Answer:
10. B
13. It's actually 30 seconds but 20 comes closest so B
14. B, any type of stretching is good before you perform any type of physical activity because it loosens up the muscles
15. D, all of the above
Explanation:
I have done many sports in my life and am still very active, I grew to know most of these things through the years.
A robotic vehicle, or rover, is exploring the surface of Mars. The stationary Mars lander is the origin of coordinates, and the surrounding Martian surface lies in the xy-plane. The rover, which we represent as a point, has x- and y-coordinates that vary with time: = 2.0 − (0.25 / 2 ) 2 = (1.0/) + (0.025/ 3 ) 3 () ℎ ′ and distance from the lander at t=2.0s. (B) Find the rover’s displacement and average velocity vectors for the interval t=0.0 s to t=2.0s. (c) Find a general expression for the rover’s instantaneous velocity vector ⃗ . Express ⃗ at in component form and in terms of magnitude and direction
A) The rover’s coordinates and its distance from the lander at t = 2.0 s are; (1, 4) and 4.1 m
B) The rover’s displacement and average velocity vector during the interval are; s = (-1, 4) and v = (-0.5, 2) m/s
C) The magnitude and direction of the instantaneous velocity are; 2.24 m/s and 117°
What is the displacement and Velocity?
The rover's x and y coordinates are given as;
x = 2.0m − (0.25 m/s²)t²
y = (1.0m/s)t + (0.25 m/s³)t³
A) At t = 2 s, the rovers coordinates are;
x = 2.0m − (0.25 m/s²)2²
x = 1 m
y = (1.0m/s)2 + (0.25 m/s³)2³
y = 4 m
Distance from the lander is;
s = √[(1 - 2)² + 4²]
s = 4.1 m
B) Let us first find the distance coordinates for the interval t = 0.0 s to t = 2.0s. Thus;
s = r - r₀
s = (1 - 2), (4 - 0)
s = (-1, 4)
Thus, average velocity vector is;
v = ¹/₂s
v = ¹/₂(-1, 4)
v = (-0.5, 2) m/s
C) A general expression for the instantaneous velocity components is;
v_x = -0.5t
v_y = 1 - 0.75t²
Thus, v(2) is;
v_x = -0.5(2) = -1
v_y = 1 - 0.75(2)²
v_y = -2
Instantaneous velocity vector is; v = (-1, -2)
Magnitude of instantaneous Velocity = √(-1² + -2²) = 2.24 m/s
Direction = 180° - tan⁻¹(-2/-1) ≈ 117°
Read more about displacement and velocity at; https://brainly.com/question/4931057
A motorcycle skids for a distance of 2.0 m with the icy road pushing on its tires with force of 120 N as its
brakes are applied
What is the change in kinetic energy for the motorcycle?
Round the answer to two significant digits.
Answer:
-240
Explanation:
A motorcycle skids for a distance of 2.0 m on an icy road, then the change in kinetic energy for the motorcycle will be equal to -240 J.
What is kinetic energy?The force which a moving object has is referred to as kinetic energy in physics. It is defined as the number of effort required to propel a person of a specific mass from still to a specific velocity.
Aside from slight fluctuations in speed, your body holds onto the kinetic energy it obtains during acceleration.
When the body slows down from its present level to a condition of rest, the same quantity of energy is used.
Formally, kinetic energy is any quantity that has a gradient concerning time in the Lagrangian of a system.
As per the given information in the question,
Distance, d = 2.0 m
Friction, f = 120 N
The angle between displacement and friction force, θ = 180°
Now, the change in kinetic energy for the motorcycle = Work done by the friction.
K.E = f × d(cos θ)
= 120 (2.0 m)(cos 180°)
Δ K.E = -240 J
To know more about Kinetic energy:
https://brainly.com/question/26472013
#SPJ2
Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a woman accidentally steps barefoot on a thumbtack. About how much time does it take the nerve impulse to travel from the foot to the brain (in s)
In which of the following scenarios is the left hemisphere of the brain primarily needed?
The left hemisphere of the brain is primarily needed in scenario, Solving a complex mathematical problem. Option a is correct.
The brain is divided into two hemispheres, left and right, and they are specialized for different cognitive functions. The left hemisphere of the brain is primarily responsible for language processing, logical reasoning, and analytical thinking. Solving a complex mathematical problem involves logical reasoning, analytical thinking, and the use of language, all of which are primarily controlled by the left hemisphere of the brain.
Mathematical problems often require precise calculations, sequencing of steps, and the use of symbols and formulas, all of which require a strong left-brain function. In contrast, appreciating a work of art, listening to music, and recognizing facial expressions are all more complex perceptual and emotional processes that involve the right hemisphere of the brain. Option a is correct.
To know more about brain, here
brainly.com/question/11950231
#SPJ1
--The complete question is, In which of the following scenarios is the left hemisphere of the brain primarily needed?
a. Solving a complex mathematical problem.
b. Appreciating a work of art
c. Listening to music
d. Recognizing facial expressions.--
I NEED HELP WITH THE LAST QUESTION PLS HELP!! (The one below 8)
Answer:
I. 6 cells .
II. Series connection.
Explanation:
I. Determination of the number of cells needed.
From the question given above,
Total voltage (V) = 9 V
1.5 V = 1 cell
Number of cells needed =?
The number of cells needed to make the 9V battery can be obtained as follow:
1.5 V = 1 cell
Therefore,
9 V = 9 V × 1 cell / 1.5 V
9 V = 6 cells
Thus, 6 cells of 1.5 V each is needed
II. Determination of the connection line
Total voltage (Vₜ) = 9 V
Cell 1 (V₁) = 1.5 V
Cell 2 (V₂) = 1.5 V
Cell 3 (V₃) = 1.5 V
Cell 4 (V₄) = 1.5 V
Cell 5 (V₅) = 1.5 V
Cell 6(V₆ ) = 1.5 V
For parrall connection:
Vₜ = V₁ = V₂ = V₃ = V₄ = V₅ = V₆
9 V = 1.5 V =... = 1.5 V
For series connection:
Vₜ = V₁ + V₂ + V₃ + V₄ + V₅ + V₆
9 = 1.5 + 1.5 + 1.5 + 1.5 + 1.5 + 1.5
9 V = 9 V
From the illustration above, we can see that series connection of each cells will give a total volt of 9 V unlike the parallel connection which resulted to 1.5 V.
Therfore, the cells should be arranged in series connection
1. What is the potential energy of a 5.0-kg
object located 2.0 m above the ground?
A. 2.5 J
C. 98 J
B. 10 J
D. 196 J
Answer:
C. 98 J
Explanation:
The appropriate formula is ...
PE = mgh . . . . . m is mass; below, m is meters
PE = (5 kg)(9.8 m/s^2)(2 m) = 98 kg·m^2/s^2
PE = 98 J
what are the factors affecting center of mass in an object
A candle is sitting in front of a concave mirror at a distance of 12.2 cm. It is found that an image of the candle appears at 25.0 cm. What is the focal length of the mirror?
Answer:
Focal length (f) = 1/2 (Object distance + Image distance)
f = 1/2 (12.2 cm + 25.0 cm)
f = 18.6 cm
A spherical bowling ball of mass 7 kg and radius 0.18 m rolls down a hill that has a vertical height of 7 m. If the ball started from rest at the top, what is its angular momentum at the bottom of the hill? Use two sig figs.
Answer:
er so ue 0.984 kg study your self brhh
how would the mathematical model change if the direction that the object traveled was reversed
How have telescopes changed the way scientists study our Solar System?
Answer:
Telescopes have changed the way scientists study the Solar System. Before telescopes, people were only able to observe the Universe with their naked eyes. ... If it were not for telescopes, scientists would not be able to detect possible threats to Earth or predict comet's sightings.
Explanation:
400 years ago, before telescopes, our understanding of the universe was very different.
