Answer:
The force applied on the string is 0.25 N and the Young's modulus of the string is 10 N/m
Explanation:
The force applied on the string can be calculated using the equation:
Force = (change in length * Young's modulus) / original length
The Young's modulus of the string can be calculated using the equation:
Young's modulus = (Force * original length) / change in length
Plugging in the given values:
Force = (2.5 cm * Young's modulus) / 2 m
= (0.025 m * Young's modulus) / 2 m
= 0.025 * Young's modulus
= 0.25 (given)
= 0.25 N
Young's modulus = (0.25 N * 2 m) / 0.025 m
= 10 N/m
the purpose of high voltage direct current transmission lines to decrease the number of conductors needed for transmission of power in a grid system.
Capacitance is a direct issue with alternating current. The amount of power that may be sent across a line and the minimum distance between lines are both constrained by capacitance between parallel lines.
What does voltage mean, exactly?When charged electrons (current) are forced through a conducting loop by the pressure of an electrical circuit's power source, they may perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).
What does voltage mean in kid-friendly terms?The difference in electrical energy between two circuit components is known as voltage. It is measured in volts and is measurable with a voltmeter. The current increases as the voltage grows. Higher electrical voltage and current are required for large electrical appliances.
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6. The work done in pushing a 40 kg chair from the kitchen table to 10 meters down the
hall would be about_
,neglecting friction.
A. 40J
B. 4000J
C. OJ
D. 0.25J
Answer:
B
Explanation:
W = f * d
= mg * d
= 40(9.81)(10) =~4000 J
how much work is done when a mass of 3kg (weighing 30N) is lifted vertically through 6m?
Answer:
180 J is the answer to how much work is done when a mass of 3kg is lifted vertically through 6 m
To calculate the amount of work done when a mass is lifted vertically through a certain distance, we can use the formula:
Work = Force * Distance
In this case, the mass is 3kg, which weighs 30N, and it is lifted vertically through a distance of 6m. Plugging these values into the formula, we get:
Work = 30N * 6m
= 180 Joules
Therefore, the amount of work done when the mass is lifted vertically through 6m is 180 Joules.
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Suppose that you would like to study star A all year round. Its declination is 25 degrees above the celestial equator. At which of the following locations on Earth could you be to observe this star all year round?
(a) at a latitude of 67 degrees N
(b) only at the South Pole
(c) at a latitude of 63 degrees N
(d) at a latitude of 25 degrees N
The declination is also known as latitude hence, star A is at a latitude of 25 degrees N from the earth so, option D is correct.
What is the equator?A hypothetical line that would make a large circle around the Earth's surface, equidistant from the poles and on a plane perpendicular to the axis of rotation of the planet, is known as an equator. It establishes the boundary between the Northern and Southern hemispheres of the Earth and serves as the standard for measuring latitude.
Considering that, star A's declination is 25 degrees above the celestial equator. The star is located at a latitude of 25 degrees to the North because the declination is also known as the latitude. Therefore, the observer must be (d) located at a latitude of 25 degrees N in order to examine the star all year long.
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A 9.0-kg box of oranges slides from rest down a frictionless incline from a height of 5.0 m. A constant frictional force, caused by friction with the surface from point A to point B, brings the block to rest at point B, 19 m from point A. What is the coefficient of kinetic friction between A and B?
The gravitational potential energy at the point the box begins must be equal to the kinetic energy at position A and this energy must have been "used up" by friction by the time the box gets to B. So letâs compare the energy at the starting position to that at B (which is zero). There is no reason to include point A.
When a 9.0-kg box of oranges slides from rest down a frictionless incline from a height of 5.0 m with a frictional force then the coefficient of kinetic friction between A and B is 9.9m/s.
What is kinetic friction?The frictional force acting between two moving objects is termed as Kinetic friction.
Solution:
Given:
Let v represent the speed of the box at point A, x represent the distance the box slides down the slope (without friction), and represent the angle of the incline.
Remember that v = ultimate speed, therefore v 2 - v02 = 2 an x
beginning speed being
A=acceleration and X=displacement
While moving up the slope, the box begins at rest (v0 = 0) and moves a distance x with an acceleration of a to reach a speed v.
F = m g sin() = m a, where m = 9.0 kg and g = 9.8 m/s2, and a = g sin().
