A 75 kg swimmer steps off a 10.0 m tower. What is the swimmer’s velocity on hitting the water?
Given data:
Height of the tower;
\(h=10\text{ m}\)The velocity is given as,
\(v^2=u^2+2gh\)Here, u is the initial velocity of the swimmer (u=0), and g is the acceleration due to gravity (g=9.8 m/s²).
Substituting all known values,
\(\begin{gathered} v^2=0^2+2\times(9.8\text{ m/s}^2)\times(10\text{ m}) \\ v^2=196\text{ m}^2\text{ /s}^2 \\ v=14\text{ m/s} \end{gathered}\)Therefore, the swimmer's velocity on hitting the water is 14 m/s.
1. Hearing is also known as
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Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s. What is the radius of Jupiter? 7,781.6 km 19,420 km 48,893 km 69,912 km
The radius of Jupiter is 11.37 × 10^6 km (approx).
The correct answer to the given question is option D.
Jupiter is a giant planet in our solar system and takes 9.9259 hours to rotate on its axis. The tangential speed of Jupiter is given to be 12,293 m/s. We are required to find out the radius of Jupiter.
Given Data:
Rotation period of Jupiter, T = 9.9259 hours
Tangential speed of Jupiter, v = 12,293 m/s
Formula Used:
Radius of Jupiter, r = v × T / (2π)
Calculation:
We can find the radius of Jupiter using the above formula.
Substituting the given values in the formula, we get:
r = 12,293 × 9.9259 × 60 × 60 / (2π)r = 71,492,602.68 / (2π)r = 11,371,641.26 km ≈ 11.37 × 10^6 km.
Therefore, the radius of Jupiter is 11.37 × 10^6 km (approx).
Hence, the correct option is 69,912 km.
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Please select the word from the list that best fits the definition
ratio of output force to input force
input force
efficiency
mechanical advantage
output force
compound machine
If you walk 5.0 m horizontally forward at a constant velocity carrying a 10 N object, the amount of work you do is
Answer:
50 J
Explanation:
The equation for Work is:
\(Work=Force*Distance\)
We can substitute the given values into the equation:
\(Work=10N*5.0m\\Work=50J\)
Which statement BEST describes the relationship between our Solar System and the Milky Way galaxy?
A)Our Solar System is located in the center of the Milky Way galaxy.
B)The Milky Way galaxy is located in the center of our Solar System.
C)The Milky Way galaxy is located in the outer area of one of the orbits in our Solar System.
D)Our Solar System is located in the outer area of one of the spiral arms of the Milky Way galaxy.
Answer:
D)Our Solar System is located in the outer area of one of the spiral arms of the Milky Way galaxy.
Explanation:
Our solar system is one of millions of solar systems found in our galaxy, the Milky Way.
Hope that helps!
Have a great day! :D
The relationship between our Solar System and the Milky Way galaxy is option d. Our Solar System is located in the outer area.
Relationship between our Solar System and the Milky Way galaxy:The earth orbited the sun, so the solar system that orbited the center of the milky way.
Also, it does have solar system nearest to the 250 million for finishing the single revolution.
Hence, the option d is correct.
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An astronaut can accelerate in his rocket to 120 m/s (velocity) in 4 seconds.
Answer:
Yes it can
Explanation:
A motor transfers 12 kJ of energy in 30 s. Calculate its power.
Answer:
power=400Watt
Explanation:
work done =12kJ=12×10³=12000j
time taken=30s
power=?
as we know that
power=work done/time taken
power=12000J/30s
power=400Watt
i hope this will help you :)
Question 1 of 20
Two bicyclists are accelerating forward at the same rate. Biker 1 has less
mass than Biker 2. Which statement describes the net force on the bikers?
