The centripetal force is the force that keeps a body moving in a circular path.
The centripetal force is given by; F = mv^2/r
1) We have;
F = 5,600 N
v = 20 m/s
r =?
m = 700 kg
Making r the subject of the formula;
r =mv^2/F
r = 700 × (20)^2/5,600
r = 50 m
2) F = mv^2/r
F = 900 × (5)^2/30
F = 750 N
3) Making r the subject of the formula;
r =mv^2/F
r = 800 × (40)^2/ 16,000
r = 80 m
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hockey puck slides across the ice with an initial velocity of 7.2 m/s. It has a deceleration of 1.1 m/s2 and is traveling toward the goal 5.0 m away. How much time does the goalie have to stop the puck?
For this use the formula:
d = Vo * t - (at^2) / 2
Clearing t:
t = d/(v + 0.5*a)
Replacing:
t = 5 m / (7.2 m/s + 0.5 * (-1.1 m/s²)
Resolving:
t = 5 m / (7.2 m/s + (-0.55 m/s²)
t = 5 m / 6.65 m/s
t = 0.75 s
Result:
The time will be 0.75 seconds.
Which sphere includes rocks and minerals?
A.
atmosphere
B.
biosphere
C.
geosphere
D.
hydrosphere
Answer:
Geosphere
Explanation:
Answer:
The geosphere may be taken as the collective name for the lithosphere, the hydrosphere, the cryosphere, and the atmosphere.
The lithosphere refers to the land. Land consists of rocks and sand.
Explanation:
What is a heating curve of water?
Answer:
eye
Explanation:
Test populations are studied. Population one is found to obey the differential equation dy1/da=o.2y1 and the population two obeys dy2/da = -0.3y2 , where t is the time in years? Which population is growing and which is declining
Answer:
Population 1 indicates growth while Population 2 indicates a declining population
Explanation:
Here, using the given rate of change of the population, we want to determine which of the two is growing and which is declining
From the rate of change of both, we can determine this. Looking at the differential equation for the first one, we can see that it is of positive value. Looking at the differential equation for the second one. we can see it is of negative value
While a positive change rate indicates growth, a negative change rate will indicate otherwise
Hence, we can conclude that the one with a negative rate change will indicate a declining population
Two resistors are used in an experiment. Resistor 1 had a resistance of 4 ohms and resistor 2 has a resistance of 2 ohms. Which resistor will have the bigger current flowing through it if the potential difference is constant
Answer:
2ohms resistor
Explanation:
According to ohms law
V= IR
V is the potential difference
I is the current
R is the resistance
Since they have the same potential difference, this shows that they are connected in parallel
Let assume V = 20V
For the 4ohms resistor
I = V/R
I = 20/4
I = 5A
For the two ohms resistor
I = V/R
I = 20/2
I = 10A
This shows that the 2ohms resistor will have the bigger current because the smaller the load, the bigger the current and vice versa
Answer:
2
Explanation:
the earth rotates once every 24 hrs. a person in north america is 4.88*10^6 m from the earth's axis. what is the person's linear speed?
Answer:
The linear speed is approximately 354.88361 m/s
Explanation:
The given parameters are;
The time it takes the Earth to make one complete rotation = 24 hrs.
The distance of the location of the person in North America from the axis, r = 4.88 × 10⁶ m
The rotation per 24 hours = 1 rev/(24 h)
24 hours = 24 hours ×60 minutes/hour × 60 seconds/minute = 86,400 seconds
Therefore, we have, the rotation rate per second, n = 1 rev/(86,400 s)
The angular speed, ω = 2·π·(1 rev/(86,400 s)) ≈ 7.2722052 × 10⁻⁵ rad/s
The linear speed, v = ω × r
Therefore, v ≈ 7.2722052 × 10⁻⁵ rad/s × 4.88 × 10⁶ m = 354.88361 m/s.
The linear speed, v ≈ 354.88361 m/s.
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Answer:Substances
Explanation:
How much force is needed to accelerate 250 kg at a rate of 6 m/s/s?
Answer:
[tex]1500 \: \mathrm{N}[/tex]
Explanation:
The equation [tex]F=ma[/tex] represents the force needed.
Plugging in [tex]m=250[/tex] and [tex]a=6\: \mathrm{m/s^2}[/tex], we find that the force needed to accelerate a 250 kg object at a rate of [tex]6 \: \mathrm{m/s^2}[/tex] to be [tex]\fbox{$1500 \: \mathrm{N}$}[/tex].
you have boasted to your friends that you can ride your bicycle at 30 KPH (KM per Hour) over a 30KM race track comprising of two 15km laps. However, when you finish the first lap, your coach tells you that your average is only 15 KPH. How fast must you ride to bring your average speed to 30 kph.
Answer:
faster than 100 kph
Explanation:
Time taken to complete the first lap is
[tex]\dfrac{15\ \text{km}}{15\ \text{kph}}=1\ \text{hour}[/tex]
If the person's average speed is to be 30 kph then the complete race would be over in [tex]\dfrac{30}{30}=1\ \text{hour}[/tex]
But 1 hour has passed in the first lap already so, the next 15 km must be covered in 0 time.
So, the speed of the bike must be more than 100 kph.
A sample of gas in a syringe releases heat to its surroundings while the
plunger is pulled out. What are the correct signs of heat and work for this
change?
A. +Q+W
B. --W
O C. +Q, -W
D. -Q. +W
Answer: b
Explanation:
When heat is released by the system i.e. system loses heat. So, we take it as negative -Q
When the work is done on the system then it is considered as negative work on the system i.e. -W
In this case, the plunger is pulled out, and work is done on the system. So, we take work as negative work -W
Correct option is b
The answer is D.
-Q +W
What is the solution to the problem expressed to the correct number of significant figures?
105.4 - 31.681
O A.
74
OB.
73.7
O c.
73.72
OD.
73.719
O E. 73.7190
Answer:
73.72
Explanation:
For this subtraction problem, the answer or solution is expressed to the least precise of the numbers we are trying to subtract.
The least precise number is the number with the lowest significant numbers:
105.4 - 31.681
105.4 has 4 significant numbers
31.681 has 5 significant numbers
So;
105.4
- 31.681
------------------
73.719
----------------
The solution is therefore 73.72
How many moons are in our solar system?
Help for brainlist easy science plz
Answer:
the pics upside down fam
Explanation:
how to make measurements of length, volume and time?
Answer:
The volume of a regular object can be calculated by multiplying its length by its width by its height. Since each of those is a linear measurement, we say that units of volume are derived from units of length.
Explanation:
Answer:
length×Width×Height
Explanation:
Length×Width×Height is the formula for volume
Imagine a player throwing a football. Explain the action of what is happening to the hand and ball, as well as describe the action force and the reaction force
Answer:
Explanation:
When a player throws a football , he applies force on the ball , due to which ball accelerates in forward direction . This is the action force .
The ball also applies a force on the hand of the player . Due to it the player experiences a pushing force in backward direction . This is reaction force .
Due to this force , the player does not move in backward direction because of frictional force of the ground . The frictional force keeps him stationary .
Both speed and velocity measure how fast something is moving. However, since speed is not a _ it does not require an _
Answer:
vector
direction
Explanation:
Both speed and velocity measures how fast something is moving. Since speed is not a vector, it does not require direction to describe it.
Speed is the distance divided by the time taken. It is a scalar quantity in that it has only magnitude but no direction.
When describing speed, there is no need to specify its direction.
But when describing velocity, we specify both magnitude and direction.
A 0.016-kg piece of iron absorbs 1086.75 joules of heat energy, and its temperature changes from 25°C to 175°C. Calculate the specific heat capacity of iron. Equation : c = Q/mt * 2608.2 J/(Kg*°C) 3477.6 J/(Kg*°C) 452.8 J/(Kg*°C) 8.7 J/(Kg*°C)
Answer:
452.8125J/Kg°C
Explanation:
The quantity of eat absorbed by the iron is expressed as;
Q = mc∆t
Q = 1086.75 joules
m is the mass= 0.016kg
c is the specific heat capacity
∆t is the change in temperature = 175-25 = 150°C
Get c;
From the formula;
c = Q/m∆t
c = 1086.75/0.016(150)
c =1086.75/2.4
c = 452.8125J/Kg°C
Hence the specific heat capacity of iron is 452.8125J/Kg°C
3) What is the name of the group of elements that are a good conductor of heat?
Metals
Metalloids
Nonmetals
Noble gases
Answer:
Metals
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Which are examples of a Simple machine?
Question 4 options:
Hammer that swings on a nail
Light Switch that flips
Door stop that wedges at the bottom
The wheels on a bike
Answer:
the wheels on a bike
Explanation:
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Which of the following statements is TRUE concerning forces?
A. Forces in the same direction are added together
B. Forces in the opposite direction are subtracted from one another
C. An overall net force must be present in order for movement to occur
D. All of the above
Henry designs an experiment to find out why plants without flowers tend to be wind-pollinated and not animal-pollinated. He takes samples from a variety of plants and studies them in the field. He finds that the evidence supports his hypothesis. Which of these was the hypothesis Henry was testing? Choose the correct answer. Nonflowering plants make less pollen than flowering plants. Nonflowering plants lack the structures to attract animal pollinators. Nonflowering plants grow close to the ground and capture fewer pollinators. Nonflowering plants grow close to the ground because they have no pollen grains.
Answer:
option 2
Explanation:
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A cart has a momentum of 42 kg m/s to the right. Its mass is 6 kg.
→ What is its velocity?
show your work
Answer:
v = 7 m/s
Explanation:
p = m × v
42 = 6 × v
6v = 42
v = 42/6
v = 7 m/s
What is the main power and purpose of the legislative branch?
i always need help with physics
Answer:
House and Senate.
Explanation:
declares war, regulates interstate and foreign commerce and controls taxing and spending policies.
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A squirrel runs at a speed of 9.9 m, with 25 J of kinetic energy. What is the squirrel’s mass?
Answer:
The mass of the squirrel is 0.51kg
A squirrel runs at a speed of 9.9 m/s with 25 J of kinetic energy.
What is the squirrel’s mass?
Answer: 0.51 kg
An equilateral triangle is a triangle with all three sides of equal length. All of the angles in an equilateral triangle are equal.
What is the measure of angle θ in the triangle shown?(Figure 1) Recall that the sum of the angles in a triangle equals 180∘.
Answer:
60
Explanation:
it's equilateral...all angles are equal...180÷3=60ffs
Each angle of triangle is 60 degree.
What is equilateral triangle ?
If a Triangle having all the three sides of equal length and corresponding angle also to be equal than this triangle is known as equilateral triangle.
By definition of equilateral triangle it is known that all the sides of a triangle are equal and by the angle sum property tells us that a triangle's angles add up to 180. It also tells us that every side of a triangle is the same, and every angle of an equilateral triangle is the same.
Let each angle of triangle be x :
[tex]\begin{aligned} x+x+x&= 180^{o}\\3x&=180^{0}\\x&=60^{o}\end{aligned}[/tex]
Therefore, each angle of triangle is 60 degree.
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The dimensions of a rectangular section of forest land are 5.5 x 105 meters and 4.2 x 104 meters. Complete the following sentences.
2.31 x 10
2.31 x 10"
2.31 x 105
23.1 x 10°
2.31 x 1010
23.1 x 1010
square meters
square kilometers
The area of the land is
square meters in scientific notation
We can represent this area as
square kilometers in scientific notation.
Hint: 1 square kilometer is equal to 1 * 10 square meters,
The unit
is more appropriate to represent the area of the forest land in scientific notation
Reset
Next
im. All rights reserved.
Answer:
The complete sentence is presented as follows;
The area of the land is 2.31 × 10¹⁰ square meters in scientific notation
We can represent this area as 2.31 × 10⁴ square kilometers
Explanation:
The question relates to Laws of indices specifically in powers of 10
The given parameters of the dimensions of the rectangular section of forest land are;
5.5 × 10⁵ meters by 4.2 × 10⁴ meters
Therefore, the area, "A" the rectangular section of forest land is A = 5.5 × 10⁵ m × 4.2 × 10⁴ m = 2.31 × 10¹⁰ m²
1 km² = 1 × 10⁶ m²
∴ 2.31 × 10¹⁰ m² = 2.31 × 10¹⁰/(1 × 10⁶) km² = 2.31 × 10¹⁰ ⁻ ⁶ km² = 2.31 × 10⁴ km²
2.31 × 10¹⁰ m² = 2.31 × 10⁴ km²
Therefore, the complete sentence, can be written as follows;
The area of the land is 2.31 × 10¹⁰ square meters in scientific notation
We can represent this area as 2.31 × 10⁴ square kilometers.
Answer:
The area of the land is 2.31 × 10¹⁰ square meters in scientific notation
We can represent this area as 2.31 × 10⁴ square kilometers
The unit square kilometers is more appropriate to represent the area of the forest land in scientific notation
Explanation:
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what are the importance of gravitation
Answer:
Gravity is very important to us. We could not live on Earth without it. The sun's gravity keeps Earth in orbit around it, keeping us at a comfortable distance to enjoy the sun's light and warmth. It holds down our atmosphere and the air we need to breathe.
Answer:
Newton's universal law of gravitation explains the attractive force between any two objects which have mass.It explains how we are able to stand on earth, why a body thrown up falls to the ground, why planets revolve around the sun and why the moon revolves around the earth, and so on.This law says that as the distance between two objects increases their force of attraction decreases. This explains why we are not pulled towards a distant star even though it is more massive than the Earth.This law leads to the derivation of an expresion for the acceleration due to gravity...With the help of gravitation, we can understand the force experience by various planets , stars etc. with each other.This law makes us understand why the planets revolve around the sun and why satellite revolve around the planets.Gravitation explains us how the planets are held by the sun and why don't they fall on it.It can also explain how tides are formed on earth. (Tides are due to the gravitational forces of the sun and the moon).Example:
Astronauts reach a distant planet and find it takes eight times as much force to lift objects there than it does on Earth. What is the acceleration due to gravity on this planet?
On this planet the force of gravity is eight times larger. Since the masses of objects are a fundamental property of those objects, they cannot change, that means the value of g must be eight times larger as well:
[tex]8F_{grav}=m(8g)8F[/tex]
[tex]=m(8g)[/tex]
The value of g on Earth is 9.8 m/s2, so 8 × 9.8 m/s2 = 78.4 m/s2.
what volume of alcohol will have the same mass as 4.2m^3 of petrol? (density of alcohol 0.4kg/m^3 and petrol is 0.3kg/m^3)
Answer:
3.15m³
Explanation:
To solve this problem, let us first find the mass of the petrol from the given dimension.
Mass = density x volume
Volume of petrol = 4.2m³
Density of petrol = 0.3kgm⁻³
Mass of petrol = 4.2 x 0.3 = 1.26kg
So;
We can now find the volume of the alcohol
Volume of alcohol = [tex]\frac{mass}{density}[/tex]
Mass of alcohol = 1.26kg
Density of alcohol = 0.4kgm⁻³
Volume of alcohol = [tex]\frac{1.26}{0.4}[/tex] = 3.15m³
a persons eardrum has an area of 0.000200 m^2. How much force does the outside air at 1.00 atm exert on the eardrum
Answer:
20.3N
Explanation:
Given parameters:
Area of the eardrum = 0.0002m²
Pressure on the eardrum = 1atm = 101325Nm⁻²
Unknown:
Force exerted on the eardrum = ?
Solution:
Pressure is the force per unit area impacted on a body.
Pressure = [tex]\frac{Force }{area}[/tex]
Force = Pressure x area
Now insert the parameters and solve;
Force = 101325Nm⁻² x 0.0002m² = 20.3N