Using a little trigonometry, write the distance x in terms of :
x = (5.0 m) / sin(x), where sin(x) = (5.0 m)
To find:v, enter the following into the formula above:
= 2 g sin(5.0 m) / sin(5.0 m)
10.0 m) g v
= 9.9 m/s
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A baseball player uses a pitching machine to help him improve his batting average. He places the 73.9 kg machine on a frozen pond. The machine fires a 0.118 kg baseball horizon-
tally at a speed of 40.8 m/s. What is the magnitude of the recoil velocity
of the machine?
Answer in units of m/s.
According to the law of conservation of momentum, the magnitude of the recoil velocity of the machine is equal to the magnitude of the initial velocity of the baseball, since the total momentum of the system (the machine and the baseball) remains constant. In this case, the magnitude of the initial velocity of the baseball is 40.8 m/s, so the magnitude of the recoil velocity of the machine is also 40.8 m/s. Answer: \boxed{40.8}.
The terminals of a battery are connected across two resistors in parallel. The resistances of the resistors are not the same. Which of the following statements is correct? Choose all that are correct. The potential difference is greater across the resistor closer to the battery. The resistor with the larger resistance carries less current than the other resistor. The resistor with the larger resistance carries more current than the other resistor. The potential difference across the larger resistor is greater than the potential difference across the smaller resistor. The potential difference across each resistor is the same.
Answer:
1) the potential difference is the same for both resistors
2) the larger resistor must carry less current because of (1)
3) the potential difference is the same for both resistors - given (everything depends on this fact)
determine the moment with the following data: weight (lb) mom/1000 empty weight 1,350 51.5 pilot and front passenger 340 --- fuel (std tanks) capacity --- oil, 8 qt. --- ---
Currently, the information is as follows: weight (lb) (lb) mother/1000 empty weight 74.9 pound-inches.
Describe a weight example.In the International System of Units (SI), the newton is used as the unit of measurement for force, which is used to quantify weight. On the surface of the Earth, a one kilogram object weighs around 9.8 newtons, but the weight of the same thing on the Moon is only about one-sixth as great.
The definition of weight in physicsAll things near Earth are constantly under the influence of weight. All things are subject to the gravitational attraction of the Earth, which pushes them all toward its core.
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If a football quarterback runs into and tackles another player by grabbing onto them, what type of collision would this technically be?
a. Elastic
b. Inelastic
Which of the following would be an example of a closed system?
a. A person pushing a refrigerator box across a rough floor
b. A water bucket being pulled up by rope from a well
c. A rolling oil drum across a smooth, frictionless marble floor
d. A large moving rock slowing down while ploughing through loose sand
''If a football quarterback runs into and tackles another player by grabbing onto them'' is Elastic collision. A closed system is a rolling oil drum across a smooth, frictionless marble floor.
What is meant by Elastic collision?A collision between two bodies in physics is referred to as an elastic collision if their combined kinetic energy stays constant. There is no net conversion of kinetic energy into other forms, such as heat, noise, or potential energy, in an ideal, fully elastic collision.When two small objects collide, the kinetic energy of the collision is first transformed into the potential energy of an attractive or repulsive force between the particles. (when the particles move against this force, that is, when the angle between the force and the relative velocity is acute), and then this potential energy is transformed back into the kinetic energy of the collision (when the particles move with this force, i.e. the angle between the force and the relative velocity is acute).Learn more about Elastic collision refer to :
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5. Which of the following is true about the Wechsler tests?
O
The Wechsler tests use a number of subtests to measure both verbal and nonverbal intelligence.
The Wechsler tests use a number of subtests to measure emotional intelligence.
The Wechsler tests use a number of subtests to measure eight different types of intelligence.
The Weschler tests can prove a test taker is a savant.
Answer:
One true statement about the Wechsler tests is that they use a number of subtests to measure both verbal and nonverbal intelligence. The Wechsler Adult Intelligence Scale (WAIS) and the Wechsler Intelligence Scale for Children (WISC) are among the most commonly used intelligence tests in the world. These tests are designed to assess an individual's cognitive abilities, including their ability to think abstractly, solve problems, and understand and use language. The tests use a variety of subtests to measure different aspects of intelligence, including verbal comprehension, perceptual reasoning, working memory, and processing speed. These subtests are combined to produce a full-scale IQ score, which provides an overall measure of an individual's cognitive ability.
Consider the AC circuit in the figure. The frequency of the AC source is adjusted while its voltage amplitude is held constant. The lightbulb will glow the brightest at which of the following?
A.high frequencies
B.the brightness will be the same at all frequencies
C.low frequencies
When the leg it is in has the least resistance, the lightbulb may glow brightest. Because inductive capacitance is inversely proportional to angular frequency, this occurs at low frequencies.
What generates opposition?Electrons moving through a conductors, for example a metal wire, create an electric current. The ions inside the metal may be struck by the speeding electrons. Resistance results this from, making it harder for the current to flow.
A resistance example is what?To better understand resistance, imagine how difficult it would be for a person to move from one shop to the next in a crowded market. This circumstance is undoubtedly comparable to an atom trying to get through a wire.
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An object with a mass of 9.0kg has an acceleration of 3m/s the force acting on it is 3n
True or false?
Answer:
False
Explanation:
This can be proved through the simple force formula, [tex]\displaystyle{\sum \vec F = m\vec a }[/tex]. [tex]\displaystyle{\sum \vec F}[/tex] stands for net force, m is mass and [tex]\displaystyle{\vec a}[/tex] is acceleration.
As you see, force is equal to mass times acceleration. If we substitute mass = 9.0 kg and acceleration = 3 m/s² then we will have:
[tex]\displaystyle{\sum \vec F = 9.0 \, \text{kg} \, \times \, 3 \, \text{m/s}^2}[/tex]
This will result:
[tex]\displaystyle{\sum \vec F = 27 \, \text{kg}\cdot \text{m/s}^2}\\\\\displaystyle{\sum \vec F = 27\, N}[/tex]
Therefore, the force acting on the object should equal 27 N, not 3 N.
A 10 kg rock falls from a height of 18 m and
lands on a guy about 3 s later. How much power
did it hit him with?
It struck him with 60 W of power. when a 10 kg rock hits a guy after falling from a height of 18 m and landing on him after around 3 s.
What does the word "power" mean?Power is the rate of production of work. P=Wt. The watt (W), which is equal to 1 joule per second (1J/s), is the SI unit for power. Power is a measure of how quickly energy is used up since power is the transfer of energy. An example would be a 60-W light bulb, which uses 60 J of energy every second.
Power= mass. velocity + power=10*18/3*10 = 60 W,
resulting in the power of a falling rock being 60W.
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a motor is most powerful, when the: group of answer choices the workload is longer the workload is shorter time interval for the work is shorter.
The key idea is that time and power are inversely related to each other for a given quantity of work. A more powerful engine should be able to complete the same amount of work faster, according to the power equation.
Which of the following best describes how quickly work is completed?
The rate of doing work is known as power. It is the same as the amount of energy used up in a given amount of time. The joule per second (J/s), or SI system, is the unit of power.
Is negative work even possible?Work may be positive or negative; if it has a component in the same direction as the object's displacement, it is positive work.
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A neutron in a reactor makes an elastic head-on collision with the nucleus of an atom initially at rest.
Assume: The mass of the atomic nucleus is
about 12.4 the mass of the neutron.
What fraction of the neutron’s kinetic energy is transferred to the atomic nucleus?
If the initial kinetic energy of the neutron is
5.53 × 10−13 J, find its final kinetic energy.
Answer in units of J.
(a) The fraction of neutron's kinetic energy transferred to the atomic nucleus is 0.08.
(b) The final kinetic energy of the neutron is 5.08 x 10⁻¹³ J.
What is the final velocity of the atom?The final velocity of the atom is calculated by applying the principle of conservation of linear momentum as follows;
initial momentum of the neutron = final momentum of the atomic nucleus
m₁u₁ = m₂u₂
where;
m₁ is the mass of the neutronu₁ is the initial velocity of the neutronm₂ is the mass of the atomic nucleus u₂ is the final velocity of the atomic nucleusThe mass of the atomic nucleus = 12.4 m₁
u₂ = m₁u₁ / m₂
u₂ = m₁u₁ / (12.4 m₁)
u₂ = 0.08u₁
The initial kinetic energy of the neutron is calculated as;
K.Ei = ¹/₂m₁u₁²
The final kinetic energy of the atomic nucleus is calculated as;
K.Ef = ¹/₂m₂u₂²
K.Ef = ¹/₂(12.4 m₁)(0.08u₁)²
K.Ef = 0.08 (¹/₂m₁u₁²)
K.Ef = 0.08 (K.Ei)
The fraction of neutron's kinetic energy transferred to the atomic nucleus is calculated as;
= 0.08 (K.Ei) / K.Ei
= 0.08
= 8 %
The final kinetic energy of the neutron is calculated as follows;
K.E.f (neutron) = (1 - 0.08) x (5.53 x 10⁻¹³ J)
K.E.f (neutron) = 5.08 x 10⁻¹³ J
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During the launch from a board, a diver's angular speed about her center of mass changes from zero to 6.60 rad/s in 250 ms. Her rotational inertia about her center of mass is 12.0 kg·m2.
(a) During the launch, what was the magnitude of her average angular acceleration?
rad/s2
(b) During the launch, what was the magnitude of the average external torque on her from the board?
N·m
Her average rotational acceleration is equal to the board's average external torque over her, which is Nm234.16 Nm, or 28.18 rad/s.
Simple definition of angular acceleration.An object rotating experiences a change of angular velocity per unit of time, which is quantified as angular acceleration (also known as rotational acceleration). It is a vector quantity that has two strongly outlined directions or senses and a magnitude component.
Given: Initial angular speed w, = 0 rad; Initial and final angular speeds cf, = 6–20 rad/s lime
Rotational inerlia I (= 12 leg m° at time t = 220 x163 5 Rotational angulas acceleration wU = wo tat 6.20 = 0 + xx 220 x103 6.20 = = 0.02918 x10 220 x103 a = 28.18 rad/s -> Quality varies torque N= IX 12x28.18 234.16 Nm
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In Chapter 9 we will define the center of mass of an object and prove that its motion is described by the particle under constant acceleration model when constant forces act on the object. A gymnast jumps straight up, with her center of mass moving at 2.80 m/s as she leaves the ground. How high above this point is her center of mass (a) 0.100 s , (b) 0.200 s (c) 0.300 s, and (d) 0.500 s thereafter?
A position established in relation to an object or set of objects is the center of mass. It represents the system's average location as weighted by each component's mass.
The center of mass for straightforward stiff objects with homogeneous density is found at the centroid. The location where the distribution of mass is constant in all directions called the center of mass.
speed of the gymnast = 2.80 m/s
using the second equation of motion,
s = u t + 1/2 a t ^2
the position at time, t = 0.100 sec
s = (2.80) (0.100) + 1/2 (-9.8 m/s^2) (0.100)^2
s = 0.231 m.
the position at time, t = 0.200 sec
s = 0.364 m.
the position at time, t = 0.300 sec
s = 0.399 m.
the position at time, t = 0.500 sec
s = 0.175 m.
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for d, you will want to mention a specific term/concept that you're describing for why mrp is downward sloping.
Inside this services and products (G&S) financial instrument, the DD curve depicts the link between variations through one exogenous construct and one regressor.
What is a MRP?The marginal revenue generated by using one more unit of a product is known as the marginal product of labor (MRP). MRP is used to calculate the ideal resource level while also making crucial decisions about the company's output. The MRP makes the assumption that expenses for other components won't change.
With increased production, a commodity's marginal usefulness decreases. As a result, when there is a greater supply, prices would decrease and demand will rise. Therefore, when the price is lower, consumers would desire fewer things. The aggregate supply slopes downward for this reason.
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what is the wavelength of the longest wavelength standing wave pattern that can fit on this guitar string? express your answer in centimeters. view available hint(s)
Therefore, only half of the wave fits since it is evenly divided and a whole crest fits on the string; the longest wavelength standing-wave pattern which can fit on this guitar has a wavelength of 1 = 120 cm.
What do wavelengths and frequencies refer to?The distance of two wave crests is known as the wavelength, and it also applies to troughs. The amount of vibrations that travel across a certain area in one second is measured in cycles each second, or frequency.
How is wavelength determined?The wavelength is calculated by calculating the distance between two identical positions on adjacent waves. The distance of one compressive to the next or from one conformational to the subsequent is measured in order to calculate the wavelength of such a longitudinal wave.
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An object is hung from a spring balance attached to the ceiling of an elevator cab. The balance reads 40 N when the elevator is standing still.
(a) What is the reading when the elevator is moving upward with a constant speed of 9.0 m/s?
1 N
(b) What is the reading when the elevator is moving upward with a speed of 9.0 m/s while decelerating at a rate of 1.1 m/s2?
2 N
(a) The reading when the elevator is moving upward with a constant speed of 9.0 m/s is 40 N.
(b) The reading when the elevator is moving upward with a speed of 9.0 m/s while decelerating at a rate of 1.1 m/s² is 35.11 N.
What is acceleration?
The rate of change in an object's velocity with respect to time is known as acceleration in mechanics. In vector quantities, accelerations exist (in that they have magnitude and direction).
The direction of the net force that is acting on an object determines its acceleration.
According to the given question:
Balance force ( W ) = 40 N
a) moving upward with constant velocity (V ) = 9 m/s.
The reading will not change since it is moving with constant velocity
W = 40 N
b) Moving upward with V = 9 m/s and decelerating at the rate of
(a ) = 1.1 m /s²
The net force ( F ) = W - ma
where m = W/g = 40/9 = 4.45 kg
F = 40 - 4.45 * 1.1 = 35.11 N
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An experimental power plant at the Natural Energy Laboratory of Hawaii generates electricity from the temperature gradient of the ocean. The surface and deep-water temperatures are 28 ∘C and 5 ∘C, respectively.
The maximum theoretical efficiency of this power plant is 7.9
What is a power plant?A power plant , also referred to as a generating station or generating plant, is described as an industrial facility for the generation of electric power. Power plants are generally connected to an electrical grid.
The cold temperature =
5°C = 278K
Hot temperature =
28 ° = 273 + 28 K
28° = 303 K
n(efficiency) = 1- Tc/ Th
n(efficiency) = 1- 278/301
n(efficiency) = 1- 0.9175
(efficiency) = 0.082 x 100
n(efficiency) = 8.2 %
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Complete question =
An experimental power plant at the Natural Energy Laboratory of Hawaii generates electricity from the temperature gradient of the ocean. The surface and deep-water temperatures are 28 ∘C and 5 ∘C, respectively. What is the maximum theoretical efficiency of this power plant?
A 3.20 kg fish is attached to the lower end of a vertical spring that has negligible mass and force constant 850 N/m . The spring initially is neither stretched nor compressed. The fish is released from rest.What is its speed after it has descended 0.0490 m from its initial position?
The speed of the spring from its initial position is 0.8 m/s.
What is the speed of the spring?
The speed of the spring after it descended from the given position is calculated by applying the principle of conservation of energy.
K.E = U
¹/₂mv² = ¹/₂kx²
mv² = kx²
v² = kx² / m
v = √ ( kx² / m )
where;
k is the spring constantx is the extension of the springm is the mass of the fishThe speed of the spring after descending the given distance is calculated as;
v = √ ( 850 x 0.049² / 3.2 )
v = 0.8 m/s
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Two protons (charge q = 1.602·10-19 C) move at the same speed v= 1.6 ·105 m/s in opposite directions parallel to the x-axis. At the instant when they are at the same x-position, the proton moving in the negative direction is at distance r= 0.7 m in the positive y-direction with respect to the one moving in the positive direction. What is the magnetic field direction at the point of the proton moving in the negative direction? What is the magnetic force direction experienced by the proton moving in the negative direction?
The magnitude of the magnetic field at the point of the proton moving in the negative direction is equal to 18.39 × 10⁻¹⁵ T.
The magnetic force direction that is experienced by the proton moving in the negative direction is equal to 4.71 x 10⁻²⁸ N.
What is the magnetic field due to proton?The magnitude of the magnetic field at distance 'r' at the point of the proton moving in the negative direction is determined as follows;
F = qvB = (kq²)/r²
qvB = kq²/r²
B = kq/vr²
where, k is the coulomb's constant, r is the distance between the protons, q is the magnitude of the charge of the protons, and v is the speed of the proton.
Given the charge n the proton, q = 1.602 x 10⁻¹⁹C
The speed of the proton, v = 1.6 x 10⁵ m/s
B = (9 x 10⁹ x 1.602 x 10⁻¹⁹) / (1.6 x 10⁵ m/s x 0.7 x 0.7)
B = 18.39 × 10⁻¹⁵ T
The magnetic force experienced by the proton in the negative direction is calculated as follows;
F = qvB
F = 1.602 x 10⁻¹⁹ x 1.6 x 10⁵ x 18.39 × 10⁻¹⁵ T
F = 47.1 x 10⁻²⁹ N
F = 4.71 x 10⁻²⁸ N
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if beam (1) is the incoming beam in the figure, which of the other four red lines are reflected beams and which are refracted beams? (select all that apply.) reflected beams 2 3 4 5 refracted beams 2 3 4 5
Beams that bounce off a surface and continue to travel through that same medium are said to be reflected. However, because of this The refracted beams are 3, 5, and the reflected beams are 2, 4, and 2.
What other term do you use to describe reflecting?Cogitate, deliberate, reason, conjecture, and think are some typical synonyms of reflect. While each of these phrases means "to utilize one's skills of imagination, judgment, or inference," "reflect" denotes thoughtful deliberation about a memory.
Use reflect in what ways?To contemplate something thoroughly and deeply I must think for a while before making a choice. Think about or consider something She was given some alone time to consider the effects of her choice. show that... The interview had gone well, he thought as he was driving home.
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PLEASE HELP ME ANSWER THE PHYSICS QUESTIONS ON MY PROFILE!!! i will give brainliest to the first to answer!!! this one and the other ones
A 2500 kg train car moving at 20 m/s, east collides with a different train car at rest. The cars stick together after the collision and move together at 13 m/s, east. Find the second car’s mass.
options :
A) 245 kg
B) 50000 kg
C) 9.62 kg
D) 1346 kg
In an amusement park water slide, people slide down an essentially frictionless tube. The top of the slide is 3.1 m above the bottom where they exit the slide, moving horizontally, 1.4 m above a swimming pool.
What horizontal distance do they travel from the exit point before hitting the water?
They travel a horizontal distance of 4.17 m from the exit point before hitting the water.
What is the law of conservation of energy?Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another.
height of the slid: h = 3.1 m
horizontal movement above swimming pool: s = 1.4 m
Let the horizonal speed of the people at the end of the water slide= v
Using energy conservation
mgh = 1/2 mv²
v = √(2gh)
Again time taken for falling s = 1.4 m under gravitation:
t = √(2s/g)
Hence, the horizontal distance travelled = speed × time
= √(2gh)×√(2s/g)
= √(4hs)
= √(4 × 3.1 × 1.4)
= 4.17 m.
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A bare helium nucleus has two positive charges and a mass of 6.64 ✕ 10−27 kg.
Answer:
The answer is the question 6.64*10-24=39.4
The mass of earth is 5.97 x 10²⁴kg, the mass of the moon is 7.35 x 10²² kg and the mean distance of the moon from the center of Earth is 3.84 X 10⁵ km. Calculate the magnitude of the gravitational force exerted by earth on the Moon
The magnitude of the gravitational force exerted by earth on the moon will be equal to 1.85 × 10⁵ N.
What is gravity?The fundamental force of attraction operating on all matter is recognized as gravity, also spelled gravity, in mechanics. It has no impact on identifying the interior properties of common matter because it is the weakest force known to exist in nature.
The formation and growth of planets, galaxies, and the universe are all under the influence of this long-range, cosmic force, which further determines the trajectories of objects throughout the universe and the entire universe.
As per the given information in the question,
Mass of earth, M₁ = 5.97 × 10²⁴ kg
Mass of moon, M₂ = 7.35 x 10²² kg
Distance between moon from center of earth, r = 3.84 X 10⁵ km
G = 6.67×10¹¹ Nm² / kg²
Use the formula of force,
F = GM1M2 / r²
F = [(6.67×10¹¹) (5.97 × 10²⁴)(7.35 x 10²²)]/( 3.84 X 10⁵)²
F = 1.85 × 10⁵ N
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The answer to my English subject
Suppose the driver in this example now slams on the brakes, stopping the car in 4.00 s. Find (a) the acceleration and
(b) the distance the car travels while braking, assuming the acceleration is constant.
The initial velocity of the car is 39.6 m/s and the final velocity is zero. Then, the acceleration of the car is - 9.9 m/s². The average distance covered is 158.4 m.
What is acceleration?The acceleration of a moving body is the rate of change in its velocity. Acceleration is a vector quantity and is characterized with a magnitude and direction.
Acceleration is the ratio of change in velocity to the change in time. Here, the initial velocity is 39.6 m/s. The car is stopping , therefore the final velocity is zero.
The time taken to stop is 4 seconds. Hence, the acceleration is :
a = 0 - 39.6 m/s / 4 s
= - 9.9 m/s²
The distance covered within this time is the product of its velocity and time.
Distance = velocity × time = 4 s × 39.6 m/s = 158.4 m
Therefore, the car travels up to a distance of 158.4 m before stops.
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Your question is incomplete. But your complete question probably was:
Suppose a driver is moving with speed 39.6 m/s, and slams on the brakes, stopping the car in 4. s.
the acceleration and
(b) the distance the car travels while braking, assuming the acceleration is constant.