The final speed is approximately 17.79 m/s. The final speed of the block is determined by calculating the net force and resulting acceleration, then using kinematic equations.
Final Speed of the Block
To determine the final speed of the block, we first need to calculate the net force acting on the block. Given:
Horizontal force (F) = 30 NMass of the block (m) = 2.5 kgInitial speed [tex](v_0) = 7.0 m/s[/tex]Coefficient of kinetic friction [tex](\mu_k) = 0.25[/tex]Distance (d) = 14 mThe force of kinetic friction (Ffriction) is calculated as:
[tex]F_{friction} = \mu_k \times N[/tex]
Where N is the normal force, and on a level floor N = mg:
[tex]N = m \times g = 2.5 kg \times 9.8 m/s^2 = 24.5 N[/tex]
Thus, the force of friction:
[tex]F_{friction} = 0.25 \times 24.5 N = 6.125 N[/tex]
The net force (F_{net}) acting on the block is:
[tex]F_{net} = F - F_{friction} = 30 N - 6.125 N = 23.875 N[/tex]
Using Newton's second law (F = ma) to find acceleration (a):
[tex]a = F_{net} / m = 23.875 N / 2.5 kg = 9.55 m/s^2[/tex]
We use the kinematic equation to find the final speed (v):
[tex]v^2 = v_0^2 + 2ad\\v = \sqrt{((7.0 m/s)^2 + 2 \times 9.55 m/s^2 \times 14 m)} = \sqrt{(49 + 267.4)} = \sqrt{(316.4)} = 17.79 m/s[/tex]
Therefore, the final speed of the block is approximately 17.79 m/s.
The image shows one complete cycle of a mass on a spring in simple harmonic motion.
Which describes the system at point D?
A.The velocity has the maximum upward value because the acceleration upward is at a maximum.
B.The net force is at a maximum in the downward direction, so the velocity begins to decrease.
C.The velocity is zero because the net force is zero.
D. The net force is zero, so the acceleration is zero.
Answer:
D. The net force is zero, so the acceleration is zero
Explanation:
In a simple harmonic motion, velocity and acceleration are out-of-phase as follows:
- When the displacement is zero (so, when the spring is in equilibrium position), the acceleration is zero, because the force is zero. In fact, the force is given by Hook's law:
[tex]F=-kx[/tex]
So, when x=0, F=0, and the acceleration is also zero according to Newton's second law:
[tex]a=\frac{F}{m}=0[/tex]
Instead, the velocity is maximum. In fact, the total mechanical energy (sum of kinetic and elastic potential energy) is constant, and since the elastic potential energy:
[tex]U=\frac{1}{2}kx^2[/tex]
is zero at x=0, this means that the kinetic energy is maximum. But the kinetic energy is
[tex]K=\frac{1}{2}mv^2[/tex]
and so, the velocity is also maximum.
- When the displacement is maximum, it is the opposite: the acceleration is maximum (because x is maximum, so the force is maximum), while the velocity is zero, because the elastic potential energy is maximum and so the kinetic energy is zero).
At point D, we are in the first situation (the spring is passing its position of equilibrium, so x=0), therefore the net force is zero and the acceleration is zero.
Answer:
D: The net force is zero, so the acceleration is zero
Explanation:
1) mechanical
2) electrical
3) thermal
4) light
5) chemical
In this system,_________ energy from the moving water of the faucet turns the turbine. The _________ energy of the spinning turbine generates __________ energy which is transformed into __________ energy that causes the temperature of the water to increase. The water then becomes steam and gives off more _________ energy into the atmosphere.
In this hydroelectric energy system, mechanical energy from the moving water turns the turbine, generating electrical energy. This electrical energy is then transformed into thermal energy, increasing the water's temperature. The water eventually becomes steam and releases more thermal energy into the atmosphere.
