Answer:
0.87
Explanation:
To solve this, we use the principle of Archimedes. Archimedes Principal of flotation states that "the buoyant force of an object is equal to the total weight of the fluid it displaces."
In the attachment, I stated the mathemacal formula, of which
F(B) = The buoyant force
w(fl) = The weight of the salt water displaced
p(iron) = density of iron
p(salt) = density of the salt water = 1025 kg/m³
F' = weight of the iron in air
F = weight of the iron in salt water
p(man) = density of man = 7680 kg/m³
The rest are the easy calculations done by substituting the values
PLEASE HELP WITH EXPLANATION! I WILL GIVE YOU BRAINLIEST!
Calculate the average velocity of a dancer who moves 5 m toward the left of the stage over the course of 15 s.
Answer:
divide the distance by the time and get average velocity in units of s. the detection to the left
the speed of sound is 343m/s. dezeirey is positioned 5m behind her. how many seconds will it take for the echo from the wall to reach her
Answer:
t = 0.029 s
Explanation:
We have,
Speed of sound is 343 m/s.
Dezeirey is positioned 5 m behind her.
It is required to find the time taken for the echo from the wall to reach her. The total distance covered by the echo when it reaches her is 2d or 10 m.
Time taken,
\(t=\dfrac{d}{v}\\\\t=\dfrac{10\ m}{343\ m/s}\\\\t=0.029\ s\)
So, it will take 0.029 seconds for the echo from the wall to reach her.
Calculate the absolute pressure at an ocean depth of 1.0 x 10³ m. Assume that the density of the water is 1.025 x 10³ kg/m³ and that Po = 1.01 x 10^5 Pa.
The absolute pressure at an ocean depth of 1.0 x 10^3 m is 1.002 x 10^8 Pa.
What is hydrostatic pressure?Hydrostatic pressure is the pressure that a fluid exerts on a surface due to the weight of the fluid above it. It is the result of the force of gravity acting on a column of fluid, and it is directly proportional to the height of the column of fluid and the density of the fluid.
The absolute pressure at an ocean depth of 1.0 x 10^3 m can be calculated using the hydrostatic pressure equation:
P = ρgh + Po
where:
P is the absolute pressure at the given depth
ρ is the density of the water
g is the acceleration due to gravity (assumed to be 9.81 m/s²)
h is the depth of the ocean
Po is the atmospheric pressure at the surface (assumed to be 1.01 x 10^5 Pa)
Substituting the given values, we get:
P = (1.025 x 10^3 kg/m³) x (9.81 m/s²) x (1.0 x 10^3 m) + 1.01 x 10^5 Pa
P = 1.025 x 9.81 x 10^6 Pa + 1.01 x 10^5 Pa
P = 1.002 x 10^8 Pa.
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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.
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Drag each label to the correct location on the chart.
Sort the items based on whether they are simple machines or compound machines.
Answer:
whatttttttttttttttttttttttttttt are the items we have to classify into simple machines and compound machine
A rigid body with a cylindrical cross-section is released from the top of a 26 deg incline. It rolls 10.9 m to the bottom in 3.06 s. Find the moment of inertia of the body in terms of its mass m and radius r. (Assume I is in kq * m ^ 2 , m is in kilograms, and r is in meters. Do not include units in your answer.)
The moment of inertia of a rigid body with a cylindrical cross-section is (m*\(r^2\))/2.5, where m is mass and r is radius.
Given data:
Inclination angle, θ = 26 degrees
Distance traveled, s = 10.9 m
Time taken, t = 3.06 s
The acceleration of the body can be found by analyzing its motion down the incline.
Since the body is rolling, we need to consider both translational and rotational motion.
The net force acting on the body is the component of its weight parallel to the incline. Therefore:
Fnet = mgsinθ
The force causes both translational and rotational acceleration. The translational acceleration can be found using Newton's second law:
Fnet = ma
Therefore,
a = Fnet/m = gsinθ
The rotational acceleration can be found using the torque equation:
τ = Iα
where τ is the torque, I is the moment of inertia, and α is the angular acceleration. The torque is provided by the force of friction acting on the body, and it is given by:
τ = Fr
where r is the radius of the body.
The force of friction can be found using the relationship between the translational and rotational acceleration:
a = αr
Therefore
Fr = ma = mgsinθ
Substituting α = a/r and τ = Fr, we get:
I(a/r) = mgsinθ
Substituting a = gsinθ, we get:
I = (m*\(r^2\))/2.5
Therefore, the moment of inertia of the body in terms of its mass m and radius r is I = (m*\(r^2\))/2.5.
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Can the potential of a non-uniformly charged sphere be the same as that of a point charge? Explain.
No, the potential of a non-uniformly charged sphere cannot be the same as that of a point charge.
The potential of a charged sphere depends on the distribution of charge throughout the sphere, whereas the potential of a point charge depends only on its own charge and the distance from it. A non-uniformly charged sphere has different charges distributed at different distances from a point in space, so the potential at that point will vary depending on the distribution.
In contrast, a point charge has all its charge concentrated at a single point, so the potential at any given distance will be the same regardless of the distribution of charge in the surrounding space. Therefore, the potential of a non-uniformly charged sphere cannot be the same as that of a point charge.
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The speed of light is 3 x 10 m/s.
Calculate the frequency of light that is absorbed the most by the 100m length of fibre.
Give your answer in standard form.
Answer:
\(3 \times 10 {}^6\)
If a 62 kg panther sits in a tree 1.3 meters above the ground, how much gravitational potential energy does it have?
If the air resistance cause the panther to lose 200 J of energy as it falls, what is the KE of the panther just before it hits the ground?
What was the velocity of the panther just before it hit the ground?
Gravitational Potential Energy , Kinetic Energy and velocity of panther just before hitting the ground will be 790.41599 J , 990.41599 J , 5.6523m/s respectively.
Mass is 62 kg with a height 1.3m .
Gravitational Potential Energy means product of mass , gravitational acceleration and height . Mathematically, GPE= mgh
GPE= 62 x 1.3 x 9.8
= 790.41599 J
Energy lost = Final energy- GPE
Final Energy Δ = 790.41599 J + 200 J
=990.41599 J
To find Velocity of panther just before hitting the ground V:-
Δ⇒mV²/2
990.41599 J= 62 V²/2
V²= {990.41599 x 2}/62
= 31.9489029
V=5.6523m/s
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A car accelerates uniformly from rest to a speed of 10 meters per second in 2 seconds.
The acceleration of the car is?
The acceleration with which the car uniformly increases its speed from zero to the given speed is 5m/s².
Given the data in the question
Since the car was initially at rest
Initial velocity; \(u = 0m/s\)Final velocity; \(v = 10m/s\)Time taken; \(t = 2s\)Acceleration of the car; \(a = \ ?\)
Using the First Equation of Motion:
\(v = u + at\)
Where u is the initial velocity, v is the final velocity, a is the acceleration and t is the time taken.
We substitute our given values into the equation and solve for "a"
\(10m/s = 0m/s\ +\ ( a * 2s ) \\\\10m/s = a * 2s\\\\a = \frac{10m/s}{2s}\\\\a = 5m/s^2\)
Therefore, the acceleration with which the car uniformly increases its speed from zero to the given speed is 5m/s².
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A car accelerates at a rate of 8.8 m/s2 with a force from the tires of 11,968 N.
What is the mass of the car?
Answer:
1360 kgExplanation:
The mass of the car can be found by using the formula
\(m = \frac{f}{a} \\ \)
f is the force
a is the acceleration
From the question we have
\(m = \frac{11968}{8.8} \\ \)
We have the final answer as
1360 kgHope this helps you
Answer:
\(\displaystyle 1360\:kg.\)
Explanation:
\(\displaystyle am = F_{net} \\ \\ \frac{11968}{8,8} = \frac{8,8m}{8,8} \\ \\ \boxed{1360 = m}\)
I am joyous to assist you at any time.
High-speed stroboscopic photographs show that the head of a -g golf club is traveling at m/s just before it strikes a -g golf ball at rest on a tee. After the collision, the club head travels (in the same direction) at m/s. Find the speed of the golf ball just after impact.
The question is incomplete. The complete question is :
High-speed stroboscopic photographs show that the head of a 200 g golf club is traveling at 60 m/s just before it strikes a 50 g golf ball at rest on a tee. After the collision, the club head travels (in the same direction) at 40 m/s. Find the speed of the golf ball just after impact.
Solution :
We know that momentum = mass x velocity
The momentum of the golf club before impact = 0.200 x 60
= 12 kg m/s
The momentum of the ball before impact is zero. So the total momentum before he impact is 12 kg m/s. Therefore, due to the conservation of momentum of the two bodies after the impact is 12 kg m/s.
Now the momentum of the club after the impact is = 0.2 x 40
= 8 kg m/s
Therefore the momentum of the ball is = 12 - 8
= 4 kg m/s
We know momentum of the ball, p = mass x velocity
4 = 0.050 x velocity
∴ Velocity = \($\frac{4}{0.050}$\)
= 80 m/s
Hence the speed of the golf ball after the impact is 80 m/s.
A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J
The potential energy of the roller coaster is 176,400 J (joules).
The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.
In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).
Using the formula, we can calculate the potential energy:
PE = mgh
= (900 kg)(9.8 \(m/s^2\))(20 m)
= 176,400 J
Therefore, the potential energy of the roller coaster is 176,400 J (joules).
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number 8 please i need help asap
I have multiple voltage sources of different rating like 5V,6V,1V and 20V draw schematic diagram using these sources to power a light of rating 11 volt
Answer:
add molecules
why is it important to know all about recreational activities?
Answer:
It's important
Explanation:
Mental wellness is critical to overall physical health. Participating in recreational activities helps manage stress. Taking time to nurture oneself provides a sense of balance and self-esteem, which can directly reduce anxiety and depression.
Answer:
Mental wellness is critical to overall physical health. Participating in recreational activities helps manage stress. Taking time to nurture oneself provides a sense of balance and self-esteem, which can directly reduce anxiety and depression.
Explanation:
Why can’t a real machine ever have 100% efficiency
Answer:
Almost all machines require energy to offset the effects of gravity, friction, and air/wind resistance. Thus, no machine can continually operate at 100 percent efficiency.
53-54, Image is attached!
Answer:
2.29 s
Explanation:
This problem is a description of an elastic collision (the two objects collide and effectively become one object). The equation for an elastic collision is
\(m_1v_1+m_2v_2=m_3v_3\), where:
\(m_1v_1\) = the mass of the child (55.0 kg) times the velocity of the child (2.5\(\frac{m}{s}\))
\(m_2v_2\) = the mass of the sled (12.0 kg) times the velocity of the sled (0.0\(\frac{m}{s}\))
\(m_3v_3\) = the combined mass of the child and the sled (67.0 kg) times the combined velocity of the child and the sled (\(v_3\))
First, rearrange the problem to solve for \(v_3\):
\(\frac{m_1v_1+m_2v_2}{m_3}=v_3\)
So,
\(\frac{(55.0\ kg)(2.5\ \frac{m}{s})+(12.0\ kg)(0.0\ \frac{m}{s})}{67.0\ kg}=v_3\\\frac{137.5\frac{kg*m}{s}}{67.0\ kg}=v_3\\2.05\frac{m}{s}=v_3\)
The force of friction for this problem is given as 60 N. To stop the child and the sled, the force of friction must be equal and opposite to the force of the child and sled. According to Newton's first law, force equals mass times acceleration (F=ma). So, an equation to solve this portion of the problem can be given as -60 N=ma, where m=67.0 kg. So,
\(-60\ N=(67.0\ kg)a\\\frac{-60\ \frac{kg*m}{s^2}}{67.0\ kg}=a\\-0.90\frac{m}{s^2}\)
Acceleration can then be used in kinematic equation #1 (\(v_f=v_i+at\)) to solve for time. Rearrange the equation and let
\(v_f=0.0\frac{m}{s}\\v_i=2.05\frac{m}{s}\\a=-0.90\frac{m}{s^2}\)
So,
\(\frac{v_f-v_i}{a}=t\\\frac{0.0\frac{m}{s}-2.05\frac{m}{s}}{-0.90\frac{m}{s^2}}=t\\\frac{-2.05\frac{m}{s}}{-0.90\frac{m}{s^2}}=t\\2.29\ s=t\)
For number 6 I really can't figure out the answer does anyone know ?
The factor that leads to loess deposit is when the wind carries fine sediment. That is option C.
What are loess deposits?The loess deposits are those deposits that are usually found at the edge of deserts.
The major factor that causes the formation of loess is the wind because they are entrained, transported, and deposited by the wind.
The fine particles carried by wind contains find grained sediments, organic particles that are capable of forming loess.
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The Sun has a mass of 1.99x10^30 kg and a radius of 6.96x10^8 m. Calculate the acceleration due to gravity, in meters per second, on the surface of the Sun?
Answer:
\(g=274\ m/s^2\)
Explanation:
Mass of the Sun, \(M=1.99\times 10^{30}\ kg\)
The radius of the Sun, \(r=6.96\times 10^8\ m\)
We need to find the acceleration due to gravity on the surface of the Sun. It is given by the formula as follows :
\(g=\dfrac{GM}{r^2}\\\\g=\dfrac{6.67\times 10^{-11}\times 1.99\times 10^{30}}{(6.96\times 10^8)^2}\\\\g=274\ m/s^2\)
So, the value of acceleration due to gravity on the Sun is \(274\ m/s^2\).
The acceleration due to gravity, in meters per second squared, on the surface of the Sun is \(296.88 \;m/s^2\).
Given the following data:
Mass of Sun = \(1.99 \times 10^{30}\) kilogramsRadius of Sun = \(6.69 \times 10^8\) metersGravitational constant = \(6.67 \times 10^{-11}\)
To calculate the acceleration due to gravity, in meters per second squared, on the surface of the Sun:
From the law of gravitational force, we have the formula:
\(g = \frac{Gm}{r^2}\)
Where:
g is the acceleration due to gravity.G is the gravitational constant.m is the mass of a planet.r is the radius.Substituting the given parameters into the formula, we have;
\(g = \frac{6.67 \times 10^{-11} \times 1.99 \times 10^{30}}{(6.69 \times 10^8)^2} \\\\g= \frac{1.33 \times 10^{20} }{4.48 \times 10^{17}} \\\\g=296.88 \;m/s^2\)
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Juan
has been really limiting his calories hoping to lose weight quickly. He figures as long as he drinks a lot of water, the impact on his body will not
be that bad. However, after a week of eating as little as possible, he has actually gained two pounds. What BEST explains why this happened?
A. His body is holding onto calories because of his low calorie intake.
His scale clearly has a problem because he should see weight loss by now.
He was only eating high fat food and now he has switched to healthy food.
D. He is not doing any exercise, so he cannot lose any weight based on diet alone.
B.
C.
He was solely consuming high-fat foods until recently, when he began consuming nutritious foods.
Briefing:
Instead of helping you lose weight, hopping from one diet fad to another can make you put on weight. Your daily calorie intake can fluctuate significantly, which can cause your metabolism to slow down. To adjust to new food, your metabolism needs about three weeks.
Obesity is typically brought on by excessive eating and insufficient exercise. A large portion of the excess energy will be stored by the body as fat if you consume large amounts of energy, especially fat and sugars, without expelling it through exercise and physical activity.
Even if the food is good for you, the calories can still add up and result in a weight loss plateau or even weight gain.
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A plank AB 3m long weighing 20kg and with center of gravity 2m from the end A carries a load of mass 10kg at the end A it rests on two supports CandD.
1, compute the values of the reaction forces R1 and R2 at C and D.
2, how far from D and on which side of it must a mass of 24kg be placed on the plank so as to make the reactions equal? What are their values.
3,without this 24kg what vertical force applied at B will just lift the plank clear of D? What is then the reaction at C.
The answers are 1) The value of R2 is not relevant as it implies a downward force on the plank, 2) The reactions at C and D are 66.3 N and 90 N, respectively, and 3) The vertical force at B to lift the plank clear of D is 686.4 N. The reaction at C is zero, and the reaction at D is 61.4 kg.
1) R1 and R2 at C and D respectively are given by the equation R2 = (m1 + m2)g - R1, where m1 and m2 are the masses of the plank and load, respectively, and g is the acceleration due to gravity. Hence, substituting values R2 = (20 + 10) × 9.81 - R1 = 294.3 - R1. Now, taking moments about D, the following equation can be obtained: (20 × 1 + 10 × 3)g = R1 × 2 + R2 × 3 = 2R1 + 3 × (294.3 - R1) = 882.9 - R1, from which R1 = 343.7 N and R2 = 294.3 - 343.7 = -49.4 N. Since the support at D can only push the plank upwards and cannot pull it downwards, a negative value for R2 implies that the plank is actually being pulled downwards by an external force. Therefore, the value of R2 is not relevant. 2) The total weight of the plank and the load acting at the end A is 20 + 10 = 30 kg. For the reactions at C and D to be equal, the 24 kg mass must be placed at a distance x from D such that x × 30 = 24 × 6, from which x = 12/5 = 2.4 m. Since the 24 kg mass is being placed to the left of the plank, it will cause the reaction at C to decrease and that at D to increase. Thus, if R is the vertical force applied at B, then taking moments about D gives 20g × 1 - 10g × 3 + R × 6 = 0, from which R = 90 N. Taking moments about C gives R × 3 - 10g × 2 = 0, from which R = 66.3 N. 3) The vertical force applied at B that will just lift the plank clear of D is the weight of the plank and the load acting at the end A plus the weight of the part of the plank that is to the right of D. The weight of the plank and the load acting at the end A is 20 + 10 = 30 kg, and the weight of the part of the plank that is to the right of D is 24 × 1.6 = 38.4 kg. Therefore, the vertical force applied at B that will just lift the plank clear of D is (20 + 10 + 38.4)g = 686.4 N. The reaction at C is zero because the plank is not being supported there anymore. The reaction at D is the same as the weight of the plank and the load acting at the end A plus the weight of the part of the plank that is to the right of D, which is 20 + 10 + 24 × 1.6 = 61.4 kg.For more questions on acceleration
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The table shows the pricing for four different brands of cat food.
Which brand costs the least per ounce?
A
B
C
D
Brand Cost
A $0.88 for 4 oz
B $1.05 for 5 oz
C $1.60 for 8 oz
D $2.28 for 12 oz
Answer:
D
Explanation:
trust me bro
What happens when a moving object experiences no net force?
Answer:
An object with no net forces acting on it which is initially at rest will remain at rest. If it is moving, it will continue to move in a straight line with constant velocity. Forces are "pushes" or "pulls" on the object, and forces, like velocity and acceleration are vector quantities.
5. (Liquids Gases) have particles with enough energy to spread out
throughoutcontainer. *
A)Liquids
B)Gases
Answer:
b gases
Explanation:
this is because gases spread out through out the entire container because they have no definite shape and are always moving.
A 66 kg driver gets into an empty taptap to start the day's work. The springs compress 2.3×10−2 m
. What is the effective spring constant of the spring system in the taptap?
Enter the spring constant numerically in newtons per meter using two significant figures
Explanation:
You want N/m
N = 66 * 9.81
m = 2.3 x 10^-2 m
66* 9.81 / 2.3 x 10^-2 = 28150 = 28 000 N/m to two S D
An aeroplaneflying above groundnd490m with 100 meterpersecond how far on ground it will strike
The airplane will strike the ground at a horizontal distance of 490 meters.
To determine how far the airplane will strike on the ground, we need to consider the horizontal distance traveled by the airplane during its flight.
The horizontal distance traveled by an object can be calculated using the formula:
Distance = Speed × Time
In this case, the speed of the airplane is given as 100 meters per second and the time it takes to cover the distance of 490 meters is unknown. Let's denote the time as t.
Distance = 100 m/s × t
Now, to find the value of time, we can rearrange the equation as follows:
t = Distance / Speed
t = 490 m / 100 m/s
t = 4.9 seconds
Therefore, it takes the airplane 4.9 seconds to cover a horizontal distance of 490 meters.
Now, to calculate the distance on the ground where the airplane will strike, we can use the formula:
Distance = Speed × Time
Distance = 100 m/s × 4.9 s
Distance = 490 meters
It's important to note that this calculation assumes a constant speed and a straight flight path. In reality, various factors such as wind conditions, changes in speed, and maneuvering can affect the actual distance traveled by the airplane.
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A resistor with a resistance of 2 MΩ is connected in series with a 5 µF capacitor and a battery with emf 10 V. The capacitor has originally a charge of 5 µC and then discharged. At what time will the charge be equal to 1µC?
A. 16 sec
B. 1.6 sec
C. 3.2 sec
D. 8 sec
Microwaves and gamma rays
- none of these.
- have the same wavelength.
- have the same color.
- have the same speed.
- have the same frequency.
Answer:
Have the same speed.
Explanation:
All electromagnetic waves travel at the same speed, which is 300,000,000 m/s.
A 39.4 kg beam is attached to a wall with a link and its far end is supported by a cable such that the angle between the beam and the cable is 90 degrees. If the beam is inclined at an angle of theta = 33.1 degrees with respect to horizontal, what is the magnitude of the horizontal component of the force exerted by the link on the beam?
Answer:
192.6N
Explanation:
Let's consider the forces acting on the beam:
Weight of the beam (W): It acts vertically downward and has a magnitude of W = mass * gravitational acceleration = 39.4 kg * 9.8 m/s^2.
Force exerted by the link on the beam (F_link): It acts at an angle of 90 degrees with respect to the beam and has two components: the vertical component and the horizontal component.
Tension in the cable (T): It supports the far end of the beam and acts at an angle of 90 degrees with respect to the beam. Since the angle between the beam and the cable is 90 degrees, the tension in the cable only has a vertical component.
Let's break down the forces acting on the beam:
Vertical forces:
W (weight of the beam) - T (vertical component of tension) = 0
T = W
Horizontal forces:
F_link (horizontal component of the force exerted by the link) = ?
To find the magnitude of the horizontal component of the force exerted by the link on the beam (F_link), we need to consider the equilibrium of forces in the horizontal direction.
Since the beam is inclined at an angle of θ = 33.1 degrees with respect to the horizontal, the horizontal equilibrium equation can be written as:
F_link = W * sin(θ)
Let's substitute the given values:
W = 39.4 kg * 9.8 m/s^2
θ = 33.1 degrees
F_link ≈ (39.4 kg * 9.8 m/s^2) * sin(33.1 degrees)
Using a calculator, we find that the magnitude of the horizontal component of the force exerted by the link on the beam (F_link) is approximately 192.6 N.