Answer:
76200
Explanation:
what is the impulse/ change in momentum of a 1.0 kg clay ball that is accelerated from rest to m/s?
Final answer:
To calculate the impulse or change in momentum, multiply the force exerted on the ball by the time interval. Using the example provided, for a 1.0-kg ball and a 33 N force over 0.045 s, the impulse would be 1.485 kg·m/s.
Explanation:
The question is about calculating the impulse or change in momentum of a clay ball. Impulse can be found by multiplying the mass of the object by the change in velocity (which is also the change in momentum). If the final velocity of the ball is missing in the question and needs to be provided, we can still find the impulse using the given information.
For example, if a 1.0-kg ball of putty falls vertically and hits the ground receiving a force, the change in momentum can be calculated. The magnitude of impulse is equal to the force exerted on the ball by the ground multiplied by the time interval during which the force was applied.
If the force is 33 N and it was applied for 0.045 s (as given in the reference), the impulse would be:
Impulse = Force x time interval = 33 N x 0.045 s = 1.485 kg·m/s
With an initial velocity of 0 m/s and a final velocity of 5 m/s, the change in momentum is 5 kg·m/s.
The impulse experienced by an object is equal to the change in its momentum. Given a 1.0 kg clay ball accelerated from rest to a final velocity of 5 m/s, we can calculate the impulse using the following steps:
Initial velocity (u): 0 m/s (since it starts from rest)
Final velocity (v): 5 m/s
Mass (m): 1.0 kg
The change in momentum (Δp) can be found using the formula: Δp = m × ( v - u )
Substituting the values, we get: Δp = 1.0 kg × (5 m/s - 0 m/s) = 5 kg·m/s
Therefore, the impulse/ change in momentum of the clay ball is 5 kg·m/s.
The Milky Way is the name of the _______ where the Earth is located. A. orbit B. universe C. galaxy D. solar system
The name of the Milky Way in which planet Earth is located is Galaxy.
A Galaxy is a collection of billions or millions of stars, as well as dust and gas, that is gravitationally bound together by a super-massive black hole at its center. The Greek term galaxies, which translates to "milky" and refers to the Milky Way.
There are solar systems within galaxies. Our Solar system is a part of the Milky Way galaxy. Our solar system contains the planet Earth, where we reside. In summary, your planet is located in the Milky Way. It is only a tiny portion of the Milky Way Galaxy.
So, Milkyway is the galaxy in which we live or our planet Earth is a part of.
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How can you use graphs to calculate the displacement of an object?
O
A. Find the area under the position-time graph
O
B. Find the slope of the position-time graph
O
C. Find the area under the velocity-time graph
O
D. Find the slope of the velocity-time graph
Answer:
C
Explanation:
The order is this: Displacement --> Velocity --> Acceleration. The velocity directly affects the displacement and the acceleration directly affects the velocity. (changing the acceleration changes the velocity which also changes the displacement).
To go forward in our order, find the slope of the curve/line. To go backwards, find the area under the curve/line. In this case, we are trying to find the displacement of the object, so we should find the area of a velocity-time graph.
To calculate the displacement of an object using graphs, you can either find the area under the position-time graph or the slope of the velocity-time graph.
Explanation:To calculate the displacement of an object using graphs, you can use two different methods:
Find the area under the position-time graph: By calculating the area under the curve of the position-time graph, you will determine the displacement of the object. The area represents the distance traveled.Find the slope of the velocity-time graph: The slope of the velocity-time graph represents the object's acceleration. By integrating the acceleration function, you can determine the velocity. Then, by integrating the velocity function, you can find the displacement.Therefore, the correct options are A and D.
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A light bulb provides a resistance of 20 Ω to the 30 A current that runs through it. Determine the voltage of the battery in the flashlight.
0.7 V
2 V
51 V
600 V
Explanation:
Ohm's law:
V = IR
V = (30 A) (20 Ω)
V = 600 V
Answer:
The voltage of the battery in the flashlight is 600 v
Explanation:
A light bulb provides a resistance of 20 Ω to the 30 A current that runs through it. Determine the voltage of the battery in the flashlight.
To determine the voltage of this battery,all we need to do is to use the formula;
V= IR
where v = voltage
I = current
R= resistance
From the question given;
resistance (I) is given to be 20 while current(I) is 30
We can now proceed to insert our values into the formula;
V= IR
V = 20 × 30
v = 600 v
The voltage of the battery in the flashlight is 600 v
A 0.10kg hockey puck decreases it’s speed from 40m/s to 0m/s in 0.025s. Determine the force that it experiences
A ______ object is a source if light.
Answer: Reflective
Explanation:
Most see natural and artificial light sources to be emitters of light and many also believe that bright and shiny objects like mirrors are also sources of light. An important reason for this is that students' conscious experiences of 'reflection' are associated with mirrors and other shiny smooth surfaces.
Question 3 (1 point)
You are helping your aunt move a piano on wheels from one room to another. When you push the piano horizontally, it moves at constant speed. What can you say about the piano
The force of friction is equal to the pushing force, and the acceleration is zero
Explanation:
In this problem, we are pushing a piano along the floor, in the horizontal direction.
There are 2 forces acting in the horizontal direction on the piano:
The applied force, [tex]F_a[/tex], acting forwardThe force of friction, [tex]F_f[/tex], acting backwardTherefore, the net force in the horizontal direction is
[tex]\sum F = F_a - F_f[/tex]
According to Newton's second law, the net force is equal to the product between the piano's mass (m) and its acceleration:
[tex]\sum F = ma[/tex]
Combining the two equations,
[tex]F_a - F_f = ma[/tex]
However, we are also told that the piano moves at constant speed, therefore the acceleration is zero:
[tex]a=0[/tex]
And so,
[tex]F_a - F_f = 0\\F_f = F_a[/tex]
which means that the force of friction is equal to the applied force.
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How do base-isolators, the rubber and steel pads under some buildings, reduce earthquake damage?
They make a building soundproof.
They prevent fires from spreading.
They protect utility lines and water mains.
They absorb the energy of seismic waves.
Answer:
D
Explanation:
it just is
Final answer:
Base isolators, such as rubber and steel pads, absorb the energy of seismic waves to reduce earthquake damage. They allow the building to move and vibrate while keeping the rest of the structure stable.
Explanation:
Base isolators, such as rubber and steel pads, are used under some buildings to reduce earthquake damage. They work by absorbing the energy of seismic waves, which helps to minimize the impact on the structure. When an earthquake occurs, the base isolators allow the building to move and vibrate, while the rest of the structure remains relatively stable. This helps to protect the building from collapsing or sustaining significant damage.
80N force ;
height: 5m
it reaches a final velocity of 4 m/s
(no mass given)
wanted : power of the engine
The power of the engine is 320 W.
Explanation:
Power may be defined as the rate of doing work (or) work done per unit time. One unit of energy is used to do the one unit of work.
Power = Work done / Time taken
Given, Force = 80 N, height = 5 m , final velocity = 4 m/s
To calculate the power, we must know the time taken.
To find the time, use the distance and speed formula which is given by
Time = Distance / speed
Here distance = 5 m and speed = 4 m/s
Time = 5 / 4 = 1.25 s.
Now, Power = work done / time
= (F * d) / t = (80 * 5) / 1.25
Power = 320 W.
The standard unit of power is watt (W) which is joule per second.
How does Newton's first law of motion affect people in a car crash?
Answer:
When the car crashes there is no balanced force acting on the person so they continue forward in the car
Explanation:
What will happen in the diagram if a lightbulb
placed at D and B is closed?
•The lightbulb will be off.
•The lightbulb will be dimmer than
normal.
•The lightbulb will be on.
•The lightbulb will be short circuited.
ingle
Answer:
Explanation:
There is no other resistance in the circuit. It is as though B was a wire. The light bulb with show its normal brightness with a voltage of A. So the answer is C
A: the lightbulb will light A is incorrect.
B: is incorrect. It will be as bright as is normal for bulb and battery
D: is incorrect. If the switch were placed across D, then the light bulb would be shorted out.
Compare relative age with absolute age.
Answer & Explanation:
Relative age is the age of a rock layer (or the fossils it contains) compared to other layers. It can be determined by looking at the position of rock layers. Absolute age is the numeric age of a layer of rocks or fossils.
Explain why the height of the liquid column in a barometer changes as atmospheric pressure changes.
Answer:
Explanation:
760 mm: Because mercury (Hg) is about 13.6-times denser than water, a mercury barometer only needs to be as tall as a water barometer—a more suitable size. Standard atmospheric pressure of 1 atm at sea level (101,325 Pa) corresponds to a column of mercury that is about 760 mm (29.92 in.) A height of a liquid column will get increased or decreased according to the force of the atmospheric pressure. ... Pressure (P) is inversely proportional to Area (A). So if the area of the column is lesser then Force (F) of the atmospheric pressure is greater
find the acceleration experienced by each of the two objects , if the coefficient of kinetic friction between the 7kg object and the plane is 0.25
The acceleration experienced by each of the two objects, if the coefficient of kinetic friction between the 7kg object and the plane is 0.25 is 5.39m/s²
To solve this problem, we will use Newton's second law of motion. According to the law:
F = ma where:
F is the applied force
m is the mass
a is the acceleration of the body
For the body on the inclined, the sum of force on the body m1 is expressed as:
T - μR = m1a ............ 1
T - μmgcosθ = m1a ............ 1
For the body hanging, the sum of force on the body m2 is expressed as:
m2g - T = m2a ..............2
T is the tension
μ is the coefficient of friction
m1 and m2 are the masses
θ is the angle of inclination
a is the acceleration
Adding both equation will give:
- μm1gcosθ + m2g = (m1+m2)a
substitute the given values into the formula
-0.25(7)(9.8)cos 28 + 12(9.8) = (7+12)a
-17.15cos 28 + 117.6 = 19a
-15.143+117.6 = 19a
102.457 = 19a
a = 102.457/19
a = 5.39m/s²
Hence the acceleration experienced by each of the two objects, if the coefficient of kinetic friction between the 7kg object and the plane is 0.25 is 5.39m/s².
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The acceleration experienced by each of two objects, we can use Newton's second law and the equations ΣF = m × a. For the box sliding down the ramp, we subtract the force of kinetic friction from the gravitational force to find the net force. For the mass being pulled by two forces, we add the forces together to find the net force. Solving these equations will give the acceleration experienced by each object.
To find the acceleration experienced by each of the two objects, we need to apply Newton's second law, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = m * a). In this case, we have two different scenarios:
For the 20.0-kg box sliding down the ramp, the net force can be calculated as the difference between the gravitational force (m × g × sin(theta)) and the force of kinetic friction (μk × m × g × cos(theta)), where μk is the coefficient of kinetic friction, m is the mass of the box, g is the acceleration due to gravity, and theta is the angle of the ramp with the horizontal. The net force can be equated to m × a to find the acceleration of the box.For the 1.5-kg mass being pulled by the forces (4.0 - 3.0j) N and (2.01 - 1.4j) N, we can use the equation ΣF = m × a, where ΣF is the net force on the mass, m is the mass of the mass, and a is the acceleration of the mass. Adding the two forces together will give the net force, which can be equated to m * a to find the acceleration of the mass.By solving these equations, we can find the acceleration experienced by each of the two objects.
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Drag the tiles to the correct boxes to complete the pairs. Match the symbols used in electric circuit diagrams to their functions. a device that converts electric energy into sound energy arrowRight a device that glows when it receives current arrowRight a device that provides energy to a circuit arrowRight a device that starts or stops the flow of current arrowRight
Answer:
In the picture
Explanation:
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A constant force of 20N acting on a body initirat rest gives an acceleration of 0.1m/s for 45s . Caculate that work done by the force
The work done is 2026 J
Explanation:
First of all, we calculate the distance covered by the body; since the motion is uniformly accelerated, we can use the suvat equation:
[tex]s=ut+\frac{1}{2}at^2[/tex]
where
u = 0 is the initial speed
[tex]a=0.1 m/s^2[/tex] is the acceleration
t = 45 s is the time
s is the distance covered
Substituting,
[tex]s=0+\frac{1}{2}(0.1)(45)^2=101.3 m[/tex]
Now we can find the work done by the force, which is given by
[tex]W=Fs[/tex]
where
F = 20 N is the force applied
s = 101.3 m is the displacement of the object
Substituting,
[tex]W=(20)(101.3)=2026 J[/tex]
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Which of the following elements most likely has the highest boiling point?
a. aluminum
b. chlorine
C. argon
d. phosphorous
Answer:
Explanationalluminiim
a) aluminium
Mark as Brainliestshe travels 5km north 3km east 1km north again what is the distance and displacement she walks 3hrs what is the average speed and average velocity
1) Distance: 9 km, displacement: 6.7 km at [tex]63.4^{\circ}[/tex] north of east
2) Speed: 3 km/h, velocity: 2.2 km/h at [tex]63.4^{\circ}[/tex] north of east
Explanation:
1)
Distance is the total length of the path travelled by an object, regardless of the direction of motion. It is a scalar quantityDisplacement is a vector connecting the initial position to the final position of motion of an object, so it also takes into account the directionIn this problem, the person travels:
5 km north
3 km east
1 km north
Therefore, the distance covered is simply the sum of these paths:
d = 5 + 3 +1 = 9 km
Instead, for the displacement we have to see what is the final position. The total displacement in the north direction is
[tex]d_y = 5 + 1 = 6 km[/tex]
While the displacement in the east direction is
[tex]d_x = 3 km[/tex]
Since the two are perpendicular in direction, we can find the length of the total displacement by using Pythagorean's theorem:
[tex]d=\sqrt{d_x^2+d_y^2}=\sqrt{3^2+6^2}=6.7 km[/tex]
And the direction is
[tex]\theta=tan^{-1}(\frac{d_y}{d_x})=tan^{-1}(\frac{6}{3})=63.4^{\circ}[/tex] north of east.
2)
The average speed of a body is a scalar quantity given by
[tex]speed=\frac{distance}{time}[/tex]
In this problem,
distance = 9 km
time elapsed = 3 h
Therefore, the speed is
[tex]speed=\frac{9 km}{3 h}=3 km/h[/tex]
The average velocity of a body is a vector quantity given by
[tex]velocity = \frac{displacement}{time}[/tex]
In this problem,
displacement = 6.7 km
time elapsed = 3 h
Therefore, the velocity is
[tex]velocity = \frac{6.7}{3}=2.2 km/h[/tex]
And the direction is the same as the displacement ([tex]63.4^{\circ}[/tex] north of east)
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What is the electric force acting between two charges of 0.0042 C and
-0.0050 C that are 0.0030 m apart?
Use F. - k9192 and k=9.00 x 10°N VIC
The electric force acting between the two charges is - 2.1 * 10^10.
Explanation:
An electric force is exerted between any two charges. Objects with the same charge, having both positive negative charges repel each other, and objects with opposite charges will attract each other.
The formula for finding the electric force is given by,
F = (k q1 q2) / r^2
= (9 * 10^9)(4.2 * 10^-3)(-5 * 10^-3) / (3 * 10^-3)^2
F = -2.1 * 10^10.
Delivery drone approaches a customer's porch flying at 8.65 m above the porch at 21.5 km/hr. (a) at what horizontal distance from the desired landing spot should it release a package? (b) at what speed will the package hit the porch?
a) Horizontal distance covered: 8.0 m
b) The final speed is 14.3 m/s
Explanation:
a)
The motion of the package is a projectile motion, so it consists of two independent motions:
- A uniform motion (constant velocity) along the horizontal direction
- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction
First of all, we have to find the time of flight of the package. This is given by the vertical motion, and we can do it by using the suvat equation:
[tex]s=u_y t+\frac{1}{2}at^2[/tex]
where:
s = 8.65 m is the vertical displacement of the package (the initial height from which is thrown)
[tex]u_y=0[/tex] is the initial vertical velocity (the package is thrown horizontally)
t is the time of flight
[tex]a=g=9.8 m/s^2[/tex] is the acceleration of gravity
Solving for the time of flight we find:
[tex]t=\sqrt{\frac{2s}{g}}=\sqrt{\frac{2(8.65)}{9.8}}=1.33 s[/tex]
Therefore the package lands after 1.33 s.
Now we can study the horizontal motion: the package moves horizontally with a constant velocity of
[tex]v=21.5 km/h \cdot \frac{1000}{3600}=6.0 m/s[/tex]
And therefore the distance it covers in 1.33 s is
[tex]d=v_x t =(6.0)(1.33)=8.0 m[/tex]
So the package covers a horizontal distance of 8.0 m.
b)
As we said previously, the horizontal velocity of the package is constant, and it is
[tex]v_x = 6.0 m/s[/tex]
On the other hand, the vertical velocity is constantly changing, and it is given by
[tex]v_y = u_y + at[/tex]
where
[tex]u_y = 0[/tex] (initial vertical velocity)
[tex]a=g=9.8 m/s^2[/tex]
Substituting t = 1.33 s, we find the final vertical velocity:
[tex]v_y = 0 +(9.8)(1.33)=13.0 m/s[/tex] (in the downward direction)
Therefore, the final speed is given by:
[tex]v=\sqrt{v_x^2+v_y^2}=\sqrt{6.0^2+13.0^2}=14.3 m/s[/tex]
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Answer:
(a) [tex]x=7.93\ m[/tex]
(b) [tex]v=15.25\ m/s[/tex]
Explanation:
Horizontal Launching
When an object is released from certain height h with a (only) horizontal speed vo, it describes a curved trajectory with a constant speed in the horizontal direction and a variable speed in the vertical direction, constantly changed by the acceleration of gravity. Their equations are
[tex]v_x=v_o[/tex]
[tex]v_y=g.t[/tex]
The distances traveled in both directions are
[tex]x=v_o.t[/tex]
[tex]\displaystyle y=h-\frac{gt^2}{2}[/tex]
(a)
The package dropped by the drone will land when it travels down all its initial height, thus the flight time must comply:
[tex]\displaystyle 0=h-\frac{gt_f^2}{2}[/tex]
Solving for [tex]t_f[/tex] :
[tex]\displaystyle t_f=\sqrt{\frac{2h}{g}}[/tex]
The data is: h=8.65 m, v_o=21.5 Km/h = 5.972 m/s
[tex]\displaystyle t_f=\sqrt{\frac{2(8.65)}{9.8}}=1.33\ sec[/tex]
Thus, the horizontal distance is
[tex]x=(5.972)*(1.33)=7.93\ m[/tex]
[tex]\boxed{x=7.93\ m}[/tex]
(b)
The horizontal speed at landing time is (constant)
[tex]v_x=5.972\ m/s[/tex]
The vertical speed is
[tex]v_y=(9.8)*(1.33)=13.024\ m/s[/tex]
The magnitude of the total speed is
[tex]v=\sqrt{v_x^2+v_y^2}[/tex]
[tex]v=\sqrt{(7.93)^2+(13.024)^2}=15.25\ m/s[/tex]
[tex]\boxed{v=15.25\ m/s}[/tex]
Although cleaner, why isn’t nuclear power used more than fossil fuels?
Explanation:
Nuclear power is derived from energy in nuclear reactions. They require a fuel in form of radioactive substances that disintegrate to produce a massive amount of energy.
Here are some drawbacks to use of nuclear power;
Radioactive wastes in spent rods are very difficult to dispose. These waves are massive environmental concerns before plants can be cited. it requires lot of the technological knowledge to built and maintain. Nuclear fall out from the plant be very terrible such as seen in Chernobyl. The fuels used are not as abundant as fossil fuels on earth.learn more:
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Which of these is a good example of Newton's First Law of inertia
Answer:
Its is A
Explanation:
Which of these is a good example of Newton's First Law of inertia
A)
a ball sits motionless on the ground
B)
a ball gathers speed as it rolls downhill
C)
a ball accelerates as it falls out of the classroom window
D)
a ball slows down after it is kicked through the grass
Final answer:
A ball at rest exemplifies Newton's First Law of inertia, as it will remain stationary unless acted upon by an external force. Other options involve external influences such as gravity and friction, which cause changes in motion.
Explanation:
Newton's First Law, often referred to as the law of inertia, dictates that an object will remain at rest or move at a constant velocity unless acted upon by a net external force. One of the choices that best exemplifies this concept is: A) a ball sits motionless on the ground.
This scenario shows that the ball will stay at rest since there is no external force causing it to move. In contrast, the other options involve accelerating, decelerating, or being under the influence of gravity, indicating that there are external forces at play.
To further illustrate this principle, consider when a ball is kicked through the grass and begins to slow down as in option D). It is the frictional force acting opposite to the direction of motion that causes the ball to decelerate. If there was no friction or other net external force, the ball would continue to move at a constant velocity in a straight line, a concept rooted in the First Law of inertia.
The mass of an object is a measure of its inertia. This means that heavier objects (greater mass) require more force to change their state of motion. Therefore, two balls with the same size but different masses, when subjected to the same force, will not travel the same distance due to the difference in inertia.
Explain the difference between the arrangement of particles in different matter.
The difference between the different the arrangement of particles in different states of matter is "how the particles are arranged".
Explanation:
The matter is any substance made of particles like atom, molecules or ions that has mass and require space by having volume. The matter present in universe are basically in three states as follows and differ from each other according to the arrangement of particles:
Solid matter: Here particles are tightly packed in a regular structure, rigid in nature while these particles only slightly vibrate in their stable position due to compactness.Liquid matter: Here particles are tightly packed but free to move from each other, as they have can do both rotate and vibrate more than the particles in solid phase therefore volume is independent.Gaseous matter: Here particles are spread out and move randomly as large amount of space is present between them and independent from volume, shape or size.Which is the best description of a molecule?
O Amolecule of an element is composed of at least two types of atoms.
O Amolecule of a compound is composed of only one type of atom.
O Amolecule of a compound is composed of at least two types of atoms.
O Amolecule of an element is composed of exactly two types of atoms.
A molecule of a compound is composed of at least two types of atoms.
Explanation:
The particle that are very smaller and are found in an element or a compound is called as molecule. The molecules have the compound's or the element's chemical properties. Chemical bonds links the molecules to stay together. Atoms are the things that makes up the molecule.
The atoms that are present are similar in the molecule of an element. A molecule of a compound contains at least two types of atoms. For example let us consider a compound water. this contains hydrogen and oxygen. In water there will be 2 hydrogen and one oxygen atom. Now let us consider an example of the molecule of an element which is an oxygen. this contains two atoms but they both will be oxygen.
Answer:
The answer to question is A molecule of a compound is composed of at least two types of atoms.
Explanation:
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you can increase the ideal mechanical advantage of an inclined plane by decreasing the ______ of the inclined plane
Answer:
You can increase the ideal mechanical advantage of an inclined plane by decreasing the angle of the inclined plane
Explanation:
Mechanical Advantage Of An Inclined Plane
Since the sloping surface of the inclined plane is always greater than its height, the ideal mechanical advantage of an inclined plane is always greater than 1. To compute the ideal mechanical advantage for an inclined plane, we divide the length of the incline by the height of the incline. For example, An inclined plane that is 10 meters long and 5 meters high has an ideal mechanical advantage of 2.
If we look at the inclined plane as a triangle formed with the height and the horizontal surface, the length L of the inclined plane is the hypotenuse of such triangle and h is the opposite leg of the angle formed with the floor. Since:
[tex]\displaystyle sin\alpha=\frac{h}{L}[/tex]
The mechanical advantage is
[tex]\displaystyle MA=\frac{L}{h}=\frac{1}{sin\alpha}[/tex]
As [tex]\alpha[/tex] decreases, its sine also decreases and the mechanical advantage (its reciprocal) will increase. Thus the answer is
You can increase the ideal mechanical advantage of an inclined plane by decreasing the angle of the inclined plane
You can increase the ideal mechanical advantage of an inclined plane by
decreasing the angle of the inclined plane.
What is Mechanical advantage?This is a term which is used to depict the ease at which work is done in
relation to the force applied.
A higher angle means that the frictional force is usually higher which
makes more force to be applied and work harder. Decreasing the angle of
the plane makes the frictional force lesser with a smaller force needed.
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Suppose a ball had a potential energy of 5 J when you dropped it.What would be it’s kinetic energy just as it hit the ground?
Answer:
Due to Conservation of Energy just as the ball hits the ground it's potential energy is assumed zero
Therefore disregarding air resistance all energy is converted into potential energy.
So KE = PE
(5 J)
I will give brainliest to the best answer! I don’t understand vectors. This whole sheet is confusing me and i’m very behind, please help!!
Explanation:
1. To graphically add vectors, use the tail-to-tip method. Draw the first vector (it doesn't matter which), then draw the second vector where the first vector ends. The resultant vector is from the tail of the first vector to the tip of the second vector.
This graph shows two ways to get the resultant: A + B or B + A.
desmos.com/calculator/bqhcclhhqc
2. To algebraically add vectors, split each vector into x and y components.
Aₓ = 5.0 cos 45 = 3.5
Aᵧ = 5.0 sin 45 = 3.5
Bₓ = 2.0 cos 180 = -2.0
Bᵧ = 5.0 sin 180 = 0
The components of the resultant vector are the sums of the components of A and B.
Cₓ = 3.5 + -2.0 = 1.5
Cᵧ = 3.5 + 0 = 3.5
The magnitude of the resultant vector is found with Pythagorean theorem, and the direction is found with tangent.
C = √(Cₓ² + Cᵧ²) ≈ 3.9 m/s
θ = atan(Cᵧ / Cₓ) ≈ 67°
At what vertical velocity should no object be launched at in order to achieve a height of 20m?
Answer:
19.8 m/s
Explanation:
Given:
Maximum vertical displacement of the object (H) = 20 m
Acceleration due to gravity (g) = 9.8 m/s²
At maximum height, the velocity of the object is 0 m/s for a moment. So, final velocity (v) at the maximum height is 0 m/s.
Now, let the initial velocity or velocity at launch be 'u' m/s.
Now, using the following equation of motion for vertical motion:
[tex]v^2=u^2-2gH[/tex]
Rewriting in terms of 'u', we get:
[tex]u^2=v^2+2gH\\\\u=\sqrt{v^2+2gH}[/tex]
Plug in the given values and solve for 'u'. This gives,
[tex]u=\sqrt{0+2\times 9.8\times 20}\\\\u=\sqrt{392}\\\\u=19.8\ m/s[/tex]
Therefore, the vertical velocity at the launch is 19.8 m/s.
determine the percent yield of copper by dividing the actual yield (in moles) by the theoretical yield (in moles). percent yield = %
Answer:
79% is = to the percent yield
Answer:
79
Explanation:
16. (I) (a) If the kinetic energy of a particle is tripled, by what
factor has its speed increased? (b) If the speed of a particle
is halved, by what factor does its kinetic energy change?
The (a) speed increases by square root of 3 on tripling of kinetic energy and (b) kinetic energy is reduced by 1/4th if the speed is halved.
Explanation:
Kinetic energy is the energy exhibited or released by any body in motion. So kinetic energy is directly proportional to the product of mass and square of velocity.
K.E = [tex]\frac{1}{2}mv^{2}[/tex]
(a) Since the kinetic energy is tripled then
New kinetic energy = 3 * old kinetic energy
[tex]\frac{1}{2}mv_{new} ^{2} = 3 *\frac{1}{2}mv_{old} ^{2}[/tex]
On cancelling the common terms of both side, we get
[tex]v_{new} ^{2} = 3 v_{old} ^{2}[/tex]
Squaring on both sides ,we get
[tex]v_{new}=\sqrt{3} v_{old}[/tex]
So the speed is increased by factor of square root when the kinetic energy is tripled.
(b) Similarly, if speed is halved, then
[tex]kinetic energy = \frac{1}{2}m(\frac{v}{2})^{2}[/tex]
Kinetic energy = 1/4×old kinetic energy.
So if the speed is halved, then the kinetic energy will be reduced by 1/4 of old kinetic energy.
Thus, the (a) speed increases by square root of 3 on tripling of kinetic energy and (b) kinetic energy is reduced by 1/4th if the speed is halved.
When the kinetic energy of a particle is tripled, the speed of the particle increases by a factor of √3. Conversely, if the speed of a particle is halved, the kinetic energy decreases by a factor of 1/4.
Explanation:The kinetic energy (KE) of an object is governed by the equation KE = 1/2mv^2, where m is mass and v is speed.
(a) If the kinetic energy of a particle is tripled, its speed increases by a factor of √3 i.e., approximately 1.73. This is because the kinetic energy equation shows that KE is proportional to the square of the speed, hence if KE is tripled (x3), the speed is multiplied by the square root of 3 (√3).
(b) If the speed of a particle is halved, the kinetic energy changes by a factor of 1/4. This is because the kinetic energy is proportional to the square of the speed, so if the speed is reduced to half (1/2), the kinetic energy is reduced to its quarter (1/4).
Learn more about Kinetic Energy here:https://brainly.com/question/26472013
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