Explanation:In this system, mechanical energy from the moving water of the faucet turns the turbine. The mechanical energy of the spinning turbine generates electrical energy which is transformed into thermal energy that causes the temperature of the water to increase. The water then becomes steam and gives off more thermal energy into the atmosphere.
what's the difference between 4k and 1080p?
1080p and 4K represent different screen resolutions. 1080p, or Full HD, has a resolution of 1920x1080 pixels, while 4K, or Ultra HD, has a resolution of 3840x2160 pixels. 4K offers four times as many pixels as 1080p, resulting in sharper, more detailed images.
Explanation:The difference between 4K and 1080p lies primarily in their resolution. 1080p, also known as Full HD, has a resolution of 1920x1080 pixels. It has been the standard for televisions, monitors, and other screens for several years. The 1080 refers to the number of horizontal lines on the screen, while the 'p' stands for progressive scan, which means that every line in each frame is displayed progressively, providing a smooth and detailed image.
On the other hand, 4K resolution, also known as Ultra HD, has a much higher resolution of 3840x2160 pixels. It has four times as many pixels as 1080p, resulting in sharper, more detailed images. The advantage of 4K is particularly noticeable on larger screens and when viewing content that has been filmed or rendered in 4K.
Learn more about Screen Resolution here:https://brainly.com/question/14810971
#SPJ12
Jenny takes a piece of paper and dips it in a bowl of water. The paper is now damp and mushy. Which of the following is/are true about the change that occurs when the paper gets wet?
The answer is Physical change
Which object provides an inertial frame of reference? which object provides an inertial frame of reference? the tip of the moving second hand of a clock a rock thrown vertically upward a pendulum swinging with no air resistance a skydiver falling at terminal velocity?
The object that provides an inertial frame of reference is the skydiver falling at terminal velocity, as it is a scenario where the object moves at constant velocity with no net external force acting upon it.
Explanation:An inertial frame of reference is defined as a reference frame in which an object either remains at rest or moves at a constant velocity, provided no external forces are acting upon it. Among the options given, the skydiver falling at terminal velocity provides an inertial frame of reference. Terminal velocity is a constant speed reached by an object when the drag force from the air resistance is equal to the force of gravity, causing no net force on the skydiver and thus no acceleration. The other objects are either accelerating or experiencing changing velocities which disqualify them as inertial reference frames.
Suspend a heavy weight by two pieces of rope. Tension is greatest when the ropes
A.) are vertical
B.) make a small angle to the vertical
C.) make a large angle to the vertical
D.) are in any position, as they each share half the weight
The tension in ropes supporting a weight is greatest when the ropes make a large angle to the vertical. The tension increases as the angle increases from the vertical, as the tension required to maintain equilibrium and support the weight increases.
Explanation:The tension in a rope supporting a weight is greatest when the ropes make a large angle to the vertical (option C). This is due to the nature of the equation for tension, which involves both the weight being supported and the angle at which the rope(s) are positioned. As the angle increases, the vertical component of the tension decreases, which means the tension in the rope must increase to maintain equilibrium. Let's look at an example: if a 10kg weight is being supported by two ropes, each at an angle of 60 degrees to the vertical, the tension in each rope will be greater than if the ropes were vertical (0 degrees) as the vertical component of the tension needs to equal the weight to remain in equilibrium.
Learn more about Tension in Ropes here:https://brainly.com/question/30794023
#SPJ11
plsss help
A force of 50 N is used to move a footstool 3 M. How much work is done?
A- 122J
B-53J
C- 16.7J
D- 150J
A force of 50 N is used to move a footstool 3 M. amount of work done is 150 joules.
What is work?Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. In its simplest form, it equals the product of the force's magnitude and the distance traveled for a constant force directed in the direction of motion.
Given in the question a force of 50 N is used to move a footstool 3 M then,
Work = force x distance. In units, Joules = Newtons x meters.
So: Work = 50 Newtons x 3 meters
Work = 150 joules.
you should learn to identify these values using their fundamental units:
Force = Newtons = Kg·m/s²
Work = joules = kg·m²/s²
Power = watts = kg·m²/s³
A force of 50 N is used to move a footstool 3 M. amount of work done is 150 joules.