This is what was believed:
We live on a spherical ball orbited by the rest of a finite, spherical universe.
Earth does not move. It is the center of the universe.
Our Sun orbits the Earth, as do all the other planets and the Moon.
The stars are distant objects, always perfect and unchanging.
How did telescopes & associated technologies unlock the secrets of the universe and
help us toward the understanding we have today where Earth is no longer at the center of
the universe? Instead, we know that ours is a small planet orbiting a star in the suburbs
of a large galaxy filled with billions of other stars and planets, surrounded by billions of
other galaxies becoming increasingly ever distant from each other by the expansion of
space.
This is the story of how telescopes continuously changed our understanding of the
universe and our place in it - transforming our view of our universe. And we still have
much more to discover!
2. Before telescopes, we could only use our eyes and a variety of measuring instruments to
plot the positions and movements of objects in the sky to create a limited understanding
of our universe. We had no way to know what these objects actually were and little
evidence for our relationship to the cosmos.
Electricity is billed by utility companies in kilowatt hours. Using therates and usage from some utility meter readings, calculate thecost of the electric bill.1. Rate $0.10 per kilowatt hour (KWh) with a consumption of 900KWh Bill = _____2. Rate $0.075 per kilowatt hour with a consumption of 1,200KWh Bill = _____3. Rate $0.119 per kilowatt hour with a consumption of 1,100KWh Bill = ______4. Rate $0.09 per kilowatt hour with a consumption of 1,500 KWhBill = _____5. Rate $0.12 per kilowatt hour with a consumption of 1,225 KWhBill = _____
1) Given,
The rate is $0.10 per kilowatt hour (KWh) with a consumption of 900
KWh.
Solution:
The half-life of a radioactive isotope is 210 d. How many days would it take for the decay rate of a sample of this isotope to fall to 0.58 of its initial rate?
It would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.
1. The decay rate of a radioactive isotope is proportional to the number of radioactive atoms present in the sample at any given time.
2. The decay rate can be expressed as a function of time using the formula: R(t) = R₀ * \(e^{(-\lambda t\)), where R(t) is the decay rate at time t, R₀ is the initial decay rate, λ is the decay constant, and e is the base of the natural logarithm.
3. The half-life of a radioactive isotope is the time it takes for half of the radioactive atoms in a sample to decay. In this case, the half-life is given as 210 days.
4. Using the half-life, we can find the decay constant (λ) using the formula: λ = ln(2) / T₁/₂, where ln(2) is the natural logarithm of 2 and T₁/₂ is the half-life.
5. Substituting the given half-life into the formula, we have: λ = ln(2) / 210.
6. Now, we need to find the time it takes for the decay rate to fall to 0.58 of its initial rate. Let's call this time "t".
7. Using the formula for the decay rate, we can write: 0.58 * R₀ = R₀ * e^(-λt).
8. Simplifying the equation, we get: 0.58 = \(e^{(-\lambda t\)).
9. Taking the natural logarithm of both sides, we have: ln(0.58) = -λt.
10. Substituting the value of λ from step 5, we get: ln(0.58) = -(ln(2) / 210) * t.
11. Solving for t, we have: t = (ln(0.58) * 210) / ln(2).
12. Evaluating the expression, we find: t ≈ 546.
13. Therefore, it would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.
For more such questions on decay rate, click on:
https://brainly.com/question/27542728
#SPJ8
If Earth were a perfect sphere, would you weigh more or less at the equator than at the poles? Explain
Answer:
You would weigh the same.
Explanation:
At the moment, since Earth is not a perfect sphere, the Earth "bulges out" at the equator, so you're further from the centre of the Earth. Since gravity acts through a body's center of mass, the further you are from the centre the weaker the gravitational acceleration you will feel, because gravity weakens over distance.
So, you're actually lighter at the equator than you'd be at the poles.
However, if the Earth was a perfect sphere, this "bulge" at the equator would not happen, and so you would weigh the same at the poles and at the equator.
Hope this makes sense.
what is the equation for Kepler's 3rd law
The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?
Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.
Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!
The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.
The p-waves travel with a constant velocity of 7 km/s
The time can be calculated by using the formula
t = d / v
where
T1 = 10:05 a.m
d is the distance they take to travel from the epicenter
v is the speed of the p-waves
On average, the speed of p-waves is
v = 7 km/s
d = 5600 km (given)
Substituting the values in the formula;
t = d / v
t = 5600 ÷ 7
t = 800 seconds
Converting into minutes,
t = 800 ÷ 60
t = 13.3
≈ 13 mins
T1 - 13 mins = T2
10:05 - 13 mins = 9.52 am
It means the earthquake occurred prior 13 minutes, that is at 9.52 am.
Therefore, the earthquake occurred at 9.52 am.
Learn more about earthquakes from the given link.
https://brainly.com/question/25843505
A ball is projected with an initial velocity 50m/s at an angle 30 degree from the top of a tower 55m high.calculate the total time the ball was on the air and the maximum horizontal distance
Time of flight = 1.6 s
Horizontal distance = 64 m
What is a projectile motion?Projectile motion is the form of motion experienced by an object or particle projected into a gravitational field, such as from the surface of the Earth, and moves along a curvilinear path only under the action of gravity.
For the given case,
h = vt + ¹/₂gt²
h = height of tower
v = initial velocity
t = time of flight
55 = 50sin30t + ¹/₂9.8t²
55 = 25t + 4.9t²
4.9t² + 25t - 55 = 0
t = 1.6 s
X = vₓt
X = horizontal distance
vₓ = horizontal velocity
t = time of flight
X = (50 x cos30) x 1.6
X = 64 m
To know more about projectile motion visit:
https://brainly.com/question/11049671
#SPJ13
When measuring resistance or voltage on a CANbus, always use a digital _____ and disconnect the _____ battery terminal when measuring resistance.
Use a digital multimeter and disconnect the negative battery terminal when measuring resistance on a CANbus.
What is a MultimeterA multimeter, also called volt-ohm-meter ( VOM ),is a handheld measuring instrument either analog or digital that can measure the voltage, resistance, and current across circuits in a device.
When measuring resistance on a CANbus with the digital multimeter, it is necessary to disconnect the negative battery , This puts the power off. This is to ensure only the resistance is measured and prevent other components' from being measured and distorting readings.
Learn more on Multimeter here:https://brainly.com/question/5135212
You attach a meter stick to an oak tree, such that the top of the meter stick is 1.87 meters above the ground. Later, an acorn falls from somewhere higher up in the tree. If the acorn takes 0.311 seconds to pass the length of the meter stick, how high ℎ0
above the ground was the acorn before it fell, assuming that the acorn did not run into any branches or leaves on the way down.
The height of the acorn above the ground before falling is 2.9 m.
What is the initial velocity of the acorn?
The initial velocity of the acorn is calculated as follows;
s = ut + ¹/₂gt²
where;
u is the initial velocity of the acornt is the time of motiong is acceleration due to gravitys is the distance travelled by the acorn1.87 = 0.311u + ¹/₂(9.8)(0.311²)
1.87 = 0.311u + 0.474
0.311u = 1.396
u = ( 1.396 ) / ( 0.311 )
u = 4.489 m/s
The height the acorn falls before reaching the top velocity of 4.489 m/s is calculated as follows;
v² = u² + 2gh
where;
u is the initial velocity of the acorn = 0v is the final velocity of the acornh is the height of fall of the acornv² = 0 + 2gh
h = v² / 2g
h = ( 4.489² ) / ( 2 x 9.8 )
h = 1.03 m
The total height of the oak tree = 1.87 m + 1.03 m = 2.9 m
Learn more about height here: https://brainly.com/question/1739912
#SPJ1
During which radioactive decay process does a neutron change into a proton?
A. Alpha decay
B. Gamma decay
C. Beta decay (positron)
D. Beta decay (electron)
A neutron changes into a proton during a radioactive decay process called beta decay (positron), which is option D.
What is beta decay?A beta decay in physics is a nuclear reaction in which a beta particle (electron or positron) is emitted.
A positron is an electron with a positive charge.
During a beta decay, a neutron in the nucleus of the radioactive material suddenly changes into a proton, causing an increase in the atomic number of an element.
Learn more about beta decay at: https://brainly.com/question/25455333
#SPJ1
Apollo 14 astronaut Alan B. Shepard Jr. used an improvised six-iron to strike two golf balls while on the Fra Mauro region of the moon’s surface, making what some consider the longest golf drive in history. Assume one of the golf balls was struck with initial velocity v0 = 31.75 m/s at an angle θ = 26° above the horizontal. The gravitational acceleration on the moon’s surface is approximately 1/6 that on the earth’s surface. Use a Cartesian coordinate system with the origin at the ball's initial position.
Randomized Variables
vo 32.75 m/s
theta 32 degrees
What horizontal distance, R in meters, did this golf ball travel before returning to the lunar surface?
Complete Question
Apollo 14 astronaut Alan B. Shepard Jr. used an improvised six-iron to strike two golf balls while on the Fra Mauro region of the moon’s surface, making what some consider the longest golf drive in history. Assume one of the golf balls was struck with initial velocity v0 = 32.75 m/s at an angle θ = 32° above the horizontal. The gravitational acceleration on the moon’s surface is approximately 1/6 that on the earth’s surface. Use a Cartesian coordinate system with the origin at the ball's initial position.
Randomized Variables
vo 32.75 m/s
theta 32 degrees
What horizontal distance, R in meters, did this golf ball travel before returning to the lunar surface?
Answer:
The horizontal distance is \(R = 590.2 \ m \)
Explanation:
From the question we are told that
The initial velocity is \(v_o = 32.75 \ m/s\)
The angle is \(\theta = 26^o\)
The gravitational acceleration of the moon is \(g_m = \frac{1}{6} * 9.8 = 1.633 m/s^2\)
Generally the distance traveled is mathematically represented as
\(R = \frac{v_o^2 sin 2(\theta)}{g_m}\)
=> \(R = \frac{32.75^2 sin 2(32)}{1.633}\)
=> \(R = 590.2 \ m \)
Chemistry Sem 2
Points Possible: 20
Name: Caleb Peterson
Date:
1. Several solids, liquids, and gases can be found in your home. List three
examples of each. (9 points) Think about where solids, liquids, and gases might
be found in your refrigerator, bathroom, or basement/garage.
Answer:
Solids - Bricks , wood , Pottery, Bucket
Liquid - Water, soap, Sanitizers.
Gases - Aerosol in Deodorants, Chlorofluorocarbons in Fire extinguishers , Butane in lighters.
An engineer carries a set of titanium rods, each with a length of and mass of , up a ladder from the floor of a fabrication facility. He sets them down on an overhead walkway above the floor. Unfortunately, as soon as he does of the rods roll off the walkway and fall to the floor. The engineer climbs back down and brings the fallen rods back up to the walkway. Calculate the change in gravitational potential energy of the engineer's set of rods
Answer:
0.0512 kJ
Explanation:
From the given information, since the values were not given:
Then, Let assume that:
A set of 50 titanium rods is handled by the engineer, with 50cm length and 20g of mass.
The overhead walkway = 5.3 m
In this process, 12 rods roll of the walkway
We are to determine the change in the Gravitational P.E
Change in P.E = final P.E- initial P.E
Change in P.E = (50 mgh) - (0)
Change in P.E = \((50\times \dfrac{20}{1000}\times 9.8 \times 5.3 )-0\)
Change in P.E = 51.94 Joules
Change in P.E = 0.05194 Joules
Change in P.E ≅ 0.0512 kJ
If the total _______ on an object is not zero, its motion will change. A Speed B Gravity C Force D None of the above
Answer:
The correct answer is C) Force. If the total force on an object is not zero, its motion will change according to the second law of motion by Isaac Newton.
A box at rest on a ramp is in equilibrium, as shown. What is the force of static friction acting on the box? Round your answer to the nearest whole number. N What is the normal force acting on the box? Round your answer to the nearest whole number. N
Answer:
First blank: 251 N
Second blank: 691 N
Explanation:
Which action could a student take to show a transverse wave
A:blow up a balloon
B:shake a rope from side to side
C:shout across a soccer field
D:Knock on a door
Answer:
B is the correct answer
Explanation:
I just did this question
What school did Ronald McNair go to and what kind of science did he work in
Answer:
McNair graduated as valedictorian of Carver High School in 1967. In 1971, he received a Bachelor of Science degree in engineering physics, magna cu.m laude, from the North Carolina Agricultural and Technical State University in Greensboro, North Carolina.
An acorn is about to fall from a tree. What type of energy does it have? A.GPE only B.KE onlyC.EPE onlyD.KE and GPE
We are given that an acorn is about to fall from a tree. This means that the acorn is not accelerated yet and is at a height "h" from the ground. The energy associated to ab object at a certain height is:
\(U=mgh\)Where:
\(\begin{gathered} m=\text{ mass} \\ g=\text{ acceleration of gravity} \\ h=\text{ height} \end{gathered}\)The energy "U" is called Gravitational Potential Energy (GPE).
Jane (m=50kg) wants to save Tarzan (m= 80kg) who is standing in the middle of a ring of fire of 5.0 m diameter. Jane has a vine (conveniently attached to a branch right above Tarzan, at a height of 33 m above the ground. Jane holds onto the vine and climbs a tree, growing 16 m away from Tarzan, until she reaches a height of 5.3 m above the ground. She swings down and grabs Tarzan around his waist (1.0m above ground). If they let go of the vine when they reach their highest point, where will they land, relative to Tarzan's original position?
The height that will illustrate the distance will be d = 6.36m
How to calculate the height?Based on the information given, the length of the vine will be:
L = ✓(16² + 27.7)²
L = 32m
The velocity of Jane when she reaches position B will be:
V = ✓2gh
V = ✓(2 × 9.8 × 4.3)
V = 9.18m/s
We will apply the conversation of momentum. This will be:
50 × 9.18 = (50 + 80)V1
V1 = 3.53m/s
Therefore, the height that will illustrate the distance will be:
31.36² + d² = 32²
d² = 32² - 31.36²
d = 6.36m
Learn more about height on:
brainly.com/question/73194
#SPJ1
Two planets, Dean and Sam, orbit the Sun. They each have with circular orbits, but orbit at different distances from the Sun. Dean orbits at a greater average distance than Sam. According to Kepler's Third Law, which planet will have a longer orbital period? Group of answer choices Dean Sam Since they both have circular orbits, they will have the same orbital periods. There isn't enough information to tell.
Answer:
The correct answer is Dean has a period greater than San
Explanation:
Kepler's third law is an application of Newton's second law where the force is the universal force of attraction for circular orbits, where it is obtained.
T² = (4π² / G M) r³
When applying this equation to our case, the planet with a greater orbit must have a greater period.
Consequently Dean must have a period greater than San which has the smallest orbit
The correct answer is Dean has a period greater than San
Answer:
According to the law of universal gravitation, any two objects are attracted to each other. The strength of the gravitational force depends on the masses of the objects and their distance from each other.
Many stars have planets around them. If there were no gravity attracting a planet to its star, the planet's motion would carry it away from the star. However, when this motion is balanced by the gravitational attraction to the star, the planet orbits the star.
Two solar systems each have a planet the same distance from the star. The planets have the same mass, but Planet A orbits a more massive star than Planet B.
Which of the following statements is true about the planets?
A.
Planet B will keep orbiting its star longer than Planet A.
B.
Planet A has a longer year than Planet B.
C.
Planet A orbits its star faster than Planet B.
D.
Planet B is more attracted to its star than Planet A.
Explanation: