Which of the following relationships is correct?
2 points
1 N = 1 kg
1 N = 1 kg·m
1 N = 1 kg·m/s
1 N = 1 kg·m/s2
An owl has a mass of 4 kg. It dives to catch a mouse, losing 800 J of its GPE. What was the starting height of the owl, in meters?
The owl started out at a height of about 3.2 metres.
What is gravity?Gravity is the force that draws objects toward the center of a planet or other object.
How do you determine this?Gravitational potential energy (GPE) is calculated as follows:
GPE = mass x gravity x height. Since we are aware of the owl's mass (4 kg) and the change in GPE (-800 J) in this case, we can rewrite the formula to account for the height: tallness = GPE / (mass x gravity).
On Earth, the acceleration caused by gravity is roughly 9.8 m/s2.
By entering the known numbers, we obtain the height change as follows: -800 J / (4 kg x 9.8 m/s2) = -0.408 metres.
By combining the ultimate height (which is believed to be 0 metres) with the height change, we may get the initial height as follows: 0 m + (-0.408 m) = -0.408 m = 0.408 m = 3.2m.
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an 8.3 kg mass is attached to a string that has a breaking strength of 1500 N. If the mass is whirled in a horizontal circle of radius 80 cm, what maximum speed can it have?
Answer:
To determine the maximum speed that the 8.3 kg mass can have without breaking the string, we need to consider the tension in the string when it reaches its maximum. At maximum speed, the tension in the string will be equal to the breaking strength of the string.
Given:
Mass (m) = 8.3 kg
Breaking strength of the string (Tension) = 1500 N
Radius of the circle (r) = 80 cm = 0.8 m
The centripetal force required to keep an object moving in a circular path is given by the formula:
F = m * v² / r
Where:
F = Centripetal force
m = Mass
v = Velocity
r = Radius
In this case, the centripetal force is provided by the tension in the string. So we have:
Tension = m * v² / r
Plugging in the values:
1500 N = (8.3 kg) * v² / 0.8 m
To find the maximum speed (v), we can rearrange the equation and solve for it:
v² = (1500 N * 0.8 m) / 8.3 kg
v² ≈ 144.58 m²/s²
v ≈ √(144.58 m²/s²)
v ≈ 12.03 m/s
Therefore, the maximum speed that the 8.3 kg mass can have without breaking the string is approximately 12.03 m/s.
Explanation:
A sound wave is traveling with a frequency of 880Hz. It has a wavelength of 0.75. What is the speed of the sound wave
The speed of the sound wave is 660 meters per second.
To calculate the speed of the sound wave, we need to use the formula:
Speed = Frequency x Wavelength
Here, the frequency of the sound wave is given as 880Hz, and the wavelength is given as 0.75. To get the answer, we just need to plug these values into the formula and solve for the speed:
Speed = 880 x 0.75
Speed = 660 meters per second
It's important to note that the speed of sound depends on the medium through which it is traveling. In air, the speed of sound is approximately 343 meters per second at standard temperature and pressure. However, this value can change depending on factors such as temperature, humidity, and altitude.
Understanding the speed of sound is important in various fields, such as music, engineering, and physics. For example, in music, the speed of sound determines the pitch of a note, while in engineering, it can be used to design and optimize acoustic systems. In physics, it's used to study the properties of waves and to explain phenomena such as Doppler effect and sonic booms.
Therefore, the speed of the sound wave is 660 meters per second.
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Assume that the body's muscle mechanism can be approximated by a spring with a uniform continuous mass distribution that follows Hooke's law. Concerning this,
A) find the effective mass of the spring with mass m.
Then, estimate the potential energy which can be mechanically stored in B) the muscles of each arm, and
C) the muscles of each leg,
and estimate the spring constant of
D) each arm muscles, and
E) each leg muscle.
F) Now, could estimate the speed of a runner by using these results?
Based on Hooke's law, the spring constant of the the body's muscle mechanism is the ratio of force to extension, the effective mass is m/3 and the potential energy that can be stored is ke^2 / 2.