To learn more about work refer to the link:
brainly.com/question/18094932
#SPJ5
At full power, how long would it take for the car to accelerate from 0 to 58.0 mph ? neglect friction and air resistance.
For the given problem, we calculate the required time by using the formula P = W/t.
P = [(1/2)mv_f^2 – (1/2)mv_i^2]/ t
The car accelerates from 0 -58 mph, so the power engine will be
P = (1/2) x m x 58^2 / t = 1682 m / t
According to the problem, the engine produces full power so the time required can be calculated as
420.5 m / 1.40 = 1682 m / t
t = 5.6 seconds
Ice does not need to melt into liquid water before it can return to the atmosphere as water vapor.
Which of the following is not a simple machine?
A. inclined plane
B. a screw
C. a bike
D. a lever
Imagine that you pushed a box, applying a force of 60 newtons, over a distance of 4 meters. how much would you have done? 15 joules 56 joules 64 joules 240 joules
work=force X distance
Newtons is a measurement of force
4 meters is your distance 60×4=240
240 joules
How much longer does it take to inflate a balloon to a diameter of 28 inches instead of a diameter of 7 inches. assume the rate that air enters is constant?
What word doesn't belong: planet, galaxy, sun, moon?
Galaxy is "all-encompassing" of the other words given so it doesn't belong.
What is galaxy?A galaxy is a collection of stars, stellar remnants, interstellar gas, dust, and dark matter that is gravitationally bound. The name comes from the Greek word galaxias, which translates to mean "milky" and refers to the Milky Way galaxy, which houses the Solar System.
Given in the question word doesn't belong: planet, galaxy, sun, moon
So, we can see "galaxy" is "all-encompassing" of the other words given, so it does not belong.
Galaxy is "all-encompassing" of the other words given so it doesn't belong.
To learn more about galaxy refer to the link:
brainly.com/question/24836631
#SPJ5
A capacitor is charged to a potential difference of 12v it delivers 40% of its stored energy to a lamp what is the final potential difference across the capacitor
The final potential difference across the capacitor after delivering 40% of its stored energy to a lamp is approximately 9.49V.
Explanation:The question asked is related to the energy stored in a capacitor and its link to the potential difference across it. The energy stored in a capacitor is given by the relation Uc = CV²/2, where C is the capacitance and V is the potential difference. When a capacitor delivers 40% of its stored energy to a lamp, this means a reduction in the stored energy and therefore a corresponding reduction in potential difference as well.
As the stored energy is directly proportional to the square of the potential difference, if the energy reduces to 60% (after delivering 40%), the final potential difference will be the square root of this fraction (sqrt(0.6)) times the initial potential difference. The final potential difference across the capacitor will therefore be sqrt(0.6) * 12V, which is approximately 9.49V.
Learn more about Potential difference here:https://brainly.com/question/23716417
#SPJ11
A heavy crate applies of 1500 N on a 25-m^2 piston . The smaller piston is 1/30 the size of the larger one . what force is needed to lif the crate
Answer:
The force needed to lift the crate is 50 N
Explanation:
[tex]P_{1} = \frac{F_{1}}{A_{1}} = \frac{1500N}{25 m^{2} } \\P_{1}= P_{2} \\P_{2} = \frac{F_{2}}{A_{2}}\\A_{2} = 25*\frac{1}{30} \\\frac{1500N}{25 m^{2} } =\frac{F_{2} }{\frac{25}{30}m^{2} }\\ F_{2}* 25 m^{2} = 1500 N *\frac{25}{30}m^{2}\\ F_{2}= \frac{1250 N*m^{2}}{25 m^{2}}\\ F_{2}= 50 N[/tex]
Final answer:
To calculate the force needed to lift the crate, we can use Pascal's principle. The force needed to lift the crate is 50 N.
Explanation:
To calculate the force needed to lift the crate, we can use Pascal's principle. According to Pascal's principle, the pressure exerted on a fluid in a closed container is transmitted equally in all directions. In this case, the force applied by the heavy crate on the larger piston is 1500 N, and the smaller piston is 1/30 the size of the larger one. Therefore, the force needed to lift the crate can be calculated using the equation:
(Force on larger piston) / (Area of larger piston) = (Force needed to lift crate) / (Area of smaller piston)
Let's substitute the given values into the equation:
(1500 N) / (25 m^2) = (Force needed to lift crate) / (1/30 * 25 m^2)
Simplifying the equation, we find that the force needed to lift the crate is 50 N.
The ideal mechanical advantage of an inclined plane is 3.5, and its efficiency is 0.6. What is the mechanical advantage of the inclined plane?
The ideal mechanical advantage of an inclined plane is 3.5, and its efficiency is 0.6. The mechanical advantage of the inclined plane is 2.1.
What is efficiency?Efficiency may be represented as a ratio: output input. The total amount of beneficial work accomplished, excluding waste and spoilage, is known as output or work output. Efficiency can also be expressed as a percentage by dividing the ratio by 100.
The force amplified by utilizing a tool, mechanical device, or machine system is known as mechanical advantage. To achieve the necessary output force amplification, the gadget trades off input forces against movement. The law of the lever serves as a paradigm for this.
Mechanical advantage = ideal mechanical advantage x efficiency = 3.5 * 0.6= 2.1.
The mechanical advantage of the inclined plane is 2.1.
To learn more about efficiency refer to the link:
brainly.com/question/14502027
#SPJ2
Calculate the energy in electron volts of X-rays that have a frequency of 3.00 × 1016 Hz.
A) 120 eV
B) 124 eV
C) 366 eV
To calculate the energy of X-rays with a frequency of 3.00 × 10^16 Hz, use Planck's equation to find it to be approximately 124 eV.
The energy of X-rays with a frequency of 3.00 × 10^16 Hz can be calculated using Planck's equation:
E = hf
Given h (Planck's constant) = 6.626 × 10^-34 J-s and f (frequency) = 3.00 × 10^16 Hz, you can calculate the energy:
E = (6.626 × 10^-34 J-s) × (3.00 × 10^16/s) = 1.99 × 10^-17 Joules. Convert this to electron volts by dividing by the charge of an electron:
1 eV = 1.602 × 10^-19 Joules, so:
1.99 × 10^-17 J ÷ (1.602 × 10^-19 J/eV) ≈ 124 eV
Therefore, the correct answer is B) 124 eV.
Write a hypothesis about the effects of magnetic and electric fields. Use the format of "if . . . then . . . because . . ." and be sure to answer the lesson question: "How can magnetic and electric fields be demonstrated?"
Please help!
too late but Sample Response: If a magnetic or electric field is present, materials that generate these fields will interact by attracting or repelling each other because of their magnetic or electric properties.
The magnetic field and electric field can be demonstrated as: If a charge or magnet creates magnetic or electric field, then any other object in their field will interact by attracting or repelling each other because of their magnetic or electric properties and intensity.
What is magnetic or electric field?The imaginary region of space where an object experiences magnetic or electric force respectively.
The electric field is created by the charged particle while the magnetic field is created by the magnet.
Thus, The magnetic field and electric field can be demonstrated as: If a charge or magnet creates magnetic or electric field, then any other object in their field will interact by attracting or repelling each other because of their magnetic or electric properties and intensity.
Learn more about magnetic or electric field.
https://brainly.com/question/12324569
SPJ2
You raise a bucket of water from the bottom of a deep well. if your power output is 100 w, and the mass of the bucket and the water in it is 3.50 kg, with what speed can you raise the bucket? ignore the weight of the rope.
The approximate speed at which the bucket can be raised is 2.91 m/s.
To calculate the speed at which you can raise the bucket, we need to use the equation for power:
Power = Force x Velocity
In this case, the power output is 100 W and the mass of the bucket and water is 3.50 kg. Since the weight of the rope is ignored, we only consider the force required to lift the bucket. The force can be calculated using the equation:
Force = mass x acceleration due to gravitySubstituting the values, we have:
Force = 3.50 kg x 9.8 m/s^2 = 34.3 NNow, we can rearrange the equation for power to solve for velocity:
Velocity = Power / ForceSubstituting the values, we have:
Velocity = 100 W / 34.3 N = 2.91 m/sTherefore, you can raise the bucket at a speed of approximately 2.91 m/s.
Force per unit area defines which of the following?
gravity
pressure
force
temperature
The Answer is Pressure hope it helps
If you have a soccer field with a length of 25 yards and a width of 50 yards what is the area?
Answer:
1250 SQUARE YARDS
Explanation:
The area of the soccer field given the data from the question is 1250 yard²
Area of rectangleArea = Length × Width
How to determine the area of the rectangleLength = 50 yardWidth = 25 yard Area =?Area = Length × Width
Area = 50 × 25
Area = 1250 yard²
Learn more about area of rectangle:
https://brainly.com/question/20693059
#SPJ6
What is the energy of a wavelength of light of 550 nm?
Final answer:
The energy of a wavelength of light of 550 nm is 3.03 x 10^-19 Joules.
Explanation:
The energy of a wavelength of light can be calculated using the equation E = hc/λ, where E is the energy, h is Planck's constant (6.626 x 10^-34 J.s), c is the speed of light (3 x 10^8 m/s), and λ is the wavelength. In this case, the wavelength of light is 550 nm (or 550 x 10^-9 m). Plugging in these values into the equation, we get:
E = (6.626 x 10^-34 J.s) x (3 x 10^8 m/s) / (550 x 10^-9 m) = 3.03 x 10^-19 J
Therefore, the energy of a wavelength of light of 550 nm is 3.03 x 10^-19 Joules.
A 5.00X10^5 kg rocket is accelerating straight up. Its engines produce 1.250X10^7 N of thrust, and air resistance is 4.50X10^6 N. What is the rockets acceleration?
To determine the rocket's acceleration, subtract the air resistance from the thrust and divide by the mass of the rocket.
Explanation:To determine the rocket's acceleration, we need to calculate the net force acting on the rocket by subtracting the air resistance from the thrust.
The net force is equal to the mass of the rocket multiplied by its acceleration. Rearranging the equation, we can solve for acceleration: acceleration = (net force) / (mass). In this case, the net force is given as the thrust minus the air resistance, so the acceleration would be (1.250X10^7 N - 4.50X10^6 N) / (5.00X10^5 kg).
Simplifying the expression, the acceleration is approximately 17.6 m/s².
Learn more about rocket acceleration here:https://brainly.com/question/39037920
#SPJ12
What change in pressure occurs in a party balloon that is squeezed to one-half its volume with no change in temperature?
When a party balloon is squeezed to half of its initial volume with no change in temperature, the pressure inside the balloon doubles due to Boyle's Law, which states that pressure is inversely proportional to volume for an ideal gas.
Explanation:The question pertains to the relationship between volume and pressure of a gas when the temperature is held constant. According to Boyle's Law, the pressure of a gas is inversely proportional to its volume when temperature remains unchanged. If a party balloon is squeezed to one-half its original volume with no change in temperature, the pressure inside the balloon will double.
For example, if the initial pressure inside the balloon (P1) was 1.00 atmosphere and the balloon was squeezed to half of its initial volume (V2 = 0.5V1), the new pressure (P2) would be 2.00 atmospheres, assuming the temperature remains steady and there are no leaks. This concept is a fundamental principle in the study of ideal gases.
Difference between contrition and compunction
Contrition refers to sincere remorse for sins out of love for God, essential for forgiveness, while compunction is a sense of guilt or regret that may not be rooted in religious belief. The distinction between contrition and less perfect sorrow (attrition) has significant implications in the context of penance and making amends.
The concepts of contrition and compunction are often discussed in religious contexts, particularly within the Christian tradition involving the practice of penance and reconciliation. Contrition refers to heartfelt remorse for sins committed out of a love for God and a desire to change one's life. It has traditionally been seen as a deep and sincere form of penitence necessary for forgiveness in the eyes of God. In contrast, compunction is a feeling of unease or anxiety caused by guilt or regret for doing wrong or harming others, which may not necessarily be motivated by love for God but could arise out of fear of punishment or a desire to avoid negative consequences.
Throughout the Middle Ages, theologians made a distinction between contrition and a less perfect form of sorrow known as attrition, which could be transformed into contrition through the sacrament of penance. Moreover, a willingness to make amends is closely tied to feelings of remorse and sympathy, and is essential for a genuine apology or act of penance, indicating a person's desire to right their wrongs and align themselves with moral and divine expectations.
Amil takes a car trip through the mountains. He drives 25 miles in 30 minutes to get to an outlook. What is the average speed, in meters per second rounded to the nearest hundredth, of Amil's trip to the outlook, if 1 mile is equal to 1609 meters?
To find the average speed of Amil's trip to the outlook, we convert the distance and time units and use the formula Average Speed = Distance / Time. The average speed of Amil's trip is 22.35 meters per second (rounded to the nearest hundredth).
Explanation:To find the average speed of Amil's trip, we can use the formula:
Average Speed = Distance / Time
Amil drove 25 miles in 30 minutes to get to the outlook. To convert the distance from miles to meters, we use the conversion factor: 1 mile = 1609 meters. So, 25 miles is equal to 25 x 1609 = 40225 meters. To convert the time from minutes to seconds, we multiply 30 minutes by 60 to get 1800 seconds. Now we can calculate the average speed:
Average Speed = 40225 meters / 1800 seconds
Average Speed = 22.35 meters per second (rounded to the nearest hundredth).
What is the momentum of an 8.8-kg bowling ball rolling at 3.0 m/s ?
Final answer:
The momentum of an 8.8-kg bowling ball rolling at 3.0 m/s is calculated using the formula p=mv, resulting in a momentum of 26.4 kg·m/s.
Explanation:
The momentum of an object can be calculated by multiplying the object's mass by its velocity. This is expressed by the equation p = mv, where p is the momentum, m is the mass, and v is the velocity.
In the case of the 8.8-kg bowling ball rolling at 3.0 m/s, the momentum can be calculated as follows:
Momentum (p) = Mass (m) × Velocity (v)
p = 8.8 kg × 3.0 m/s
p = 26.4 kg·m/s
Therefore, the momentum of the 8.8-kg bowling ball rolling at 3.0 m/s is 26.4 kg·m/s.
The wavelength of some green light is 530.0 nm. what is the frequency of this green light?
Answer:
The answer to this question is 5.66 x (10^14) Hz
Explanation: Recall that the frequency of a light wave is the speed of light divided by the wavelength in meters.
You are given the wavelength of the light in nanometers, but the denominator of the formula is in meters. In this case, multiply 530.0 nm by 10^-9 m, resulting 5.3 * (10^-7) m.
After the conversion, divide the speed of light which is 3.0 x (10^8) m/s by the wavelength in meters. The final answer should be 5.66 x (10^14) Hz.
**Depending on the usage of significant figures, you may have to round to the nearest specified decimal value or truncate it at the nearest specified place value.**
When drawing the best line of fit on a graph for physics, do I draw the line starting from the x-axis?
Answer:
It would be best to start as close to the first point of your line on the Y-axis.
(Sorry if that doesn't make much sense, I tried to word it as best as I could. Basically, just start your line on the Y-axis closest to your starting point of the line.)
Explanation:
When a star leaves the main sequence and expands toward the red giant region, what is happening inside the star?