Answer:
9.39 m/s
Explanation:
Using the y-direction, we can solve for the time t it takes for the cart to reach the ground.
Assume the up direction is positive and the down direction is negative.
v₀ = 0 m/sa = -9.8 m/s² Δy = -50 m t = ?Find the constant acceleration equation that contains these four variables.
Δy = v₀t + 1/2at²Substitute known values into this equation.
-50 = (0)t + 1/2(-9.8)t²Multiply and simplify.
-50 = -4.9t²Divide both sides of the equation by -4.9.
10.20408163 = t²Square root both sides of the equation.
t = 3.194382825Now we can use this time t and solve for v₀ in the x-direction. Time is most often our link between vertical and horizontal components of projectile motion.
List out known variables in the x-direction.
v₀ = ?t = 3.194382825 s a = 0 m/s²Δx = 30 mFind the constant acceleration equation that contains these four variables.
Δx = v₀t + 1/2at²Substitute known values into the equation.
30 = (v₀ · 3.194382825) + 1/2(0)(3.194382825)²Multiply and simplify.
30 = v₀ · 3.194382825Divide both sides of the equation by 3.194382825.
v₀ = 9.391485505The cart was rolling at a velocity of 9.39 m/s (initial velocity) when it left the ledge.
Answer:
9.39 m/s
Explanation:
Using the y-direction, we can solve for the time t it takes for the cart to reach the ground.
Assume the up direction is positive and the down direction is negative.
v₀ = 0 m/s
a = -9.8 m/s²
Δy = -50 m
t = ?
Find the constant acceleration equation that contains these four variables.
Δy = v₀t + 1/2at²
Substitute known values into this equation.
-50 = (0)t + 1/2(-9.8)t²
Multiply and simplify.
-50 = -4.9t²
Divide both sides of the equation by -4.9.
10.20408163 = t²
Square root both sides of the equation.
t = 3.194382825
Now we can use this time t and solve for v₀ in the x-direction. Time is most often our link between vertical and horizontal components of projectile motion.
List out known variables in the x-direction.
v₀ = ?
t = 3.194382825 s
a = 0 m/s²
Δx = 30 m
Find the constant acceleration equation that contains these four variables.
Δx = v₀t + 1/2at²
Substitute known values into the equation.
30 = (v₀ · 3.194382825) + 1/2(0)(3.194382825)²
Multiply and simplify.
30 = v₀ · 3.194382825
Divide both sides of the equation by 3.194382825.
v₀ = 9.391485505
The cart was rolling at a velocity of 9.39 m/s (initial velocity) when it left the ledge.
how do you fix a broken foot
my sister is in literal tears and i dont have a phone and
our parents are out of the house rn
Rae has just heard a loud crash from her garage. The impact of the sound wave bouncing against her eardrum sets off a chain reaction through the three tiny bones in the middle ear, called the:
Answer:
Hammer
Anvil
Stirrup
Explanation:
The three tiny bones in the ear drum are:
Hammer, this is also known as malleus and it is attached to the eardrum
Anvil, this is also called incus and it found with the chain of bones in the middle ear.
Stirrup, also known as stapes and it attached to the membrane covered opening that connects the middle ear with the inner ear.
From base camp, a park ranger drives 27 meters at 32 degrees East of North, then 40 meters at 58 degrees West of North, and finally 39 meters directly West in an attempt to rescue a lost hiker.
Answer:
R = 73.34 m, θ = 37º North of West
Explanation:
In this exercise you are asked to find the distance traveled.
The best way to do this is with a Cartesian coordinate system, let's use a system where the x axis coincides with the West - East direction), to decompose the trajectories
First trajectory
distance d₁ = 27 m
Direction 32 East of North, this angle is measured from the vertical direction (y-axis)
cos 32 = y₁ / d₁
sin 32 = x₁ / d₁
y₁ = d₁ cos 32
x₁ = d₁ sin 32
y₁ = 27 cos 32 = 22.90 m
x₁ = 27 sin 32 = 14.31 m
second trajectories
distance d2 = 40 m
direction 58 West from North, the angle is measured with respect to the y axis, towards the negative side of the x axis
cos 58 = y₂ / d₂
sin 32 = x₂ / d₂
y₂ = d₂ cos58
x₂ = d₂ sin 58
y₂ = 40 cos 58 = 21.20 m
x₂ = 40 sin 58 = -33.92 m
The negative sign of the x coordinate is due to the fact that the displacement is towards the West (negative of the x axis)
third trajectory
distance d₃ = 39 m
West direction, negative part of x-axis
x₃ = - 39 m
the total distance is
= x₁ + x₂ + x₃
X_{total}l = 14.30 - 33.92 -39
X_{total}X_total = -58.6 m
Y_{total} = y₁ + y₂
Y_{total}= 22.90 + 21.20
Y_{total} = 44.1 m
we give the result in the form of module and angle
we use the Pythagorean theorem
R = [tex]\sqrt{X_{total}^2 + Y_{total}^2 }[/tex]
R =\sqrt58.6^2 + 44.1^2 }
R = 73.34 m
we use trigonometry
tan θ =
θ = tan⁻¹ \frac{ Y_{total} }{ X_{total} }
θ = tan⁻¹ \frac{ 44.1 }{ 58.6 } (44.1 / 58.6)
θ = -37º
this angle is in the second quadrant, given in the form of cardinal coordinates is
θ = 37º North of West
A weight of 4.0 N is used to extend a spring. The extension of the spring is 0.06 m. (i) Calculate the spring constant, k, of the spring.
(ii) State what measurements should be made to determine the extension of the spring produced by the 4.0 N weight.
Answer:
See explanation
Explanation:
Hookes law states that; the displacement due to a stretching force is directly proportional to the magnitude of the deforming force.
F = ke
F = deforming force
k = force constant
e = extention
k = F/e
k = 4N/0.06 m= 66.67 Nm^-1
To determine the extension of the spring produced by the 4.0 N weight
1) We measure the original length of the spring
2) We measure the length after hanging the 4 N mass
3) Subtract the new length from the original length to determine the extention.
A 5 Kg bowling ball is thrown at a stationary 1.6 Kg bowling pin at 5 m/s. If the final velocity of the ball is 2.5 m/s. The final velicoty of the bowling pin is _____m/s.
Answer: hope this helps
Explanation:
If the final velocity of the ball is 2.5 m/s, the final velocity of the bowling pin is 7.8125 m/s.
What is principle of conservation of momentum?According to the principle of momentum conservation, momentum is only modified by the action of forces as they are outlined by Newton's equations of motion; momentum is never created nor destroyed inside a problem domain.
According to the principle of momentum conservation, total momentum of an system remains conserved.
Total initial momentum = total final momentum
5 kg × 5 m/s + 1.6 kg × 0 m/s = 5 kg × 2.5 m/s + 1.6 kg × v
1.6 kg × v = 5 kg × 5 m/s - 5 kg × 2.5 m/s
v = (5 kg /1.6 kg) (5 m/s - 2.5 m/s)
= 7.8125 m/s
Hence, If the final velocity of the ball is 2.5 m/s, the final velocity of the bowling pin is 7.8125 m/s.
Learn more about momentum here:
brainly.com/question/24030570
#SPJ5
A boat has a porthole window, of area 0.00849 m^2, 6.25 m below the surface. The density of sea water is 1027 kg/m^3. The air inside the boat is at 1 atm. What is the net force on the window?
Answer:
[tex]325.65\ \text{N}[/tex] outward.
Explanation:
[tex]\rho[/tex] = Density of water = [tex]1027\ \text{kg/m}^3[/tex]
g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]
h = Height of the water = 6.25 m
A = Area of the window = [tex]0.00849\ \text{m}^2[/tex]
[tex]P_i[/tex] = Internal pressure of the boat = [tex]1\ \text{atm}=101325\ \text{Pa}[/tex]
Pressure by the water on the window
[tex]P=\rho gh\\\Rightarrow P=1027\times 9.81\times 6.25\\\Rightarrow P=62967.9375\ \text{Pa}[/tex]
Net pressure on the window
[tex]P_n=P-P_i=62967.9375-101325=-38357.0625\ \text{Pa}[/tex]
Force is given by
[tex]F=P_nA\\\Rightarrow F=-38357.0625\times 0.00849\\\Rightarrow F=-325.651460625\ \text{N}[/tex]
Net force on the window is [tex]325.65\ \text{N}[/tex] outward.
Answer: 534.6 N
Explanation:
This answer works for Acellus!
Describe the buoyant force acting on the Lucia before the torpedo attack.
Answer:
Explanation: positive
Which renewable energy source is used the most throughout the world?
A. solar energy
B. biomass
C .hydroelectric
D. wind
Answer:
C- hydropower
Answer:
Hydroelectric
Pleaseeeeeeeeeeeeeeeeeee
3. Why is static electricity not useful as a power
source?
A. Because electrons aren't transferred in bursts of
static electricity
B. Because all energy is released at once in static
electricity
C. Because static electricity is not a real form of
electricity
D. Because static electricity only occurs in lightning
Static electricity is not useful as a power source primarily because it releases all of its energy at once rather than providing a continuous and controlled flow of electrical energy. The correct answer is B.
When static electricity is discharged, such as in a spark or a sudden discharge of stored charge, it happens in a rapid and uncontrolled manner, resulting in a brief burst of energy rather than a steady and sustained flow.
Power sources typically require a continuous and controllable flow of electrical energy to be useful for various applications. Static electricity, in its nature, does not provide this continuous flow but instead releases energy in an instantaneous manner. Therefore, it is not suitable for most practical power needs and applications.
Option A is not correct because electrons can be transferred in bursts of static electricity. Option C is not correct because static electricity is a real form of electricity, even though it has unique characteristics. Option D is not correct because static electricity can occur in various circumstances, not just in lightning.
Therefore, Static electricity is not useful as a power source primarily because it releases all of its energy at once rather than providing a continuous and controlled flow of electrical energy. The correct answer is B.
To know more about static electricity:
https://brainly.com/question/30043326?referrer=searchResults
#SPJ6
how to make, and put out a fire in the SAFEST way.
Answer:
Surround the area of fire with water so the fire cant spread. And after, pour water on the fire. Always surround the fire first to stop it from spreading. When handling fire there are no specific "safe" ways but this is probably the best way to go orby fire estinguisher which is probably the easiest if you have one nearby which usually you should or do have.
I hope I helped. Pls mark brianliest if it helps. Bye, take care:)
Which green shape is the least reactive?
(Subjective is actually science)
Answer:
the green smiley face
Explanation:
its is farthest from the right
and as stated on the chart, the farther left, the more reactive
less stable=more reactive
more stable= less reactive
Which type of wave interaction is shown in the diagram?
wave A
MAAAAA
wave B
MAAAA
wave A + B
PAMA
A. Destructive interference
B. Diffraction subtraction
C. Diffraction gradient
D. Constructive interference
Answer: Constructive interference
Explanation: Just took the test
Fill in the blanks:
1. When a spring is pulled, the _____ is proportional to the ______ ( called ____ law.
2.Weight is the force of ____ on an object due to the pull of the _____
3. Weights and other forces are measured in ______
4. Here on Earth, the pull of gravity on a mass of 1 kg is ______ Newtons
5. Weight is measured by a _____ balance and _______ from place to place
6. Newton's first law says: every mass stays at _______ or moves at constant _______ in a _______ line unless a resultant _______ acts on it
7. To move in a _______ orbit, an object must have a _______ force on it
Answer:
st8tif7u
Explanation:
t996w4sia74a85e8srz
A book is sitting on the dashboard of a car that is stopped at a traffic light as the car starts to move forward the book slides backward off the dashboard what does the book actually do
Answer:
The book remained in its state of rest before the car started to move forward as no direct force acted on it.
Explanation:
According to Newton's first law of motion, a body will continue in its present state of rest, or if it is in motion, will continue to move with uniform speed in a straight line unless aced upon by an external force. This tendency of a body to remain in its state of reset or uniform motion in a straight line is known as inertia and is directly proportional to the mass of the body. The more massive a body, the more inertia it possesses. Thus Newton's first law is also known as the law of inertia.
Considering the case of the book on the dashboard of a stationary car which suddenly starts to move. While the car is stopped at the traffic light, the dashboard where the book sits and the book are both at rest. When the car begins to move forward, the dashboard moves forward with it. However as the book is not a part of the car, no force is directly acting on it, so the book so it stays at rest due to its inertia.
Therefore, as the car is moving forward, the stationary book appears to move backward from the reference point of the car, sliding off the dashboard.
A 7.00 kg ball hits a 75.0 kg man standing at rest on ice. The man catches the ball. How fast does the ball need to be moving in order to send the man off at a speed of 3.00 m/s?
Answer:
35.14 m/s
Explanation:
The Law of Conservation of Momentum states that the momentum before and after a collision is the same.
m₁ v₁ + m₂ v₂ = m₁ v₁ + m₂ v₂Let's set the ball to have the subscript of 1 and the man to have the subscript of 2.
The initial and final mass of the ball is the same, so m₁ = 7.00 kg on both sides of the equation.
The initial velocity of the ball, v₁ on the left side of the equation, is the unknown variable we are trying to find.
The initial and final mass of the man is the same, so m₂ = 75.0 kg on both sides of the equation.
The man starts at rest, meaning that his initial velocity is v₂ = 0 m/s on the left side of the equation.
The final velocity of both the ball and the man is 3.00 m/s, so we can set v₁ and v₂ on the right side of the equation to equal 3.00 m/s.
Left side of the equation:
m₁ = 7.00 kg v₁ = ?m₂ = 75.0 kgv₂ = 0 m/sRight side of the equation:
m₁ = 7.00 kg v₁ = 3.00 m/sm₂ = 75.0 kgv₂ = 3.00 m/sSubstitute these values into the Law of Conversation of Momentum formula.
(7.00) v₁ + (75.0)(0) = (7.00)(3.00) + (75.0)(3.00)Multiply and simplify.
7.00 v₁ = 21 + 225 7 v₁ = 246Divide both sides of the equation by 7.
v₁ = 35.14 m/sThe ball needs to be moving at a speed of 35.14 m/s in order to send the man off at a speed of 3.00 m/s.
You toss a walnut at a speed of 15.0 m/s at an angle of 50.0∘ above the horizontal. The launch point is on the roof of a building that is 20.0 m above the ground.
a)How long after it is launched does the walnut reach the ground?
b)How far does the walnut travel horizontally from launch point to landing point?
c) What are the horizontal and vertical components of the walnut’s velocity just before it reaches the ground? Suppose that the +y-axis is directed upward and the +x-axis is directed horizontally from the launch point toward the landing point.
Answer:
a.3.51s
b.33.8m
c. 9.64,-22.9
Explanation:
(a) The time taken be "3.5083 sec".
(b) The distance will be "33.82 m".
(c) The horizontal and vertical components be "9.64 m/s and -22.89 m/s".
Velocity and DirectionAccording to the question,
Speed, V₀x = 15 Cos (50.0°)
= 9.64 m/s
V₀y = 15 Sin (50.0°)
= 11.49 m/s
Vertical displacement = -20.0 m
(a) We know the relation between displacement, time and acceleration
→ y = vt + [tex]\frac{1}{2}[/tex]at²
By substituting the values,
→ -20.0 = 11.49 t - 4.9 t²
4.9 t² - 11.49 t - 20.0 = 0
t = [tex]\frac{11.49 + \sqrt{132.02+392} }{9.8}[/tex]
= [tex]\frac{11.49 + 22.89}{9.8}[/tex]
= 3.5083 sec
(b) We know the formula,
Distance = Speed × Time
or,
→ X = 9.64 t
= 9.64 × 3.5083
= 33.82 m
(c) Again by using the above relation, we get
Vx = V₀x
= 9.64 m/s
Vy = V₀y - gt
By substituting the values,
= 11.49 - 9.8 × 3.5083
= 11.49 - 34.38
= -22.89 m/s
Thus the response above is correct.
Find out more information about velocity here:
https://brainly.com/question/2456181
PLS ANSWER FAST WILL GIVE BRAINLY TIMED TEST
use the equation solving a= F divided by M
Also use metres per second squared [m/s2]
A loaded coal wagon with a total mass of 20, 000 kg is pushed by a force of 300,000 N. What was the wagon's acceleration?
A spring has a spring constant k = 20N/cm. What load is needed to produce an extension of 2.5cm?
ASAP please !
Answer:
50 N
Explanation:
We are given;
Spring constant; K = 20N/cm
Extension; Δx = 2.5 cm
We want to find the load which is the force. This is gotten from the equation;
F = k•Δx
F = 20 × 2.5
F = 50 N
Therefore the load needed is 50 N.
How much force must be applied to a 4 kg to get it to accelerate at 3
m/s^2?
Answer:
12 g i think
Explanation:
brainliest pls
6 N M 8N
What is the net force?
Answer:
14 Newtons
Explanation:
6N + 8N = 14N
the force has to be specified both in terms of its magnitude as well as its direction true or false?
Anwser
The strength of a force is usually expressed by its magnitude. We have also to specify the direction in which a force acts.
Select all that apply. According to scientists, the distribution of volcanoes throughout the world…
Forms a specific pattern across fault lines
Corresponds to plate boundaries
Is constantly changing and shifting
Is fairly even and widespread
Answer:
Corresponds to plate boundaries
Is constantly changing and shifting
Explanation:
Use the drawing below to answer the following question.
1 kg
10 kg
20 kg
50 kg
All of the boxes shown above can slide easily. Which box will move farthest if each is
struck with the same amount of force?
A.
the 1-kg box
B. the 10-kg box
C. the 20-kg box
D. the 50-kg box
Answer:
A
Explanation:
Force = mass x acceleration
if the force is constant for each of the boxes, the smaller a boxes mass the greater its acceleration while the force is applied
Therefore the smaller box will have a greater initial velocity and will slide the furthest before it stops.
If the ball rolls out of bounds on the sideline in soccer, what is the result?
a.Free Kick
b.Goal Kick
c.Throw-In
d.Corner Kick
How do you prove you know which object has more momentum without calculating it?
Answer:
The momentum of an object varies directly with the speed of the object.
Explanation:
Two objects of different mass are moving at the same speed; the more massive object will have the greatest momentum. A less massive object can never have more momentum than a more massive object.
Which guideline best reflects how private information should be protected when using social networks? All social media users are screened and safe to engage with. Protect your private information by setting your account to private and only adding people you actually know. Only share your passwords with close friends that you trust. It is safe to share personal information with companies on social networking sites.
Answer:
hescorrect i just took the test and that was the awnser
Explanation:
if u need i can give the other awnsers
Answer:
(A. 1.) Protect your private information by setting your account to private and only adding people you actually know.
Explanation:
Gravitational force acts on all objects in proportion to their masses. Why then, a heavy object does not fall faster than a light object?
Plss help!!!!
Answer:
This is because the acceleration of objects due to gravity is independent of the mass of the object and is constant for all objects, therefore, all objects fall with the same speed.
Explanation:
The weight of an object or force of gravity acting on an object on the surface of earth is a product of its mass and acceleration due to gravity.
Mathematically, w = mg
where, m=mass of the object; g = acceleration due to gravity
Also, from newton's law of gravitation, gravitational force on the object ,F = GMm/r²
where G is the gravitational constant; M is mass of Earth; m is mass of object; r is the distance of separation between the object and the center of mass of the earth which is approximately the radius of earth.
Since the weight of an object is equal to the force of gravitation acting on it
W = F
mg = GMm/r²
g = GM/r²
The expression above is that of the relationship between the force of gravity acting on a body on the earth's surface, the weight of that body and the acceleration due to gravity, g.
It can be seen that the acceleration due to gravity g is independent of the mass of the object. Therefore, the acceleration of objects due to gravity is constant for all objects and all objects fall with the same speed.
Answer:
The time of fall of an object is dependent only on the height of fall for a given acceleration due to gravity and it is independent of the object's mass
Explanation:
The gravitational force acting on an object on Earth can be observed as the weight, 'W', of the object which is a function of the mass, 'm', of the object and the relationship between the gravitational force and the mass of the object is given as follows;
W = m × g
Where;
g = The acceleration due to gravitational force = Constant
The relationship between the speed, 'u', and therefore, the time, 't', with which an object falls, the distance or height of fall, 'h', and the acceleration of the motion, 'g' is given as follows;
h = u·t + 1/2·g·t²
Given that the initial velocity of the object, 'u', of the object allowed to fall is u = 0 m/s, we have;
h = u·t + 1/2·g·t² = 0 × t + 1/2·g·t²
h = 0 × t + 1/2·g·t² = 1/2·g·t²
h = 1/2·g·t²
t² = 2·h/g
t = √(2·h/g)
Therefore, the time, 't', it takes every object to fall from a height, 'h', is dependent only on the height, 'h', for a given acceleration due to gravity, 'g' and it is independent of the mass, 'm', of the object.
what is kinetic energy
Answer:
Kinetic energy is the movement of objects based on their mass and motion
Explanation:
A form of energy that an object or a particle has by reason of its motion. kinectic energy is a property of a moving object or particle and depends not only on its motion but also on its mass
what is the difference between an open and closed circuit?