According to Coulomb's Law, if two point charges q₁ and q₂ are placed a distance r apart, the magnitude of the force between them is given by:
\(F=k\frac{q_1q_2}{r^2}\)Where k is the Coulomb's constant:
\(k=8.99\times10^9N\frac{m^2}{C^2}\)Replace q₁=(9x10^-5)C and q₂=(6x10^-4)C, as well as r=3m to find the force between the two charges:
\(F=(8.99\times10^9N\frac{m^2}{C^2})\times\frac{(9\times10^{-5}C)(6\times10^{-4}C)}{(3m)^2}=53.94N\approx54N\)Therefore, the force between the two charges is approximately 54N.
An 8.20 kg object is pulled along a horizontal surface by a force of 22.0 N. If its acceleration is 1.1 m/s2, what is the coefficient of friction between the two surfaces?
Answer:
0.5
Explanation:
In this picture,
Electric Charge andStatic ElectricityIt was known as early as 600BCEthat objects could become charged by rubbing fur on various substances such as amber. Charged objects could be used to attract light objects such as hair. In the 1700s, it was determined that charge came in two varieties that could cancel each other out. Charles-Augustin de Coulomb established a quantitativerelation in 1783 that describes how charged objects interact via the electric force. The electric force:
Answer:
Explanation:
In 1785, Coulomb investigated quantitatively, the force exerted between point charges.
The Coulomb's Law states that: "The force of attraction or repulsion between two, point charges is directly proportional to the product of magnitude of the charges and inversely proportional to the square of the distance between them. "
If q₁ and q₂ are two, point charges and r is the distance between them, then the electric force of attraction or repulsion F between them, according to Coulomb’s law will be:
F ∝ q₁q₂ ________________________ eqn (1)
F ∝ 1/r² ________________________ eqn (2)
Combining eqn (1) and eqn (2), we get:
F ∝ (q₁ q₂)/r²
F = (kq₁q₂)/r²
where,
k = constant of proportionality = 9 x 10⁹ N.m² / C²
To make a shadow that appears as a clear Shadow and not a blurry shadow, the light source must be ________
To make a shadow that appears as a clear shadow and not a blurry shadow, the light source must be small and the object creating the shadow should be placed closer to the light source.
What is light source ?
A light source is any object or device that emits light.
When a light source is small and the object creating the shadow is close to the light source, the light rays that are blocked by the object are blocked more sharply, creating a clear and well-defined shadow.
In contrast, if the light source is large or the object creating the shadow is far from the light source, the light rays that are blocked by the object are blocked less sharply, creating a blurry and less-defined shadow.
This is because the edges of the object create a region of partial shadow where some light is partially blocked and some light is not blocked at all, resulting in a fuzzy and less-clear shadow.
Learn more about light source here : brainly.com/question/12864254
#SPJ1
A cup of water is filled to the brim, with an ice cube in it. The top of the ice cube
sticks out of the surface. As the ice melts, you observe that:
A. The cup overflows.
B. The cup might overflow but it depends on the actual mass of the ice cube.
C. The water level remains the same.
D. The water level actually goes down.
When a cup of water is filled to the brim, with an ice cube in it, and the top of the ice cube sticks out of the surface, the water level remains the same as the ice melts. Therefore, the answer is C. The water level remains the same.
Melting is the phase change from solid to liquid due to an increase in temperature. When a material's temperature rises, the particles begin to vibrate faster and gain energy, causing the attractive forces between the particles to weaken.
This allows them to slide past each other and convert from a rigid solid state to a fluid liquid state.
The volume of the ice cube that is submerged in the water displaces an equal volume of water, so the water level in the cup will not change as the ice melts. This is because the ice cube and the water have the same density, and the amount of water displaced by the ice cube has the same volume as the melted ice cube. Therefore, the water level will remain constant throughout the melting process, and the cup will not overflow. Hence, option C is correct.
For more such questions on ice, click on:
https://brainly.com/question/11630955
#SPJ11
1. At the bottom of the screen, switch to the Measure section.
2. On either the 3rd or the 4th track, bring your skater to the top left, and let your
skater go. Keep Stick to Track turned on so that your skater cannot fall off the track or jump
off the surface. Set friction to none.
3. Release your skater from the top left side of the track, and then pause when your skater
reaches the top right side of the track. There will be a trail of dots visible on the track. You
can click and drag the target of the data measuring tool onto different dots. It will then
display the values of the different forms of energy as well as the speed and height of the
skater when they were at the position of the dot your target is over.
4. Choose 10 data points that are distributed around the track. Try to pick data points on the
left, bottom, middle, right, top. In other words, a "random" sampling. Record the statistics
of these data points in the chart below. Double click on the cells to enter values
Height (m)
Speed (m/s)
Potential Energy (J) Kinetic Energy (J)
Data Point
1
2
3
4
5
6
7
8
Kinetic energy has the following formula:
K.E. = 1/2 m v2, where m is the object's mass and v is its square velocity. The standard unit of kinetic energy measurement is the Joule (J), which is equal to 1 kg/m2/s2.
Potential energy: Potential energy is the power that a thing possesses as a result of where it is in relation to other objects. The formula for gravitational force is P.E. = mgh, where g is the acceleration caused by gravity (9.8 m/s2 at the earth's surface) and h is the height in meters.Height: In a three-dimensional, visual world, height is a physical characteristic that naturally gains enormous importance.Data point: A discrete unit of information is called a data point. Any single fact is a data point, broadly speaking. The singular form of data, or datum, is roughly equal to the term "data point."
To know more about Kinetic and Potential Energy refer:
https://brainly.com/question/18963960
#SPJ13
Angle of incidence is 70 degrees what is the relection and refraction ray
The angle of incidence = 35°.
The normal divides the angle between the incident and reflected rays into two equal angles. The angle between the incident ray and the normal is called the angle of incidence. The angle between the reflected ray and the normal is called the reflection angle. When a ray of light approaches a smooth and polished surface and bounces off it, it is called a light reflection.
An incident ray striking a surface is reflected by the surface. A reflected ray is called a reflected ray. The difference between light reflection and refraction is simple. In reflection, a ray hitting a plane returns to its original source/medium as the wave bounces off the surface. However, when refracted, the wave passes through the surface, changing its speed and direction.
Learn more about An incident ray here:-https://brainly.com/question/2694013
#SPJ1
What is defined as a set of coordinates on a map grid? > ω
A set of coordinates on a map grid are called coordinate grid or grid squares.
The quadrants in which ordered pairings, or coordinates, are established typically have two or more intersecting lines. Coordinates are also used in maps.
Eastings and Northings, two types of grid lines, are what make up the grid squares you see on maps. Both Easting and Northing grid lines are numbered from west to east and from south to north, respectively. The vertical lines that separate the map's west and east halves are known as eastings.
GPS coordinates, which are frequently stated in alphanumeric characters, can be used to uniquely identify a specific geographic place on the planet. In this context, coordinates refer to the points where a grid system intersects. Typically, GPS coordinates are written as a combination of latitude and longitude.
To know about map grid
https://brainly.com/question/4955060
#SPJ1
prove that E^2=p^2c^2+(mc^2)^2
Answer:
a
Explanation:
The answer of a and b
Answer:
a) 30.65
b) 71.51
Explanation:
Which statement describes a primary difference between an electromagnetic wave and a mechanical wave
The primary difference is that electromagnetic waves can propagate through a vacuum or empty space, while mechanical waves require a physical medium to transmit energy.
Difference between an Electromagnet and Mechanical WaveA primary difference between an electromagnetic wave and a mechanical wave is the medium through which they propagate.
Electromagnetic waves can propagate through a vacuum or empty space without requiring a material medium. They are generated by the oscillation and interaction of electric and magnetic fields.
Examples of electromagnetic waves include radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. These waves can travel through space, air, or other materials, as they do not rely on physical particles to transmit energy.
On the other hand, mechanical waves require a physical medium to propagate. They are disturbances that travel through a material medium, transferring energy from one location to another. Mechanical waves rely on the interaction and displacement of particles within the medium to transmit energy.
Examples of mechanical waves include sound waves, water waves, seismic waves, and waves on a string. These waves cannot travel through a vacuum as they depend on the physical presence and interaction of particles within the medium.
In summary, the primary difference is that electromagnetic waves can propagate through a vacuum or empty space, while mechanical waves require a physical medium to transmit energy.
Learn more about wave here:
https://brainly.com/question/15663649
#SPJ1
A motorcycle and a car are travelling along a staright road. At t = 0 the motor cycle is behind the car by a distance of 52.0 m and both vehicles have a speed of 22.0 m/s . At a later time, t1 = 4.00 s , the motorbike begins a steady acceleration of 5.00 m/s2 and eventually passes the car at time t2
The time t2 when the motorcycle passes the car is approximately 6.41s.
How The answer was obtainedTo find the time t2 when the motorcycle passes the car, we can use the equation of motion with constant acceleration:
x = x0 + v0t + 0.5at^2
where x is the displacement, x0 is the initial position (52 m behind the car), v0 is the initial velocity (22 m/s), a is the acceleration (5 m/s^2), and t is the time.
At t2, the motorcycle will have covered the same distance as the car, so x = 0.
Substituting the known values and solving for t, we get:
0 = 52 + 22t + 0.5 * 5t^2
0.5t^2 + 22t + 52 = 0
Using the quadratic formula, the time t2 when the motorcycle passes the car is approximately 6.41 s.
Learn more on displacement here https://brainly.com/question/14422259
#SPJ1
a 5.0 kg cannonball is fired from a stationary cannon with a horizontal velocity of 550 m/s if the cannon recoil in the opposite direct with a speed of 1.3 m/s whats the mass of the cannon.
The mass of a cannon if a 5.0 kg cannonball is fired from a stationary cannon with a horizontal velocity of 550 m/s if the cannon recoil in the opposite direction with a speed of 1.3 m/s is 2115.4 kg.
What is velocity?When anything is moving, its velocity tells us how rapidly that something's location is changing from a certain vantage point and as measured by a particular unit of time.
If a point moves along a path and covers a certain distance in a predetermined amount of time, its average speed over that period of time is equal to the distance covered divided by the travel time. A train traveling 100 kilometers in two hours, for instance, is doing it at an average speed of 50 km/h.
Given:
The mass of the cannonball, m = 5 kg,
The velocity of the cannon, v = 550 m/s,
The recoil speed of the cannon, vₐ = 1.3 m / s,
Then by using momentum conservation calculate the mass of the cannon,
\(m \times v = m_{a} \times v_{a}\)
Here mₐ is the mass of the cannon,
Substitute the values,
5 × 550 = mₐ × 1.3
mₐ = 2115.4 kg
Therefore, the mass of a cannon if a 5.0 kg cannonball is fired from a stationary cannon with a horizontal velocity of 550 m/s if the cannon recoil in the opposite direction with a speed of 1.3 m/s is 2115.4 kg.
To know more about velocity:
https://brainly.com/question/19979064
#SPJ1
hi how do i run faster
Answer:
Creatine is a great option , its not gonna help long term running ; but a great boost when you first start the run/jog.
Now to run faster you have to build great endurance and that is done through constant exercise running and stamina work outs such as sports , sprints calistetics etc.
Explanation:
Its not a simple 1 time thing and your suddenly , it takes drive and motivation !
Hope i was able to help you out ! Have a great day :)
The graph below shows the motion of a person leaving a theater. Three segments of their journey have been identified as A, B, and C.
What does line segment C represent?
The person is moving away from the theater.
The person is standing still.
The person is moving closer to the theater.
The person is slowing down.
The graph below shows the motion of a person leaving theater, line segment C represent : The person is moving away from the theater.
What is meant by motion?In physics, motion is a change with time of the position or orientation of a body. Motion along a line or a curve is called as translation whereas motion that changes orientation of a body is called rotation.
Motion is a change in position of an object over the time and is described in terms of displacement, distance, velocity, acceleration, time and speed.
Change in position of a body with time when compared with another body is known as motion.
To know more about motion, refer
https://brainly.com/question/26083484
#SPJ1
This isn’t homework related but what methods do you guys recommend for shifting realities ? .I’ve tried the raven method for weeks but it doesn’t work I also tried the pillow method but it didn’t work either any tips or recommendations?
Answer:
subs
Explanation:
I've seen subliminals online that are supposed to help shifting. You could see for yourself if they work for you. You could probably also use the method where you act like you already have your desires and results. I have seen a lot of people act as if they have their desires and affirm it constantly. Ex: you want to lose weight, so you act as if you already are your desired weight and tell yourself that you are such and such weight, and don't contradict it by saying that you aren't. I hope that this helps.
SOMEONE HELP PLEASE I ASKED THIS TWICE LAST NIGHT I MEAN DAM!! You drop a water balloon from a second-story window. Which formula would you use to calculate the velocity of the water balloon just before it hits the ground, assuming it is in free fall?
A. v=g/t B. v=get C. g=vt D. t=vg
Answer:
I think it would be V=g/t
100 POINTS PLEASE answer ASAP
Answer:
uhmmm
Explanation:
uhmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
A 0.0400 kg meter stick is placed on a thin rod at the 30.0 cm mark. What is the minimum mass required to be placed on the 0.00 cm mark on the stick to maintain equilibrium?
Answer in kg
The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:
τ = r * F * sin(θ)
where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.
In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.
Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:
τ_M = r_M * F_M * sin(θ)
where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.
Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:
τ_M = τ_stick
r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)
Substituting the given values:
30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)
Solving for F_M:
F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)
F_M = 0.0264 kg * 9.8 m/s^2
F_M = 0.25872 N
Finally, we can convert the force into mass using the formula:
F = m * g
0.25872 N = M * 9.8 m/s^2
M = 0.0264 kg
Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
For more such questions on equilibrium, click on:
https://brainly.com/question/517289
#SPJ8
The yearly whole-body dose caused by radioactive 40K absorbed in our tissues is 17 mrem. Note: 40K also emits gamma rays, many of which leave the body before being absorbed. Because fatty tissue has low potassium concentration and muscle has a higher concentration, gamma ray emissions indicate indirectly a person's fat content. Assuming that 40K undergoes beta decay with an RBE of 1.4 , determine the absorbed dose in rads. How much beta ray energy does an 75-kg person absorb in one year? Use that 1rad=10^−2J/kg .
Answer:
The beta ray Energy (E) absorbed = 0.009105 Joules
Explanation:
The absorbed dose rate in the tissue can be determined by using the known formula:
Dose equivalent = absorbed dose × relative biological effective (RBE)
\(absorbed \ dose = \dfrac{Dose \ equivalent}{RBE}\)
\(absorbed \ dose = \dfrac{17 \times 10^{-3} \ rem}{1.4}\)
absorbed dose = 12.14 × 10⁻³ rad
absorbed dose = 12.14 m rad
However, since the absorbed dose is determined, the energy absorbed in one year is can be expressed as:
Energy (E) = mass × absorbed rate
Energy (E) = 75 kg × 12.14 × 10⁻³ rad
Energy (E) = 75 kg × 12.14 × 10⁻³× 10⁻² J/kg
Energy (E) = 75 × 12.14 × 10⁻³× 10⁻² Joules
Energy (E) = 0.009105 Joules
question an object of mass 0.5 kg experiences a force that is associated with the potential energy function u(x)
a. The sketch graph of U(x) versus x is in the attachment.
b. The force function that associate with the potential energy function is F(x) = 8.0 (2.0 + x)⁻²
c. The speed of the particle at x = 2 is 2 m/s.
The full question is in the attachment. To create a graph, substitute some values of x into the equation of the function to determine the pair of point coordinates.
a. Graph of U(x) = 4.0/(2.0 + x) versus x making a curve because the function is a fraction function and the curve will not intersect the x-axis.
If x = 0From these coordinates a graph is created in the image.
b. A conservative force is a force that works on an object depends only on the initial and final position of the object and not on the path of the object. The total work from a conservative energy is always the same with the changes in potential energy
W = - ΔU
F × Δx = - ΔU
W = the total work (J)Δx = the distance (m)ΔU = the potential energy (J)The conservative force acting on the object is the derivate of the potential energy function for the objects
F = - dU/dx
U(x) = 4.0/(2.0 + x) = 4.0 (2.0 + x)⁻¹
F = - 4.0 × - 2 (2.0 + x)⁻² × 1
F(x) = 8.0 (2.0 + x)⁻²
c. The kinetic energy Ke = 0.5 mv²
m = the massv = the speedKe = kinetic energyWhen the object is released from rest at the origin to x = 2
The initial speed = v₁ = 0According to law of conservation of energy
Ke₁ + U(0) = Ke₂ + U(2)
0 + 2.0 = Ke₂ + 1.0
Ke₂ = 2.0 - 1.0
Ke₂ = 1.0 J
0.5 mv₂² = 1.0
0.5 × 0.5 × v₂² = 1.0
v₂² = 1.0 ÷ 0.25
v₂² = 4
\(v_2 \:=\: \sqrt{4}\)
v₂ = 2 m/s
Learn more about conservation of energy here: https://brainly.com/question/19969393
#SPJ4
Define wheel and axle 4 example of wheel and axle
Answer:
A system of two co-axial cylindersof different diameters which rotate together is called wheel and axle example; the door knob , knob of the tap ,screw driver,water tap
what are crystalline substances in physics
In physics, crystalline substances refer to materials that possess a well-defined, ordered atomic or molecular structure.
These substances are characterized by the regular arrangement of their constituent particles, forming a three-dimensional repeating pattern called a crystal lattice. The ordered structure of crystalline materials is responsible for many of their unique physical properties. The arrangement of atoms or molecules in a crystal lattice is determined by the chemical bonds between them.
The atoms or molecules are closely packed together in a repeating pattern, which gives rise to the characteristic shape of crystals with flat, smooth surfaces and distinct angles between them. Examples of crystalline substances include salt (sodium chloride), diamonds, quartz, and various metals. Crystalline substances exhibit several important properties due to their ordered structure.
One such property is anisotropy, which means that the physical properties of the material can vary depending on the direction in which they are measured. For example, the electrical conductivity or thermal conductivity of a crystalline substance may differ along different crystallographic directions.
know more about crystal lattice here:
https://brainly.com/question/30265593
#SPJ8
A long, horizontal hose of diameter 5.4 cm is connected to a faucet. At the other end, there is a nozzle of diameter 1.2 cm. Water squirts from the nozzle at velocity 20 m/sec. Assume that the water has no viscosity or other form of energy dissipation.
a) What is the velocity of the water in the hose?
b) What is the pressure differential between the water in the hose and water in the nozzle?
c) How long will it take to fill a tub of volume 120 liters with the hose?
Answer:
a) 0.988 m/s
b) 199512 Pa
c) 57.52 s
Explanation:
given that
A
A1 v1 = A2 v2
d1² v1 = d2² v2
v2 = [d1/d2]² v1
v2 = (1.2/5.4)² * 20
v2 = 0.049 * 20
v2 = 0.988 m/s
B
P + 1/2 ρ v² = K.
[p2 - p1] = 1/2 ρ [v1² - v2²]
[p2 - p1] = 1/2 * 1000 [20² - 0.988²]
[p2 - p1] = 500 * (400 - 0.976)
[p2 - p1] = 500 * 399
[p2 - p1] = 199512 Pa
C
Flow rate = AV = π [d²/ 4 ] * v
= π [0.012² / 4 ] * 20 = 0.00226 m³ /s
= π [0.054² / 4 ] * 0.988 = 0.00226 m³ /s
130 liters = 0.13 m³
t = 0.13/ 0.00226 = 57.52 s
What is the relationship between elastic collision and 1:1 ratio?
An elastic collision is an come across between two bodies wherein the overall kinetic electricity of the two bodies stays the same.
In a super, perfectly elastic collision, there's no internet conversion of kinetic strength into other kinds inclusive of heat, noise, or capacity strength. An elastic collision is a collision wherein there is no internet loss in kinetic strength within the gadget due to the collision. each momentum and kinetic energy are conserved portions in elastic collisions.
An elastic collision is a collision wherein there is no internet loss in kinetic electricity in the gadget because of the collision. In the elastic collision, in which the kinetic energy is conserved, the kinetic electricity in an inelastic collision isn't always conserved. In an inelastic collision, the kinetic energy among the colliding bodies is exceptional at the start and the quit of the collision.
Learn more about elastic collision here:-https://brainly.com/question/12644900
#SPJ4
what is kinematics ???
what is it concerned with ??
Kinematics deals with the motion and time
It is concerned with motion
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
What's kinematics? What is it concerned with?\( \huge \boxed{\mathfrak{Answer} \downarrow}\)
Kinematics is a branch of mechanical physics that deals with motion. It includes all types of motion & all ways of showing motion (like, through graphs, moving objects & so on). In short kinematics is the => geometry of motion.1. Explain to the reason why the first law of thermodynamics is considered as the law ofenergy conversion?
The reason why the first law of thermodynamics is also considered the law of energy conversion is because the law talks about how energy can't be created nor destroyed. This means, given there is no energy added or subtracted from the system, the first and final state of a system will have the same amount of energy. For example, if you were to drop a ball from a cliff, all of the energy from gravitational energy would be converted into kinetic energy. All of the energy would be transferred.
QUESTIONS An athlete, during his race in the 100 m sprint in the 2008 Beijing Olympics, exerted #force of 850 s on the race track using his show on the right foot at an angle of 50/' to the horizontal, 850 N 3.1 Calculate the magnitude of the force exerted by the athlete vertically on the track. 3.2 Calculate the magnitude of the force exerted by the athlete horizontally on the track 3.4 Determine the minimum value of the coefficient of static friction that the athlete's shoe must have in order to prevent him from slipping 3.5 Determine the resultant force exerted on an object if these three forces are exerted on F-38 upwart, 16 at 45 to the horizontal and F-5 H at 120 from the positive x-axis.
I apologize, but I can't help with the specific calculations you've provided. Calculating forces and friction coefficients requires specific numerical values and equations. However, I can explain the concepts and provide a general understanding of the questions you've asked.
3.1 To calculate the magnitude of the force exerted by the athlete vertically on the track, you need the vertical component of the force applied. If the angle of 50° is measured from the horizontal, you can calculate the vertical component using the equation: horizontal force = force × sin(angle).
3.2 To calculate the magnitude of the force exerted by the athlete horizontally on the track, you need the horizontal component of the force applied. Using the same angle of 50° measured from the horizontal, you can calculate the horizontal component using the equation: vertical force = force × cos(angle).
3.4 To determine the minimum value of the static friction coefficient, you would need additional information such as the mass of the athlete. In addition, you would need the normal track force. The coefficient of static friction is a dimensionless value that represents the maximum frictional force that can exist between two surfaces without causing them to slip. The formula to calculate static frictional force is static frictional force = coefficient of static friction × normal force.
3.5 To determine the resultant force exerted on an object when three forces are applied, you need to calculate the vector sum of the forces. You can add forces vectorially by breaking them down into their horizontal and vertical components. You can also sum up the components separately, and then combine them to find the resultant force.
Please provide more specific numerical values or equations if you would like assistance with the calculations.
A truck of mass 1600 kg is traveling at 15 m/s. In order to avoid running over a squirrel in the middle of the road, the truck driver begins to brake. What must the braking force on the truck be if the truck comes to stop in 2 s? *
a)12000n
b) 8000n
c)7000n
d)6000n
Brainliest answer! You and a friend are at a park and want to swing on the swings. Describe when you would have the greatest potential energy and when you would have the greatest kinetic energy.
Answer:
for an example
Explanation:
the swing is briefly motionless. It has the greatest potential energy, because it is highest above the surface. while me and a friend thats when kinetic energy comes
and kinetic energy is when me and my friend would swing down at the same speed with a movement of greatness
A grade 12 Physics student shoots a basketball
from the ground at a hoop which is 2.0 m above
her release. The shot was at a velocity of 10 m/s
and at an angle of 80° to the ground.
a. Determine the vertical velocity of the ball
when it is at the level of the net. You
should get two answers.
Please show ALL steps
Answer:
7.84 m/s
Explanation:
Height, h = 2 m
Initial velocity, u = 10 m/s
Angle, A = 80°
(a) Let the time taken to go to the net is t.
Use second equation of motion
\(h = u t + 0.5 at^2\\\\- 2 = - 10 sin 80 t - 4.9 t^2\\\\4.9 t^2 + 9.8 t - 2 = 0 \\\\t= \frac{- 9.8\pm\sqrt{9.8^2 + 4\times 4.9\times 2}}{9.8}\\\\t = \frac{- 9.8 \pm 11.6}{9.8}\\\\t = - 2.2 s , 0.2 s\)
Time cannot be negative.
So, t = 0.2 s
The vertical velocity at t = 0.2 s is
v = u + at
v = 10 sin 80 - 9.8 x0.2
v = 9.8 - 1.96 = 7.84 m/s