Answer:
40m/s
Explanation:
v²=u²+2as
v²=0²+2(16)(50)
v²=160v=40m/s
5. A projectile is fired in Earth's gravitational field with a horizontal velocity of y = 9.00 m/s.
b. How far does the projectile fall in the vertical direction in 0.550 s?
Answer:
4.13mExplanation:
Given
Horizontal velocity = 9.00m/s
time taken = 0.550 s
Required
How far does the projectile fall in the vertical direction
Using the formula for finding the maximum height of the projectile
H = U²sin²θ/2g where;
U = 9.00m/s
θ = 90° (object launched in the vertical direction)
g = 9.81m/s²
Substituting the given parameters into the formula;
H = 9²sin²90/2(9.81)
H = 81(1)/19.62
H = 81/19.62
H = 4.128 m
H ≈ 4.13m
Hence the distance that the projectile fall in the vertical direction is 4.13m
Question 15 of 32
A bungee jumper jumps off a bridge and bounces up and down several times.
She finally comes to rest 30 m below the bridge from which she just jumped.
If her mass is 50 kg and the spring constant of the bungee cord is 10 N/m,
how much energy was lost due to air resistance while she was bouncing?
(Recall that g = 9.8 m/s²)
A. 7330 N
B. 9200 N
C. 10,200 N
D. 8605 N
C. 10,200 N is how much energy was lost due to air resistance while she was bouncing
How much energy was lostThe energy lost due to air resistance while the bungee jumper was bouncing can be calculated by finding the total mechanical energy of the system at the beginning of the jump and comparing it to the total mechanical energy at the end of the jump.
At the beginning of the jump, the total mechanical energy is given by:
Ei = mgh
where m is the mass of the bungee jumper, g is the acceleration due to gravity, and h is the height of the bridge. Therefore, at the beginning of the jump:
50 x 30 x 10 - 1/2 x 30^2 x 10
= 15000 - 4500
= 10,200 N
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Question on file. Question
The speed of the block when it reaches marker 1 is given by √(v₀² + 2aL).
The block spends (-v₀ + √(v₀² + 8aD)) / (2a) seconds between marker 1 and marker 2.
How to determine speed and time?Part A:
To determine the speed of the block when it reaches marker 1, use the equations of motion. The block starts with an initial speed of v0 and experiences a constant deceleration of magnitude a.
Using the equation of motion:
v₁² = v₀² + 2aΔx
where v₁ = speed at marker 1, v₀ = initial speed, a = acceleration, and Δx = distance traveled.
Since the block slows down, the final speed v₁ at marker 1 is less than the initial speed v₀. The distance traveled from the initial position to marker 1 is L.
Therefore, the equation becomes:
v₁² = v₀² + 2aL
Taking the square root of both sides:
v₁ = √(v₀² + 2aL)
So the speed of the block when it reaches marker 1 is given by √(v₀² + 2aL).
Part B:
To determine the time the block spends between the two markers, use the equation of motion:
Δx = v₀t + (1/2)at²
where Δx = distance between marker 1 and marker 2, v₀ = initial speed, a = acceleration, t = time, and t = time between the two markers.
Since the block slows down, the final speed at marker 2 is 0. Therefore, the distance between marker 1 and marker 2 is D.
The equation becomes:
D = v₀t + (1/2)at²
Rearranging the equation:
at² + v₀t - 2D = 0
This is a quadratic equation in t. Solve it using the quadratic formula:
t = (-v₀ ± √(v₀² + 8aD)) / (2a)
Since the block slows down, the time between the two markers is the positive root of the quadratic equation:
t = (-v₀ + √(v₀² + 8aD)) / (2a)
So the block spends (-v₀ + √(v₀² + 8aD)) / (2a) seconds between marker 1 and marker 2.
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what is the shape of the path that light takes
what evidence do you have?
2. Express the following in SI units a) 0.009 cm? b) 25 km
Answer:
a).