A. The net forely on both bikers is changing.
B. Both bikers experience the same net force.
C. The net force on Biker 1 is in the backwards direction.
D. The net force on Biker 2 is greater than on Biker 1.
Answer:
The net force on biker 2 is greater than on biker 1
Explanation:
Apex;)
Answer:
D. The net force on biker 2 is greater than on biker 1
Explanation:
When light hits a surface it usually bounces off at a larger angle. True or false? Justify
Answer:That only applies to highly polished surfaces, eg mirrors.
If you take a high quality laser (ie with low divergence) and aim it at a wall, you can see the spot where the laser beam reaches the wall from anywhere with a direct line-of-sight to the spot where the laser beam reaches the wall. This due to micro imperfections on the surface of the wall. At a microscopic level, the wall surface is very rough and pointing in all directions.
As to why, a beam of light bounces of a highly polished surface, I can only surmise that it is essentially due to kinematics, ie the only force opposing the light beam is normal to the surface, hence there no forces along the reflective surface. Since there are no forces along the reflective surface, the speed component of light along the reflective surface remains unchanged. However, on the plane perpendicular to the reflective surface the, the light photons bounce off at the same speed at which the hit the reflective surface because the mass of the reflective surface is much much much larger than the mass of the photons, which means that the reflective surface won’t move at all. Since conservation of momentum requires that momentum after the collision be the same as the momentum before the collision then the only way for that to happen is if the velocity of the photon perpendicular to the reflective surface is of exactly the same magnitude but in the opposite direction. Vector resolution of the speed component of the reflected beam means that the angle of reflection must be the same as the angle of incidence.
Explanation:
Help ASAP I’ll give u branliest!! This isn’t really hard
Answer:
I'm pretty sure it's mist, drizzle, droplet, and then rain.
- Explain how the Earth, the sun, and time are connected,
Answer:
the rotation of earth is determining what part of the sun faces what part of earth making time the part thats away from the sun would be night and the one facing the sun itself would be day
A 65-kg student is in an elevator moving downward with constant velocity. He uses a bathroom scale to measure the upward force exerted on his feet. Part A What force magnitude does the scale read when the elevator is traveling at constant velocity
Answer:
F = M a + M g where a is the acceleration of mass M
Since a = 0 (no accleration)
F = M g = 65 kg * 9.80 m/s^2 = 637 Newton's
The magnitude of force in the scale reading is 637 N.
What is meant by acceleration due to gravity ?The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity.
Here,
Mass of the student, m = 65 kg
Since, the elevator is moving downwards, the expression for the apparent weight of the student can be given as,
F = m(g + a) since, elevator is in downward motion.
Given that, the elevator is moving downwards with a constant velocity. Therefore, the acceleration of the elevator moving downwards,
a = 0
Therefore, the magnitude of force(apparent weight) will be,
F = m(g + 0)
F = mg
F = 65 x 9.8
F = 637 N
That means the apparent weight of the student is equal to his actual weight.
Hence,
The magnitude of force in the scale reading is 637 N.
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A sled and its rider are moving at a speed of 4.0 m/s along a horizontal stretch of snow. The snow exerts a kinetic frictional force on the runners of the sled, so the sled slows down and eventually comes to a stop. The coefficient of kinetic friction is 0.050. Determine the acceleration of the sled.
Answer:
The acceleration of the sled is "0.49 m/s²". A further explanation is given below.
Explanation:
The given values are,
Speed,
V = 4.0 m/s
Coefficient of kinetic friction,
μ = 0.05
As we know,
⇒ \(F \mu=\mu mg\)
and,
⇒ \(a = \mu g\)
On substituting the given values, we get
⇒ \(=0.0 5\times 9.8\)
⇒ \(=0.49 \ m/s^2\)
The force F between two parallel wires carrying electric currents is inversely proportional to the distance d between the wires. If a force of 0.750 N exists between wires that are 1.75 cm apart, what is the force between them if they are separated by 2.50 cm?
the force between the two wires if they are separated by 2.50 cm is 0.525 N.
Given that force F between two parallel wires carrying electric currents is inversely proportional to the distance d between the wires and that a force of 0.750 N exists between wires that are 1.75 cm apart and that we are supposed to find the force between them if they are separated by 2.50 cm.
Let the initial force be F₁ and the initial distance be d₁.
Therefore, we can write the relationship between force and distance as;
F₁d₁ = F₂d₂
Where
;F₁ = 0.750 N (initial force)
d₁ = 1.75 cm (initial distance)
F₂ = ? (force at new distance)
d₂ = 2.50 cm (new distance)
Let us find F₂;F₁d₁ = F₂d₂F₂ = F₁d₁/d₂
Now substitute the values we know;
F₂ = (0.750 N x 1.75 cm) / 2.50 cmF₂ = 0.525 N
Therefore, the force between the two wires if they are separated by 2.50 cm is 0.525 N.
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Rank the main causes of death among young children, from the highest incidence to the lowest incidence. ____
Unintentional injuries caused by accidents are the number one killer of children and teenagers.
What causes the majority of adolescent deaths?
A little over half of all adolescent fatalities are caused by accidents. Over one-third of all fatal accidents fall under the category of motor vehicle fatalities, which is the top cause of death for teens. Non-Hispanic black male teens have the highest death rate.
The top causes of mortality for children under 5 years old continue to be congenital anomalies, pre-term birth complications, birth asphyxia, and other infectious diseases like pneumonia, diarrhea, and malaria. According to a recent study, homicide is the top cause of death for children in the United States, and the total rate has grown by 4.3% annually on average.
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Consider the causal LTI system with impulse response h(t) = u(t). Prove that this system is an integrator, i.e., the output of the system is the integral of the input. X(t) 1 2 t t(2-t) 0 h(t) 1 b 1 21 Figure 1: Input function and impulse response
Using the input and impulse response given in Fig.1, find and sketch the output calculating x(t) * h(t). You can either use the integral definition of the convolution or the Reflect-and-Shift approach.
The impulse response of the LTI system is h(t) = u(t).Let's find the output for the given input and impulse response using the integral definition of the convolution, given as follows:x(t) h(t) = ∫x(τ)h(t-τ)dτWe have to consider two cases when t < 0 and t ≥ 0.
Case 1:
When t < 0x(t) h(t) = ∫x(τ)h(t-τ)dτWhen t < 0, h(t - τ) = u(t - τ) = 0 for all τ > t. Therefore, for this range of t, x(t) h(t) = 0.Case 2:
When t ≥ 0x(t) h(t) = ∫x(τ)h(t-τ)dτ= ∫x(τ)u(t-τ)dτSince u(t - τ) = 1 for τ ≤ t and u(t - τ) = 0 for τ > t, we can split the integral into two parts:x(t) h(t) = ∫x(τ)u(t-τ)dτ= ∫x(τ)u(t-τ)dτ + ∫x(τ)u(τ-t)dt= ∫x(τ)u(t-τ)dτ + ∫x(t-τ)u(τ)dτ= ∫0tu(τ)x(t-τ)dτ + ∫t∞u(τ)x(t-τ)dτ= ∫0tx(t-τ)dτAs the function x(t) is given,we can evaluate the integral:
x(t) h(t) = ∫0tx(t-τ)dτ= ∫0t(2-τ)dτ= 2t - t²/2Let's plot the graph of the output function using the given input and impulse response:Graph of the output functionAbout Impulse ResponseIn signal processing and control theory, the impulse response, or impulse response function, of a dynamic system is its output when presented with a brief input signal, called an impulse. More generally, the impulse response is the reaction of any dynamic system in response to some external change.
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Pushing a baby on a swing is easier than pushing an adult on the same swing.
Water spills from a glass carried by someone who is walking steadily and suddenly stops short.
When thrown with the same force, a soccer ball accelerates more than a bowling ball.
A magician pulls a tablecloth out from under a dish on a table without disturbing the dish.
A rocket launches into space, pushing fuel exhaust in one direction and the rocket in the opposite direction.
A book rests on top of a shelf and does not move until a student accidentally knocks it off.
Answer:
Law 2:
Pushing a baby on a swing is easier than pushing an adult on the same swing. Water spills from a glass carried by someone who is walking steadily and suddenly stops short.
Law 2:
When thrown with the same force, a soccer ball accelerates more than a bowling ball.
Law 1:
A magician pulls a tablecloth out from under a dish on a table without disturbing the dish.
Law 3:
A rocket launches into space, pushing fuel exhaust in one direction and the rocket in the opposite direction.
Law 1:
A book rests on top of a shelf and does not move until a student accidentally knocks it off.
Explanation:
Newton's laws of motion:
Law 1: Law of inertia
Law 2: Law of force (F = mass x acceleration)
Law 3: Law of Action & Reaction
The laws followed by the given situations are Newton's law of force, Law of inertia and Newton's third law.
What is meant by inertia ?Inertia is defined as the tendency of an object to continue its state of rest or motion.
Here,
Considering the situations given,
1. Pushing a baby on a swing is easier than pushing an adult on the same swing.
This is because, the mass of the baby is lesser than that of the adult. So, according to Newton's force equation,
Force, F = ma
Therefore to push a body with more mass, more force should be applied.
Another situation that follows this law from the given situations is:
When thrown with the same force, a soccer ball accelerates more than a bowling ball.
2. Water spills from a glass carried by someone who is walking steadily and suddenly stops short.
This is due to the inertia of the water in the glass. This can be explained by law of inertia.
Another situation that follows this law from the given situations is:
A magician pulls a tablecloth out from under a dish on a table without disturbing the dish.
A book rests on top of a shelf and does not move until a student accidentally knocks it off.
3. A rocket launches into space, pushing fuel exhaust in one direction and the rocket in the opposite direction.
This is according to Newton's third law of motion. The law of action and reaction.
Hence,
The laws followed by the given situations are Newton's law of force, Law of inertia and Newton's third law.
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A soldier jumps from the plane at the height of 1000m. After falling for certain height, she opens the parachute.
What happens to her speed?
Plot a speed-time graph for the whole journey.
Class 8 cbse physics
The soldier's speed initially increases as she falls due to the force of gravity. The speed-time graph for the whole journey will have a positive slope in the beginning, followed by a negative slope, and finally a horizontal line.
However, once the parachute is opened, the air resistance increases and slows down her speed. The final speed at which she lands depends on various factors such as the size and shape of the parachute, the weight of the soldier, and the air resistance. The second stage is when the parachute is opened. During this stage, the soldier's speed decreases gradually due to air resistance. Therefore, the speed-time graph for this stage will be a curved line with a negative slope. The final stage is when the soldier lands on the ground.
To plot a speed-time graph for the whole journey, we need to break down the journey into different stages. The first stage is the free fall without the parachute. During this stage, the soldier's speed increases at a constant rate due to gravity. Therefore, the speed-time graph for this stage will be a straight line with a positive slope.
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Given a horizontal uncharged insulating rod. A negatively charged rod touches the middle of the horizontal rod. Which of these best describes what happens? A)the rod becomes positively charged on its left end and negatively charged on its right end B)the middle of the rod becomes negatively charged C)the rod becomes positively charged all over its surface D)the rod becomes negatively charged all over its surfaceE) the rod remains uncharted
Answer:
E) The rod remains uncharted.
Explanation:
The negatively charges rod has an excess of electrons. These electrons repel each other, so when this rod touches the horizontal uncharged insulating rod, they will try to go to the uncharge rod. However, this is an insulating rod, so there will be no transfer of electrons. It means that the rod remains uncharted.
A kangaroo jumps 2 meters high. At what speed must the kangaroo have left the ground at for it to reach such a height?
In order to reach the maximum height of 2 meters, Kangaroo should jump with an initial speed of 6.26 m/s.
What are the three equations of motion?The three equations of motion are -
first law → v = u +at
second law → S = ut + 1/2 at²
Third law → v² - u² = 2aS
Given is a kangaroo who jumped 2 meters high.
Assume that the kangaroo jumped with an initial velocity of 'u' m/s.
The maximum height achieved is 2 meters.
Acceleration due to gravity will be -9.8 m/s²
At maximum height, the velocity will be zero. Therefore, the final velocity 'v' will be zero. Using third law →
v² - u² = 2aS
- u² = - 2gS
u² = 2gS
u² = 2 x 9.8 x 2
u² = 39.2
u = 6.26 m/s
Therefore, in order to reach the maximum height of 2 meters, Kangaroo should jump with an initial speed of 6.26 m/s.
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A RAU80 with 4-lanes and a design radius of 300m requires a spiral-circular curve-spiral transition system, the deflection angle at the Point of Intersection is 16d30m14.0s.
a) Using Superelevation and Minimum Spiral Parameters, emax = 0.06 m/m what is the minimum recommended spiral parameter?
b) Determine the distance P
c) Determine the distance Q
d) Determine the angle Φs
e) Determine the distance Tc
A) Minimum recommended spiral parameter: 150.03m.
b) Distance P: 150.03m.
c) Distance Q: 4.122m.
d) Angle Φs: 16°30'14.0".
e) Distance Tc: 150.03m.
a) Calculation for the minimum recommended spiral parameter:
Design radius (R) = 300 m
Maximum superelevation (e_max) = 0.06 m/m
Spiral Parameter (A) = (R + e_max) / 2
A = (300 m + 0.06 m/m) / 2
A ≈ 150.03 m
b) Calculation for the distance P:
Distance P is equal to the length of the first spiral curve, which is the same as the minimum recommended spiral parameter.
P ≈ 150.03 m
c) Calculation for the distance Q:
Distance Q represents the length of the circular curve. It is given by the formula:
Q = (Deflection angle at Point of Intersection) / (Degree of Curve, D)
Deflection angle at Point of Intersection = 16°30'14.0"
Converting the angle to decimal degrees:
16° + (30'/60) + (14.0"/3600) = 16.504°
Q = 16.504° / (360° / D)
Q ≈ D / 21.814
Since the RAU80 has 4 lanes, the degree of curve (D) is 360° / 4 = 90°.
Q ≈ 90° / 21.814
Q ≈ 4.122 m
d) Calculation for the angle Φs:
The angle Φs is the deflection angle at the Point of Intersection.
Φs = 16°30'14.0"
e) Calculation for the distance Tc:
Distance Tc is equal to the length of the second spiral curve, which is the same as the minimum recommended spiral parameter.
Tc ≈ 150.03 m
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The electrical energy stored in a capacitor is given by E = (1/2)CV^2
V= potential difference across the capacitor
C= the capicatance of the capacitor in units of farads
Which of the following combinations of coulombs, joules, and/or volts is equivalent to a farad?
a) C^2/J
b) V/C
c) J/C^2
d) C^2/V
The energy stored in a capacitor can be expressed in three ways: Ecap=QV2=CV22=Q22C E cap = QV 2 = CV 2 2 = Q 2 2 C , where Q is the charge, V is the voltage, and C is the capacitance of the capacitor. The energy is in joules when the charge is in coulombs, voltage is in volts, and capacitance is in farads.
The elements in a column of the periodic table _____.
A.have very similar chemical symbols
B.have the same atomic mass
C.have similar properties
Compute the torque developed by an industrial motor whose output is 175 kw at an angular speed of 4300 rev/min.
The torque developed by an industrial motor whose output is 175 kw at an angular speed of 4300 rev/min will be 389 Nm.
Given
Power = 175kw = 17500 WAngular Speed(ω) = 4300 rev/min = 450 rad/sLet Torque = т
P = т * ω
т = P/ ω
т = 17500 / 450 = 388.88 Nm (approx. 389 Nm)
Hence , the torque developed by an industrial motor whose output is 175 kw at an angular speed of 4300 rev/min will be 389 Nm.
In physics and mechanics, torque is the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force or turning effect, depending on the field of study. It represents the capability of a force to produce change in the rotational motion of the body.
We can define power as the rate of doing work, it is the work done in unit time. The SI unit of power is Watt (W) which is joules per second (J/s). Sometimes the power of motor vehicles and other machines is given in terms of Horsepower (hp), which is approximately equal to 745.7 watts.
Angular speed is the speed of the object in rotational motion.
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choose the correct definition and two examples of kinetic energy. kinetic energy is the energy an object has due to its motion. two examples are a car driving down the highway or the movements of the molecules of liquid in a cup of hot coffee.
The correct definition of kinetic energy is that kinetic energy is the energy an object has due to its motion.
What do you mean by Kinetic Energy?It is defined as the work needed to accelerate an object from rest to its current velocity. Kinetic energy is proportional to the mass of the object and the square of its velocity and can be calculated using the formula KE = 0.5 × m × v², where m is the mass of the object and v is its velocity.
Kinetic energy is a scalar quantity and has units of joules (J) in the SI system. It is an important concept in physics and has a wide range of applications, from understanding the motion of objects in classical mechanics to describing the behavior of particles in thermodynamics and quantum mechanics.
Therefore, The correct definition of kinetic energy is that kinetic energy is the energy an object has due to its motion.
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Question 49
The major target for damage associated with ultraviolet radiation is:
a. Cellular DNA
b. The skin
c. The eyes
d. The liver
Cellular DNA is the main component of UV radiation damage.
The sun emits ultraviolet (UV) radiation, a form of electromagnetic radiation that can harm living tissues. Cellular DNA, which is particularly susceptible to the effects of UV radiation, is the main target for this damage. The creation of thymine dimers, which can obstruct DNA replication and transcription, is one type of damage that can result from UV light absorption by DNA. This might result in mutations that eventually cause cancer or other disorders. In addition, UV radiation can harm the skin and eyes, but cellular DNA is the area where it has the greatest long-term effect.
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5 sentences about the importance of investigatory project
Answer:
Student science investigatory projects provide students practical experience in using the scientific method and help stimulate their interest in scientific inquiry. Given the benefits society can realise from professional scientific inquiry, such goals in themselves have importance.
Hope it helps you.The protein resilin in the tendon of a dragonfly has a resilience of 0.92. Imagine the resilin is stretched and allowed to relax. If 6.00 J of work are done by the resilin as it relaxes, how much work was done to stretch it?
The resilience of a material is defined as the ratio of the energy stored in the material to the energy required to deform it. Mathematically, resilience is given by the equation.
Resilience = (Energy stored) / (Energy required to deform)
Given that the resilience of the protein resilin is 0.92, we can use this information to determine the energy required to stretch it, as well as the energy stored when it relaxes.
Let's denote the energy required to stretch the resilin as W and the energy stored when it relaxes as 6.00 J (given in the question).
Resilience = (Energy stored) / (Energy required to deform)
0.92 = 6.00 J / W
Solving for W, we can rearrange the equation as:
W = (Energy stored) / (Resilience)
W = 6.00 J / 0.92
Plugging in the given values, we can calculate the energy required to stretch the resilin:
W = 6.00 J / 0.92
W ≈ 6.52 J
So, the work done to stretch the resilin is approximately 6.52 J.
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Pls someone help me plss guys!!!
I will give you brainiest
Radioactivity is a part of our earth - it has existed all along. Naturally occurring radioactive materials are present in its crust, the floors and walls of our homes, schools, or offices and in the food we eat and drink. There are radioactive gases in the air we breathe. Our own bodies - muscles, bones, and tissue - contain naturally occurring radioactive elements.