Given,
[tex]|2x+6|-4=20[/tex]On simplifying,
[tex]\begin{gathered} |2x+6|=20+4 \\ \Rightarrow|2x+6|=24 \\ 2x+6=\pm24 \end{gathered}[/tex]Thus,
[tex]\begin{gathered} 2x=+24-6 \\ \Rightarrow x=\frac{18}{2} \\ =9 \end{gathered}[/tex]Or
[tex]\begin{gathered} 2x=-24-6 \\ x=\frac{-30}{2} \\ =-15 \end{gathered}[/tex]Thus, x=9 and x=-15
Therefore the correct answer is the third option
a 100 n box is at rest on a tabletop where the coefficients of friction are 0.4 static and 0.3 kinetic. what force of friction will be present if you push on it horizontally westward with 35 n? give magnitude and direction of friction force.
A 100 n box is at rest on a tabletop where the coefficients of friction are 0.4 static and 0.3 kinetic. static force of friction will be present if you push on it horizontally westward with 35 N.
W = 100N - Ms = 0.4 Mi = 0.3
F = 35N
F = W = 100N
Now, limiting friction is
Fl = mi. N
or fi = 0.4x 100 = 40N
Here, limiting friction is greater than the applied force so, box will not move and remain at rest.
so, here only static friction will work.
fs = F = 35N
fs = 35N
fs = 35N static friction force
What is static friction force?
Static friction is the force that prevents an object from moving along a path. When two fabrics slide over each other, this friction occurs. All around us is friction. For example, when we walk, our feet touch the floor.
When we move, the backward movement of our foot puts pressure on the floor while the other foot moves forward. Furthermore, when we apply this frictional force to the floor, the floor beneath our feet exerts an equal and opposite force. This is consistent with one law of motion.
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first, launch the video solenoids. after watching the video, answer the follow-up question below. select to launch video part a a solenoid with 200 loops is 55 cm long. it has a current of 1.2 a . what is the magnetic field in this solenoid?
The magnetic field in the solenoid due to current 1.2A is 54.807 x 10⁻⁵ A/m
The No. of Loops in the solenoid, N = 200
Length of the solenoid, l = 55 cm
The current passing through the solenoid, I = 1.2 A
The magnetic field passing through the solenoid can be calculated using the Ampere's law which is
B = μ₀nI
where B is the magnetic field
μ₀ is the permeability of free space
n is the no. of turns per meter
I is the current passing through the solenoid
Thus , we can re-write this formula a
[tex]B = \frac{\mu_0 N I}{l}[/tex]
Let us substitute the know values in the above equation , we get
B = (4 x 3.14 x 10⁻⁷ x 200 x 1.2 ) / (55 x 10⁻²)
where μ₀ = 4π x 10⁻⁷
B = 3014.4 x 10⁻⁷ / 55 x 10⁻²
B = 54.807 x 10⁻⁷ x 10²
B = 54.807 x 10⁻⁵ A/m
Therefore , the magnetic field passing through the given solenoid is
54.807 x 10⁻⁵ A/m
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A ball is shot 58m/s at 40 degrees to the ground. What is the magnitude of the vertical component of the velocity of the plane?
The magnitude of vertical component of the velocity of the plane when a ball is shot 58 m/s at 40 degree to the ground is 37.28 m/s.
What is velocity?
Velocity can be defined as the rate of change of displacement, The S.I unit of velocity is m/s.
To calculate the magnitude of the vertical component of the velocity, we use the formula below.
Formula:
Vy = Vsin∅.............. Equation 1Where:
Vy = Vertical component of the velocityV = Velocity of the ball∅ = Angle the ball makes with the groundFrom the question,
Given:
V = 58 m/s∅ = 40°Substitute these values into equation 1
Vy = 58(sin40°)Vy = 58×0.6428Vy = 37.28 m/sHence, The magnitude of the vertical component of the velocity is 37.28 m/s.
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a machine has a efficiency of 20%, find the input work if the output work is 140 J
The input work of a machine with an efficiency of 20% and an output work of 140 J is 28 J
What is input work of a machine?
Input work is the work done on a machine as the input force acts through the input distance.
To calculate the input work of the machine, we use the formula below.
Formula:
E(%) = (Wi/Wo)×100......... Equation 1Where:
E(%) = Efficiency of the machineWi = Input workWo = Output work.Make Wi the subject of the equation
Wi = E(%)×Wo/100....... Equation 2From the question,
Given:
E(%) = 20%Wo = 140 JSubstitute these values into equation 2
Wi = 20×140/100Wi = 28 JHence, the input work of the machine is 28 J.
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a 0.145 kg baseball is thrown with an intitial volecity of 40 m/s. it is hit with a 0.95 kg bat swung at 35 m/s. find the speed of the baseball after this elastic collision
The speed of the baseball after this elastic collision is 35.825 m/s
What is an elastic collision?In an elastic collision is one in which no net loss of kinetic energy in the system is observed after collision. Elastic collisions conserve, momentum and kinetic energy. It works on the basis of the law of conservation of momentum. This may be explained by following equation:
Pₙ = P₁ + P₂
mₙvₙ = m₁v₁ + m₂v₂
Where, Pₙ = final momentum
mₙ = total mass of the system
vₙ = final velocity of the system
For the given question:
(m₁ + m₂)vₙ = m₁v₁ + m₂v₂
(0.145 + 0.95)vₙ = (0.145 × 40) + (0.95 × 35)
1.09 vₙ = 5.8 + 33.25
1.09 vₙ = 39.05
vₙ = [tex]\frac{39.05}{1.09}[/tex]
vₙ = 35.825 m/s
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By 1335, mechanical ____ had first appeared in Milan, Italy, and then in other cities.
A) Robots
B) Power
C) Toys
D) Clocks
Mechanical robots had first appeared in Milan, Italy, and then in other cities.
Robots are machines, especially those that can be programmed by computers, that are capable of performing intricate sequences of tasks automatically. A robot can be directed by an internal control system or an external control device. Although some robots are built to resemble humans, most robots are task-performing machines that place a greater focus on bare utility than on expressive aesthetics.Robotics is the area of technology that deals with the development, manufacturing, use, and use of robots as well as the computer systems that control, sense, and process information for them. These technologies deal with automated devices that can replace people in hazardous settings or production processes or that are similar to people in terms of appearance, conduct, or cognition. The field of bio-inspired robotics has benefited from the inspiration of nature found in many of today's robots. Soft robotics, a more recent field of robotics, was also developed by these robots.To know more about robots
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HELP ASAP!!
What has more momentum in a collision, a fly or a Corvette?
According to Newton’s third law, the force of a fly on the windshield of a Corvette is equal to the force of the Corvette’s windshield on the fly, only in the opposite direction. Why then does the fly get crushed and the Corvette doesn't even feel the collision? This is where momentum comes into play. Momentum of an object is its mass in kilograms times its velocity in m/s. The mass of the fly is 0.2 kilograms and it’s flying at a velocity of 11 meters per second. The Corvette has a mass of 1,518 kilograms and is driving with a velocity of 27 m/s in the opposite direction. During the collision, the Corvette’s mass times velocity will equal a greater momentum because it has significantly more mass and a much greater velocity than the fly.
ANSWER BELOW USING THE RACES STRATEGY
Answer:
convert not telling why but it was the answer I gave it says it was right
Momentum of an object is directly proportional to the mass of the object. The corvette has greater mass and thus more momentum it gains than the little fly.
What is momentum:Momentum of an object is the product of mass and velocity. Thus momentum is directly proportional to the mass and velocity of the object. This relation of momentum with mass and velocity is defined by Newton's law of motion.
According to Newton's third law of motion every reaction has an equal and opposite reaction. Thus if apply a force on object it may return a force but that will depend on the mass and direction.
When the fly hit the moving corvette, the greater impulse will be for the fly since it is very less in mass compared to that of the corvette. The momentum of corvette is higher because velocity and mass of the corvette is significantly higher than that of fly.
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Please I need at least 3 differences between high and low specific heat capacity I will mark you brainliest
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| Specific Heat Capacity |"What Is It and What Are Some Differences Between High and Low Specific Heat Capacity?"
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Hello! Today, let's begin with discussing what specific heat capacity is.
"What is Specific Heat Capacity?"
It is the amount of heat per unit required to increase the temperature by 1°C. Most of the time, specific heat is used for determining the processing temperatures as well as amount of heat that is necessary for processing. It is helpful in differentiating between that of two polymeric composites.XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
"What is High and Low Specific Heat Capacity?"
Now, this specific situation is asking a question regarding the differences between high and low specific heat capacity. When the specific heat capacity is high, this means that it takes more energy to either increase or decrease its temperature. Take water for instance; water has a high specific heat, meaning it will take more energy to increase the temperature of the liquid compared to other substances. That's why when you are boiling water in a pot, the water needs time to absorb heat before it begins to boil at the increase in temperature.On the other hand, when the specific heat capacity is low, this means that it doesn't take as much energy to increase or lower as high SHC does. For example, any metals such as iron have low specific heat. It doesn't take long for the substance's energy to increase the temperature. The same thing occurs when you place a spoon in a cup of hot coffee. It is said that even other substances like sand have relatively low specific heat.______________________________________________________
Hopefully this sort of helps you have a better understanding of what specific heat is, as well as the differences between that of high and low specific heat capacity. Also, if this is a write your answer response, it is better to dive further into your studies and notes regarding this topic so you can properly answer the question and follow the guidelines. Anyways, I wish you the best of luck on your assignment. Thanks for reading!
Can someone help me pls, i have like another 3 questions like this :')
what is the momentum of an 7.2- kgkg bowling ball rolling at 3.0 m/sm/s ? express your answer to two significant figures and include the appropriate units.
Answer: 20.16kg.m\s
Explanation: Here is given that M= 7.2 Kg, and v= 2.8 m/s So, momentum ,P=M. v = (7.2*2.8) = 20.16 Kg. m/s, which is a number having four significant digits. but we have to provide the answer in two significant digits. Therefore, to convert
A 12 kg box is pushed to the left by a 48 N force.
Find its acceleration.
Answer: 4m/2
Explanation: If you divide 48N and 12N, you will get 4m/s
What is Amy's distance and displacement if she runs 2 miles south, then turns around and runs 3 miles north?
Amy's distance and displacement if she runs 2 miles south, then turns around and runs 3 miles north is 1 mile.
What is Displacement?This is referred to as the change in the position of an object and it is usually measured in meters by finding the difference in location between the two bodies involved.
We were told that she runs 2 miles south, then turns around and runs 3 miles north and they are at exact opposite sides on the map which means that the displacement will be:
3 miles - 2 miles
= 1 mile hence, it is the correct choice.
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a simple pendulum has a period t on the earth. if it were used on planet x, where the acceleration due to gravity is 3 times what it is on earth, its period would be
If a simple pendulum has a period t on the earth. if it were used on planet x, where the acceleration due to gravity is 3 times what it is on earth, the time period is 0.577 times the time period on earth.
What is the frequency?
It can be defined as the number of cycles completed per second. It is represented in hertz and inversely proportional to the wavelength.
As given in the problem a simple pendulum has a period t on the earth. if it were used on planet x, where the acceleration due to gravity is 3 times what it is on earth,
Time period of simple pendulum = 2π √( l / g)
= 2π √( l / 3g)
Thus, the time period is 0.577 times the time period on earth.
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