The angle that the rod makes with the horizontal is 9⁰.
What is the vertical direction for left spring?The vertical direction of the left spring is determined by applying the principle of equilibrium force as shown below.
The given parameters;
mass of the rod, m = 1.2 kgweight of the rod, w = mg = 1.2 x 9.8 = 11.76 Nspring constant for left spring, K_L = 65 N/mspring constant for right spring, K_r = 30 N/mstretch in the left spring, = X_Lstretch in the right spring, = X_r length of the rod, L = 0.67 mangle the rod makes with the horizontal, θ = ?Apply the principle of equilibrium of force in vertical direction for left spring;
K_L(X_L) = 0.5(W)
65(X_L) = 0.5(11.76)
X_L = 5.88/65
X_L = 0.09 m
Apply the principle of equilibrium of force in vertical direction for right spring;
K_r(X_r) = 0.5(W)
30(X_r) = 0.5(11.76)
X_r = 5.88/30
X_r = 0.196 m
The angle made with the horizontal is calculated as;
θ = arc tan(X_r - X_L) / L
θ = arc tan[(0.196 - 0.09) / 0.67]
θ = arc tan(0.158)
θ = 8.99⁰
θ ≈ 9⁰
Learn more about angle made by rod here: https://brainly.com/question/14085205
#SPJ1
If the potential energy is 2000 J with a mass of 7 kg, what is the height of the object?
Answer: Height of object = 29.13475
Hope this helps!
Answer: 29.12 Meters.
Explanation:
Potential energy = Mass * Gravity * Height. | (P=mgh)Rearrange the equation for height: H=(p/(g*m))Place the values: H=(2000J)/(9.81 * 7kg)Answer equals 29.12MWhat is the biggest agent of erosion?
a tornadoes
b pollution
c gravity
d water
Answer:
D - Water
Explanation:
When an object experiences balanced forces on Earth, it would be?
A)at rest
B)moving northward
C) moving southward
D) floating around.
When an object experiences balanced forces on Earth, it would be at rest (option A).
What is a balanced force?Balanced forces are those forces that are opposite in direction and equal in size. They are considered as a state of equilibrium. Balanced forces are unable to change the motion or direction of an object i.e. they keep an object moving at a constant velocity.
When forces are balanced, they cancel each other out, resulting in no change in motion for the object they are acting on. Unbalanced forces do not cancel each other out, and result in a change in motion for the object they are acting on.
The characteristics of balanced forces are as follows:
The condition of rest or movement of an item does not change with balanced forcesBalanced forces do not permit a moving item to shift direction or speedThe net forces acting are zero with balanced forces.This suggests that an object on Earth will remain at rest if it experiences balanced forces.
Learn more about balanced force at: https://brainly.com/question/19127263
#SPJ1
A space probe of mass 1,000 kg is launched to Jupiter. How much would it weigh once at Jupiter? (Assume Jupiter's gravitational acceleration to be 24.79 m/s².)
View Available Hint(s) for Part A
A space probe of mass 1,000 kg is launched to Jupiter. How much would it weigh once at Jupiter? (Assume Jupiter's gravitational acceleration to be 24.79 m/s².)
24,790 N
10,000 N
1,000 N
247.9 N
The weight of the space probe of mass 1000 kg is 24790 N.
What is weight?Weight is the product of mass and gravitational acceleration
To calculate the weight of the Jupiter, we use the formula below.
Formula:
W = mg............. Equation 1Where:
W = Weight of the space probem = Mass of the Space probeg = Acceleration due to gravity of JupiterFrom the question,
Given:
m = 1000 kgg = 24.79 m/s²Substitute these values into equation 1
W = 1000×24.79W = 24790 NHence, The weight of the space probe is 24790 N.
Learn more about weight here: https://brainly.com/question/21220435
#SPJ1
The rate of decay of a radioactive sample is given by R1 at time t1 and R2 at a later time t2 . The mean life of this radioactive sample is:
Hope this answer helps you
Once the hydrogen in the core of a star runs out, what element does the star begin to fuse
next?
Once the hydrogen in the core of a star runs out, then the element, Helium begins to fuse.
Helium begins to fuse, once the core of a star runs out, as helium is then, the only lightest element left in the core of the star.
The energy produced in the fusion processes decreases, as heavier and heavier element starts to fuse. Stars become the main sequence stars after they fuse hydrogen.
Once the hydrogen in the core runs out, the stars could not hold against gravity more, thereby increasing the pressure and temperature in the core of the star.
To Know more about hydrogen and the core of a star: https://brainly.com/question/12809009
Are the results of the investigation described below valid? If not, what should the scientists do next? Explain your reasoning.
Passage A scientist wrote a report that communicates the steps he performed in an investigation, the data he gathered, and his conclusions. A second scientist used the report to carry out the same investigation. However, her results were very different.
In the case described above, there are at least three possible scenarios:
The first research or experiment was correct but wrongly documentedThe first experiment was correct and correctly documented; andThe second research was not properly executed according to the documentation of the first researcher.In any of the above cases, the correct step to take, if it is possible is for both scientists to meet, review notes and jointly execute a third investigation. This is because, in science, the guesswork only happens during hypothesis formulation.
Once a principle has been established via experimentation and properly documented, the same research can be replicated in any other location by any other person with the end results being the same if they all follow the exact report documented when the investigation was deemed successful.
Learn more about experiments:
https://brainly.com/question/15088897
#SPJ1
No no no no. no no no no
How many seconds would it take a Dalmatian to accelerate from rest to its
top speed of 16.5 m/s over a distance of 11 meters?
It take 1.33 second to a Dalmatian to accelerate from rest to its top speed.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
given parameters:
initial speed, u = 0
final speed, v =16.5 m/s.
distance covered, s = 11 meters.
We have to find: time t = ?
We know that:
s = ut +(v-u)t/2
⇒ 11 = 0 + (16.5 -0)t/2
⇒ t = 22/16.5 second = 1.33 second.
So, it take 1.33 second to a Dalmatian to accelerate from rest to its top speed.
Learn more about acceleration here:
brainly.com/question/12550364
#SPJ1
The reasoning developed for counting microstates applies to many other situations involving probability. For example, if you flip a coin 5 times, how many different sequences of 3 heads and 2 tails are possible? Answer: 10 different sequences, such as HTHHT or TTHHH. In contrast, how many different sequences of 5 heads and 0 tails are possible? Obviously only one, HHHHH, and our equation gives 5!/[5!0!]=1, using the standard definition that 0! is defined to equal 1 If the coin is equally likely on a single throw to come up heads or tails, any specific sequence like HTHHT or HHHHH is equally likely. However, there is only one way to get HHHHH, while there are 10 ways to get 3 heads and 2 tails, so this is 10 times more probable than getting all heads. Use the expression 5!|[N!(5−N)!] to calculate the number of ways to get 0 heads, 1 head, 2 heads, 3 heads, 4 heads, or 5 heads in a sequence of 5 coin tosses. Make a graph of the number of ways vs. the number of heads.
Answer:
Explanation:
10 different sequences
There are 100 g of lodine-131. After 16 days, how many grams of lodine-131 is left?
Answer:
25g
Explanation:
According to a quick internet search, the half-life of I-131 is 8 days.
The amount left after 16 days can be calculated with the radioactive exponential decay formula:
[tex]A_(_t_)=A_0e^(^\frac{\ln(.5)}{T}^)^t[/tex]
Where:
[tex]A_(_t_)[/tex] = the amount left as a function of time
[tex]A_0[/tex] = the original amount (100g)
T = the half-life of the isotope (8d)
t = time (16d)
So:
[tex]A_(_t_)=A_0e^(^\frac{\ln(0.5)}{T}^)^t\\A_(_t_)=(100g)e^(^\frac{\ln(0.5)}{8d}^)^(^1^6^d^)\\A_(_t_)=(100g)e^-^2^(^\ln(2))[/tex]
[tex]A_(_t_)=25g[/tex]
This answer is intuitive because the isotope has been through two half-lives:
[tex]100g(\frac{1}{2})(\frac{1}{2})=25g[/tex]
A dryer uses electrical energy to spin a drum and produce heat. It uses 220 V of an electric charge and 50 A of electric current. What is the dryer power?
The power used by the dryer to spin the drum and produce heat is 11000 Watts.
What is the power of the dryer?Power is simply the quantity of energy transferred per unit time.
This is expressed as;
P = v × I
Where v is voltage and I is current.
Given that;
Voltage v = 220VCurrent I = 50APower P = ?Plug the given values into the above formula and solve for P.
P = v × I
P = 220V × 50A
P = 11000 Watts
Therefore, the power used by the dry is 11000 Watts.
Learn more about Ohm's law here: brainly.com/question/12948166
#SPJ1
Help me please I need it as soon as possible
Answer: B im sorry if its wrong
Explanation:
I NEED ASAP
Heat energy in the atmosphere always moves _____.
A.
from cloudy to clear regions
B.
from low pressure to high pressure regions
C.
from high temperature to low temperature areas
D.
from low temperature to high temperature areas
Answer:
from high temperature to low temperature areas
Explanation:
If it is correct, could you please give me brainliest? I would really appreciate it! Thank you!
Use the drop-down menus to complete the sentences.
The first step in a bill becoming a law is for the bill to be
.
Next, the bill goes to
to be marked up, dropped, or sent to the floor.
After that, the bill is debated on the floor and can pass on a majority vote of
.
In the next stage, the bill must go to the
to repeat the process.
After the bill is resolved in the
, it goes to the president.
The first step towards a bill becoming a law is for the bill to be introduced in Congress.
Next, the bill goes to a committee to be marked up, dropped, or sent to the floor.
After that, the bill is debated on the floor and can pass with a majority vote of the house that sponsored it.
In the next stage, the bill must go to the other chamber, to repeat the process.
After the bill is resolved in the conference committee, it goes to the president.
What is the Congress?The Congress is sometimes referred to as Senate and it can be defined as a deliberative assembly or council of elected citizens found in the upper chamber or house of a bicameral legislature.
This ultimately implies that, Congress is a federal legislative arm of government of the United States of America, which is saddled with the responsibility of enacting and passing federal laws and bills for the citizens, with the steps enumerated above.
Generally speaking, the first step of making bill to become a law is introducing it to the Congress while the last step is the resolution of a bill if it is voted in favor by at least 44 senators, and then it finally goes to the president for assent through his or her signature.
Read more on a bill here: https://brainly.com/question/18574075
#SPJ1
Complete Question:
Use the drop down menus to complete the sentences.
The first step in a bill becoming a law is for the bill to be _____.
Next the bill goes to _____ to be marked up, dropped or sent to the floor.
After that, the bill is debated on the floor and can pass on a majority vote of ____.
In the next stage, the bill must go to the ____ to repeat the process.
After the bill is resolved in the ____, it goes to the president.
Expert help me i will mark the brainliest
Floods are the most common type of natural disaster, occurring when an overflow of water submerges normally dry land.
What is flood about?Floods are frequently caused in coastal areas by heavy rainfall, rapid snowmelt, or a storm surge from a tropical cyclone or tsunami.
Flooding has a negative impact on people's lives. Damage to property and infrastructure Road closures, erosion, and landslides are all possible.
It leads to destruction of houses and properties.
In order to control flooding, it is important to clear the gutters and have an adequate channel for water to pass.
Learn more about flood on:
https://brainly.com/question/12686086
#SPJ1
3. A beach ball is inflated to a volume of 25L of air at 15°C. During the afternoon,
the volume increases by 1L. What is the new temperature outside?
Answer:
Below
Explanation:
P1V1/T1 = P2V2/T2 T MUST be in Kelvin
P1 = P2 so this becomes
V1/T1 = V2/T2
25/ (273.15 + 15) = 26 / (273.15 + X) where 'X' is the °C afternoon temp
X = 26.5 °C
A 12 kg chair initially at rest on a horizontal floor requires a 112 N horizontal force to set it in motion.
Calculate the coefficient of static friction.
Round your answer to two decimal places (the hundredth place). You do not need to include units.
Explanation:
0.98
The coefficient of static friction is calculated by dividing the force required to set the chair in motion (112 N) by the weight of the chair (12 kg). This gives us 112/12 = 9.3. The coefficient of static friction is equal to the ratio of the force required to set the chair in motion to the weight of the chair, so 9.3/9.8 = 0.98.
A 5kg block is pulled across a table by a horizontal force of 40 N with a frictional 8N opposing the motion. Calculate the acceleration of the object
Answer:
[tex]\huge\boxed{\sf a = 6.4 \ m/s^2}[/tex]
Explanation:
Given Data:Horizontal Force = 40 N
Frictional Force = 8 N
Mass = m = 5 kg
Required:Acceleration = a = ?
Formula:[tex]\displaystyle a =\frac{F}{m}[/tex]
Solution:Since frictional force is opposing force, the resultant force will be horizontal force minus frictional force.
So,
Force = Horizontal force - Frictional forceForce = 40 - 8
Force = 32 N
So,
[tex]\displaystyle a = \frac{F}{m} \\\\a =\frac{32}{5} \\\\a = 6.4 \ m/s^2\\\\\rule[225]{225}{2}[/tex]
31. Box A of mass m sits on the floor of an elevator, with box B of mass 2 m on top of it, as shown in the figure above. The elevator is moving upward and slowing down. F_A is the magnitude of the force exerted on box A by box B, F_B is the magnitude of the force exerted on box B by box A, and F_g is the magnitude of the gravitational force exerted on box B. Which of the following ranks the forces in order of increasing magnitude?
(A) F_B=F_A=F_g
(B) (F_B=F_A)
(C) F_B<(F_A=F_g)
(D) F_g
The rank of the forces in order of increasing magnitude is Fg < FB < FA.
option D is the correct answer.
What is the net force on elevator moving upwards?The net force on an elevator moving upwards is determined by the force of gravity acting downwards and the normal force of the elevator acting upwards.
That is, the two forces acting on a person when he is moving in an elevator are:
the force of gravity and the normal force by the elevator.When the two forces are of equal magnitude, the elevator will be static or moving with constant velocity.
When the magnitude of the two force are unequal, then the elevator will be accelerating upward or downward.
Since the elevator is moving upwards, it implies that the normal force is greater than the force of gravity acting downwards.
the normal force = FB + FAForce of gravity = FgThe box at the bottom will feel much heavier due to the weight of box and gravity acting downwards.
FA = FB + Fg
Thus, the force exerted on box A is the greatest, followed by the force on box B and then, the smallest is force of gravity.
Learn more about normal force here: https://brainly.com/question/16723324
#SPJ1
The moon's gravity is one-sixth that of the earth. How does the period of a 0.50m long pendulum on the moon compare to the period of the same pendulum on Earth?
Question 20 options:
The period is the same on the moon and on Earth.
The period on Earth is longer.
There isn't enough information to answer the question.
The period on the moon is longer.
The period on the moon is longer. So, the option(D) is correct.
What is a simple pendulum?A basic pendulum is a machine in which the point mass is hung from a fixed support by a light, inextensible string. The mean position of a simple pendulum is shown by a vertical line flowing through a fixed support.
The length of the simple pendulum, abbreviated L, is the vertical distance between the point of suspension and the suspended body's center of mass (when it is in mean position). The resonant mechanism supporting this type of pendulum has a single resonant frequency.
Time period of a pendulum is given by: T = 2π√(l/g)
Where: l = length of the pendulum and g = acceleration due to gravity.
As the moon's gravity is one-sixth that of the earth, we can conclude from the expression of pendulum that the period on the moon is longer.
Learn more about simple pendulum here:
https://brainly.com/question/14759840
#SPJ1
You measure the period of a pendulum and get 25s. What is the length of the pendulum?
Answer:
Explanation:
T = 25 s
25 = 2*pi*sqrt(L/9.8)
L = 155.14 m
a 0.2 kg vase has a potential energy of 100j
The height above the ground in which the vase is raised is 51.02 m.
What is the height of the vase?
The height above the ground in which the vase is raised is calculated by applying the formula for gravitational potential energy.
Gravitational potential energy of an object is the energy possessed by the object due to the object's position above the ground.
Mathematically, the formula for gravitational potential energy is given as;
P.E = mgh
where;
m is the mass of the objectg is acceleration due to gravityh is the height above the ground in which the object is raisedThe given parameters include;
mass of the vase = 0.2 kg
potential energy of the vase = 100 J
acceleration due to gravity = 9.8 m/s²
h = P.E / mg
h = (100) / (0.2 x 9.8)
h = 51.02 m
Thus, the height of the vase is a function of the potential energy and mass of the vase.
Learn more about potential energy here: https://brainly.com/question/1242059
#SPJ1
The complete question is below:
a 0.2 kg vase has a potential energy of 100j. What is the height of the vase?
heat flow occurs between two bodies in thermal contact. which property determines the direciton of heat flow
When two items with different temperatures come in contact with one another, energy moves from the hotter (higher temperature) object to the cooler (lower temperature) object until both objects reach the same temperature.
What is thermal contact?Once the temperatures are identical, there is no net heat transfer since the quantity of heat transported from one object to the next and the amount of heat radiated are equal.
Temperature change is one of the main consequences of heat transfer: Cooling brings down the temperature while heating brings it up.
Experiments reveal that three factors—the change in the substance's temperature, its mass, and specific physical characteristics associated to the substance—have an impact on how much heat is transported to or from a substance.
Therefore, When two items with different temperatures come in contact with one another, energy moves from the hotter (higher temperature) object to the cooler (lower temperature) object until both objects reach the same temperature.
To learn more about temperature, refer to the link:
https://brainly.com/question/15267055
#SPJ1
Two crates, 10 kg and 15 kg respectively, are connected with a thick rope according to the diagram. A force, to the right, of 500 N is applied. The boxes move with an acceleration of 2 m/s^2 to the right. One third of the total frictional force is acting on the 10 kg block and two thirds on the 15 kg block. Calculate: the magnitude and direction of the total frictional force present.
Explanation:
Total frictional force = 500 N
Magnitude of frictional force on 10 kg block = 500 N/3 = 166.67 N
Magnitude of frictional force on 15 kg block = 500 N/3 x 2 = 333.33 N
Direction of frictional force on 10 kg block = Left
Direction of frictional force on 15 kg block = Left
A frozen salmon is sliding across the sea in ice in the +X^ direction. A hungry polar bear does -40J of the work and stops the salmon. If the polar bear applied its force over 0.5m, what force did it apply (include direction)?
A hungry polar bear does -40J of the work and stops the salmon. If the polar bear applied its force over 0.5m. The force is 80 Newton.
What is Force?
A force is an effect that can alter an object's motion according to physics. A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe force is as a push or a pull.
A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F. (formerly P).
The net force acting on an object is equal to the rate at which its momentum varies over time, according to Newton's second law in its original formulation. This law says that an object's acceleration is constant if the object's mass is constant.
Therefore, A hungry polar bear does -40J of the work and stops the salmon. If the polar bear applied its force over 0.5m. The force is 80 Newton.
To learn more about Force, refer to the link:
https://brainly.com/question/13191643
#SPJ1
SECTION IV
QUESTION: 2. On the football field, a 95-kg halfback makes a turn. The halfback
sweeps out a path that is a portion of a 12-meter-radius circle. If in 2.1 seconds, the
halfback completes a quarter-circle turn. Determine the halfback's speed and
acceleration.
Pls solve this
Answer:
Speed = (2πr)/t = (2π x 12 m)/2.1 s = 28.6 m/s
Acceleration = (vf-vi)/t = (28.6 m/s - 0 m/s)/2.1 s = 13.6 m/s^2
Only the first problem below please thank you so much
The initial speed of the second ball is c. 26.8 m/s
What is speed?Speed is the distance per unit time moved by an object/
How to find the initial speed of the ball?Since the ball is a projectile, to find the initial speed of the second ball, we need to find the maximum height of the first ball using
h = u²sin²Ф/2g where
u = initial velocity of ball = 32 m/s, Ф = angle of projection = 57° and g = acceleration due to gravity = 9.8 m/s²Substituting the values of the variables into the equation, we have
h = u²sin²Ф/2g
h = (32 m/s)²× (sin57°)²/(2 × 9.8 m/s²)
h = 1024 m²/s²× (0.8387)²/(19.6 m/s²)
h = 1024 m²/s²× (0.7034)/(19.6 m/s²)
h = 720.249 m²/s²/(19.6 m/s²)
h = 36.75 m
Now, since a second projectile is thrown vertically to the same maximum height, we need to find its initial speed.
Using the equation of motion v² = u² - 2gh where
u = initial speed, v = speed at maximum height = 0 m.s, g = acceleration due to gravity = 9.8 m/s² and h = maximum height = 36.75 mMaking u subject of the formula, we have
u = √(v² + 2gh)
Substituting the values of the variables into the equation, we have
u = √(v² + 2gh)
u = √[(0 m/s)² + 2 × 9.8 m/s² × 36.75 m]
u = √[0 m²/s² + 19.6 m/s² × 36.75 m]
u = √[720.3 m²/s²]
u = 26.84 m/s
u ≅ 26.8 m/s
So, the initial speed of the second ball is c. 26.8 m/s
Learn more about initial speed of ball here:
https://brainly.com/question/28964058
#SPJ1
A boy rides his bicycle 2.08 km. The wheels have radius 25.5 cm. What is the total angle (in rad) the tires rotate through during his trip?
The total angle the tires rotate through during his trip is 8156 radian.
What is angle?The study of shapes and their measurements falls under the umbrella of geometry, a subfield of mathematics. It also emphasises how the shapes are arranged in relation to one another and their spatial characteristics. We are aware that geometry is divided into 2D and 3D categories.
All geometrical shapes are first created by the intersection of points, lines, rays, and plane surfaces. The distance between the two lines is known as a "Angle" when the two lines or rays converge at a single location.
Given that:
A boy rides his bicycle 2.08 km.
The wheels have radius 25.5 cm.
So, perimeter of the wheel = 2πr = 2π×25.5 cm = 160.22 cm.
Total angle the tires rotate through during his trip
= ( 2.08 km/ 160.22 cm)× 2π
= 8156 radian.
Learn more about angle here:
https://brainly.com/question/28451077
#SPJ1
Earth's third atmosphere (atmosphere III) was a thick atmosphere of primarily water vapor and carbon dioxide.
What occurred during the third atmosphere on Earth?
Responses
a Increased oxygen allowed reptiles to thrive.
b Helium and hydrogen gases escaped Earth's gravity.
c Heat energy was retained, and water vapor condensed.
d Ultraviolet light split water vapor into hydrogen and oxygen.
During the third atmosphere on Earth, the same effect on Earth as it did on Mars. Heat energy was retained while water vapor was condensed.
What was the third atmosphere of Earth-like?The third atmosphere on the planet was created by volcanic outgassing and comet ice. This atmosphere had no oxygen, but plenty of carbon dioxide, water vapor, nitrogen gas, and methane gas.
When Earth's crust started to cool 2.5 billion years ago, there was less water vapor in the atmosphere, and more water condensed as liquid, resulting in the formation of Earth's third atmosphere.
This atmosphere was produced by volcanic outgassing, and it was the first to survive on Earth. A planet's atmosphere did not form through accretion while the formation of the planet's star.
Instead, its atmosphere forms as a result of internal volcanic activity or the aggregation of material from comet impacts.
Learn more about Earth's second atmosphere, here:
brainly.com/question/6940359
#SPJ1