S.I units of length is meters. So we've to change cm → m
\({ \rm{1 \: cm \: \dashrightarrow \: 0.01 \: m}} \\ { \rm{0.009 \: cm \: \dashrightarrow \: (0.009 \times 0.01)}} \\ \\ = { \underline{ \rm{ \: \: 0.00009 \: m \: \: }}}\)
b).
km → m
\({ \rm{1 \: km \: \dashrightarrow \: 1000 \: m}} \\ { \rm{25 \: km \: \dashrightarrow \: (25 \times 1000)}} \\ \\ = { \underline{ \rm{ \: \: 25000 \: m \: \: }}}\)
In the figure, an object of mass m moves a distance of 8.0 m on a rough horizontal surface. During this motion the speed changes from 9.0 m/s to 2.0 m/s. What is the coefficient of kinetic friction between the object and the rough surface? m |____ |_____________________
←--------- 8.0 m -------→
a) The angular velocity of the turntable after 0.200 s is 0.430 rev/s. b) the turntable has spun through 0.0088 revolutions in this time interval. c) the tangential speed of a point on the rim of the turntable at t = 0.002 s is 0.094 m/s.
The coefficient of kinetic friction between the object and the rough surface is 0.083. We can use the work-energy principle to solve this problem. According to the principle, the work done by all forces acting on an object is equal to the change in its kinetic energy.
The work done by the force of friction is given by W_friction = -f_k * d, where f_k is the force of kinetic friction and d is the distance traveled. The change in kinetic energy of the object is given by ΔK = K_f - K_i = (1/2) * m * v_\(f^2\) - (1/2) * m * v_\(i^2.\)
Since the object is moving on a horizontal surface, the work done by gravity is zero. Therefore, we have W_friction = ΔK.
Substituting the given values, we get:
-f_k * d = (1/2) * m * v_f^2 - (1/2) * m * v_\(i^2\)
-f_k * 8.0 m = (1/2) * m * (2.0 \(m/s)^2\) - (1/2) * m * (9.0\(m/s)^2\)
Simplifying and solving for f_k, we get:
f_k = (m/8.0 m) * [(1/2) * (2.0 \(m/s)^2\)- (1/2) * (9.0 \(m/s)^2\)]
f_k = 0.813 \(m/s^2\)
The coefficient of kinetic friction is given by μ_k = f_k / N, where N is the normal force. Since the object is moving horizontally, the normal force is equal to the weight of the object, which is N = m * g, where g is the acceleration due to gravity.
Substituting the value of f_k and N, we get:
μ_k = f_k / N = 0.813 \(m/s^2\) / (m * g)
The value of g is approximately 9.8 \(m/s^2\). Therefore, the coefficient of kinetic friction is:
μ_k = 0.083
Therefore, the coefficient of kinetic friction between the object and the rough surface is 0.083.
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The cycling of the air is a natural phenomenon as shown above is the result of
Answer:
natural convection
............
Drag the moon to various locations in order to determine the quantitative effect of distance upon the gravitational force. Examine the effect of doubling, tripling and quadrupling the distance of separation (as measured from planet's center). Consider the planet's surface to be a distance of one Earth-radius (1 Rplanet). Use the table at the right to record data for whole-number multiples of Rplanet. Use your data to complete the following sentences. If the separation distance between the moon and the planet is ...
Answer: ?? what moon are you talking about that i have to drag to various locations???
Explanation:
What are the characteristics of supernovae?
release of matter and energy
provide new material for future solar systems
move on to form a black hole or neutron star
might be seen from earth
Answer:
c
Explanation:
A figure skater glides along a circular path of radius 3.93 m. (a) If she coasts around one half of the circle, find the magnitude of the displacement vector. (b) If she coasts around one half of the circle, find what distance she skated. (c) What is the magnitude of the displacement if she skates all the way around the circle?
The magnitude of the displacement vector refers to the length or amount of the displacement vector. Displacement is the change in position of an object. Displacement is a vector quantity, which means it has both magnitude and direction. In this question, a figure skater is gliding along a circular path of radius 3.93 m.
If she coasts around one half of the circle, we have to find the magnitude of the displacement vector. The figure skater is gliding along a circular path of radius 3.93 m. If she coasts around one half of the circle, then her final and initial position is on the same point. Therefore, the magnitude of the displacement vector is zero. Distance Skated Distance refers to the length covered by an object or an individual. In this question, the figure skater is gliding along a circular path of radius 3.93 m. If she coasts around one half of the circle, we have to find what distance she skated. The distance covered by an object or individual is determined by the formula:Distance = Circumference/2Given that the radius of the circle is 3.93 m, then:Circumference of the circle = 2πr= 2 × 3.14 × 3.93= 24.7 m.Therefore, the distance covered by the figure skater around half of the circle = 24.7 m/2 = 12.35 m. Therefore, she skated 12.35 m.Magnitude of DisplacementIf the figure skater skates all the way around the circle, then she covers the entire circumference of the circle. Therefore, the magnitude of the displacement vector is the same as the circumference of the circle, which is given as:Circumference of the circle = 2πr= 2 × 3.14 × 3.93= 24.7 mTherefore, the magnitude of the displacement vector when the figure skater skates all the way around the circle is 24.7 m.For such more question on magnitude
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A refrigerator using 1005 W runs one-third of the time. How much does the electricity cost to run the refrigerator each month (30 days) at 19¢ per kWh?answer in:____$
We are asked to calculate the cost to run a 1005 W refrigerator over one-third of 30 days.
To do that we will first convert the 1005W into kW using the following conversion factor:
\(1kW=1000W\)Multiplying by the conversion factor we get:
\(1005W\times\frac{1kW}{1000W}=1.005kW\)Now, we multiply the kW by the number of hours. Since the refrigerator operates one-third of the time during a 30 days period, this means that the time of operation is 10 days. We convert days into hours using the following conversion factor:
\(24h=1day\)Multiplying by the conversion factor we get:
\(10days\times\frac{24h}{1day}=240h\)Multiplying by the power we get:
\(E=(1.005kW)(240h)=241.2kWh\)Now, to determine the cost we multiply by the cost per kWh:
\(C=(241.2kWh)(0.19\frac{dollars}{kWh})=45.83\)Therefore, the cost is $45.83
The study of heat is ____?
Explanation:
thermodynamics is the study of heat.
Answer The study of heat and its relationship to useful work is called thermodynamics and involves macroscopic quantities such as pressure, temperature, and volume without regard for the molecular basis of these quantitie
Explanation:
How is temperature related to heat
Answer:
heat is the total energy of the motion of the molecules inside the object or particle, whereas Temperature is merely a measure of this energy. The relationship could be, the more heated an object is there higher the temperature the object will have.
Explanation:
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bernouli’s equation is only for fluids that have :
A- low viscosity, incompressible with turbulent flow
B- high viscosity, compressible and streamline flow
C- low viscosity, compressible and turbulent flow
D- low viscosity, incompressible and streamline flow
E- none of the above
Answer:Bernoulli developed his principle from observations on liquids, and Bernoulli's equation is valid for ideal fluids: those that are incompressible, irrotational, inviscid, and subjected to conservative forces.
Explanation:
what exercises most beneficial for your overall health
Answer:
Endurance, or aerobic
Strength, or resistance training
Balance
Flexibility
Explanation:
Answer:
Walking. Walking is simple, yet powerful. It can help you stay trim, improve cholesterol levels, strengthen bones, keep blood pressure in check, lift your mood, and lower your risk for a number of diseases (diabetes and heart disease, for example).
draw diagram of how a reflecting telescope works. show how the angles of reflection would work with mirrors placed at 2 different angles
Lenses, which are pieces of curved, clear glass, were employed in early telescopes to focus light.
What is Telescope?Curved mirrors are used by the majority of telescopes nowadays to collect light from the night sky. Light is focused by a telescope's mirror or lens' shape.
Astronomers use a telescope to observe distant things. Curved mirrors are used by the majority of telescopes, including all large telescopes, to collect and concentrate light from the night sky.
The original telescopes employed lenses, which are simply curved pieces of clear glass, to focus light. The "optics" of a telescope are the mirrors or lenses. Strong telescopes may view objects that are extremely faint and incredibly far away.
Therefore, Lenses, which are pieces of curved, clear glass, were employed in early telescopes to focus light.
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What is an example illustrating gravitational potential energy transforming into kinetic energy?
Answer:
A. a hammer dropped off a roof accelerates as it falls.
Explanation:
The example that illustrates gravitational potential energy transforming into kinetic energy is a hammer dropped off a roof accelerating as it falls.
Gravitational potential energy is the energy due to the position of a body.
A hammer held up at roof level has a measure of gravitational potential energy.
As it drops and begins to accelerate, the energy is converted to kinetic energy. Kinetic energy is the energy due to the motion of a body.
The acceleration due to gravity causes the body to move.
So, the gravitational potential energy is converted to kinetic energy.
in 1977 steve weldon ate 91 m of spaghetti in 29 s. at the same speed, how long would it take Mr. weldon to eat 5 m of spaghetti?
The time that would be taken is 1.6 s.
What is the speed?We know that the speed would be the ratio of the distance to the time that have been taken and that is how we would be able to solve the problem that we have in the case that is ahead of us in this question
We have that the speed is; Distance/Time
= 91 m/29s
= 3.1 m/s
At the same speed;
Time = Distance/Speed
= 5 m / 3.1 m/s
= 1.6 s
Hence we k now that the spaghetti would be able to take a time that is about 1.6 s
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Distinguishing Types of Mirrors
Light is coming from the left; which is a concave mirror?
A concave mirror is a converging mirror while a convex mirror is a diverging mirror.
Curved mirrorsCurved mirrors are different from plane mirrors because they have a center of curvature. The image formed by each type of mirror depends on the position of the object.
There are two types of curved mirrors;
Converging mirrorDiverging mirrorA concave mirror is a converging mirror while a convex mirror is a diverging mirror. The images are not provided here so we can not really say which is which.
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Answer:
Its is the third one facing left
Explanation:
edge2020
a) Define the Inverse Square Law and show that the field strength, E of a single charge Q acting on a test charge Q at a distance x from it along its field is given by
(b) A circuit consists of a variable resistor R connected in series with an ammeter and a cell. A voltmeter is connected in parallel across the variable resistor R. the cell is of e.m.f E and internal resistance r. For a certain value of R, the voltmeter reads 4V and the ammeter reads 1A. When R is adjusted, the voltmeter reads 2V and the ammeter reads 2.5A. Draw the circuit diagram and calculate the values of E and r.
a. The Inverse Square Law states that the intensity or strength of a physical quantity decreases with the square of the distance from its source.
b. The values of E and r in the given circuit are: E = 4V (e.m.f. of the cell) and r = ∞
How to explain the informationa. In the context of electrostatics, the Inverse Square Law describes the relationship between the electric field strength and the distance from a charged particle.
b. For the first scenario (V = 4V and I = 1A), we have:
4V = 1A * R1,
R1 = 4Ω.
For the second scenario (V = 2V and I = 2.5A), we have:
2V = 2.5A * R2,
R2 = 0.8Ω.
Total resistance in the circuit (when ammeter reads zero current) is given by:
= R1 + R2 + r.
Since the ammeter reads zero current, we have:
E = I * R_total,
4V = 0A * R_total,
R_total = ∞ (infinity).
Therefore, we can conclude that the internal resistance r of the cell is infinite (or very high compared to the resistances in the circuit).
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How is the wavelength of a sound affected when (a) a sound source moves toward a stationary observer and (b) the observer moves away from a stationary sound source
Answer:
If the observer is stationary but the source moves toward the observer at a speed vs, the observer still intercepts more waves per second and the frequency goes up. This time it is the wavelength of the wave received by the observer that is effectively shifted by the motion, rather than the speed.
Three particles having charges of equal magnitude q are fixed at the conrners of an equilateral triangle as shown. two of the charges are negative: the other is positive. which of the following vectors best represents the direction of the resultant electric field at point p, the center of the triangle?
Vector B of the following vectors best represents the direction of the resultant electric field at point p, the center of the triangle.
What is vector?A quantity or phenomenon that has two independent properties i.e magnitude and direction is named as vector.
At the middle, where it is zero, one can see that the three charges each produce cancelling fields thanks to symmetry.In addition to the triangle's center, the second panel of the picture shows three additional sites in the middle of each triangle leg where E=0, however they are more challenging to calculate analytically.Adding the electric field vectors resulting from each of the two lower point charges will yield the electric field at point P.
E = E1+ E2.
According to the bottom panel of the picture, a point charge's electric field has the formula E = kr2qr.
E =k ea2q uphill and to the right at 60, and E2 =kea2q upward and to the left at 60.
Therefore, E= E1 + E2 = kea2q[(cos60i+sin60j) + (cos60i+sin60j)] = kea2q[2(sin60j)
= 1.73kea2qj. i.e vector B
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Consider two vectors, what is the magnitude of |A-B|
The magnitude of |A-B| is given by √{A²+B²-2ABcosθ}.
What is vector?In physics, a vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity.
A vector does not have position, while having magnitude and direction. In other words, a vector's shape is unaltered if it is shifted parallel to itself as long as its length is unaltered.
Let consider two vector \(\vec{A}\) and \(\vec{B}\) and angle between them is θ, then the magnitude of |A-B| is given by = √{A²+B²-2ABcosθ}
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Which TWO statements describe the ocean floor giving brainliest please help
Answer:
A and B.
Explanation:
Answer C is wrong - there are no tall trees underwater
Answer D is wrong, there are mountain chains underwater due to plate tectonics.
when is mechanical energy conserved
Mechanical energy is conserved in a closed system when there are no external forces acting upon it.
According to the principle of conservation of mechanical energy, the total amount of mechanical energy, which is the sum of kinetic energy and potential energy, remains constant as long as there is no work done by non-conservative forces like friction or air resistance.
In the absence of external forces, the total mechanical energy of the system remains unchanged throughout its motion. For example, in the case of a pendulum swinging back and forth, neglecting air resistance, the mechanical energy is conserved as the pendulum oscillates between its highest and lowest points.
However, it's important to note that mechanical energy conservation is an idealization and may not hold true in all real-world scenarios due to factors like friction, air resistance, and energy losses. In practical situations, mechanical energy conservation is often a useful approximation but may not be strictly maintained.
THerefore, mechanical energy is conserved in a closed system when there are no external forces acting upon it.
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Which of the following is the most accurate description of the daily cycles of Earth and the Sun?A. The Sun appears to move from east to west while Earth rotates from east to west.B. The Sun appears to move from west to east while Earth rotates from east to west.C. The Sun appears to move from east to west while Earth rotates from west to eastD. The Sun appears to move from west to east while Earth rotates from west to east
To find:
Which of the given options gives the most accurate description of the daily cycles of the earth and the sun?
Explanation:
The sun is seen from the earth as raising in the east. It appears to be setting in the west in the evening.
This motion of the sun from the east towards the west is because of the rotatin of the earth. WThe earth rotates from west to east at a rotational speed of 24 hr.
Final answer:
Thus the correct answer is option C.
The world’s largest wind turbine has blades that are 80 m long and makes 1 revolution every 5.7 seconds.
What is the velocity for one of the blades?
(THIS IS PHYSICS, CIRCULAR MOTION)
Answer:
88.14 m/s
Explanation:
From the question given above, the following data were obtained:
Radius (r) = length of blade = 80 m
Revolution (rev) = 1
Time (t) = 5.7 s
Velocity (v) =?
The velocity of the blade can be obtained by using the following formula:
v = (rev × 2πr) / t
NOTE: Pi (π) = 3.14
v = (1 × 2 × 3.14 × 80) / 5.7
v = 502.4 / 5.7
v = 88.14 m/s
Therefore, the velocity of the blade is 88.14 m/s
creation
Design a device to minimize impact from a collision.
Design a device to convert one form of energy to another.
In 2-3 paragraphs explain your design, the materials that would be used to construct it, its function, and the relative efficiency of your design compared to something that already exists and performs a similar function
The device I would design to minimize impact from a collision would be a shock absorber made from a combination of rubber and metal. The device would be installed between the two colliding objects, and its function would be to absorb and dissipate the energy of the collision, thereby reducing the impact forces on the objects.
CONSTRUCTION:
Compared to existing shock-absorbing devices such as airbags and crumple zones, this design would be more efficient in reducing the impact forces on the colliding objects. Unlike airbags and crumple zones, which are designed to absorb the impact forces by deforming, the shock absorber would absorb the impact energy through compression and dissipation of the energy as heat.
Designing a device to convert one form of energy to another:The device I would design to convert one form of energy to another would be a piezoelectric generator. The function of this device would be to convert mechanical energy into electrical energy through the use of piezoelectric materials.The piezoelectric generator would consist of a piezoelectric material such as quartz or lead zirconate titanate (PZT) sandwiched between two metal plates. When mechanical stress is applied to the piezoelectric material, it generates an electrical voltage across the metal plates.Compared to existing devices such as generators and batteries, the piezoelectric generator would be more efficient in converting mechanical energy into electrical energy. This is because the piezoelectric effect is a direct conversion of mechanical energy into electrical energy, without the need for any intermediate steps such as the conversion of mechanical energy into rotational energy in a generator. Additionally, the piezoelectric generator would be smaller and more lightweight than traditional generators, making it ideal for use in portable electronic devices.
A bus is moving at a constant speed of 40 m/s. How many hours will it takes to travel 260 miles?
Explanation:
1 mile = 1609m
Distance=260 miles= 418340 m
Speed= 40 m/s
Time = distance/speed
= 418340/40
=10458.5 seconds
= 2.9 hours
What is the answer to this?
Answer:
B
Explanation:
Answer:
B
Explanation: