Answer:
2) 242. 100 percent sure.
Explanation:
Which scientific law states the relationship between an object's mass, acceleration, and amount of force acting on it? (3 points)
1. Law of universal gravitation
2. Newton's third law of motion
3. Keplar's law of planetary motion
4. Newton's second law of motion
Answer:
4.Newton's second law of motion
Three 7Ω resistors are connected in series across a 10 V battery. What is the equivalent resistance of the circuit?
ANSWER:
21Ω
STEP-BY-STEP EXPLANATION:
Given:
R1 = R2 = R3 = 7Ω
The resistance in a series circuit has the following equation
\(R_{eq}=R_1+R_2\ldots+R_n\)We replacing in this case:
\(\begin{gathered} R_{eq}=R_1+R_2+R_3 \\ R_{eq}=7+7+7 \\ R_{eq}=21\Omega \end{gathered}\)The equivalent resistance of the circuit is 21Ω
To understand the meaning of the variables that appear in the equations for rotational kinematics with constant angular acceleration. Rotational motion with a constant nonzero acceleration is not uncommon in the world around us. For instance, many machines have spinning parts. When the machine is turned on or off, the spinning parts tend to change the rate of their rotation with virtually constant angular acceleration. Many introductory problems in rotational kinematics involve motion of a particle with constant, nonzero angular acceleration. The kinematic equations for such motion can be written as
Answer:
ω = ω₀ + α t
ω² = ω₀² + 2 α θ
θ = θ₀ + ω₀ t + ½ α t²
Explanation:
Rotational kinematics can be treated as equivalent to linear kinematics, for this change the displacement will change to the angular displacement, the velocity to the angular velocity and the acceleration to the angular relation, that is
x → θ
v → ω
a → α
with these changes the three linear kinematics relations change to
ω = ω₀ + α t
ω² = ω₀² + 2 α θ
θ = θ₀ + ω₀ t + ½ α t²
where it should be clarified that to use these equations the angles must be measured in radians
assignment questions
Answer:
which on a is the question
A student performed an experiment with a metal sphere. The student shot the sphere from a slingshot and measured its maximum height. Six different trials were performed with the sphere being shot at a different angle from the horizontal for each trial. What is the independent variable
The correct answer is Launch angle
Explanation:
The Independent Variable can be easily identified because this is the factor or variable the researcher modifies. In this case, this term applies to the angle because as part of the experiment the student changes the angle multiple times to test how the maximum height changes. Moreover, the maximum height would be the dependent variable as it is the main factor and it changes or depends on other variables including the angle. Thus, it can be concluded the independent variable is the launch angle or the angle from which the ball is launched.
The net external force on a golf cart is 390 N north. If the cart has a total mass of 270 kg.what are the magnitude and direction of its acceleration?
The acceleration of the cart can be expressed as,
\(a=\frac{F}{m}\)Plug in the known values,
\(\begin{gathered} a=\frac{390\text{ N}}{270\text{ kg}}(\frac{1kgm/s^2}{1\text{ N}}) \\ \approx1.44m/s^2 \end{gathered}\)Thus, the magnitude of acceleration is 1.44 m/s^2. Since the force is applied in the north direction, therefore the direction of acceleration is in the north direction.
The gravitational force between two bodies varies inversely as the square of the distance between them. If the force between two bodies is 18 N when the distance between them is 10 km, find the fource between the bodies when the distance between them is 7.5 km.
The statement states that the force between both the bodies at a distance of 7.5 km equals F = 32 N.
What is gravitational force?This force that earth applies to a body is referred to as gravitational force. Its down motion of water in the river, the downwards motion if water in a stream, or an upwards motion of a ball being thrown are examples of motion brought on by gravitational influence.
Briefing:F = k/d² where k is the inverse variation's constant.
18 N = k / (10 km)²
18 N = k / 100 km²
k = (18 N) (100 km²)
k = 1800 (N)(km²)
F = ?
d = 7.5 km
k = 1800 (N) (km²)
F = 1800 (N)(km²) / (7.5 km)²
F = 1800 (N) (km²) / (55.25 km²)
F = 32 N
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A particle of mass 10 g and charge 80 μC moves through a uniform magnetic field, in a region where the free-fall acceleration is
−9.8jˆ m/s2
. The velocity of the particle is a constant 20iˆ km/s, which
is perpendicular to the magnetic field. What, then, is the magnetic
field?
According to the question the magnetic field is -3.925 x 10⁻⁶ T.
What is magnetic field?A magnetic field is an invisible force field created by a magnet or a moving electric charge. This field is made up of magnetic lines of force that move outward from the magnet or electric charge and can interact with other magnets and electric charges. The magnitude and direction of the force can be determined by measuring the strength and direction of the magnetic field.
The magnetic field can be determined using the equation:
F = qv x B,
where F is the force, q is the particle's charge, v is its velocity, and B is the magnetic field.
We can rearrange this equation to solve for B:
B = F / (qv)
In our case, the charge of the particle is 80 μC, its velocity is 20iˆ km/s, and the force is given by F = ma = (10g)(-9.8jˆ m/s²) = -98 mN.
Substituting these values into the equation, we find that the magnetic field is:
B = -98 mN / (80 μC x (20iˆ km/s)) = -3.925 x 10⁻⁶ T.
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3. What would be the mass of a truck if it is accelerating at a rate of 5 m/s and hits a parked car with a
force of 14,000 N?
I
Answer:
We are given both the Force applied by the truck and the acceleration of the truck:
Force applied (F) = 14,000 N
Acceleration (a)= 5 m/s²
Solving for the mass of the truck:
From Newton's second law of motion,
F = ma (where F is the force applied , m is the mass of the object and a is the acceleration of the object)
replacing the variables:
14000 = (m)* 5
m = 14000/5
m = 2800
Therefore, the mass of the truck is 2800 kg
Answer:
m = 2800 N
Explanation:
14000 = (m)* 5
m = 14000/5
F= 14,000 N
a= 5 m/s^2
How does pressure depend upon force applied ?
Answer:
Pressure depends on the amount of force and the area over which the force is applied.
Explanation:
More force - more pressure. More area - less pressure. In fact, pressure is directly proportional to force, and inversely proportional to area.
Answer:
it depend on yhe amount of force and area
What is the relationship between the weight of objects and the sum of their parts?
Answer:
No matter how parts of an object are assembled, the weight of the whole object is always the same as the sum of the parts; and when a thing is broken into parts, the parts have the same total weight as the original thing.
An object of mass 2 kg moving with velocity of 12 m/s, collides head-on with a stationary object whose mass is 6 kg. Given that the collision is elastic, what are the final velocities of the two objects? Neglect friction.
Answer:
5. An object of mass m = 2 kg, moving with velocity Vi1 = 12 m/s, collides head-on with a stationary object whose mass is m2 = 6 kg. The velocities of the objects after the collision are vj1 -6 m/s and Vr2 = 6 m/s.
Explanation:
We can use the conservation of momentum and kinetic energy to solve for the final velocities of the two objects.
Conservation of momentum:
m1v1i + m2v2i = m1v1f + m2v2f
where m1 and v1 are the mass and velocity of object 1 before the collision, and m2 and v2 are the mass and velocity of object 2 before the collision.
Plugging in the values:
(2 kg)(12 m/s) + (6 kg)(0 m/s) = (2 kg)(v1f) + (6 kg)(v2f)
Simplifying:
24 kg m/s = 2 kg v1f + 6 kg v2f
Conservation of kinetic energy:
(1/2)m1v1i^2 + (1/2)m2v2i^2 = (1/2)m1v1f^2 + (1/2)m2v2f^2
Plugging in the values:
(1/2)(2 kg)(12 m/s)^2 + (1/2)(6 kg)(0 m/s)^2 = (1/2)(2 kg)(v1f)^2 + (1/2)(6 kg)(v2f)^2
Simplifying:
144 J = 1 kg v1f^2 + 3 kg v2f^2
Now we have two equations with two unknowns (v1f and v2f). Solving for v1f in terms of v2f in the first equation:
v1f = (24 kg m/s - 6 kg v2f)/2 kg = 12 m/s - 3v2f
Plugging this into the second equation:
144 J = 1 kg (12 m/s - 3v2f)^2 + 3 kg v2f^2
Simplifying and solving for v2f:
144 J = 1 kg (144 m^2/s^2 - 72 v2f + 9 v2f^2) + 3 kg v2f^2
144 J = 144 J - 72 kg m/s v2f + 9 kg m^2/s^2 v2f^2 + 3 kg v2f^2
6 kg v2f^2 - 72 kg m/s v2f + 144 J = 0
Dividing by 6 kg:
v2f^2 - 12 kg m/s v2f + 24 J/kg = 0
Using the quadratic formula:
v2f = [12 kg m/s ± sqrt((12 kg m/s)^2 - 4(1)(24 J/kg))]/(2)
v2f = [12 kg m/s ± sqrt(96) m/s]/2
v2f = 6 kg m/s ± 2sqrt(6) m/s
v2f ≈ 9.90 m/s or v2f ≈ 2.10 m/s
Plugging these values into the equation we found for v1f:
v1f = 12 m/s - 3v2f
v1f ≈ -16.70 m/s or v1f ≈ 38.70 m/s
Since the negative velocity doesn't make physical sense, the final velocities of the two objects are:
v1f ≈ 38.70 m/s and v2f ≈ 2.10 m/s
HELPPPPPP
i need to turn this assignment in soon!
Answer:
A B C
Explanation:
I think that is right. Sorry if it's not
Hope this helps :)
How or why does a pendulum oscillate?
Question 7 options:
A pendulum oscillates due to restoring force arising from tension in the string.
A pendulum oscillates due to restoring force arising from gravity.
A pendulum oscillates due to the elastic nature of the string.
A pendulum oscillates due to applied force.
A pendulum oscillates due to restoring force arising from gravity.
What is a pendulum?We know that the pendulum has to do with a long rope that has a bob that is attached to the end of the rope. The bulb can be put into oscillation if the bob is displaced through a small angle.
Let us recall that an oscillatory motion is a regular restoring motion. It is a motion that has an acceleration that is always directed towards the center of the motion.
Having said that, we can see that the restoring force that is working in the case of the pendulum stem from the fact that the bob of the pendulum is moving under the influence of gravity hence it returns to its starting point. As a result the pendulum would always be moving towards the center of the motion.
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What is the electric field amplitude of an electromagnetic wave whose magnetic field amplitude is 5.4 mT ?
Given:
Magnetic field amplitude = 5.4 mT
Let's find the electric field amplitude of the electromagnetic wave.
To find the electric field amplitude, apply the formula:
\(E=C*B\)Where:
C is the speed of light = 3 x 10⁸ m/s
B is the magnetic field amplitude = 5.4 mT = 5.4 x 10⁻³ T
E is the electric field intensity.
Plug in the values and solve for E:
\(\begin{gathered} E=3\times10^8*5.4\times10^{-3} \\ \\ E=1.62\times10^6\text{ V/m} \end{gathered}\)Therefore, the electric field amplitude is 1.62 x 10⁶ V/m.
ANSWER:
1.62 x 10⁶ V/m.
Which of the following parallel plate diagrams would have the greatest electric fields between them?
The greatest electric field between them is Option B.
An electric field is the physical subject that surrounds electrically charged particles and exerts a force on all other charged debris inside the area, either attracting or repelling them. It also refers back to the bodily field of a machine of charged particles.
Reasoning:-
Electric field = Kq/r²
Since the distance is inversely proportional to the square root of the distance between them. therefore decreasing the distance electric field will be the greatest. Hence Option B.
The electrical field is defined mathematically as a vector discipline that can be related to each point in space, the force in step with unit charge exerted on a fine take a look at the price at rest at that factor. the electric field is generated by the electrical rate or through time-varying magnetic fields. electric fields provide us with the pushing force we need to set off the contemporary float.
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The figure depicts the sum of two velocities, and . The value of the sum is 4.5 m/s and the angles shown in the image are =32.4 and =22.4. Find the magnitude of velocity in meters per second. A numeric value is expected and not an expression.
To find the magnitude of the velocity, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side (c) is equal to the sum of the squares of the other two sides (a and b), minus twice the product of the two sides (a and b) multiplied by the cosine of the included angle (θ).
In this case, we have a triangle with sides a, b, and c, and angles θ1 and θ2.
Given:
Sum of velocities (c) = 4.5 m/s
Angle θ1 = 32.4°
Angle θ2 = 22.4°
We can write the equation for the law of cosines as follows:
c² = a² + b² - 2ab * cos(θ)
We want to find the magnitude of the velocity, which is equivalent to the length of side c.
Plugging in the given values, we have:
(4.5 m/s)² = a² + b² - 2ab * cos(θ)
Simplifying and rearranging the equation, we have:
a² + b² - 2ab * cos(θ) = 20.25
Now, we need to find the values of a and b. We can use trigonometric relationships to express a and b in terms of the given angles and the magnitude of the velocity.
a = c * cos(θ1)
b = c * cos(θ2)
Plugging in the given values, we have:
a = 4.5 m/s * cos(32.4°)
b = 4.5 m/s * cos(22.4°)
Now, substitute the values of a and b back into the rearranged equation:
(4.5 m/s * cos(32.4°))² + (4.5 m/s * cos(22.4°))² - 2 * (4.5 m/s * cos(32.4°)) * (4.5 m/s * cos(22.4°)) * cos(θ) = 20.25
Simplify the equation and solve for cos(θ):
cos(θ) = (20.25 - (4.5 m/s * cos(32.4°))² - (4.5 m/s * cos(22.4°))²) / (2 * (4.5 m/s * cos(32.4°)) * (4.5 m/s * cos(22.4°)))
Calculate the value of cos(θ) using a calculator.
Finally, calculate the magnitude of the velocity by taking the square root of both sides of the equation:
velocity = √(a² + b² - 2ab * cos(θ))
Evaluate the expression to find the numeric value of the magnitude of velocity in meters per second.
Help help help help help help all the answers help help help help help help help
Answer:
10. the obj with greater mass will experience lesser acceleration than the obj with lesser mass
11. 3rd law.
12. weight
13..........
Answer:
Lol
Explanation:
Because
Can light from a light bulb cause skin cancer?
Answer:
Yes
Explanation:
Light Bulbs emit UV radiation which can cause skin cancer.
The law of conservation of angular momentum states that if no external force acts on an object, then its angular momentum does not change. true or false
Answer:
the answer is false.
Explanation:
i took the test and it is false trust me!!!!!!!!!
A body is travelling with a velocity 30 m/s².what will be its velocity after 4s?
Answer:
70m/s²
Explanation:
we will use the first equation of Dalton to find it
Explain the sources of instrumental errors
Answer:
A pH meter that reads 0.5 off or a calculator that rounds incorrectly would be the source of instrumental errors.
what happen to kinetic energy of a body if it speed is doubled
Answer:
The energy possessed by a body because of its motion, equal to one half the mass of the body times the square of its speed is called its kinetic energy. Hence, when velocity is doubled, kinetic energy becomes 4 times.
Explanation:
URGENT HELP PLS
(a) Find the frequency ratio between the two frequencies f1 = 320 Hz and
½2 = 576 Hz.
S) If we go down from / by an interval of a fourth, find the frequency ratio filfi.
(c) Find the frequency of f3.
The frequency of f3 is approximately 716 Hz.
What is frequency?The frequency of a repeated event is its number of instances per unit of time. Hertz (Hz), which stands for the number of cycles per second, is a popular unit of measurement.
a. Given two frequencies, f1 and f2, the frequency ratio is as follows:
frequency ratio= \(\frac{f2}{f1}\)
Inputting the values provided yields:
frequency ratio = \(\frac{576}{320Hz}\) =1.8.
As a result, the difference in frequency between f1 = 320 Hz and f2 = 576 Hz is 1.8.
b. Since there are 12 half-steps in an octave and a fourth is a distance of 5 half-steps, going down a fourth requires dividing the frequency by \(2^{(4/12)}\). Hence, once a fourth is subtracted, the frequency ratio between f and f1 is:
frequency ratio= \(\frac{f}{ (f1 /f2 ) }\)= \(\frac{f}{ (f1 / 1.3348) }\)
By dividing the numerator and denominator by 1.3348, we may make this more straightforward:
frequency ratio= (f × 1.33348)/f1
As a result, (f × 1.3348) / f1 is the frequency ratio between f and f1 after descending a fourth.
c. (c) To find the frequency of f3, we need to know the interval between f1 and f3. Let's assume that f3 is a fifth above f2. The frequency ratio for a fifth is given by: \(2^{(7/12)}\) = 1.49831
Therefore, the frequency of f3 is:
f3 = f1 × (\(2^{(7/12)}\)) × (\(2^{(7/12)}\)) = 320 Hz × 1.49831 ×1.49831 = 716 Hz
Therefore, the frequency of f3 is approximately 716 Hz.
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a farmer grows a bushel of wheat and sells it for $1. the miller turns the wheat into flour and then sells the flour to a baker for $3. The baker uses the flour to make bread and sells the bread to an engineer for $6. the engineer eats the bread. What is the value added by each person ? what is the bread's contribution to GDP ?
The value added by the baker is $3. The bread's contribution to GDP is the final sale price of the bread, which is $6
In this scenario, each person involved in the production and sale of the bread adds value to the final product. The concept of value added refers to the increase in the market value of a product at each stage of production.
The farmer grows the wheat and sells it for $1. The value added by the farmer is $1.
The miller processes the wheat into flour, increasing its value. The miller sells the flour to the baker for $3, so the value added by the miller is $3 - $1 = $2.
The baker uses the flour to make bread, further adding value to the product. The baker sells the bread to the engineer for $6, so the value added by the baker is $6 - $3 = $3.
The engineer consumes the bread, but since no further economic value is added, there is no additional value added by the engineer.
The bread's contribution to GDP (Gross Domestic Product) is the final sale price of the bread, which is $6. GDP measures the total value of all goods and services produced within a country's borders, and the sale of the bread represents the final output of the production chain.
Overall, the value added at each stage contributes to the final price of the bread, and the final sale price of the bread represents its contribution to GDP.
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By riding an elevator up 200 m, a person’s GPE increases by 164,000 J. What is the person’s mass?
Answer:
Person’s mass M = 83.67 kg (Approx.)
Explanation:
Given:
Gravitational potential energy = 164,000 J
Height = 200 m
Find:
Person’s mass M
Computation:
Gravitational acceleration g = 9.8 m/s²
Gravitational potential energy = mgh
164,000 = (m)(9.8)(200)
Person’s mass M = 83.67 kg (Approx.)
A proton moves at a speed 1.4 × 10^7 m/s perpendicular to a magnetic field. The field causes the proton to travel in a circular path of radius 0.85 m. What is the field strength?
0.17T
Explanation:
When a charged particle moves into a magnetic field perpendicularly, it experiences a magnetic force \(F_{M}\) which is perpendicular to the magnetic field and direction of the velocity. This motion is circular and hence there is a balance between the centripetal force \(F_{C}\) and the magnetic force. i.e
\(F_{C}\) = \(F_{M}\) --------------(i)
But;
\(F_{C}\) = \(\frac{mv^2}{r}\) [m = mass of the particle, r = radius of the path, v = velocity of the charge]
\(F_{M}\) = qvB [q = charge on the particle, B = magnetic field strength, v = velocity of the charge ]
Substitute these into equation (i) as follows;
\(\frac{mv^2}{r}\) = qvB
Make B subject of the formula;
B = \(\frac{mV}{qr}\) ---------------(ii)
Known constants
m = 1.67 x 10⁻²⁷kg
q = 1.6 x 10⁻¹⁹C
From the question;
v = 1.4 x 10⁷m/s
r = 0.85m
Substitute these values into equation(ii) as follows;
B = \(\frac{1.67 * 10 ^{-27} * 1.4 * 10^{7}}{1.6 * 10^{-19} * 0.85}\)
B = 0.17T
Therefore, the magnetic field strength is 0.17T
❧ What are the images formed by a plane mirror?
The following are some properties of images formed by a plane mirror are; virtual, upright, left-right reversed, the same distance from the mirror as the object's distance, and the same size as the object.
What is a plane mirror?When a ray of light hits a surface, then it can undergo one of the following reflection, refraction, or absorption. So mirrors are polished surfaces coated with mercury such that they reflect most of the light hitting them.
Characteristics of the image formed by a plane mirrorThe image is virtual.The image is laterally inverted.The image is erect.The size of the image is the same as the size of the object.The distance between the image obtained from the mirror is the same as the distance between the object from the mirror.Learn more about plane mirrors:https://brainly.com/question/1126858
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Enter an expression for the total time of flight of the ball: the time from when it is launched to when it lands back on the ground. Express this time in terms of vi and a. It suggested using the formula I entered for part c which was= ( vf2 - vi2 )/( 2a)
The expression for the total time of flight when the object is released from ground level is t = (2u sinθ ) / ( g ).
What is the expression for total time of flight?The expression for the total time of flight is calculated by applying second kinematic equation as shown below.
when the object is released from a height, h
h = vt + ¹/₂gt²
where;
h is the height of fall of the objectv is the initial vertical velocity of the objectg is acceleration due to gravityt is the time of flightwhen the object is released from ground level,
t = (2u sinθ ) / ( g )
where
u is the initial velocityθ is the direction of the velocityg is acceleration due to gravityThus, the time of flight of an object is the total time spent in air by the object.
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Which combination of cell increases both electric current and electromotive force?
Answer:
In parallel combination, the cells are connected in such a way that the potential difference of the circuit is same as the cells used in the circuit but the time of current flowing increases
To increase both the current and electromotive force (EMF), we need to connect the cells in both series and parallel.
What do you mean by cells in series and parallel?Cells can be connected in series or parallel to increase the overall voltage or current output of a battery.
When cells are connected in series, their positive terminals are connected to the negative terminals of the adjacent cells, and the overall voltage of the battery is the sum of the voltages of the individual cells.
For example, if two cells each have a voltage of 1.5 volts, connecting them in series will create a battery with a total voltage of 3 volts.
When cells are connected in parallel, their positive terminals are connected together and their negative terminals are connected together, and the overall current output of the battery is the sum of the currents of the individual cells.
For example, if two cells each have a current output of 1 ampere, connecting them in parallel will create a battery with a total current output of 2 amperes.
By combining cells in both series and parallel configurations, it is possible to create a battery with a higher overall voltage and current output than a single cell.
This is commonly used in batteries for electronic devices, vehicles, and other applications where high power output is required.
Here in the question,
Connecting cells in series increases the electromotive force (EMF) while keeping the current constant.
Connecting cells in parallel, on the other hand, increases the current while keeping the EMF constant.
Therefore, to increase both the current and EMF, we need to connect the cells in both series and parallel. This can be done by creating a battery with multiple cells, where the cells are connected in both series and parallel configurations. This allows for a higher overall voltage (EMF) and a higher overall current.
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