Answer:
The magnitude of the gravitational force of attraction between the two objects when they are 416 meters apart is;
D. 4.5 × 10⁻¹⁰ Newtons
Explanation:
The given parameters are;
The distance between the center of mass of the cow and the tractor, r = 208 m
The gravitational attraction between the cow and the tractor = 1.8 × 10⁻⁹ N
The formula for finding the gravitational force, 'F', between the cow and the tractor is given as follows;
[tex]F =G\cdot \dfrac{m_{1} \cdot m_{2}}{r^{2}}[/tex]
Where;
G = The universal gravitational constant = 6.67408 × 10⁻¹¹m³·kg⁻¹·s⁻²
m₁·m₂ = The product of the mass of the cow and the tractor
Therefore, we have;
[tex]F = 1.8 \times 10^{-9} =G\cdot \dfrac{m_{1} \cdot m_{2}}{208^{2}}[/tex]
1.8 × 10⁻⁹ × 208² ≈ 7.78752 × 10⁻⁵ = G × m₁ × m₂
Therefore, when the distance between the two objects are 416 meters apart, we have;
[tex]F = \dfrac{G \cdot m_{1} \cdot m_{2}}{r^{2}} = \dfrac{7.78752 \times 10^{-5}}{416^2} = 4.5 \times 10^{-10}[/tex]
The magnitude of the gravitational force of attraction between the cow and the tractor when they are 416 meters apart, F = 4.5 × 10⁻¹⁰ N.
Which is an indication that a man might be choking
Answer:
If they put their hands near their neck, if they're not breathing properly, if they aren't coughing.
Explanation:
Answer:
if they are struggling to breathe, attempting to cough (like coughing something up) or asking for help whilst holding their stomach, neck
Si se deja caer un carrito de una pista de coches sin friccion y su altura inicial es de 1.4 metros, cual es la velocidad maxima que puede alcanzar el carrito?
Answer:
[tex]5.241\ \text{m/s}[/tex]
Explanation:
m = Masa del coche
g = Aceleración debida a la gravedad = [tex]9.81\ \text{m/s}^2[/tex]
h = Altura = [tex]1.4\ \text{m}[/tex]
v = Velocidad del automóvil en la parte inferior de la pista
Aquí asumimos que el automóvil desciende verticalmente. La energía potencial del automóvil se completará convertida en energía cinética en la parte inferior de la pista ya que no hay pérdida de energía.
[tex]mgh=\dfrac{1}{2}mv^2\\\Rightarrow v=\sqrt{2gh}\\\Rightarrow v=\sqrt{2\times 9.81\times 1.4}\\\Rightarrow v=5.241\ \text{m/s}[/tex]
La velocidad máxima que puede alcanzar el coche es [tex]5.241\ \text{m/s}[/tex].
A 2kg baseball has a momentum of 75 kg m/s. Find it’s speed
Answer:
37.5m/s
Explanation:
momentum = mass x velocity
momentum / mass = velocity = speed
75kg*m/s / 2kg = 37.5m/s
A baby carriage is rolling down a hill. Take into consideration, the carriage has 90J of kinetic energy and the mass of the carriage is 0.5m. If you can only run at a speed of 10m/s, will you catch the baby carriage? What is the velocity of the carriage?
Answer:
YES. 6√10
Explanation:
apply E=1/2mv^2 and find the velocity of carriage which is 6√10 ms-1
as our velocity is higher than that of cart. we can catch the carriage
PLEASE HURRY!!!!!!!!
Your brother pulls up to a corvette at a stop light and revs his engine. When the light turns green he slams the gas pedal to the floor. He begins at 9km/hr and after 6 seconds is going 82Km/hr. What was his acceleration rate? (Hint: your label with be Km/hr/s)
Answer:
9.1km/hr...................I think I'm not %100
How many neutrons does potassium have?
Answer:
the answer is 20 neutrons
Explanation:
Answer:
20 neutrons
The nucleus of an atom of potassium contains 19 protons and 20 neutrons.
One star has a magnitude of -1.5 and another star has a magnitude of +0.6. What is the ratio of brightness of these two stars?
Answer:
7
Explanation:
[tex]The \ ratio \ of \ brightness \ of \ these \ two \ stars \ is:[/tex]
[tex]\dfrac{b_{first \ star }}{b _{second \ star }}= 2.512^{(m_{(second \ star )} - (m_{first \ star } ))}[/tex]
[tex]\dfrac{b_{first \ star }}{b _{second \ star }}= 2.512^{(0.6 - (-1.5 ))}[/tex]
[tex]\dfrac{b_{first \ star }}{b _{second \ star }}= 2.512^{(2.1)}[/tex]
[tex]\dfrac{b_{first \ star }}{b _{second \ star }}= 6.9[/tex]
[tex]\mathbf{\dfrac{b_{first \ star }}{b _{second \ star }} \simeq 7}[/tex]
The two parents shown in (Figure 1) exert upward forces
of Fi = 18 N on the left end of the plank and F2 = 65 N
on the right end.
