While working out, a man performed 500 J of work in 8 seconds. What washis power?A. 4000 WB. 62.5 WC. 500 WD. 38.5 W
Answers
Given:
The work done by the man is W = 500 J
The time taken by the man is t = 8 s
To find the power.
Explanation:
The power can be calculated by the formula
\(P=\frac{W}{t}\)On substituting the values, the power will be
\(\begin{gathered} P=\text{ }\frac{500}{8} \\ =\text{ 62.5 W} \end{gathered}\)Thus, the power is B. 62.5 W
Related Questions
The speed of your automobile has a huge effect on fuel consumption. Traveling at 65 miles per hour (mph) instead of 55mph can consume almost 20% more fuel. As a general rule, for every mile per hour over 55 , you lose 2% in fuel economy. For example, if your automobile gets 30 miles per gallon at 55mph, the fuel consumption is 21 miles per gallon at 70mph. If you take a 400-mile trip and your average speed is 83mph rather than the posted speed limit of 73mph, what is the extra cost of fuel if gasoline costs $3.26 per gallon? Your car gets 30 miles per gallon (mpg) at 63mph.
Answers
The extra cost of fuel for driving 83 mph instead of 73 mph is $3.7671.
The speed of your automobile has a huge effect on fuel consumption. Traveling at 65 miles per hour (mph) instead of 55mph can consume almost 20% more fuel. As a general rule, for every mile per hour over 55 , you lose 2% in fuel economy.
If you take a 400-mile trip and your average speed is 83mph rather than the posted speed limit of 73mph, then the extra cost of the fuel is calculated as:
* **Fuel consumption at 83 mph:** 30 mpg * (1 - 2% * (83 - 55)) = 27.6 mpg
* **Fuel consumption at 73 mph:** 30 mpg * (1 - 2% * (73 - 55)) = 29 mpg
* **Extra fuel used:** 400 miles / 27.6 mpg - 400 miles / 29 mpg = 2.4 gallons
* **Extra cost of fuel:** $3.26/gallon * 2.4 gallons = $3.7671
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if you take a picture of your friend, who is standing 3.90 m from the lens, using a camera with a lens with an 85 mm focal length, how far from the sensor is the lens?
Answers
If you take a picture of your friend, who is standing 3.90 m from the lens, using a camera with a lens with an 85 mm focal length, the sensor is 1.087 m from the lens.
1 / f = 1 / v + 1 / u
f = Focal length
v = Image distance
u = Object distance
u = 3.9 m
f = 85 mm
f = 0.85 m
1 / v = 1 / f - 1 / u
1 / v = 1 / 0.85 - 1 / 3.9
1 / v = 3.05 / 3.315
v = 1.087 m
The sign convention for this formula is:
When the object is on the same side of the refracting surface as the incoming light, the value of u is taken as positive else taken as negative.When the image is on the same side of the refracting surface as the incoming light, the value of v is taken as positive else taken as negative.Therefore, the sensor is 1.087 m from the lens.
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high heels shoes are more likely to damage floor than flat shoes . do you agree? explain.
Answers
yesssss I am agree ......
Answer:
Yes, I agree. The pressure exerted upon the floor is larger for high heel shoes than flat shoes, hence causing more damage to the floor.
Explanation:
Pressure is force/area. High heel shoes have a sharp point at which they touch the floor, while flat shoes have a flatter surface at which they touch the floor. Due to you exerting the same force anyway, the area is smaller for high heel shoes.
As you might know, the smaller a denominator is, the larger the number is. As an example, 3/1 is larger than 3/2. 3/1 is 3, and 3/2 is 1.5. Hence, the force is larger for high heel shoes, and it will cause more damage.
Hope this helped!
6. A person starts at rest and accelerates at a uniform rate of at 3.2 m/s2 for 3.0 seconds. What distance
does this person cover in that time?
Answers
Answer:
14.4m
Explanation:
u = 0 i.e it started from rest
acceleration (a) = 3.2m/s2
time taken (t) = 3.0s
Using the second equation of motion:
s = ut + 1/2at2
s = 0(3.0) + 1/2(3.2)(3.0)2
s = 1.6(9.0)
s = 14.4m
hence the distance covered within that time is 14.4m.
As the distance from a charged particle, "q", increases, what happens to the electric potential?
it stays the same.
it decreases.
it increases.
Answers
As the distance from a charged particle, "q", increases, the electric potential decreases.
Electric potential between particlesThe electric potential between particles is the work done in moving a unit charge from infinity to a certain point against the electrical resistance of the field.
V = Kq/r
where;
K is Coulomb's constantq is the magnitude of the charger is the distance between the chargesThus, from the formula above, as the distance from a charged particle, "q", increases, the electric potential decreases.
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A hockey player skates across a rink of length 75m in 8.9 seconds. What is the average speed of the hockey player? The hockey player is moving at a speed of 9.5 m/s. If it takes him 2 seconds to come to a stop under constant acceleration, how far does he travel while stopping?
Answers
The average velocity is given by
\(v=\frac{d}{t}\)Where d is the distance covered and t is the time taken.
For the given case, we have
d = 75 m
t = 8.9 s
\(v=\frac{d}{t}=\frac{75}{8.9}=8.43\; \frac{m}{s}\)Therefore, the average speed of the hockey player is 8.43 m/s
The hockey player is moving at a speed of 9.5 m/s.
An aircraft travels a distance of 50km in a straight line
due north in 250 s.
Calculate the aircraft's average velocity in mis
Answers
Answer:
200 m/s
Explanation:
v = distance / time = 50km/250s = 50000m/250s = 200 m/s
Let V be an F-vector space.
a) Show that if SV then (S) = S.
b) Let W. W₂ V. Show that (W₁U W ₂ ) = W₁ + W₂.
Answers
a) If S is a subspace of vector space V, then the span of S, (S), is equal to S itself.
To show that if S⊆V, then (S) = S, we need to prove two inclusions:(i) (S) ⊆ S:
By definition, (S) is the smallest subspace of V that contains S. Since S⊆(S), it follows that every element in S is also in (S). Therefore, S is a subset of (S).(ii) S ⊆ (S):
Let's consider S as a subspace of V. Since S is already a subspace, it satisfies all the properties of a vector space, including closure under scalar multiplication and addition. Therefore, S is a subset of itself.
Combining both inclusions, we conclude that (S) = S.
b)The span of the union of subspaces W₁ and W₂, (W₁ ∪ W₂), is equal to the sum of W₁ and W₂, denoted by W₁ + W₂.
To show that (W₁ ∪ W₂) = W₁ + W₂, we need to prove two inclusions:
(i) (W₁ ∪ W₂) ⊆ W₁ + W₂:
Let's take an element x from (W₁ ∪ W₂). This means that x is an element of either W₁ or W₂ (or both). If x∈W₁, then x is in the subspace W₁, and therefore, it is also in the sum W₁ + W₂. Similarly, if x∈W₂, then x is in the subspace W₂, and hence it is also in the sum W₁ + W₂. Therefore, any element x from (W₁ ∪ W₂) is also in W₁ + W₂, which implies (W₁ ∪ W₂) ⊆ W₁ + W₂.
(ii) W₁ + W₂ ⊆ (W₁ ∪ W₂):
Let's take an element y from W₁ + W₂. By definition, this means that y can be expressed as the sum of an element in W₁ and an element in W₂. Therefore, y is either an element of W₁ or an element of W₂ (or both), and hence y is in the union (W₁ ∪ W₂). Therefore, any element y from W₁ + W₂ is also in (W₁ ∪ W₂), which implies W₁ + W₂ ⊆ (W₁ ∪ W₂).Combining both inclusions, we conclude that (W₁ ∪ W₂) = W₁ + W₂.
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House current is 120 volts. If a light bulb runs a current of 10 amps, what is the resistance?
Answers
Answer:
12 ohms
Explanation:
Ohm's Law tells the relationship between voltage, current, and resistance.
It can be written in three different ways, depending on which ones you know,
and which one you want to find.
Here's the one we need:
Resistance = (voltage) divided by (current)
= (120 V) / (10 Amp)
= 12 ohms .
What type of Energy is an egg that's about to fall out of a nest*
Answers
The consumers of bottled water often do not dispose of the empty plastic bottles responsibly. Millions of throw away plastic water bottles end up in landfills and in the ocean, creating huge environmental damage. The government is constantly engaged in finding solutions to this environmental issue. a. Identidfy the economic concept that will explain the damage created by thrown away empty plastic water bottles. b. Analyse the market situation given above using the economic concept you identified in part a. Hint: explain the relevant economic concept and apply the key aspects of it to the given market situation. c. Describe two solutions available to the government to correct this environmental issue d. Explain how these solutions will correct the given situation.
Answers
The government can address the environmental damage caused by thrown-away plastic water bottles through solutions such as implementing a deposit and return system or imposing taxes, which incentivize responsible behavior, reduce plastic waste, and mitigate negative externalities.
a. The economic concept that explains the damage created by thrown-away empty plastic water bottles is "negative externality."
b. Negative externality occurs when the production or consumption of a good or service imposes costs on third parties who are not involved in the transaction. In this case, the irresponsible disposal of plastic water bottles creates environmental damage, such as pollution in landfills and oceans, affecting society as a whole. It is a market failure because the private cost of producing and consuming bottled water does not include the full social cost of the resulting environmental damage.
The market situation in this context involves a divergence between private and social costs. Consumers of bottled water do not bear the full cost of the environmental damage caused by the improper disposal of plastic bottles. Consequently, the market equilibrium for bottled water fails to account for the negative externalities imposed on society.
c. Two solutions available to the government to correct this environmental issue are:
Implementing a plastic bottle deposit and return system: The government can establish a system where consumers pay an additional deposit fee when purchasing plastic water bottles, which is refunded when they return the empty bottles to designated collection points. This incentivizes consumers to return the bottles for recycling or proper disposal, reducing environmental damage.
Imposing taxes or levies on plastic water bottles: The government can impose taxes or levies on the production or consumption of plastic water bottles. This increases the cost of bottled water, reflecting the social cost of environmental damage. The additional revenue generated from these taxes can be used to fund environmental conservation and recycling programs.
d. These solutions will correct the given situation by internalizing the external costs associated with plastic water bottle consumption. By implementing a deposit and return system or imposing taxes, consumers are incentivized to act responsibly by returning the bottles or opting for alternative packaging options. This reduces the amount of plastic waste in landfills and oceans, mitigating environmental damage.
The deposit and return system encourages recycling and reuse of plastic bottles, reducing the need for new bottle production and decreasing overall plastic waste. The taxes or levies increase the price of bottled water, making alternatives like reusable bottles or tap water more economically attractive. The revenue generated from these taxes can be utilized for environmental initiatives such as recycling infrastructure, public awareness campaigns, and research and development of sustainable packaging materials.
Therefore, by internalizing the negative externalities associated with plastic water bottle consumption, these solutions promote responsible behavior, reduce plastic waste, and mitigate the environmental damage caused by improper disposal.
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the ball is thrown up . the direction of g will be ? 1. vertically downward 2. vertically upward 3. horizontal 4. nine of these
Answers
Answer:
1 because gravity pulls the object down towards the centre of the Earth.
__use coherent light.
Answers
What is the SECOND major step?
O Revising and editing
O Writing a rough draft
O Organizing your essay
O Generating ideas and choosing strategies
Answers
Answer:
O Writing a rough draft
Explanation:
Thats the second step after generating ideas and choosing.
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Gabe is designing a flashlight that uses a parabolic reflecting mirror and a light source. the shape of the mirror can be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. the vertex of the parabola is at the origin. where should gabe place the bulb to ensure a perfect beam of light? (0, 1) (0, 4) (1, 0) (4, 0)
Answers
Gabe should place the bulb to ensure a perfect beam of light at (C) (1,0).
A reflective surface used to gather or project energy like light, sound, or radio waves is known as a parabolic, paraboloid, or paraboloidal reflector, dish, or mirror. Its form is a component of a circular paraboloid or the surface produced by a parabola rotating around its axis.
Suppose the equation of parabolic mirror is Y2 = 4ax
The given data in the problem is x = 1 and y = 2
So the subject value is y2 = 4ax
4 = 4 a (1)
4 = 4a
a = 1
So x = 1
thus focus is at (x, y) = (1,0)
Thus option C is the correct answer.
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Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. She spins the bucket in a vertical circle of radius 1.5 m. You want to find out how fast she must swing the bucket to keep the glass from falling out.
a. Draw the free-body diagram for the glass when it is at the top of the circle.
b. What is the equation for the net force on the glass at the top of the circle in terms of w, FN, m, v, and r?
c. The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. How fast must she spin the bucket to prevent this from happening?
d. The string will break if the tension on it is more than 100 N. Over what range of speeds can she keep the glass in the bucket and prevent the string from breaking?
Answers
a. The free-body diagram for the glass when it is at the top of the circle is attached below.
b. The equation for the net force on the glass at the top of the circle in terms of w, Fn, m, v, and r is mg x g + N - mg x Vtop² /R =0
c. The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. The speed with which she spin the bucket to prevent this from happening is 3.83 m/s.
d. The string will break if the tension on it is more than 100 N. The range of speeds can prevent the string from breaking is 3.83< Vtop<4.99 m/s
What is Net force?When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.
Given, Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. She spins the bucket in a vertical circle of radius 1.5 m. She must swing the bucket to keep the glass from falling out.
a. The free body diagram of the bucket and glass is attached below.
b. Bucket will undergo centrifugal force
Fb = mVtop² /R
From the equilibrium of forces, we have
For bucket,
T +mb xg - N = mb x Vtop² /R..............(1)
For glass,
mg x g + N = mg x Vtop² /R..............(2)
Thus, this is the net force equation on the glass.
c. On adding both the equations. we have
T + (mb + mg) xg = (mb + mg) Vtop² /R
Substituting the values, T = 0 and from the question, we get
0 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)
Vtop = 3.83 m/s
Thus, the speed of spin to prevent glass from falling out is 3.83 m/s
d. The string will break if the tension on it is more than 100 N
100 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)
Vtop = 4.99 m/s
Thus, the range of velocity is 3.83< Vtop<4.99 m/s
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Muscular Endurance is the ability of a muscle to continue to perform without fatigue.
Answers
Answer:
True.
Explanation:
Defenintion of Muscular Endurance:
The ability of a muscle (or set of muscles) to perform a repeated action without tiring.
An object moves at 43m/s with 12018.5J of kinetic energy. Determine the mass of the object.
Answers
Therefore m=2(kinetic energy)/ squared v
M=2(12018.5J)/43x43
M=24,037J/1849m/s
M=13kg
An electron’s position cannot be known precisely. Only its probability of being in a certain location can be known true or false?.
Answers
The exact position of an electron cannot be known. Instead, we can calculate the probability that an electron is in a specific area based on electron cloud model.
What is electron cloud model?
The electron cloud model is a model of an atom in which the atom consists of a small but massive nucleus surrounded by a cloud of rapidly moving electrons.
The electron cloud model says that we cannot know exactly where an electron is at any given time, but the electrons are more likely to be in specific areas.
Thus, the exact position of an electron cannot be known. Instead, we can calculate the probability that an electron is in a specific area based on electron cloud model.
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if most stars are low-mass stars, and low-mass stars typically eject a planetary nebula, why then do astronomers see relatively few planetary nebulae in the sky?
Answers
Although there are no planets in this brilliant gas, it is known as a planetary nebula. Astronomers believe that planetary nebulae are quite common.
why do astronomers only observe a few number of planetary nebulae in the sky?astronomers see so few planetary nebulae in the sky if most stars are low mass stars and low mass stars often expel a planetary nebula? Planetary nebulae grow quickly and soon lose their visibility because to their fading.
What connection exist between planets and planetary nebula?Planetary nebulas, despite their name, have nothing to do with planets. Astronomer William Herschel first noticed them in the 1700s because he thought their blue-green radiance resembled the recently discovered planet Uranus. X-ray and visible images of four planetary nebulas.
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2. A student slides a 0.75 kg textbook across a table, and it comes to rest after
traveling 1.2 m. Given that the coefficient of kinetic friction between the
book and the table is 0.34, use the work-kinetic energy theorem to find
the book's initial speed.
Answers
The book's initial speed = 2.83 m/s
The mass of the textbook, m = 0.75 kg
The final speed of the textbook, v = 0 m/s (Since it comes to rest)
The distance covered by the book, d = 1.2 m
Coefficient of kinetic friction, \(\mu = 0.34\)
The frictional force between the table and the book is calculated as:
\(f_k=-\mu mg\\\\ f_k=-0.34 \times 0.75 \times 9.8\\\\f_k=-2.499N\)
The workdone by the textbook is calculated as:
\(W = Fd\\\\W=2.499(1.2)\\\\W=2.9988J\)
According to the work-kinetic energy theorem:
Workdone by the book = Change in Kinetic energy
\(W = 0.5m(v^2-u^2)\\\\-2.9988=0.5 \times 0.75 \times (0^2-u^2)\\\\-2.99988=-0.375u^2\\\\u^2=\frac{-2.9988}{-0.375} \\\\u^2=7.9968\\\\u=\sqrt{7.9968}\\\\u=2.83m/s\)
The book's initial speed = 2.83 m/s
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How does the lever arm change when you decrease the distance to the nut?
It decreases
It increases
Stays the same
Answers
When you decrease the distance to the nut, the lever arm also decreases. Hence the correct option is "It decreases".
This is because the lever arm is the perpendicular distance between the axis of rotation and the line of action of the force. In this case, the axis of rotation is the nut and the force is applied at a point closer to the nut. As the distance between the force and the nut decreases, the lever arm also decreases.
This relationship between distance and lever arm is important in understanding how levers work. A longer lever arm allows for greater torque or rotational force to be applied with the same amount of force. Conversely, a shorter lever arm requires more force to generate the same amount of torque. By decreasing the distance to the nut, you are effectively shortening the lever arm and therefore reducing the torque that can be applied.
Understanding the relationship between distance and lever arm can be useful in a variety of contexts, such as in engineering, physics, and even sports. It can help in designing more efficient machines or in understanding how to optimize physical movements for maximum performance.
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. What voltage is required to move 2mA through 0.5kΩ?mm DS m. M m m. Feed
Answers
Answer: The voltage required to move a current of 2mA through a resistor with a resistance of 0.5 kΩ can be calculated using Ohm's law, which states that the voltage across a resistor is equal to the current flowing through it multiplied by the resistance:V = I * RV = 2mA * 0.5 kΩV = 1VSo, the voltage required to move 2mA through 0.5 kΩ is 1 Volt.
Find Nash equilibrium in mixed strategies (Simultaneous Move
Game):
L R
U 3,2 2,1
M 2,2 3,3
Answers
The Nash equilibrium in mixed strategies is (P(U), M, Q(L), R).
To find the Nash equilibrium in mixed strategies for a Simultaneous Move Game, we have to use the following steps:
Step 1: Write the payoff matrix for the given game
Step 2: Assume both the players have their mixed strategy
Step 3: Find the probability of playing each action for each player
Step 4: Calculate the expected payoff for each action of a player
Step 5: Equate the expected payoff of all actions and solve the equation to find the probabilities for each action
Step 6: Verify that the strategies are indeed Nash equilibrium.
Strategy of player 1:
Let P(U) be the probability of choosing U and Q(L) be the probability of choosing L by player 2.P(U) + P(M) + P(D) = 1Q(L) + Q(R) = 1
Expected payoffs of player 1's actions:
E(U) = 3P(U) + 2P(M) + 2P(D)E(M) = 2P(U) + 3P(M) + 2P(D)E(D) = 2P(U) + 3P(M) + 1P(D)
Equating the expected payoffs:
3P(U) + 2P(M) + 2P(D) = 2P(U) + 3P(M) + 2P(D)
= 2P(U) + 3P(M) + 1P(D)
= v => 3P(U) - 2P(M)
= -2P(D) + v => 2P(M) - 3P(U)
= -2P(D) + v => 2P(M) - 3P(U)
= P(D) + 2v => P(D)
= 2P(M) - 3P(U) - 2v
Now we have three equations and three unknowns.
Solving these equations, we get
P(U) = 7/12P(M)
= 5/12P(D)
= 0
Similarly, we can find the strategy of player 2
Q(L) = 5/12Q(R)
= 7/12
Now we can write the strategy profile (P(U), M, Q(L), R) as the Nash equilibrium in mixed strategies.
Answer: The Nash equilibrium in mixed strategies is (P(U), M, Q(L), R).
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The four laws of liquid pressure
Answers
Answer:
1-The liquid pressure is same at all points lying on the same horizontal plane in a stationary liquid.
2-The liquid pressure at a point inside the liquid is same in all directions.
3-The liquid pressure at a point inside the liquid is directly proportional to the depth of that point from the free surface of liquid.
4-The pressure of liquid at same depth is different for different liquids. It is directly proportional to density of liquid. That is, for same depth the liquid pressure is larger for liquid of larger density.
Explanation:
what is the velocity of the electron at infinity?
Answers
Substituting the values you get that v is 2.18 x 106 ms-1.
One way you can change the sound of something is to increase or decrease its frequency. Which of the graphs below shows how Graph 1 would change if you increased only the frequency of the wave?
Graph A
Graph B
Graph C
Answers
Answer:
C
Explanation:
frequency is the number of wave-crests that pass a fixed point per second. Graph C shows a higher frequency wave (amplitude is the same as Graph 1).
How many protons, neutrons, and electrons are there, respectively, in an atom of o-17?.
Answers
In an atom of O-17, proton and electron is 8, and neutrons is 9.
The atomic number, sometimes referred to as nuclear charge number, of a chemical element is the charge number of an atomic nucleus. For conventional nuclei, this is comparable to the proton number, or the number of protons found in the nucleus of each atom of that element.The atomic number of oxygen is 8. Therefore, an atom needs 8 protons in order to be referred to as an oxygen atom. For instance, an atom will no longer be oxygen if it has 9 protons and will now be fluorine. Any atom that lacks 8 protons is not an oxygen atom. For an atom to be neutrally charged, the number of protons and electrons within it must match. Therefore, there should be 8 electrons in all. However, depending on the isotope, the neutron count can change. An oxygen isotope is a distinct variety of oxygen. For instance, oxygen-15, which has 7 neutrons, is a possibility. The neutron count for oxygen-16 would be 8, for oxygen-17 it would be 9, and so on.Learn more about the quantum mechanics with the help of the given link:
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The starting position is 0m. The starting velocity is 30m/s. Time is given as 2.5s. What is the final position of the object?
Answers
Answer:
Final position: 75m
Explanation:
Just multiply 30 by 2.5
A 221-gram ball is thrown at a speed of 36.7 m/s from the top of a 39.8-m high cliff. Determine the impact speed of the ball when it strikes the ground. Assume negligible air resistance.
Answers
Given:
The mass of the ball is
\(\begin{gathered} m=221\text{ g} \\ =0.221\text{ kg} \end{gathered}\)The initial height of the ball is
\(h=39.8\text{ m}\)The initial speed of the ball is
\(v_i=36.7\text{ m/s}\)To find:
the impact speed of the ball when it strikes the ground
Explanation:
The initial potential energy of the ball is
\(\begin{gathered} (PE)_i=mgh \\ =0.221\times9.8\times39.8 \\ =86.2\text{ J} \end{gathered}\)The initial kinetic energy is
\(\begin{gathered} (KE)_i=\frac{1}{2}mv_i^2 \\ =\frac{1}{2}\times0.221\times(36.7)^2 \\ =148.8\text{ J} \end{gathered}\)The final energy of the ball is fully kinetic energy. Let the final impact speed of the ball is
\(v_f\)We can write, using the energy conservation principle that
\(\begin{gathered} (PE)_i+(KE)_i=\frac{1}{2}mv_f^2 \\ 86.2+148.8=\frac{1}{2}\times0.221\times v_f^2 \\ v_f^2=2\times\frac{86.2+148.8}{0.221} \\ v_f=46.1\text{ m/s} \end{gathered}\)Hence, the final impact speed of the ball is 46.1 m/s.