Answer:
2.24 seconds
Explanation:
xf = xo + vo t + 1/2 at^2
45 = 0 + 15 t + 1/2 (4.5) t^2
2.25 t^2 + 15t - 45 = 0 Quadratic formula shows t = 2.24 seconds
The car takes approximately 2.25 seconds to cover a distance of 45.0 meters under the given conditions of constant acceleration.
Given data:
Initial velocity (u) = 15.0 m/s
Acceleration (a) = 4.50 m/s²
Distance (s) = 45.0 m
We can use the kinematic equation to solve for time (t) when the car covers a certain distance under constant acceleration:
S = ut + 1/2at²
Where:
s = distance
u = initial velocity
a = acceleration
t = time
Plugging in the given values:
45.0 = 15.0t + 1/2 m/s²t²
2.25t² +15t - 45 = 0
t = 2.25sec and -8.92sec
Since time cannot be negative in this context, we discard the negative solution.
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The position of a train at a time 2 seconds is 100m from a station. Suppose its velocities at the end of 2 seconds and at the end of 10 seconds are 5m/s and 20m/s respectively. Find the position of the train at the end of 10 seconds.
vf²=vi²+2ad
5²=0+2a.100
a=0.125 m/s²
20²=0+2 x 0.125 x d
400 = 0.25d
d = 1600 m
Which one of these is a compound
Answer:
(b) see attached
Explanation:
A compound is composed of molecules, each of which is composed of atoms of two or more different elements.
A single atom of any type is not a compound, nor is a collection of atoms of the same type.
__
The attached figure shows a molecule of HCl, hydrogen chloride. It is a compound.
When two or more capacitors are connected in series across a potential difference.
Explanation:
1. the potential difference across the combination is the algebraic sum of yhe potential differences across the individual capacitors
2. the equivent capacitance of the combination is less than the capacitance of any of the capacitors..
how many wavelengths are represented
Answer:
two wavelength are present
as wavelength is counted either from crest to crest or trough to trough and there are only 2
A book with a mass of 1.2 kg sits on a bookshelf. if it has a gravitational potential energy of 50 j, how high is the shelf? the acceleration of gravity is 9.8m/s^2
Answer:
h = 4.25 m
Explanation:
[tex]gravitational \space\ potential \space\ energy \space\ (gpe)= m g h\\[/tex] ,
where m is the mass, g is acceleration of gravity, and h is height of object.
In our case, m = 1.2 kg, g = 9.8m/s², and gpe = 50 J.
50 = 1.2 x 9.8 x h
h = 50 / (1.2 x 9.8)
h = 4.25 m
Answer:
4.25m
Explanation:
Joules is a "derived unit", meaning it is really composed of other units, and it is just abbreviated as a single letter.
[tex]1[J]=1 [\frac{kg \cdot m^2}{s^2}][/tex]
This comes from the formula for potential energy, often denoted "U"
[tex]U=mgh[/tex], where m is the mass of the object (measured in kilograms, [tex]kg[/tex]), g is the acceleration due to gravity at that spot (measured in meters per second squared, [tex]\frac {m}{s^2}[/tex]), and h is the height of the object (measured in meters, [tex]m[/tex]).
Note: The object itself may or may not have an acceleration of "g" at the given point because it may be supported (like on a bookshelf). However, the "g" is representative of its gravitational acceleration at that point if gravity could accelerate it unimpeded.
Rearranging the potential energy equation to isolate the unknown "h", dividing both sides by "m" and "g", we get the following:
[tex]\dfrac{U}{mg}=h[/tex]
Substituting known values (and rewriting Joules as its SI units so we can ensure units cancel the way we need them to):
[tex]\dfrac{\left (50 [\frac{kg \cdot m^2}{s^2}] \right)}{(1.2 [kg])(9.8 [\frac{m}{s^2}])}=h\\\dfrac{\left (50 [\frac{kg \!\!\!\!\!\!\!{--} \cdot m^{2 \!\!\!{-}}}{s^2\!\!\!\!\!\!\!{--} }] \right)}{(1.2 [kg \!\!\!\!\!\!\!{--} ])(9.8 [\frac{m\!\!\!\!\!\!\!{--} }{s^2\!\!\!\!\!\!\!{--} }])}=h\\\dfrac{(50)}{(1.2)(9.8)}[m]=h\\\\4.2517[m] \approx h[/tex]
Thus, the height of the book would be approximately 4.25meters high.
What is a specific heat capacity?
Answer:
C.
Explanation:
Specific heat capacity is defined as the amount of heat energy needed to increase the temperature of 1kg of a substance by 1°C.
The formula for specific heat capacity is as follows:
[tex]C = \frac{Q}{m \Delta T}[/tex]
where:
C → specific heat capacity
Q → heat energy required
m → mass of the object
ΔT → change in temperature.
In a game of Tug-of-War,
when are the forces
unbalanced?
A. when one side lets go of the rope
B. when the net force is o N
C. when both sides pull with 55 N
what evidence did astronomers use to prove jets travel in opposite directions?
The evidence that astronomers use to prove jets travel in opposite direction is Spectral lines from a very fast moving ionized gases.
Who are the astronomers?Astronomer is a person who study astronomy which is a scientific study that has to do with space, space bodies, comets, planets, stars and so on.
Therefore, The evidence that astronomers use to prove jets travel in opposite direction is Spectral lines from a very fast moving ionized gases.
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Every magnet must have what at its ends?
O A. A north pole and a south pole
OB. A positive charge and a negative charge
C. A positive charge and a north pole
OD. A south pole and another south pole
SUBE
Explanation:
The correct is A.
every magnet have two pole
Look at the diagram. The electricity supplier charges 14p per unit. How much did this electricity cost over the 24 hour period
Total units
31487-3146323unitsCost°
14(23)$322You have found that the net force exerted on the cylinder depends on several different independent variables in different ways. how can you combine those separate dependencies into one equation relating the net force to the relevant independent variables
The net force on the cylinder depends on several independent variables such as mass, acceleration, velocity, time, etc, and it is given as F(net) = ma.
Net force exerted on the cylinder
The net force on the cylinder is calculated from Newton's second law of motion.
F(net) = ma
F(net) = m(v/t)
where;
m is mass of the cylindera is acceleration of the cylinderv is velocity of the cylindert is time of motion of the cylinderThus, the net force on the cylinder depends on several independent variables such as mass, acceleration, velocity, time, etc, and it is given as F(net) = ma.
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How many moles of fluorine atoms are in a sample of fluorine that contains 7.45 x 1024 fluorine atoms?
12.4 moles of fluorine atoms are in a sample of fluorine that contains 7.45 x 10²⁴ fluorine atoms. Details about number of moles can be found below.
How to calculate number of moles?The number of moles in a molecule of a substance can be calculated by dividing the number of molecules by Avogadro's number.
According to this question, a sample of fluorine that contains 7.45 x 10²⁴ fluorine atoms. The number of moles in this sample can be calculated as follows:
no of moles = 7.45 × 10²⁴ ÷ 6.02 × 10²³
no of moles = 1.24 × 10¹
no of moles = 12.4moles
Therefore, 12.4 moles of fluorine atoms are in a sample of fluorine that contains 7.45 x 10²⁴ fluorine atoms.
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Which two changes would decrease the electric force between two charged particles? A. Decrease the charge of one of the particles. B. Increase the charge of one of the particles. C. Increase the distance between the particles. D. Decrease the distance between the particles. E. Increase the charge of both particles. Which two changes would decrease the electric force between two charged particles ? A. Decrease the charge of one of the particles . B. Increase the charge of one of the particles . C. Increase the distance between the particles . D. Decrease the distance between the particles . E. Increase the charge of both particles .
Answer:
A C
Explanation:
F = C q1q2/r^2 means that decreasing the charge (s) or increasing distance will decrease force
A C
what is the magnification of a mirror that
Answer:
1.1111111
Explanation:
The formula for magnification (M) as already given is:
M= V/U
Where V is anything that has to do with image . such as image height or image distance And U is anything that has to do with object such as object height or object distance .
Image height (V) = 2m
Object height(U) = 1.8m
M = V/U
M= 2/1.8
M= 1.111111
A car traveling along the highway needs a certain amount of force exerted on it to stop it in a certain distance. More stopping force is required when the car has:.
Answer:
Higher mass or higher speed
Explanation:
Higher mass will require more force
F= ma if m goes up F goes up to stop in the same distance
What concurrent motion at the glenohumeral joint should occur with shoulder abduction?
Glenohumeral external rotation is the concurrent motion at the glenohumeral joint which occurs with shoulder abduction.
What is Shoulder abduction?
This refers to the process in which the arm is moved away from the body which also affects the ball and socket joint.
This is referred to as glenohumeral joint in this case which moves in an external rotation manner.
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Calculate the change in time for each quarter of the
The change
in time for the first quarter is
v
track. Record the change in time in Table C of your
seconds.
Student Guide.
The change in time for the second quarter is
seconds.
The change in time for the third quarter is
seconds.
The change in time for the fourth quarter is
seconds.
Answer:
The change in time for the first quarter is seconds. = 2.07
The change in time for the second quarter is seconds.
=1.09
The change in time for the third quarter is seconds.
=0.95
The change in time for the fourth quarter is seconds.=0.81
Explanation:
Hope this helped.
What motion is expected of the scapula during arm elevation?
During arm elevation, the motion of the scapula moves is an upward rotation motion.
What is the scapula?The scapula otherwise known as the shoulder blade is a bone found in the upper limb and forms part of the shoulder and the back.
They are triangular in shape.
The scapula enables movement of the shoulder and the arm in about six ways.
During arm elevation, the motion of the scapula moves is an upward rotation motion: protraction, retraction, elevation, depression, upward rotation, and downward rotation.
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which lens is used to treat hypermetropia ?
Answer:
convex lense
Explanation:
people with hyperopia or hypermetropia are long sighted or farsighted, so what happens here is that light doesn't focus on the surface of the retina but behind it so the picture is moved forward by positioning a convex lense in front of a hypermetropic eye and is correctly centered in the retina.
You are ask to bring a cylindrical rod of length 45cm and diameter of 4.53cm to a mechanic. what is the weight of the aluminum rod if the density is 3.7*10^3kg/m^3
26.676 × 10³ kg is the weight of the aluminum rod.
To calculate specific weight:Given:
Length of cylindrical rod (h) = 45 cm
Diameter of a cylindrical rod = 4.53 cm
Radius of a cylindrical rod (r) = 2.3 cm
The density = 3.7*10^3kg/m^3
Volume of a cylindrical rod = πr²h
= 3.14× (2.3)² × 45
= 747.89 cm
= 7.4789 m
To find weight ;
ρ = [tex]\frac{Mass}{Volume}[/tex] ; ρ = Density
Mass = ρ × Volume
= 3.7 × 7.48 × 10³
=27.676 × 10³ kg
Therefore, the weight of the aluminum rod is 27.676 × 10³ kg.
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Find the work done by a weightlifter lifting a 20kg barbell 2.2 m upward at a constant speed.
Answer:
440J
Explanation:
First, let us find the weight of the barbell.
The formula to find the weight is :
W = m × g
Here,
m ⇒ mass ⇒ 20 kg
g ⇒ acceleration of gravity
Let us find it now.
W = m × g
W = 20 kg × 10 ms⁻²
W = 200N
And now let us find the work done by this weight lifter.
Work = Force × Displacement
Let us find it now.
Work = Force × Displacement
= 200N × 2.2m
= 440J
What name describes an object that orbits a planet?
Answer:
It can be either a moon or a satellite
Explanation:
a moon is a piece of space debris that orbits a planetdue to the planets gravitational force. Inherently, satellite mimics a moon but it is used for collecting data and etc
you plan to use a slingshot to launch a ball that has a mass of 0.025kg
From the calculations, the force required is 0.437 N.
What is force?The term force is defined a the product of mass and acceleration. The force is required to move the sling the required distance.
If mass = 0.019 kg and acceleration = 23 m/s2 then we know that F = ma
It then follows that the required force is;
F = 0.019 kg * 23 m/s2= 0.437 N
Missing parts
You plan to use a slingshot to launch a ball that has a mass of 0.019 kg. You want the ball to accelerate straight toward your target at 23 m/s2. How much force do you need to apply to the ball?
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what are challenges of securing a crime scene
At any crime scene, the two greatest challenges to the physical evidence are contamination and loss of continuity.
What is the meaning of physical evidence?In evidence law, physical evidence (also called real evidence or material evidence) is any material object that plays some role in the matter that gave rise to the litigation, introduced as evidence in a judicial proceeding (such as a trial) to prove a fact in issue based on the object's physical characteristics.
The two types of evidence at crime scenes:
Biological evidence (e.g., blood, body fluids, hair and other tissues)
Latent print evidence (e.g., fingerprints, palm prints, footprints)
The biggest impediment to an investigation is the removal or loss of a piece of evidence from the scene of a crime.
Hence, at any crime scene, the two greatest challenges to the physical evidence are contamination and loss of continuity.
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Which marine habitats would have the least access to primary producers?
a.
salt marshes and estuaries
b.
coral reefs and lagoons
c.
mangroves and intertidal zones
d.
deep sea and sea floor
Please select the best answer from the choices provided
A
B
C
D
Answer:
D
Explanation:
Deep sea and sea floor marine habitats would have the least access to primary producers. The correct option is (d).
Primary producers would have the least access to habitats in the deep sea and on the ocean floor. Primary producers are animals and plants that can use sunlight as an energy source to photosynthesize and make their own food, including algae and phytoplankton.
Because of the depth of the water, light penetration is constrained in the deep sea and sea floor settings, making it difficult for creatures that rely on photosynthesis to survive.
In comparison to other maritime ecosystems, where sunlight is more easily obtainable, such as coral reefs, lagoons, salt marshes, estuaries, mangroves, and intertidal zones, these habitats often have lower amounts of primary production.
Therefore, The correct option is (d) deep sea and sea floor.
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find the energy u of the capacitor in terms of c and q by using the definition of capacitance and the formula for the energy in a capacitor.
The energy stored in a capacitor is determined as ¹/₂Q²/C.
Energy stored in a capacitorThe energy stored in a capacitor is determined from the following formulas as shown below;
U = ¹/₂Q²/C
Where;
Q is the chargeC is capacitanceU is energy stored.Thus, the energy stored in a capacitor is determined as ¹/₂Q²/C.
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Question 2 of 32
What did Ernest Rutherford's experiment of a beam of alpha particles aimed
at a sheet of gold foil lead him to conclude?
Avery sees a UFO out her bedroom window and calls to report it to the police. She says, "The UFO moved 20.0 m east, 10.0 m north, and 30.0 m west before it disappeared." What was the displacement of the UFO while Avery was watching?
Answer:
10^2 + 10^2 = x^2
x = 14.2 m NW
what is true about solar system densities
The statement that is true about solar system densities is The denser planets lie closer to the Sun while the farther one planets from the sun have lower densities.
What is solar system?Solar system comprises of the the planets, moon, stars, comets , smaller bodies and how they orbit around the sun.
Therefore, The statement that is true about solar system densities is The denser planets lie closer to the Sun.
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write the function of force
Answer:
Force can make a body that is at rest to move. It can stop a moving body or slow it down. It can accelerate the speed of a moving body. It can also change the direction of a moving body along with its shape and size.
