The time taken before the two people will meet is 11 minutes.
Time taken before they meetThe time taken before the two people will meet is calculated from the principle of relative velocity.
(ω₁ + ω₂)t = θ
where:
ω₁ is angular speed of the first personω₂ is the angular speed of the second persont is time of motionθ is angular displacement(1.11 x 10⁻³ + 8.4 x 10⁻³)t = 2π
(9.51 x 10⁻³)t = 2π
t = 2π/9.51 x 10⁻³
t = 660.7 secs
t = 11 mins
Thus, the time taken before the two people will meet is 11 minutes.
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which of the following travels the fastest
Answer:
All move at the same speed
Explanation:
because they are all waves of the electromagnetic spectrum and they all travel at the speed of light
(300 000 km/s)
Which moon shows evidence of rainfall and erosion by some liquid substance?.
Answer:
Titan.It is the largest moon of Saturn
the mechanical advantage of a simple machine is 3 and its velocity ratio is 4 find its efficiency
Answer:
75%
Explanation:
Efficiency=MA/VR*100
=3/4*100
=0.75*100
=75%
The speed of sound in wood is 3300 m s−1 and the speed of sound in air is 330 m s−1. A hammer hits one end of a 33 m long plank of wood. Find the difference in time between the sound waves being detected at the other end of the plank and the sound being heard through the air.
The difference in time between the sound waves being detected at the other end of the plank and the sound being heard through the air will be 0.09 sec.
What is a sound wave?A sound wave is produced when a medium begins to vibrate. When an entity vibrates, a pressure wave is formed, which causes sound.
Given data;
The speed of sound in wood,u= 3300 m/s
The speed of sound in air,v=330 m/sec
long plank of wood, L=33 m
The time period in the air was found as;
T₁ = 33 m / 330 m/sec
T₁= 0.1 sec
The time period in wood ;
T₂= 33 m / 3300 m/sec
T₂=0.01 sec
T = T₁ - T₂
T=0.1-0.01
T=0.09 sec
Hence, the difference in time between the sound waves being detected at the other end of the plank and the sound being heard through the air will be 0.09 sec.
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A golfer wishes to chip a shot into the hole 50m away on flat level ground. if the ball flies to a maximum height of 25m, what speed must it have initially to reach the hole?
it's grade 11 physics, so the more equations the better, thanks :d
The speed the golf must have initially to reach the hole is 31.32`1 m/s.
What is projectile?When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion.
A golfer wishes to chip a shot into the hole 50m away on flat level ground. if the ball flies to a maximum height of 25m.
The angle with which the ball flies,
tan θ = 25 m/ (50m/2)
tan θ =1
θ =45°
If u is the initial speed, the maximum height of the ball is
H = u² sin²θ / 2g
Put the values, we get
25 = u² sin²45 / (2x9.81)
u = 31.321 m/s
Thus, the initial speed is 31.321 m/s
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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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A crate hangs from a ring at the middle of a rope, as the drawing illustrates. a person is pulling on the right end of the rope to keep the crate in equilibrium. can the rope ever be made to be perfectly horizontal
Answer:
No
Explanation:
In order for the rope to be perfectly horizontal, there must be a vertical component in tension
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..
A downward force of magnitude 5 n is exerted on the book by the force of.
Answer:
A downward force of magnitude 5 N is exerted on the book by the force of ... Do the downward force in Part A (gravity) and the upward force in Part B ...
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)$322which group on the periodic table wants to gain 2 electrons?
Answer:
Periodic
Explanation:
The groups in the periodic table that want to gain electrons are groups; 15, 16 and 17. The members of these groups are mostly nonmetals.
A car is moving with constant velocity of 30m/s what is it's acceleration in 10s
Answer:
0 m/s²
Explanation:
Acceleration is defined as the rate of change of velocity:
[tex]acceleration = \frac{change \space\ in \space\ velocity}{time taken}[/tex] .
As the velocity is constant, change in velocity = 0.
∴ acceleration = 0/ 10
= 0 m/s²
Tatenda is making tea and
toast. He uses an 800W
toaster for 2.5 minutes and
a 2kW kettle for 5 minutes.
What is the total cost for
the energy used if
electricity costs 10p per
unit?
The total cost for the energy used if electricity costs 10p per unit is determined as 2p.
Total energy consumedThe total energy consumed during the process is calculated as follows;
E = Pt
where;
P is power (kW)t is time (hr)E = (800 W/1000) x (2.5 /60) + (2 kW) x (5/60)
E = 0.8 kW x 0.042 hr + 2kW x 0.083 hr
E = 0.0336 kW-hr + 0.166 kW-hr
E = 0.1996 kW-hr
Cost of the energy consumptionC = E x 10p
C = 0.1996 kW-hr x 10p
C = 1.996p
C ≈ 2p
Thus, the total cost for the energy used if electricity costs 10p per unit is determined as 2p.
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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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Even though it's not very popular these days, I like our system . Getting together to talk about who the best candidate might be makes me feel like we're really part of democracy. After the debate, we vote. In my state, any voter can participate. It's all pretty informal. What system for selecting party nominees does the passage describe? . Mixed primary B. Caucus C. Open primary . Closed primary
Answer:
I think it would be C: open primary
Explanation:
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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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
which of the following travels the fastest
All move at the same speed.
Explanation:
Electronic magnetic spectrum includes radio waves, micro waves, infra red, visible light, ultra violet, x-rays, gamma rays. These all electromagnetic waves travel at the same speed of light of about 300,000,000 m/s through vacuum. Though they have different wavelength, their speed is same.
what will be the effect on the weight of displaced water if the load is added into the ship floating in the ocean?write with reason.
Answer:
the weight of displaced liquid is equal to the submerged part of ship. so on adding more weight to ship net buyoncy acting on ship increases and more the ship sinks in sea thus weight of displaced liquid increases.
Explanation:
How much thermal energy does it take to raise the temperature of 4.5kg of water for 12C to 97C the specific heat of water is 1.68kj
Answer:
The amount of thermal energy needed is 626.6 J
Explanation:
When a certain amount of heat energy Q is supplied to a substance, the temperature of the substance increases according to the equation
where m is the mass of the substance is the specific heat capacity of the substance is the change in temperature
Answer:
642.6 kJ
Explanation:
Using the formula for heat energy required:
[tex]Q = mc \Delta T[/tex] ,
where:
C → specific heat capacity = 1.68 kJ/kg°C
Q → heat energy required = ?
m → mass of the object = 4.5 kg
ΔT → change in temperature = 97°C - 12°C = 85°C,
Q = 4.5 x 1.68 x 85
= 642.6 kJ
1) Two students are making their way to school. One has a bike and the other
is on foot. If the student on foot is going at a speed of 3 m/s and they make
it to school in 30 s, how far away was the school?
To find how far away the school is:
3m/s * 30 s = 90m
Hope it helps!
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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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
5. Calculate the area if the force is 368N and the pressure is 28Pa..
The area would be 13.1429 Meter².
Answer:
[tex]\boxed {Area = 13.14 m^{2}}[/tex]
Explanation:
Formula applied :
[tex]\boxed {Area = \frac{Pressure}{Force}}[/tex]
Given :
Force = 368 NPressure = 28 PaSolving :
Area = 368/28Area = 92/7Area = 13.14 m² (approx.)What do you need to add to vector A to get zero as a result?
To get zero as a resultant of vector A, we need to add another vector that has the same magnitude and different direction to vector A.
What are vectors?Vectors are those quantities that has both magnitude and direction.
The result or resultant of two vectors is the single value obtained when two vectors are combined.
For a vector to have a resultant of zero, the vector need to be added to another vector of the same magnitude and different direction.
From the above,
To get zero as a resultant of vector A, we need to add another vector that has the same magnitude and different direction to vector A.
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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.
can a person run at a speed of 20 meters per second
Answer:
No
Explanation:
The fastest recorded time for a person to run 100 metres is 9.58 seconds, which is the equivalent of 10.4 metres per second
Answer:
No
Explanation:
Humans can run as fast as 19.3m/s, using their full possible energy.
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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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
