gap from a lens or reflects the point of interest ( F ). this is the distance from a lens or replicates at which parallel mild rays will meet. The focal period of (left) a concave lens (with a negative focal length), (middle) a convex lens and. (right) a concave replicate.
The distance from the center of the lens to the photo focal factor (=image sensor floor) is referred to as the focal period. Its miles are expressed in millimeter (mm) gadgets. A lens with a brief focal duration is an extensive-perspective lens and one with a protracted focal length is a telephoto lens.
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Two styrofoam balls are placed so their centers are 3.2 cm apart. The mass of one ball is twice the
mass of the other ball. The larger ball exerts a gravitational force of 2.63 X 10-12 N on the smaller ball.
Calculate the mass of each ball. (Use GUESS method.) Answer 4.49 X 10-3 kg, 8.99 X 10-3 kg
I was given the answers, I just want to know the working equation
Answer:
See below
Explanation:
Fg = G m1 m2 / r^2 Fg = force of gravity and
G, the gravitational constant = 6.6743x10^-11 m^3/(kg s^2)
m2 = 2 m1 is given, then sub in the values:
2.63 x 10^-12 = 6.6743 x 10^-11 ( m1)(2 m1) / ( .032)^2
results in 2 m1^2 = .00004035059
then m1 = .004491 kg and m2 is twice this much
mass 1 = 4.49 x 10^-3 kg as you stated
please respond my question
The astronomy of the star and the parameters of the star in terms of solar units are;
Radius of the star ≈ 5.03 [tex]R_{Sun}[/tex]
Temperature of the star ≈ 0.92 [tex]T_{Sun}[/tex]
Luminosity of the star ≈ 18 [tex]L_{sun}[/tex]
What is the system for astronomy units?The astronomical system of units are a special class of units designed for astronomy.
First part;
One solar radius is specified as [tex]R_{Sun}[/tex] = 6.9551 × 10⁵ km
The radius of the star = 3.50 × 10⁶ km
The radius of the star in units of the solar radius is therefore;
Radius = 3.50 × 10⁶ km ÷ (6.9551 × 10⁵ km) [tex]R_{Sun}[/tex] ≈ 5.03 [tex]R_{Sun}[/tex]Second part;
One unit of the solar temperature, [tex]T_{Sun}[/tex] = 5777 K
The temperature of the star = 5305 K
The stars temperature in units of the solar temperature, is therefore;
Temperature = 5305 K/(5777 K) ≈ 0.92
The temperature of the star in units of the solar temperature is 0.92 [tex]T_{Sun}[/tex]Third part;
The function for the luminosity of a star, L, is; L = 4·π·R²·σ·T⁴
The luminosity of the star = 4 × π × (3.50 × 10⁶)² × σ × 5305⁴
The luminosity of the Sun = 4 × π × (6.9551 × 10⁵)² × σ × 5777⁴
The solar luminosity of the star = (4 × π × (3.50 × 10⁶)² × σ × 5305⁴) ÷ (4 × π × (6.9551 × 10⁵)² × σ × 5777⁴) ≈ 18
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A hamster doing push-ups has a mass of 1 kg and applies force to lift its body 5 cm to complete 0.50 joules of work. If the hamster does this work in 2 seconds, what is its power?
If the hamster does this work in 2 seconds, its power is equal to 0.25 Watt or Joule per second.
What is work done?The work done (W) by an object can be calculated by multiplying the force acting on it by the perpendicular distance covered by the physical object. This ultimately implies that, work done (W) and energy (E) have the same unit i.e Joules (J).
Mathematically, the work done (W) by an object can be calculated by using the following formulas:
Work done (W) = force × distance ..................equation 1.
Work done = power × time ..................equation 2.
Making power the subject of formula in equation 2, we have:
Power = (Work done)/time
Note: The time is measure in seconds.
Substituting the given parameters into the formula, we have;
Power = (0.50 Joules)/2
Power = 0.25 Watt or Joule per second.
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A body is thrown downwards with a velocity of 10ms. Assuming the acceleration due to gravity
is 10ms calculate its displacement after 2s?
s(displacement) = 40m , when a body is thrown towards with a velocity of 10ms.
What is velocity?It can be defined as the distance covered by an object in unit time.
What is displacement?Displacement is defined to be the change in position of an object.
What is acceleration?Rate at which velocity changes with time, in terms of both speed and direction.
How to calculate displacement after 2s when initial velocity is 10ms?S = ut + 1/2 at²
where, S = displacement (m)
u = initial velocity (ms)
a = acceleration (g=10m/s²)
t = time (s)
S = 10×2 + 1/2 × 10(2)²
S = 40m
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a person kicks a ball into the air with a force f0. the figure shows the position of the ball at various times. what is the net force on the ball and its acceleration at the highest point shown?
Answer:
force=mg+Fo
acceleration=0
Explanation:
A weight suspended from a spring is seen to bob up and down over a total distance of 14 centimeters triply each second.
8. What is the frequency?
9. What is the period?
10. What is the amplitude?
8. The frequency of the weight suspended from a spring.is 2Hz.
9. The period is 0.5 seconds.
10. The amplitude is 14cm
What is frequency?Frequency simply means the number of oscillation in a unit time. It is the rate at which something repeats itself in a second.
In this case, the spring bob up and down 2 times per second. Therefore, Frequency = 2 Hz
The period is the time taken to complete one oscillation. 2 oscillations takes 1 second
1 oscillation = 1/2 seconds.
Period = 0.5 seconds
Amplitude is the the maximum displacement of the spring. In this case the spring bob up 14 cm. This is it's displacement.
Amplitude = 14 cm
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In Connecticut, the residential electricity rates increased from 20.75 to 26.64 cents per kilowatt-hour over the last year (Source: Electricity Rates by State).
A family goes on vacation for 14 days but forgets to turn off window air conditioning that uses approximately 1,100 watts of electricity to run. If the cost of electricity is 23.75 cents per kilowatt-hour, how much does it cost to run the window air conditioning? Give the answer in $$ (not cents!)
The cost of running the window air conditioning for 14 days, given that the cost of electricity is 23.75 cents per kilowatt-hour, is $ 87.78
How do I deterrmine the cost for 14 days?We'll begin by obtaing the energy consumed by the window air conditioning for 14 days. This can be obtained as follow:
Power (P) = 1100 watts = 1100 / 1000 = 1.1 KW Time (t) = 14 days = 14 × 24 = 336 hoursEnergy (E) =?E = Pt
E = 1.1 × 336
E = 369.6 KWh
Finally, we shall determine the cost of running the window air conditioning. This is shown below:
Cost per KWh = 23.75 cents = 23.75 / 100 = $ 0.2375Energy (E) = 369.6 KWhCost of running for 14 days =?Cost = energy × Cost per KWh
Cost of running for 14 days = 369.6 × 0.2375
Cost of running for 14 days = $ 87.78
Thus, we can conclude that the cost of running for 14 days is $ 87.78
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An object is dropped from an unknown height. If it falls for 12.0s, how far
does it fall? (g = -9.81 m/s²)
O-706 m/s²
O -706 m/s
O -706 m
O-706 s
Question 7
4.1 pts
Answer:
706 m
Explanation:
Since distance is measured in meters (Standard Issued Units) the answer would be 706 m and not any other value.
help please
Review the statements below. Select the one that best describes the difference between astronomy and cosmology.
A) Astronomy is a much broader study of the universe as a whole, while cosmology is a more focused study on specific objects or celestial bodies contained within the universe.
B) Astronomy is the study of objects in the universe—how they are formed, their composition, and how they change over time. Cosmology is the study of the entire universe—what objects are contained in the universe, and what is happening to the universe over time, including how it may or may not end.
C) Astronomy is a branch of science that focuses on the beginning, middle, and end of the universe. Cosmology is the study of how objects move, interact, and change.
D) Astronomy is the study of space in general through the use of telescopes and other tools, while cosmology is the study of specific objects in space.
The statement that best describes what astronomy and cosmology is the option B. That says that astronomy study objects of the universe and cosmology study the entire universe.
What is astronomy and cosmology?Astronomy is that science that will study the celestial bodies found in the universe such as stars, planets, asteroids, among others. He will study more specifically the components of the universe. While cosmology studies the universe as a whole and its origin, it will study theories such as the big bang theory.
Therefore, we can confirm that the statement that best describes the difference between astronomy and cosmology is that astronomy is the study of objects in the universe—how they are formed, their composition, and how they change over time. Cosmology is the study of the entire universe—what objects are contained in the universe, and what is happening to the universe over time, including how it may or may not end. So the correct option is B.
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Answer:
option B.
Explanation:
A scientist is measuring the height of water hyacinths on 30 ponds. How important is the degree of accuracy of the measurements he gathers? Explain your answers
The degree of accuracy is very important in the measurement of various heights of water hyacinths on ponds to limit errors from its true value.
What is the importance of degree of accuracy for measuring height of water hyacinths?The water hyacinths are a type of aquatic plants that grows in shallow ponds, marshes, small streams, lakes and rivers.
The water hyacinths are very useful to the environment as they reduce water pollution and process as animal feed, compost, and bioenergy.
During measurements in experiment, the accuracy of such measurements should be out under consideration to avoid occurrence of errors.
Although the measurement of the water hyacinth would be gotten from 30 ponds, it's necessary to prevent errors by maintaining accurate heights gotten from each pond as it would act as final value at the end of the experiment.
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Can an object have momentum in space?
Answer: Objects in space can have momentum space because momentum depends on mass and velocity. Unlike other quantities, like weight, mass does not change if an object is on space or on Earth.
Explanation: Because momentum depends on mass and velocity and unlike other quantities, like weight, mass does not change if an object is on space or on Earth.