How much does the child weigh?
Answer:
W = 83 [N] (weight)
Explanation:
We must clarify that the system is in static equilibrium, in such a way that we must perform a sum of forces on the Y-axis equal to zero, in order to determine the downward force corresponding to the weight of the child.
∑Fy = 0
[tex]F_{1}+F_{2}-m*g=0\\18+65=m*g\\m*g = 83 [N][/tex]
And the mass can be determined as follows:
[tex]m*g=83\\m = 83/9.81\\m=8.46[kg][/tex]
The weight of the child is equal to 83 Newton.
Given the following data:
Upward force 1 = 18 NewtonUpward force 2 = 65 NewtonTo determine the weight of the child:
From the diagram, we can deduce that the system is in static equilibrium. Thus, we would resolve the horizontal component of the forces, in order to determine the downward force (weight of child).
Mathematically, the horizontal component of the forces is given by:
[tex]\sum F_y = 0\\\\F_1 +F_2 -mg=0[/tex]
Substituting the given parameters into the formula, we have;
[tex]18+65-mg=0\\\\83=mg[/tex]
Note: Weight = mg
Weight of child = 83 Newton.
Read more: https://brainly.com/question/366299
2. List a similarity between magnetic force and gravitational force,
Answer:
Both Electrical and Magnetic Forces take place between two charged objects
Explanation:
b) We find
all matter.
Lesson exercise
1. A stone has a mass of 200 grams. When it is immersed in a measuring cylinde
of water, the water rises 100 ml. What is the density of the stone?
2. A 48 g metal bar was placed in water. The initial volume of water was 89ml.the
final volume was 86ml. What is the volume and density of the metal bar?
3. A rectangular wooden block measures 10cm x 4cm x 5cm. Given the density of
the block is 8.9g/cm?, determine the mass of the block.
4. When a vessel of mass 50g is filled with water, the total mass is 126g. When the
vessel is filled with liquid L. The total mass is 110g.
a. Determine the relative density of the liquid L.
b. Calculate the total mass of the vessel when filled with equal volume of water
and liquid L.
Answer:
alam ko sagot pero mataas
Two reindeer-in-training pull on a sleigh. Connie pulls with a force of 200 N at an angle of 20 degrees above the (positive) -axis, while Randolph pulls with a force of 800 N at an angle of 50 degrees ° below the positive) -axis. What is their resultant magnitude of the force on the sleigh?
Answer:
[tex]F_r \approx 978.3N[/tex]
[tex]\theta =44 \textdegree[/tex]
Explanation:
From the question we are told that
Connie pulls with a force of [tex]F_c=200 N[/tex]
At an angle [tex]\theta _c=20 \textdegree[/tex]
Randolph pulls with a force of [tex]F_R=800 N[/tex]
At an angle [tex]\theta _R=50 \textdegree[/tex]
Generally the horizontal axis can mathematically be represented as
[tex]f_x=f_ccos\theta _c+F_Rcos\theta _R[/tex]
[tex]f_x=200*cos20+800*cos50[/tex]
[tex]f_x=702.2N[/tex]
Generally the vertical axis can mathematically be represented as
[tex]f_y=f_csin\theta _c+F_Rsin\theta _R[/tex]
[tex]f_y=200*sin20+800*sin50[/tex]
[tex]f_y=681.24N[/tex]
Generally the resultant force [tex]F_r[/tex] is mathematically given by
[tex]F_r=\sqrt{f_x^2+f_y^2}[/tex]
[tex]F_r=\sqrt{702.1686119^2+681.2395832^2}[/tex]
[tex]F_r=978.3230731N[/tex]
[tex]F_r \approx 978.3N[/tex]
Generally the Direction [tex]\theta[/tex] of force is mathematically given by
[tex]\theta =tan^-^1(\frac{f_c}{f_y})[/tex]
[tex]\theta =tan^-^1(\frac{681.23}{702.16})[/tex]
[tex]\theta =44 \textdegree[/tex]
All celestial objects we tracted to each other by gravity.Asteroids A and B are 5 meters (m) part. Asteroids C and D are also 5 m apart. Asteroids A and B both have a mass of 5 kilograms(kg) and asteroids C and D both have a mass of 7 kg.Between which set of asteroids is the gravitational attraction?
A between asteroids c and d because gravitational attraction is greatest with increased mass
B between asteroids a and b because gravitational attraction is greatest with decreased mass
C between asteroids a and b because gravitational attraction is greatest with increased distance
D between asteroids c and d because gravitational attraction is greatest with increased distance
C
the energy of position or shape
Calculate the Kinetic Energy of a 0.06 kg tennis ball moving at a velocity of 30
m/s *
Kinetic & Potential Energy
KE = { m V? PE = mgh
Quick & Simple!
54
Calculate the potential energy of a 30 kg rock sitting on top of a 12 m shelf
Answer:
27J
3528J
Explanation:
First problem:
Given parameters:
Mass of tennis ball = 0.06kg
Velocity of tennis ball = 30m/s
Unknown:
Kinetic energy = ?
Solution:
Kinetic energy is the energy due to the motion of a body.
It is expressed as:
K.E = [tex]\frac{1}{2}[/tex] m v²
K.E = [tex]\frac{1}{2}[/tex] x 0.06 x 30² = 27J
Second problem:
Given parameters:
Mass = 30kg
Height = 12m
Unknown:
Potential energy = ?
Solution:
Potential energy is the energy due to the position of a body.
Mathematically;
Potential energy = mgh
m is the mass
g is the acceleration due to gravity
h is the height
Now;
Potential energy = 30 x 9.8 x 12 = 3528J
a steel sphere and brass ring have diameter 25cm and 24.9cm at 15°C.If the sphere and the ring are heated together.what is the temperature at which the sphere could pass through the ring? alpha steel= 12×10^-6 and alpha brass= 20×10^-6
Answer:
Explanation:
Due to heat energy , metal expands . Formula for linear expansion is as follows .
L = l ( 1 + α Δt )
where L is expanded length , l is original length , α is coefficient of linear expansion and Δt is increase in temperature .
To pass the sphere through the ring , the diameter of both ring and sphere should be same after heating . Let after increase of temperature Δt , their diameter becomes same as L . The linear coefficient of brass and steel are
20 x 10⁻⁶ and 12 x 10⁻⁶ respectively .
For steel sphere ,
L = 25 ( 1 + 12 x 10⁻⁶ Δt )
For brass ring
L = 24.9 ( 1 + 20 x 10⁻⁶ Δt )
25 ( 1 + 12 x 10⁻⁶ Δt ) = 24.9 ( 1 + 20 x 10⁻⁶ Δt )
1.004( 1 + 12 x 10⁻⁶ Δt ) = ( 1 + 20 x 10⁻⁶ Δt )
1.004 + 12.0482 x 10⁻⁶ Δt = 1 + 20 x 10⁻⁶ Δt
.004 = 7.9518 x 10⁻⁶ Δt
Δt = 4000 / 7.9518
= 503⁰C.
final temp = 503 + 15 = 518⁰C .
How much heat is needed to warm up 10g of water from 10*C to 30*c
Answer: 10
Explanation:
A boy is holding a ball 1 m from the ground with a force of 20 N. He holds it still for 60seconds. How much power in watts is being used in this situation?
Answer:
Power = 0.33 Watts
Explanation:
Given the following data;
Distance = 1m
Force = 20N
First of all, we would solve for the work done by the boy.
Workdone = force * distance
Substituting into the equation, we have;
Workdone = 20*1 = 20J
Now to find power;
Power = workdone/time
Power = 20/60
Power = 0.33 Watts.
What is the average velocity of someone who walks 3 km in a half hour, then 3 km in an hour, then 6 km in an hour and a half?
Answer:
The average velocity is 4 [tex]\frac{km}{hour}[/tex]
Explanation:
Velocity is the magnitude that relates the change in position with time. That is, the speed expresses the relationship between the space traveled by an object and the time used for it.
The average velocity relates the change in position with the time taken to effect said change through the expression:
[tex]velocity=\frac{distance}{time}[/tex]
In this case:
distance= 3 km + 3 km + 6 km= 12 kmtime= half hour + an hour + an hour and a half= 30 minutes + 1 hour + 1 hour 30 minutes= 0.5 hour + 1 hour + 1.5 hour= 3 hoursReplacing:
[tex]velocity=\frac{12 km}{3 hours}[/tex]
Solving:
velocity= 4 [tex]\frac{km}{hour}[/tex]
The average velocity is 4 [tex]\frac{km}{hour}[/tex]
Which of the following is an example of acceleration?
A) Standing in position while waiting to begin jumping jacks.
B) A leaf blown from a tree by the wind.
C) Gravity holding a rock still on the ground.
D) Slowing a bike by applying the brakes.
Answer:
B) a leaf blown from a tree by the wind
Answer:
the answer is B A leaf being blown from a tree by the ground
5 A truck travelling at 25 m/s puts on its brakes for 4 s. This produces an acceleration of –2 m/s. What is the truck's
velocity after braking?
Answer: The truck's velocity after braking = 17m/s.
Explanation:
Given: Initial velocity(i) = 25 m/s
Time(t) = 4s
Acceleration(a) = -2 m/s ²
We use the following formula to compute final velocity (v):
[tex]v= i+at\\\\\Rightarrow\ v=25+(-2)(4\ \ \ [\text{Substitute all values}]\\\\\Rightarrow\ v=25-8\\\\\Rightarrow\ v=17\ m/s[/tex]
Hence, the truck's velocity after braking = 17m/s.
a car starts at a speed of 3.5m/s and picks up speed for 2.8 seconds until it is traveling 7.2 m/s; the car traveled 15.0 meters. What is the car's acceleration
Answer:
a = 1.32 [m/s²]
Explanation:
To calculate this problem we can use the following equation of kinematics.
[tex]v_{f}=v_{o}+a*t[/tex]
where:
Vf = final velocity = 7.2 [m/s]
Vo = initial velocity = 3.5 [m/s]
t = time = 2.8 [s]
a = acceleration [m/s²]
[tex]7.2=3.5+a*2.8\\2.8*a=3.7\\a=1.32[m/s^{2} ][/tex]
Please Help Me!!!........
Answer:
1.Siddartha Gautama
2.no single founder
3jesus christ
4.muhammad
5.abraham
Which is a substance that takes the shape and volume of its container?
amorphous solid
liquid
crystalline solid
gas
The net electric flux through a cubic box with sides that are 22.0 cm long is 4950 N⋅m2/C . What charge is enclosed by the box?
Answer:
43.83 nC
Explanation:
We know Q = ε₀Ψ where Q = charge enclosed by the cubic box, ε₀ = permittivity of free space = 8.854 × 10⁻¹² F/m and Ψ = net electric flux through cubic box = 4950 Nm²/C
So, substituting the values of the variables into the equation, we have
Q = ε₀Ψ
= 8.854 × 10⁻¹² F/m × 4950 Nm²/C
= 43827.3 × 10⁻¹² C = 4.38273 × 10⁻⁸ C
= 43.8273 × 10⁻⁹ C
= 43.8273 nC
≅ 43.83 nC
When synthetic materials are made from natural materials, the atoms that make
up the original substances are regrouped into new molecules. *
True
False
Help plzzz, if a question has more than one answer, pur both letters! Plzz I need 5 letters, this is the third time I’m posting this for help, someone plzzzz help!!
Answer:
1) e
2)c
3)b
4)d
i dont know if these are right, but something along these lines if you understand the pattern
Explanation:
If Emily tries to jump over a narrow river at the speed of 6 m/s
at angle 30° to the horizontal, then the total flight time will be
seconds.
Answer: 0.6
Explanation: I'm doing the projectile motion problem solving and I was stuck but I guessed and choose that answer and it said I was correct.
1. Which energy source has no greenhouse gas emissions or health impacts on humans, but is only available in certain geographic locations?
Geothermal power
Nuclear power
Hydrogen fuel
Methane gas
Answer:Nuclear power
Answer: geothermal
Explanation: I just took this test.
by how much does the speed of a vehicle moving ina straight line change each second when it is accelerating at 2km/h/s? At 4 km/h/s ? At 10 km /h/s?
Answer:
At 2km/h*s it is changing speed every 2 seconds.
At 4km/h*s it is changing speed every 4 seconds.
At 10km/h*s it is changing speed every 10 seconds.
Ms. Perry travels north 5 km, 10 Km west, and then turns and travels 5 Km south. What is her displacement?
Answer:
Her displacement is 10km
Explanation:
An illustrative diagram for the journey is shown in the attachment below.
From the question,
She travels north 5km, which is given by /AB/ in the diagram, and 10km west, which is given by /BC/ in the diagram. She then travels 5km south, which is given by /CD/ in the diagram. To determine her displacement,
Displacement is the shortest distance from an initial position to a final position.
Therefore, her displacement is given by /DA/ in the diagram.
NOTE: /DA/ = /BC/ (Opposite sides of a rectangle)
Since /BC/ = 10km
∴ /DA/ = 10km
Hence, her displacement is 10km.
An outfielder with a mass of 86 Kilograms catches a baseball with a mass of 0.15 kilograms.The velocity of the ball just before being caught is 40 meters per second.What is the impulse imparted by the ball onto the outfielder?
A. 6.00 Ns
B. 3,440 Ns
C. 2.00 Ns
D. 3,434 Ns
Answer:
C
Explanation:
