when the distance between two masses doubles, the strength of the gravitational force between them ―
Answers
When the distance between two masses doubles, the strength of the gravitational force between them is decreased by a factor of 4.
Gravitational Force:
Any two mass-containing objects are attracted to one another by gravitational force. Because it consistently attempts to pull masses together rather than pushing them apart, the gravitational force is known as attractive. In reality, everything in the cosmos is tugging on everything else, including you! Newton's Universal Law of Gravitation is what it is known. Admittedly, you aren't pushing on those other objects all that much because you don't have a very large mass. Additionally, items that are very far apart from one another do not clearly tug on one another. However, we can calculate the force because it exists.
It is given by,
\(F=\frac{GMm}{r^{2} }\)
We can clearly evaluate from the above formula that
\(F\) ∝ \(\frac{1}{r^{2} }\)
So,
When the distance between two masses doubles, the strength of the gravitational force between them is decreased by a factor of 4.
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Related Questions
Suppose a spectral line of hydrogen, normally at 500 nm when measured in a lab on Earth, is observed in the spectrum of a star to be at 500.3 nm. This is called a red shift because the wavelength is longer (and red is on the long-wavelength side of the visible spectrum). How fast is the star moving away from Earth? Give your answer in m/s. Hint: follow example 5.6. Compare in particular to the "Check your learning" calculation, and note that larger Δλ means larger speed.
Answers
The star is moving away from Earth at a velocity of 1.8 x 106 m/s.
The Doppler Effect describes the shift in wavelength of a wave when the source is moving in relation to the observer. The shift can be observed in sound waves, light waves, and other waves.
The Doppler Effect can be used to determine the velocity of objects moving away from an observer, as in the case of stars moving away from Earth.
The velocity of a star moving away from Earth can be determined using the equation:
v = Δλ/λ x c, Where v is the velocity of the star, Δλ is the shift in wavelength of the spectral line, λ is the wavelength of the spectral line measured in the lab on Earth, and c is the speed of light (3.00 x 108 m/s).
In this case, the shift in wavelength of the spectral line is Δλ = 500.3 nm - 500 nm = 0.3 nm.
The wavelength of the spectral line measured in the lab on Earth is λ = 500 nm.
Plugging in these values to the equation above: v = Δλ/λ x cv = (0.3 nm / 500 nm) x (3.00 x 108 m/s) = 1.8 x 106 m/s.
Therefore, velocity of star 1.8 x 106 m/s.
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What is the resultant?
1400 N
643 N
Answers
Select an item that is common in our society that you believe is elastic and, using two determinants of elasticity (pages 133-134), briefly explain why you believe this product is elastic.
Select an item that is common in our society that you believe is inelastic and, using two determinants of elasticity (pages 133-134), briefly explain why you believe this product is inelastic. Expectations are a minimum of one paragraph (4 to 5 sentences) for each question in the initial post.
Answers
There are no immediate substitutes for gasoline as public transportation is often limited and walking, biking, or taking a cab is not always feasible. Therefore, people may continue to purchase gasoline despite an increase in price.
One item that is common in our society that I believe is elastic is fast food. Elasticity is the degree to which changes in price affect demand for a good or service.
Fast food is elastic because it has many substitutes such as restaurants, home-cooked meals, and even other fast-food chains. Fast food is also highly responsive to price changes, which means that a small change in price can cause a large change in demand.
For example, a $1 price increase for a burger meal at a fast-food chain might cause many people to switch to a competitor with a cheaper price. Thus, fast food is an elastic product in our society.One item that is common in our society that I believe is inelastic is gasoline.
Gasoline is an inelastic product because it has few substitutes and people need it for transportation. If the price of gasoline increases, people may continue to purchase it even if it means spending more money because there are few alternative options.
Additionally, there are no immediate substitutes for gasoline as public transportation is often limited and walking, biking, or taking a cab is not always feasible.
Therefore, people may continue to purchase gasoline despite an increase in price.
For example, if the price of gasoline increases by $1, a consumer will still purchase gasoline because they require it to get to work or school. Thus, gasoline is an inelastic product in our society.
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One item in our society that I believe is elastic is the price of gasoline because of various alternatives to gasoline and the proportion of income spent. An item in our society that I believe is inelastic is medical treatment because of the necessity of medical treatment and lack of substitutes.
Firstly, the availability of substitutes contributes to the elasticity of gasoline. In our society, there are various alternatives to gasoline, such as electric vehicles or public transportation. When the price of gasoline increases, consumers have the option to switch to these substitutes, reducing their demand for gasoline. Conversely, when the price of gasoline decreases, consumers may choose to drive more or purchase larger vehicles, increasing their demand for gasoline. This flexibility in consumer choices demonstrates the elasticity of gasoline.
Secondly, the proportion of income spent on the product also influences the elasticity of gasoline. For many individuals, the cost of gasoline represents a significant portion of their overall budget. When the price of gasoline rises, consumers may have to make adjustments to their spending habits or seek alternative means of transportation to cope with the higher expenses. Conversely, when the price of gasoline decreases, consumers may have more disposable income to spend on other goods and services. This sensitivity to price changes further supports the elasticity of gasoline.
On the other hand, an item in our society that I believe is inelastic is medical treatment. Two determinants of elasticity that contribute to this belief are the necessity of the product and the lack of substitutes.
Firstly, the necessity of medical treatment makes it an inelastic product. When individuals require medical treatment, they often have no choice but to seek the necessary healthcare services regardless of the price. This is especially true for life-saving procedures or medications. The demand for medical treatment is driven by the urgency and importance of preserving one's health, which leads to a less responsive consumer behavior to price changes.
Secondly, the lack of substitutes also contributes to the inelasticity of medical treatment. In many cases, there are limited alternatives or substitutes available for specific medical treatments. For example, if a person requires a specific surgery or medication to treat a condition, they cannot easily switch to a different treatment option to lower their expenses. The lack of viable substitutes reduces consumer choice and makes the demand for medical treatment less responsive to changes in price.
In summary, the price of gasoline is elastic due to the availability of substitutes and the proportion of income spent on the product. On the other hand, medical treatment is inelastic due to its necessity and the lack of substitutes. These determinants of elasticity highlight the different levels of responsiveness to price changes in these two common items in our society.
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Anita drives for 3 hours at a speed of 60 km/h. How far will she travel?
Answers
Answer:
She will travel 180 kilometers.
Explanation:
You take the time and multiply it by your distance, and you get your total distance.
d = v.t
d = 60 km/h x 3 h
d = 180 km
Michael has a constant elasticity of substitution (CES) utility function, U(q 1
,q 2
)=(q 1
rho
+q 2
rho
) rho
1
, where rho
=0 and rho≤11 14
Given that Michael's rho<1, what are his optimal values of q 1
and q 2
in terms of his income and the prices of the two goods? Answer 1. Substitute the income constraint into Michael's utility function to eliminate one control variable. Michael's constrained utility maximization problem is max q 1
,q 2
U(q 1
,q 2
)=(q 1
rho
+q 2
rho
) rho
1
s.t. Y=p 1
q 1
+p 2
q 2
We can rewrite Michael's budget constraint as q 2
=(Y−p 1
q 1
)/p 2
. Substituting this expression into his utility function, we can express Michael's utility maximization problem as: max q 1
U(q 1
, p 2
Y−p 1
q 1
)=(q 1
rho
+[ p 2
Y−p 1
q 1
] rho
) 1/rho
. By making this substitution, we have converted a constrained maximization problem with two control variables into an unconstrained problem with one control variable, q 1
2. Use the standard, unconstrained maximization approach to determine the optimal value for q 1
. To obtain the first-order condition, we use the chain rule and set the derivative of the utility function with respect to q 1
equal to zero: rho
1
(q 1
rho
+[ p 2
Y−p 1
q 1
] rho
) rho
1−rho
(rhoq 1
rho−1
+rho[ p 2
Y−p 1
q 1
] rho−1
[−− p 2
p 1
])=0 Using algebra, we can solve this equation for Michael's optimal q 1
as a function of his income and the prices: 15 (3.18) q 1
= p 1
1−σ
+p 2
1−σ
Yp 1
−σ
where σ=1/[1−rho]. By repeating this analysis, substituting for q 1
instead of for q 2
, we derive a similar expression for his optimal q 2
: (3.19) q 2
= p 1
1−σ
+p 2
1−σ
Yp 2
−σ
Thus, the utility-maximizing q 1
and q 2
are functions of his income and the prices.
Answers
The optimal values of \(q_1\) and \(q_2\) are determined by these equations, which are functions of Michael's income and the prices of the goods.
The given problem describes Michael's utility maximization problem with a constant elasticity of substitution (CES) utility function. The objective is to find the optimal values of \(q_1\) and \(q_2\) in terms of Michael's income (Y) and the prices of the two goods (\(p_1\) and \(p_2\)).
1. Substitute the income constraint into Michael's utility function:
\(U(q_1, q_2) = (q_1^\rho + q_2^\rho)^(1/\rho)\)
s.t. \(Y = p_1q_1 + p_2q_2\)
We can rewrite Michael's budget constraint as \(q_2 = (Y - p_1q_1)/p_2\). Substituting this expression into his utility function, we have:
\(U(q_1, p_2, Y) = (q_1^\rho + [p_2(Y - p_1q_1)/p_2]^\rho)^{(1/\rho)\)
By making this substitution, we have converted the constrained maximization problem with two control variables (\(q_1\) and \(q_2\)) into an unconstrained problem with one control variable \((q_1)\).
2. Use the standard unconstrained maximization approach to determine the optimal value for \(q_1\). To obtain the first-order condition, we differentiate the utility function with respect to \(q_1\) and set it equal to zero:
\(\delta U / \delta q_1 = \rho(q_1^{(\rho-1)} + \rho[p_2(Y - p_1q_1)/p_2]^{(\rho-1)}(-p_1/p_2)) = 0\)
Simplifying and solving for \(q_1\):
\(\rho q_1^{(\rho-1)} - \rho(p_1/p_2)[p_2(Y - p_1q_1)/p_2]^{(\rho-1)} = 0\)
\(\rho q_1^{(\rho-1)} - \rho(p_1/p_2)[Y - p_1q_1]^{(\rho-1)} = 0\)
\(\rho q_1^{(\rho-1)} = \rho(p_1/p_2)[Y - p_1q_1]^{(\rho-1)}\)
\(q_1^{(\rho-1)} = (p_1/p_2)[Y - p_1q_1]^{(\rho-1)\)
\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}[Y - p_1q_1]^{(\rho-1)}\)
\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}(Y - p_1q_1)^{(\rho-1)}\)
\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}(Y^{(\rho-1)} - (\rho-1)p_1q_1(Y - p_1q_1)^{(\rho-2)})\)
This equation represents Michael's optimal \(q_1\) as a function of his income (Y) and the prices (\(p_1\) and \(p_2\)).
3. Similarly, we can derive a similar expression for his optimal \(q_2\):
\(q_2^{(\rho-1)} = (p_2/p_1)^(1-\rho)(Y^{(\rho-1)} - (\rho-1)p_2q_2(Y - p_1q_2)^{(\rho-2)})\)
This equation represents Michael's optimal \(q_2\) as a function of his income (Y) and the prices (\(p_1\) and \(p_2\)).
Therefore, these equations, which depend on Michael's income and the prices of the commodities, determine the ideal values of \(q_1\) and \(q_2\).
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The soprano's singing caused a drinking glass to shatter.
Explain why this happened using what you know about
resonance.
Answers
Answer:
The soprano's singing matched the natural frequency of the glass, causing it to vibrate. The strong vibrations caused the glass to shatter.
Explanation:
edg 2020
a positive test charge q is released from rest at distance r away from a charge of q and a distance 2r away from a charge of 2q. 1)how will the test charge move immediately after being released?
Answers
The test charge will move in the direction towards the charge q immediately after being released.
The positive test charge q will experience a net force due to the two charges present. To determine the direction of the test charge's motion immediately after being released, we need to consider the forces acting on it. The charge q will experience two forces:
1. From the charge q located at a distance r away: The test charge and the charge q have the same sign, so there will be a repulsive force between them.
According to Coulomb's law, the magnitude of the force is given by
F₁ = k * q² / r²
Where k is the electrostatic constant. Since the charges have the same sign, the force will be repulsive. The direction of this force will be directly away from the charge q.
2. From the charge 2q located at a distance 2r away: The test charge and the charge 2q have opposite signs, so there will be an attractive force between them. The magnitude of the force is given by
F₂ = k * q * (2q) / (2r)²
= k * 2q² / (4r²)
= k * q² / (2r²)
The direction of this force will be towards the charge 2q. The net force on the test charge will be the vector sum of the two forces. Since the force from charge q is directed away from it, and the force from charge 2q is directed towards it, the net force will be directed towards charge q.
Therefore, after being released, the test charge will immediately begin to move in the direction of the charge q.
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What is a parametrization of a curve in the xy plane?
Answers
A parametrization of a curve in the xy plane is a method of expressing the coordinates of each point on the curve as functions of a single parameter.
A parametrization of a curve in the xy plane is a method of expressing the coordinates of each point on the curve as functions of a single parameter. When a curve is given in terms of parametric equations, it is possible to define the curve using a set of parametric equations.
A curve is defined as a continuous function of at least one variable. A curve in the xy-plane is a graph that consists of a set of points (x,y), where x and y are real numbers.
A parametric curve is a curve that is defined using parametric equations, which are equations that express the coordinates of each point on the curve as functions of a single parameter. The parameter is usually denoted by t, but it can be any letter or symbol.
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A coin placed 0.30 m away from the center of a rotating, horizontal turntable just begins to slip when its translational speed is 0.50 m/s. What is the coefficient of static friction between the coin and the turntable
Answers
According to the given statement The coefficient of static friction was found to be about 0.0850.
What is static friction ?Static friction is a force that prevents an item from moving. The friction encountered when persons attempt to move a stationary object on a surface without actually causing any relative motion between the body and the surface on which it is located.
The graph below depicts the turntable's constant maximum speed and the centripetal acceleration of the coin.
(a) The centripetal acceleration is caused by static friction.
(b) Using the diagram below,
mai^=fi^+nj^+mg(−j^)
Fy=0nmg, thus n=mg, and Fr=mrv2=f=n=mg
Then, \sμ=rgv²=(30.0cm)(980cm/s2)(50.0cm/s)²
=0.0850
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The complete question is -
A coin placed 30.0cm from the center of a rotating, horizontal turntable slips when its speed is 50.0cm/s. (a) What force causes the centripetal acceleration when the coin is stationary relative to the turntable? (b) What is the coefficient of static friction between coin and turntable?
joe's eyes are focused on the tree, so the squirrel and the mountain appear out of focus. this is because the image of the squirrel is formed ______ and the image of the mountain is formed _____.
Answers
When Joe's eyes are focused on the tree, the image of the squirrel is formed in front of or behind the retina, resulting in it appearing out of focus.
This is known as a blurry image. The image of the mountain, on the other hand, is formed on the retina and appears clear because it is properly focused.
In order for an object to be in focus, the light rays from the object must converge to a sharp image on the retina. The eye achieves this by adjusting the shape of the lens to bend the light rays and bring them to a focal point on the retina. When the eye is focused on a specific distance, objects at different distances will not converge on the retina and will appear blurred.
In the case of Joe looking at the tree, his eyes are adjusted to focus on that specific distance, causing objects at different distances, such as the squirrel and the mountain, to be out of focus.
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WILL GIVE BRAINLIEST
Explain the stages of complete and incomplete metamorphosis, provide examples for each. (Counts 20% of your lesson grade.)
Answers
Metamorphosis refers to the process of development and change in the body form of certain animals as they grow from juveniles to adults.
Explain the types of metamorphosis?
Metamorphosis is classified into two types: complete and incomplete.
1. Complete metamorphosis:
Complete metamorphosis is a developmental process in which the juvenile form of an animal goes through four distinct stages: egg, larva, pupa, and adult. In this type of metamorphosis, the juvenile form looks completely different from the adult form in terms of appearance, behavior, and habitat.
Animals that undergo complete metamorphosis include:
a) Butterflies and moths: The egg hatches into a caterpillar (larva) that feeds and grows rapidly. The larva then forms a pupa or chrysalis, where the body undergoes a complete transformation into an adult butterfly or moth.
b) Flies: The egg hatches into a worm-like maggot (larva) that feeds and grows. The maggot then transforms into a pupa, and finally, an adult fly emerges.
c) Beetles: The egg hatches into a grub (larva) that feeds and grows. The grub then transforms into a pupa, and finally, an adult beetle emerges.
Incomplete metamorphosis:
Incomplete metamorphosis is a developmental process in which the juvenile form (nymph) of an animal resembles the adult in appearance and habitat, but is smaller and lacks wings. The nymph goes through several stages of growth and molting before reaching adult form.
Animals that undergo incomplete metamorphosis include:
a) Grasshoppers: The egg hatches into a nymph that resembles the adult grasshopper but lacks wings. The nymph goes through several molts and growth stages before developing wings and reaching the adult stage.
b) Cockroaches: The egg hatches into a nymph that resembles the adult cockroach but lacks wings. The nymph goes through several molts and growth stages before developing wings and reaching the adult stage.
c) Dragonflies: The egg hatches into a nymph that lives in water and resembles the adult dragonfly but lacks wings. The nymph goes through several molts and growth stages before developing wings and emerging from the water as an adult dragonfly.
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A 25 N force stretches a spring 280 cm. What was the spring constant?
Answers
Answer:
F= 25N∆l=280cmK=?you apply the formula = K:F/∆l= 0,089N/cmHi there!
Using Hooke's Law:
F = kx
F = Force (N)
k = Spring constant (N/m)
x = displacement (m)
Begin by converting cm to m:
280 cm = 2.8 m
Now, plug in the givens:
25 = 2.8k
k = 8.93 N/m
Q2. A cube of side 2 cm has a density of 6 g cm. What is the mass of the cube?
Answers
\(given \: the \: length \: of \: one \: side \: of \: a \: cube \: \\ = 2cm \\ so \: we \: know \: the \: volume \: of \: a \: cube \: = {side}^{3} \\ so \: the \: volume \: of \: the \: cube \: here \: = {2}^{3} {cm}^{3} = \: 8 {cm}^{3} \\ we \: know \: density \: of \: a \: substance \: = \: \frac{mass}{volume} \\so \: mass \: = density \times volume \\ density = 6 \frac{g}{ {cm}^{3} } \\ volume \: = 8 {cm}^{3} \\ so \: \: mass \: = (6 \times 8)( {cm}^{3} \times \frac{g}{ {cm}^{3} }) \\ 48gram \: (ans) \)
HOPE IT HELPS
what are the three parts to tell the cell theory
Answers
Answer: 1. Organisms are made of cells
2. Cells are the most fundamental unit of life
3. Cells come from other cells
Explanation:
Hope this helps!!
Identity the various levels of atmosphere
Answers
2. Stratosphere: This layer extends from 10 km to about 50 km above the Earth's surface. It is the layer where most of the ozone is found.
3. Mesosphere: This layer extends from 50 km to about 80 km above the Earth's surface. It is the layer where meteors burn up.
4. Thermosphere: This layer extends from 80 km to about 600 km above the Earth's surface. It is the layer where auroras occur.
5. Exosphere: This is the outermost layer of the atmosphere and extends from 600 km to about 10,000 km above the Earth's surface. It is the layer where most of the particles escape into space.
what happens to the electron flow within a conductor if the emf or voltage source is removed?
Answers
If the voltage source or EMF is removed from a conductor, the electron flow within the conductor will eventually stop.
This is because the voltage source creates an electric field that causes the free electrons in the conductor to move, creating an electric current. When the voltage source is removed, the electric field disappears, and the free electrons in the conductor will no longer have a driving force to move them. As a result, the electrons will begin to lose energy and eventually come to a stop, leading to the cessation of the electric current.
It's worth noting that the time it takes for the electron flow to stop depends on various factors such as the resistance of the conductor, the capacitance of the circuit, and the amount of charge stored in any capacitors present in the circuit.
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Anyone knows this please help me
Answers
Answer:
True
Explanation:
The current in an RL circuit builds up to one-third of its steady state value in 5.20 s. Find the inductive time constant.
Answers
To find the Inductive time constant (L/R) in an RL circuit, we can use the formula: t = L/R
where:
t is the time it takes for the current to reach one-third (1/3) of its steady-state value, and
R is the resistance in the circuit.
In this case, we are given that the current builds up to one-third of its steady-state value in 5.20 s. Let's denote this time as t. So, we have t = 5.20 s.
To find the inductive time constant, we need to determine the resistance (R). Unfortunately, the resistance is not given in the question. Therefore, without the value of resistance (R), we cannot calculate the inductive time constant (L/R).
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Two objects are experiencing a force of gravitational attraction. If you triple the mass of one of the objects and double the distance between their centres, the new force of gravity compared to the old (Fg) will be: A) 3 Fg B) 1.5 Fg C) 0.75 Fg D) the same
Satellite A and B are both in stable orbit of the Earth, but Satellite B is twice as far from the Earth's centre. Compared to Satellite A, the orbital period of Satellite B is a) 2.83 times larger b) 1.41x larger c) The same d) 0.70 times as large e) 0.35 times as large
Answers
To determine the new force of gravity in the first scenario, we can use the formula for gravitational force:
\(Fg = (G * m1 * m2) / r^2,\)
where G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between their centers.
If we triple the mass of one object and double the distance between their centers, the new force of gravity can be calculated as follows:
New \(Fg = (G * (3m) * m) / (2r)^2.\)
Simplifying this expression, we get:
New Fg = (G * 3m * m) / (4r^2).
Since (3m * m) / (4r^2) is equivalent to (3/4) * (m * m) / (r^2), we can rewrite the equation as:
New \(Fg = (3/4) * (G * m * m) / r^2.\)
Comparing this to the original force of gravity, Fg, we see that the new force is (3/4) times the original force. Therefore, the answer is C) 0.75 Fg.
Regarding the second scenario, for objects in stable orbit, the orbital period is determined by the formula:
\(T = 2π * sqrt(r^3 / (G * M)),\)
where T is the orbital period, r is the distance between the center of the object and the center of the Earth, G is the gravitational constant, and M is the mass of the Earth.
If Satellite B is twice as far from the Earth's center compared to Satellite A, we can say that r_B = 2 * r_A.
Let's compare the orbital periods of the two satellites:
T_B = 2π * sqrt((2r_A)^3 / (G * M)) = 2π * sqrt(8r_A^3 / (G * M)).
T_A = 2π * sqrt(r_A^3 / (G * M)).
Dividing T_B by T_A, we get:
T_B / T_A = (2π * sqrt(8r_A^3 / (G * M))) / (2π * sqrt(r_A^3 / (G * M))).
Simplifying this expression, we find:
T_B / T_A = sqrt(8r_A^3 / (r_A^3)) = sqrt(8) = 2.83.
Therefore, the answer is a) 2.83 times larger.
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When two objects are experiencing gravitational attraction, if you triple the mass of one of the objects and double the distance between their centers, the new force of gravity compared to the old will be 0.75 times the original force (0.75 Fg).The orbital period of Satellite B compared to Satellite A is 2.83 times larger.
This is because the force of gravitational attraction between two objects is inversely proportional to the square of the distance between their centers of mass. If you double the distance between two objects, the force of gravitational attraction decreases by a factor of 4 (2^2). On the other hand, if you triple the mass of one of the objects, the force of gravitational attraction increases by a factor of 3.
Therefore, combining these effects, the new force of gravity will be 3/4 or 0.75 times the original force.
Satellite A and Satellite B are both in stable orbit around the Earth, but Satellite B is twice as far from the Earth's center as Satellite A. The orbital period of Satellite B compared to Satellite A is 2.83 times larger.
This is because the orbital period of an object in circular motion is dependent on the radius of the orbit. The further an object is from the center of the orbit, the longer it takes to complete one full orbit. Since Satellite B is twice as far from the Earth's center as Satellite A, its radius is also twice as large. The orbital period is directly proportional to the radius, so Satellite B's orbital period will be 2.83 times larger than Satellite A's orbital period.
Therefore, the correct statement is:
The new force of gravity compared to the old will be 0.75 Fg.
The orbital period of Satellite B compared to Satellite A is 2.83 times larger.
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A ball is thrown horizontally at a height of 1.6 metres above the ground, with initialspeed 14 m s^-1a)Find the time of flight of the ball, giving the answer as a fraction.b)Find the range of the ball.
Answers
Given:
The initial height of the ball, h=1.6 m
The initial speed of the ball, u=14 m/s
To find:
a) The time of flight of the ball.
b) The range of the ball.
Explanation:
As the ball is thrown horizontally, the ball will have no vertical component of the initial velocity. The velocity of the ball is completely horizontal.
Thus the vertical component of the initial velocity of the ball is u_y=0 m/s.
The horizontal component of the initial velocity of the ball is u_x=u=14 m/s.
a)
From the equation of motion,
\(h=u_yt+\frac{1}{2}gt^2\)Where g is the acceleration due to gravity and t is the time of flight of the ball.
On substituting the known values,
\(\begin{gathered} 1.6=0+\frac{1}{2}\times9.8\times t^2 \\ \implies t=\sqrt{\frac{2\times1.6}{9.8}} \\ =0.57\text{ s} \end{gathered}\)b)
The range of the ball is given by,
\(R=u_xt\)On substituting the known values,
\(\begin{gathered} R=14\times0.57 \\ =7.98\text{ m} \end{gathered}\)Final answer:
a) The time of flight of the ball is 0.57 s
b) The range of the ball is 7.98 m
. A train passes a stationary observer. Which of the following best describes how the amplitude and the
apparent frequency of the sound waves heard by the observer change as the train moves away?
Answers
Question: How do static and sliding friction affect the speed of a paperback book, a flat
eraser and a key?
Answers
Answer:
How do static and sliding friction affect the speed of a paperback book, a flat eraser and a key?
Prediction: Which item (paperback book, flat eraser, or key) will have the most static friction and which item will have the most sliding friction? Make sure your prediction gives an explanation of your reasoning.
Explanation:
Plssss I need help——— Balloon A is (A. Negatively, B. Not, C. Positively) charged, and balloon C is (A. Negatively, B. Not, C. Positively) charged. Balloon A approaches balloon C, there’ll be a force of (A. Attraction, B. Repulsion) between them.