What is the spring constant?The spring constant or stiffness constant of an elastic spring is constant which describes the extent a bit forceapplied to an elastic spring will extend it.
Spring constant, K = force/extensionAssuming, a body's muscle mechanism is a spring obeying Hooke's law, the effective mass of the spring with mass m is 1/3 of the mass of the spring = m/3
The potential energy that can be stored = ke^2 / 2
where K is spring constant and e is the extension produced.
Therefore, the spring constant of the the body's muscle mechanism is the ratio of force to extension, the effective mass is m/3 and the potential energy that can be stored is ke^2 / 2.
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what causes heat flow
Answer:
Heat flow is the movement of heat.
Explanation:
Heat flows in solids by conduction, which occurs when two objects in contact with each other transfer heat between them. That happens because the molecules hit each other, and the faster moving molecules in the hot object spread that energy into the cooler object
Credit to, https://study.com/academy/lesson/heat-flow-in-solids-fluids.html
How is energy transferred when
hitting a nail?
Answer:
kinetic energy
kinetic energy
if something is frictionless does it have thermal energy
Answer:
No
Explanation:
because there is no pressure
What is a statement ?
On a hike you walk 5000 m east, 3000 m north and 1000 m west at a constant speed of 1m/s calculate your velocity
Answer:
0.44 EST + 0.33 NTH
Explanation:
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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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ghghghghghg gh gh gh gh gh gh
Answer:
Explanation:
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what do you call igneous rocks that form when magma cools
Answer:
extrusion or volcanic
Explanation:
Answer:
The igneous rocks that form when magma cools is magmatic rocks
A child rows a rowboat north across a creek at 15 m/s. The creek flows east at 7
m/s.
What is the magnitude of the resultant velocity?
Answer:
16.55m/s
Explanation:
If a child rows a rowboat north across a creek at 15 m/s and creek flows east at 7
m/s. the magnitude of the resultant velocity is gotten using pythagoras theorem as shown
R² = 15²+7²
R² = 225+49
R² =274
R = √274
R = 16.55m/s
Hence the magnitude of the resultant velocity is 16.55m/s
The total quantity of an economy's final goods and services demanded at different inflation rates is
A) the aggregate supply curve.
B) the aggregate demand curve.
C) the Phillips curve.
D) the aggregate expenditure function.
The total quantity of an economy's final goods and services demanded at different inflation rates is the aggregate demand curve.
What is the aggregate demand curve?
The total amount spent in an economy on domestic goods and services is known as aggregate demand, or AD. AD is technically what economists refer to as total planned expenditure. Consider aggregate demand to be total spending for the time being; we'll go into more detail about it in later articles.
All four elements of demand are included in aggregate demand:
ConsumptionInvestmentFederal spendingNet exports are imports less exports.The price level is one of several variables that affect this desire. The entire amount spent on domestic products and services at each price level is displayed on an aggregate demand curve.
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a metal rod is 1 m long at 20 degree celsius & 0.005 long at 40 degree celsius.what is the length of the rod at 60 degree celsius?
The length of the rod at 60 degree Celsius is 1.010025m.
What is the coefficient of linear expansion?It defines the material's property of expanding when temperature is increased.
The change in length related to the coefficient of linear expansion is given by
ΔL = αLΔT
where ΔT is the change in temperature, L is the original length and ΔL is the change in length.
Substitute the values from question, we get the coefficient of linear expansion as
α = ΔL /LΔT
α = (1.005-1) / 1 x(40-20)
α= 2.5 x 10⁻⁴ /°C
Length at 60°C, L' =1.005 [1 + 2.5 x 10⁻⁴x (60-40)]
L' = 1.010025 m
Thus, the length at 60°C is 1.010025 m
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if the mass of an object were doubled, its weight would be
Weight of a body is defined as the force with which it is attached to the earth.
mass is the total quantity of matter present.
the weight of something is given as mass * acceleration
weight of an object is directly proportional to the mass of the object. so, if mass doubles, weight will also double.
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A car starts at a position of 1 km and moves to a final position of -3 km. What is the total distance traveled by the car?
The total distance covered by the car is 4 kilometers, this is because we are taking into account displacement and not just distance.
What is displacement?Displacement is defined as the change in the position of an object while distance is an object's overall movement in a directionless fashion.
There are many different units that can be used to measure distance (inches, feet, miles, kilometers, and centimeters), but the meter is the SI unit. It is a scalar amount because it does not consider
On the number line, we can see the movement as follows
1 0 -1 -2 -3= 4km
Distance is always positive and never gets smaller as you move. Displacement can be negative, positive, or zero because it refers to the change in the position of an object with respect to its original location.
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Do wave properties affect wave speed
Answer:
Nope!
Explanation:
The amplitude of a wave does not affect the speed at which the wave travels. Both Wave A and Wave B travel at the same speed. The speed of a wave is only altered by alterations in the properties of the medium through which it travels.
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A car accelerates uniformly from rest to a speed of 10 meters per second in 2 seconds.
The acceleration of the car is?
The acceleration with which the car uniformly increases its speed from zero to the given speed is 5m/s².
Given the data in the question
Since the car was initially at rest
Initial velocity; \(u = 0m/s\)Final velocity; \(v = 10m/s\)Time taken; \(t = 2s\)Acceleration of the car; \(a = \ ?\)
Using the First Equation of Motion:
\(v = u + at\)
Where u is the initial velocity, v is the final velocity, a is the acceleration and t is the time taken.
We substitute our given values into the equation and solve for "a"
\(10m/s = 0m/s\ +\ ( a * 2s ) \\\\10m/s = a * 2s\\\\a = \frac{10m/s}{2s}\\\\a = 5m/s^2\)
Therefore, the acceleration with which the car uniformly increases its speed from zero to the given speed is 5m/s².
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The image shows mountains in Alaska.
Which describes the main feature of the circled area of these mountains?
A syncline is visible.
An anticline is visible.
These mountains show no evidence of folding.
These mountains likely formed from normal faults
Answer:
A syncline is visible.
Explanation:
A syncline is visible.
Answer:
These mountains show no evidence of folding.
Light of wavelength 476.1 nm falls on two slits spaced 0.29 mm apart. What is the required distance from the slits to the screen if the spacing between the first and second dark fringes is to be 4.2 mm?
Answer:
The distance is \(D = 2.6 \ m\)
Explanation:
From the question we are told that
The wavelength of the light is \(\lambda = 476.1 \ nm = 476.1 *10^{-9} \ m\)
The distance between the slit is \(d = 0.29 \ mm = 0.29 *10^{-3} \ m\)
The between the first and second dark fringes is \(y = 4.2 \ mm = 4.2 *10^{-3} \ m\)
Generally fringe width is mathematically represented as
\(y = \frac{\lambda * D }{d}\)
Where D is the distance of the slit to the screen
Hence
\(D = \frac{y * d}{\lambda }\)
substituting values
\(D = \frac{ 4.2 *10^{-3} * 0.29 *10^{-3}}{ 476.1 *10^{-9} }\)
\(D = 2.6 \ m\)
A railroad car of mass 2.45 104 kg is moving with a speed of 3.96 m/s. It collides and couples with three other coupled railroad cars, each of the same mass as the single car and moving in the same direction with an initial speed of 1.98 m/s. (a) What is the speed of the four cars after the collision
Answer:
2.475m/s
Explanation:
The computation of speed of the four cars after the collision is shown below:-
Now we will say that as per the law of conservation of momentum, the initial and the final momentum of cars is having same masses before and after collision is same and the equation will be
\({m_1u_1 + m_2u_2 + m_3u_3 + m_4u_4}\) = \((m_1 + m_2 + m_3 + m_4) v\)
\(v = \frac{m_1u_1 + m_2u_2 + m_3u_3 + m_4u_4}{(m_1 + m_2 + m_3 + m_4)}\)
\(= \frac{u_1 + u_2 + u_3 + u_4}{4}\)
\(= \frac{3.96m/s + 1.98m/s + 1.98m/s + 1.98m/s}{4}\)
= 2.475m/s
Therefore we simply applied the above formula to reach out the speed of the four cars after the collision.
13. If the supply of gasoline rises, name a substitute that will increase in demand? 14. How do you think each of the following affected the world price of oil? List if it will effect supply or demand, and the price change if any. Use basic supply and demand analysis. a. Tax credits were offered for expenditures on home insulation. b. The Alaskan oil pipeline was completed. c. Oil was discovered in Mexico and the North Sea. d. Sport Utility Vehicles and minivans became popular. e. Natural oil reserves became depleted
13. If the supply of gasoline rises, a substitute that may increase in demand could be electric or hybrid vehicles.
14. Here is how each of the following events may have affected the world price of oil using basic supply and demand analysis:
a. Tax credits offered for expenditures on home insulation would likely decrease the demand for oil as people would use less energy to heat their homes. This would lead to a decrease in the price of oil.
b. The completion of the Alaskan oil pipeline would increase the supply of oil, leading to a decrease in the price of oil.
c. The discovery of oil in Mexico and the North Sea would increase the supply of oil, leading to a decrease in the price of oil.
d. The popularity of Sport Utility Vehicles and minivans would increase the demand for oil as these vehicles typically consume more gasoline than smaller cars. This would lead to an increase in the price of oil.
e. The depletion of natural oil reserves would decrease the supply of oil, leading to an increase in the price of oil.
Suppose a boat moves at 14.2 m/s relative to the water. If the boat is in a river with the current directed east at 2.70 m/s, what is the boat's speed relative to the ground when it is heading east, with the current, and west, against the current? (Enter your answers in m/s.)
Answer:
3.72 m/s
Explanation:
A fish appears to be 2.00 m below the surface of a pond when viewed almost directly above by a fisherman. What is the actual depth of the fish
Answer:
2,66
Explanation:
The refractive index= real depth/ apparent depth
real depth = refractive index * apparent depth
Let's assume index for water is 1.33
real depth = 2*1,33 = 2,66
Determine the Universal Gravitational Constant (G).
Answer:
G = 6.6675 x \(10^{-11}\) N\(m^{2}\)/\(kg^{2}\)
Explanation:
From Newton's law of universal gravitation,
F = \(\frac{GMm} {r^{2} }\) .................. 1
Where F is the force of attraction, G is the universal gravitation constant, M is the mass of a massive object e.g earth, m is the mass of the smaller object e.g moon, r is the radius of the massive object.
Newton's second law states;
F = mg ................... 2
F is the force, m is the mass of the object and g is the gravitational force on the object.
Equating equations 1 and 2 gives;
mg = \(\frac{GMm} {r^{2} }\)
So that;
g = \(\frac{GM}{r^{2} }\)
⇒ G = \(\frac{gr^{2} }{M}\)
where: g = 9.81 m/\(s^{2}\), r = 6371 km, M = 5.972 x \(10^{24}\) kg.
G = \(\frac{9.81*(6371000)^{2} }{5.972*10^{24} }\)
= \(\frac{3.98184*10^{14} }{5.972*10^{24} }\)
= 6.6675 x \(10^{-11}\) N\(m^{2}\)/\(kg^{2}\)
The Universal Gravitational Constant (G) is 6.6675 x \(10^{-11}\) N\(m^{2}\)/\(kg^{2}\).
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The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons
The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)
Why the electron number cannot be used instead?The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.
This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.
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What kind of waves can travel through empty space or a vacuum?
A.Sound
B.Light
C.Frequency
D.Wavelength
Answer:
the answer is B.
Answer:
light
Explanation:
you can see stuff in space but cant hear it
Which of the following objects is accelerating?
Answer: A flower pot falling
Explanation:
The car on the curve (its direction is changing) and the falling flower pot (its speed is changing) are both undergoing acceleration.