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Answer:
B. Not
C. Positively
A. Attraction
If I increase mass of 2 objects 2 times and increase the distance 2 times what happen to the force
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Relation between Distance and acceleration
\(\\ \tt\longmapsto a=dv/dt\)
\(\\ \tt\longmapsto a=ds/dt^2\)
So
\(\\ \tt\longmapsto a\propto s\)
Acceleration is directly proportional to distance.And
According to Newton's law
\(\\ \tt\longmapsto F=ma\)
\(\\ \tt\longmapsto F\propto m,a\)
So Force will be four times .why is the system of si unit developed
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Answer:
It allows people in different places and different countries to use the same units
Explanation:
help please! this is physics !
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Answer:
4. The choose b. 0.000355
Ans; 3.55× 10-⁴ = 0.000355
5. The choose C. 80600
Ans; 8.06 ×10⁴= 806×10² = 80600
I hope I helped you^_^
First if the power is negative, move the decimal to the left. And you move the decimal by the number on the power. So you move 4 to the left. Same goes for the other except it’s positive so you go 4 to the right.
Express 3 x 10-9s in milliseconds
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Answer:
3 × 10 to the power minus 6 milliseconds
When we convert 3 x 10⁻⁹ s into milliseconds it would be 3 x 10⁻⁶milliseconds
What are significant figures?In positional notation, significant figures refer to the digits in a number that is trustworthy and required to denote the amount of something, also known as the significant digits, precision, or resolution.
If a number describing the result of a measurement (such as length, pressure, volume, or mass) includes more digits than the number of digits permitted by the measurement resolution, only the digits allowed by the measurement resolution can be significant figures.
As given in the problem we have to convert 3 x 10⁻⁹ s into milliseconds
1 second = 1×10³ milliseconds
3 x 10⁻⁹ seconds = (3 x 10⁻⁹) × (1×10³ )
= 3 x 10⁻⁶milliseconds
Thus, 3 x 10⁻⁹ s converted into milliseconds it would be 3 x 10⁻⁶ milliseconds
Learn more about significant figures here
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A battery operating a large flashlight produces a current of 2 amperes in a light bulb that has a resistance of 4 ohms. The voltage of the battery is
a. 0.5 volts.
b. 2 volts.
c. 8 volts.
d. none of the above.
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A battery operating a large flashlight produces a current of 2 amperes in a light bulb that has a resistance of 4 ohms. The voltage of the battery is option c) 8 volts.
To determine the voltage of the battery, we can use Ohm's Law, which states that voltage (V) is equal to the product of current (I) and resistance (R), i.e.,
V = I × R.
In this case, the current is given as 2 amperes and the resistance is given as 4 ohms. Plugging these values into Ohm's Law, we have V = 2 A × 4 \(\Omega\) = 8 volts.
Therefore, the correct answer is c) 8 volts.
The voltage of a battery represents the electric potential difference it provides to the circuit. In this scenario, the battery is operating the flashlight, and the light bulb acts as the resistance in the circuit.
The current flowing through the bulb is determined by the battery's voltage and the resistance. With a current of 2 amperes and a resistance of 4 ohms, the voltage required to sustain this current is 8 volts.
It's important to note that the voltage of the battery is not solely dependent on the current or the resistance. It is the combination of these factors that determines the voltage required to drive the desired current through the circuit.
To learn more about voltage, refer to the link:
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help
1 state five fact about the earth
2 list seven variety roles of satellites
3 state 3 criteria that make pluto different from other planets
4 full meaning of IAU
5 list the type of contact force
6 what is force
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Answer:
4. INTERNATIONAL ASTRONOMICAL UNION
Answer:
6. force is the pull or push which changes or tends to change the (either rest or motion) of a body.
i message definition
Answers
Answer:
ok?
Explanation: