4.28 m/s is the bird's speed immediately after swallowing the insect.
A) The birds speed after swallowing the insect is = 4.84 m/s
Given data :
mass of bird ( M₁ ) = 240 g
speed of bird ( U₁ ) = 6 m/s
mass of insect ( M₂ ) = 12 g
speed of insect ( U₂ ) = 30 m/s
Determine the birds speed of the bird
A) Birds speed after swallowing the insect
we will apply the principle of momentum conservation
M₁U₁ + M₂U₂ = ( M₁ +M₂ )V
= 240*6 - 12*30 = ( 240 + 12 ) V
= 1440 - 360 = 252 V
therefore ; V = 1080 / 252 = 4.28 m/s is the bird's speed.
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vector a has a magnitude of 10 units and makes an angle of 30 with the horizontal axis vector b has a magnitude of 25 and amkes an angle of 50 with the negative c what is the magnitude of the resultant between the two vectors
The resultant between the two vectors has a magnitude of 25.2 units. Vector b has a magnitude of 25 units, while vector a has a magnitude of 10 and forms a 30 degree angle with the horizontal axis.
In physics, magnitude is referred to as an object's maximal size and direction. Both vector and scalar values use magnitude as a common factor. We know that scalar quantities are those that have magnitude and nothing else by definition. Contrarily, vector quantities are those with both magnitude and direction.
An object's motion from one point to another is described by a vector.
A = 10 B = 25, and TETHA = 180 - 50 - 30 = 100 degrees.
R = (A2 + B2 + 2AB cos(100))1/2, Magnitude of the Resultant
R = (100+625+2*10*25*cos(100)^1/2
R = 25.2 units
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he noisy estabrook stifling team recently adopted a law to reduce the allowed sound level from leaf blowers from the current level of 96 db to 68 db. part description answer save status a. what is the ratio of the new allowed intensity to the previously allowed intensity?
The ratio of the newly allowed intensity to the previously allowed intensity is 3.1623 x 10⁻³.
Banks says a leaf blower makes 64 to 78 decibels at 50 feet. To the operator's ear, the noise is 95-115 decibels. According to Dangerous Decibels, a public-private partnership aimed at reducing hearing loss, typical speech is around 60 decibels, washing machines 75 decibels, and chainsaws 115 decibels.
Performance that fits your needs. Setting the motor to a low speed makes less noise. According to the American Green Zone Alliance, an organization dedicated to zero-emission landscaping, the average fan produces about 65 dB of noise. Compare this to the average noise level of a traditional gas backpack blower.
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provide one example for conduction, convection, and radiation that you have experience in your daily life.
Answer:
Explanation:
Conduction: touch a hot toaster oven (and get burned!)
Radiation: hold hands near a hot toaster oven to warm them up
Convection: see air above a hot toaster oven appear wavy as it rises
what if? if the hole is 10.0 m above the ground and the water is projected horizontally from the hole, how far (in m) from the base of the tank would a bucket have to be initially placed to catch the water from the leak?
The correct response is 1.428 velocity through orifice v2 = 2 gh v2 = 2 * 9.8 * 17 v = 18.254. initially
The amount of time it takes to get to the ground is initially
t=g 2 = 9.8 2100 =4.51s.
b) The horizontal distance before touching the ground, x=ut=204.5=90m c) The constant horizontal velocity over the frequency,
At "A," V x = 20 m/s, and V y = u+at= 0 + 9.8 4.5 = 44.1 m/s
Final velocity is equal to v r= (4.41) + (20) 2 =48.42 m/s tan, which is equal to x V y= 204.41 =2.205 =tan 1.428.
Water is inside a cylinder that is exposed to the atmosphere and is standing upright on a table. Although the side of the cylinder has three holes Speed of outflow at point D is equal to (2gD) length of time it takes to get there
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a wire has a diameter of 0.852cm and is 8.49m long. when connected to a 15.5v voltage source, the wire carries a 75.3a current. what is the resistivity, in ohm meters, of the wire?
The resistivity, in ohm meters, of the wire is 0.001228 Ωm.
Resistivity is a measure of a material's resistance to electric current. It is the inverse of electrical conductivity and is usually expressed in ohm-meters (Ω⋅m). Resistivity is an intrinsic property of a material, meaning that it does not depend on the size or shape of the material.
Resistivity is typically measured using a four-point probe method. This involves attaching four electrodes to the material, and then measuring the voltage between the two inner electrodes while passing a known current through them. The resistivity can then be calculated using Ohm's law.
Resistivity = (Voltage x Length) / (Current x Area)
= (15.5 x 8.49) / (75.3 x (π x (0.852/2)^2))
= 0.001228 Ωm
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two masses, a and b, are attached to different springs. mass a vibrates with amplitude of 8.0 cm at a frequency of 10 hz and mass b vibrates with amplitude of 5.0 cm at a frequency of 16 hz. how does the maximum speed of a compare to the maximum speed of b
Because A and B have maximum speeds of 5.024 m/s and 5.024 m/s, respectively, and because their two masses, a and b, are attached to different springs, both A and B have the same speed.
The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time or the size of the change in that object's position per unit of time. The distance travelled by an object in a time interval divided by the length of the interval gives the average speed of the object during that interval.
Vmax for A is 2 * pi * (10) * (0.08) = 5.024 m/s.
Vmax for B = 2*pi*(16)(0.05), which equals 5.024 m/s
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a -kg bullet is fired with a velocity of 108.6 m/s toward a 5.99-kg block moving at a speed of 0.280 m/s in the same direction. the bullet emerges with a speed of 20.7 m/s and with a small piece of the block with a mass of 0.0016 kg sticking to it. what is the kinetic energy lost in the collision?
The speed of the bullet is 721m/s as it leaves
The speed of the bullet is 937m/s as it enters block 1 .
From the question, we have
+x direction is to the right (so all velocities are positive valued).
(a) Applying momentum conservation,
(0.0035kg)ν=(1.8035kg)(1.4m/s)
⇒ν=721m/s .
(b) We use momentum conservation to connect the moment the bullet initially contacts the first block to the moment it has passed through it (using the speed v from section (a)).
(0.0035kg)V =(1.20kg)(0.630m/s)+(0.00350kg)(721m/s)
V =937m/s .
Linear Momentum:
The product of an object's mass, m, and its velocity, v, is the vector quantity known as linear momentum. It is represented by the letter "p," which is also used to denote momentum. Please be aware that the body's momentum always points in the same direction as its vector of velocity. Because it is a conserved quantity, a system's overall momentum is always constant. kg/s is the unit of linear momentum.
Complete question:
a 3.50g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass 1.20kg ) and embeds itself in block 2 (mass 1.80kg ). The blocks end up with speeds ν 1=0.630m/s and ν2 =1.40m/s (Fig.9-58b). Neglecting the material removed from block 1 by the bullet, find the speed of the bullet as it (a) leaves and (b) enters block 1 .
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an empty, isolated parallel plate capacitor has stored energy of 8.09 j. then a material with a dielectric constant of 4.80 is inserted between the plates. how much energy is now stored in the capacitor.
After a material with a dielectric constant of 4.80 is inserted between the plates, energy remains same and it be 8.09 joule now stored in the capacitor.
What is law of conservation of energy?Energy cannot be created or destroyed, says the law of conservation of energy. However, it has the ability to change its form.
The total energy of an isolated system is constant when all sources of energy are taken into account.
As the energy of 8.09 joule stored in a capacitor, which is isolated, when a material with a dielectric constant of 4.80 is inserted between the plates, energy remains same due to conservation of energy and it be 8.09 joule now stored in the capacitor.
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When running at its operating speed_ 220- dc motor with an armature whose resistance What series resistance would be requlred to Iimit the starting current to 20 A? draws current of 21.0
220-dc motor powered by a 5.3 ohm armature whose resistance is running at its operating speed the series resistance would be necessary to keep the initial current under 20 A
Distance travelled in a unit of time is referred to as speed. It is the rate of movement of an object. Speed is a scalar quantity and the velocity vector's magnitude. There is no clear direction to it. An object is travelling more quickly if its speed is higher. Slower motion is indicated by a lower speed. In simple words, we define speed or velocity as the distance travelled in a specific amount of time. If an automobile is driving faster if its speed is higher. A slow vehicle has less speed, as we say. if an object moves quickly.
Req = R + r = 2 + r
Req = V/I2 + 2 + r = 220/30 60 + 30 r = 220 30 r = 160 r = 5.3 ohm
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what are the two main observational problems with the original big bang theory of the universe
The first law of thermodynamics, which states that you cannot produce or destroy matter or energy, is broken by this. Critics assert that the big bang theory implies the universe didn't exist before the big bang.
According to a theoretical hypothesis known as the Big Bang theory, the cosmos first existed in a state of extreme density and heat. The evolution of the observable universe from the earliest known times through its later large-scale form is explained by a variety of cosmological models of the Big Bang. These models provide a thorough justification for a wide variety of known phenomena, including the abundance of light elements, cosmic microwave background (CMB) radiation, and large-scale structure. Cosmic inflation, or the abrupt and extremely rapid expansion of space during the Universe's early moments, provides an explanation for the flatness problem, or the appearance of uniformity over the whole cosmos. The initial conditions of the Big Bang, however, are not currently well modeled by any commonly accepted quantum gravity theory.
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public television station kqed in san francisco broadcasts a sinusoidal radio signal at a power of 777 kw. assume that the wave spreads out uniformly into a hemisphere above the ground.at a home 4.50 km away from the antenna, what average pressure does this wave exert on a totally reflecting surface?
The average pressure does this wave exert on a totally reflecting surface is 5.13*10^-12 pa.
As a result of the momentum transfer between the electromagnetic field and the object, the idea of radiation pressure is created. Since electromagnetic waves carry transport momentum, this force can be observed.
The mechanical pressure that is applied to any surface as a result of the electromagnetic field and the object exchanging momentum is known as radiation pressure. When photons hit the object's surface in this instance, momentum is transferred.
The composition of the surface and the level of light intensity employed determine the radiation pressure on any given surface.
Given,
power=777Kw
r=4.50 Km
According to the condition given, we get
I = Pav/ A
I = 777000 w/2π(4000m)^2
I = 7.7 *10^-3 w/m²
Average pressure is given by
PaV = 2I/c
Pav = 2* 7.7 x 10^-3/3*10^8
Pav = 5.13*10^-12 pa.
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you are given two carts, a and b. they look identical, and you are told that they are made of the same material. you place a at rest on an air track and give b a constant velocity directed to the right so that it collides elastically with a. after the collision, both carts move to the right, the velocity of b being smaller than what it was before the collision. what do you conclude? 1. cart a is hollow 2. need more information 3. cart b is hollow 4. the two carts are identical
Cart a's final momentum is greater than Cart b's final momentum, while Cart b's initial momentum is greater than Cart a's initial momentum.
The parameters provided;
m1 = the mass of the first cart
m2 = b, the mass of the second cart
u1 = 0 is the initial velocity of the first cart.
u2 is the beginning velocity of the second cart.
According to the concept of conservation of linear momentum, the sum of the initial and final momentum must be equal.
The two carts' initial momentum:
Pbi > Pai
The final momentum of the two carts;
Paf > Pbf
Use linear momentum conservation;
Pai + Pbi = Paf + Pbf
As a result, we can conclude that cart a's final momentum is greater than cart b's final momentum.
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a car is moving along a road at 32 m/s. suddenly the driver sees that the road ends and there is a cliff 65 meters ahead. he slams on the brakes and decelerates at the rate of 8 m/s^2. will he drive off the cliff?
The car will not drive off the cliff.
Motion is the phenomenon in which an object changes its position. Motion is represented in terms of displacement, distance, velocity, acceleration, speed, and time.
We know that [tex]v^{2} - u^{2} = 2aS[/tex] where,
v= final velocity
u = initial velocity
a = acceleration/deacceleration
S = distance
Given , v = 32m/s , u =0 and a = 8 m/s^2
Putting these values in above equation we get,
S = 64m
Given cliff is at a distance of 65m.
So the car will not fall off the cliff.
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In a transformer, there is a primary voltage of 70V and a secondary voltage of 210V. Which statement best describes this transformer?
It’s a step-up transformer because the secondary voltage is greater than the primary voltage.
It’s a step-up transformer because the primary voltage is greater than the secondary voltage.
It’s a step-down transformer because the secondary voltage is greater than the primary voltage.
It’s a step-down transformer because the primary voltage is greater than the secondary voltage.
The transformer having a primary voltage of 70 V and a secondary voltage of 210 V is a step-up transformer (1st option)
What is a transformer?This is a device tthat transfers electrical energy either by steping-up or steping-down voltage.
Generally, there are two main types of transformer:
Step-up transformerStep-down transformerIn step-up transformer, secondary voltage is higher than the primary voltage
In step-down transformer, primary voltage is higher than the secondary voltage
With there above information in mind, we can conclude that the correct anwer to the question is:
It’s a step-up transformer because the secondary voltage is greater than the primary voltage (1st option)
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a monochromatic light beam is incident on a barium target that has a work function of 2.50 ev. if a potential difference of 1.00 v is required to turn back all the ejected electrons, what is the wavelength of the light beam? 355 nm 497 nm 744 nm 1.42 pm none of those answers
The wavelength of the light has beam 355 nm.
What is a wavelength?
A wavelength is the measure of a wave's distance from one peak to the next. It is the physical distance between two successive wave crests or troughs, and is usually measured in meters, nanometers, or micrometers. Wavelengths are an important aspect of light, sound, and other types of waves. Wavelengths are often used to describe the properties of these waves such as their color, pitch, and intensity. Wavelengths are also related to the frequency of a wave, with shorter wavelengths associated with higher frequencies and longer wavelengths associated with lower frequencies.
The wavelength of the light beam can be calculated using the equation λ = h/eV, where h is Planck's constant, e is the charge of an electron, and V is the potential difference in volts.
For this question, the wavelength of the light beam is therefore λ = (6.626 x 10-34 Js)/(1.602 x 10-19 C x 1 V) = 4.13 x 10-7 m or 355 nm.
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a 46 g marble moving at 1.9 m/s strikes a 23 g marble at rest. assume the collision is perfectly elastic and the marbles collide head-on. part a what is the speed of the first marble immediately after the collision?
The speed of the first marble immediately after the collision (assuming it is a perfectly elastic collision) is 0.63 m/s.
In physics, an elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remain the same. In an ideal, perfectly elastic collision, there is no net conversion of kinetic energy into other forms such as heat, noise, or potential energy.
How to calculate the speed of the first marble after the perfectly elastic collision?
The formula for a perfectly elastic collision as follows :
M₁ * U₁ + M₂ * U₂ = M₁ * V₁ + M₂ * V₂
1/2 * M₁ * U₁² + 1/2 M₂ * U₂² = 1/2 M₁ * V₁² + 1/2 M₂ * V₂²
Where
M1 = mass of first marble
M2 = mass of second marble
U1 = initial speed of first marble
U2 = initial speed of second marble
V1 = speed of first marble after collision
V2 = speed of second marble after collision
From the question given :
M₁ = 46g
M₂ = 23g
U₁ = 1.9m/s
U₂ = 0m/s
V₁ = (M₁ - M₂ / M₁ + M₂) * U₁ + (2M₂ / (M₁ + M₂)) * U₂
= (46 - 23 / 46 + 23) * 1.9 + 0
= 0.63 m/s (rounded)
Therefore, the speed of the first marble after its perfectly elastic collision will be 0.63 m/s.
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a negative point charge is at the center of a hollow insulating spherical shell, which has an inner radius and an outer radius . there is a total charge of spread uniformly throughout the volume of the insulating shell, not just on the surface. what is the electric field at postion r away from the center? use as the electric constant.
The electric field at position r away from the center is E = Q / 4ε₀[tex]\pi[/tex][tex]r^{2}[/tex]
An electric field can be thought of as the electrical property associated with every point in space where charge in any form is present.
An electric field is also described as the electric force per unit charge.The electric field formula is given as; E = F/QWhere,
E is the electric field.
F is force.
Q is the charge.
The electric field is easily found using Gauss's law, which states that the total electric flux from a closed surface is equal to the enclosed charge divided by the permittivity. Mathematically, [tex]\int\limits {E} \, ds[/tex] = (1/ ε₀) * qThe magnitude of the electric field can be determined using the Coulomb force F on the test charge q.
Mathematically, E = Q / 4ε₀[tex]\pi[/tex][tex]r^{2}[/tex]If the field is created by a positive charge, the electric field will point radially outward, and if the field is created by a negative charge, the electric field will point radially inward.The electric field at position 'r' away from the center is E = Q / 4ε₀[tex]\pi[/tex][tex]r^{2}[/tex].
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In Newton's second law, F = ma, the mass m is an inertial mass. True or false?
It is True since mass m is an inertial mass.
Mass at rest. This is mostly explained by Newton's law, the all-too-famous formula F = ma, which asserts that an object will accelerate proportionately to the force F applied to it, with the mass of the object serving as the constant of proportion. In very simple terms, you may calculate the inertial mass by applying a force of F Newtons to an object, measuring the acceleration in m/s2, and then multiplying that value by the acceleration to get the inertial mass m in kilograms. It's also intriguing to note that there is no physical distinction between inertial mass and gravitational mass. The values have been verified by numerous trials, and the results have consistently agreed with the margin of error for the experiments
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Drag the tiles to the correct boxes to complete the pairs.
Drag the tiles to the correct boxes to complete the pairs.
Match the descriptions to the processes.
Ice cream starts dripping down the sides of an ice cream cone.
Fog is created by using dry ice.
Frost forms on trees on a very cold day.
The mirror gets fogged up when you breathe on it.
Your wet hair dries after a few minutes.
Liquid glass cools and hardens.
Each of the descriptions should be matched to the processes as follows;
Sublimation → Fog is created by using dry ice.
Deposition → Frost forms on trees on a very cold day.
Condensation → The mirror gets fogged up when you breathe on it.
Melting → Ice cream starts dripping down the sides of an ice cream cone.
Evaporation → Your wet hair dries after a few minutes.
Freezing → Liquid glass cools and hardens.
What is a phase change?In Science, a phase change can be defined as the change in the state (phase) of matter of a given chemical compound or substance. Additionally, some examples of a phase change include the following;
Solid to liquidLiquid to gasGas to solidLiquid to solidGenerally speaking, a change in the state (phase) of matter that results in the release of energy is known as an exothermic reaction and they include the following:
Deposition: such as when frosts are formed on a tree due to low temperatures.Condensation: such as the fog that is formed on a mirror when it is breathed upon.Freezing: such as when a liquid is converted from a liquid state to solid state.In conclusion, other processes that are associated with a change in the state (phase) of matter are sublimation, melting, and evaporation.
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what is the maximum speed vmax of the block during this motion? express your answer in terms of some of all of the variables: k , m , and a .
When the spring reaches its equilibrium length, or the point at which all the energy stored in the spring is transferred to kinetic energy, the block moves at its fastest speed. Since the object is at rest when it starts, Ki = 0. Due to a lack of friction, Wnc is equal to 0.
What is the mass's greatest oscillational speed?A mass oscillating about its equilibrium position can move at a maximum displacement of 0.2 meters and at a maximum speed of 1.2 meters per second.
What is the maximum speed rule?Currently, the top speed limit for automobiles on expressways is 120 kph, and the top speed limit for cars on national highways is 100 kph.
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what is the sequence of energy transformations from the moment the ball is dropped to the moment the board is bent to its maximum extent and the ball is at rest? (ignore any losses to thermal energy.)
The sequence of energy transformations from the moment the ball is dropped to the moment the board is bent to its maximum extent and the ball is at rest is as follows:
1. The ball has potential energy (gravitational potential energy) from being held above the board.
2. As the ball is dropped, it gains kinetic energy as it accelerates to the ground.
3. When the ball hits the board, the kinetic energy is converted into elastic potential energy as the board bends.
4. As the board continues to bend, the elastic potential energy is converted into thermal energy.
5. Finally, when the board reaches its maximum extent, the ball is at rest and its kinetic energy has been completely converted into thermal energy.
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young's double-slit experiment is performed with 575-nm light and a distance of 2.00 m between the slits and the screen. the tenth interference minimum is observed 7.10 mm from the central maximum. determine the spacing of the slits (in mm).
According to the young's double-slit experiment, the spacing of the slits is 1.54 mm.
Young's double-slit experiment uses two coherent light sources placed a short distance apart.
Usually only a few orders of magnitude larger than the wavelength of light is used. Young's double slit experiment helped to understand the wave theory of light.Wavelength of the light used = λ = 575 nm
Distance between the slits and the screen = D = 2.00 m
The minimum tenth interference = 7.10 mm
As we know the tenth minimum interference can be calculated by the formula: (19/2) (λD/d)
here 'd' is the spacing between the slits.
7.10 * [tex]10^{-3}[/tex] = (19/2) (575 * [tex]10^{-9}[/tex] * 2/d)
7.10 = (9.5) (1154 * [tex]10^{-6}[/tex] / d)
7.10 = 10963 * [tex]10^{-6}[/tex] /d
d = 1544.0 * [tex]10^{-6}[/tex] m
d = 1.54 [tex]10^{-3}[/tex] m
d = 1.54 mm
The spacing of the slits is 1.54 mm.
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find the area of the surface. the helicoid (or spiral ramp) with vector equation r(u, v) = u cos(v) i u sin(v) j v k, 0 ≤ u ≤ 1, 0 ≤ v ≤ 3.
The area of Surface = [tex]{ }^3 k \pi\left[\frac{\ln (1+\sqrt{2})+\sqrt{2}}{x}\right]=3 \pi[\ln (\sqrt{2}+1)+\sqrt{2}] \\[/tex]
What is a vector equation ?A vector equation is a linear combination of vectors with possibly unknown coefficients.
What is vector ?Vectors are defined as quantities that have both magnitude and direction. Examples include weight, acceleration, force, displacement, and velocity. Scalar quantities are those that merely have magnitude and no direction.
According to the given information
r(u, v) =[tex]\langle u \cos v, u \sin v[/tex], [tex]v\rangle \quad 0 \leqslant u \leqslant 1[/tex]
[tex]0 \leqslant v \leqslant 6 \pi \\[/tex]
[tex]& \gamma_u=\langle\cos v, \sin v, 0\rangle \\[/tex]
[tex]& r_v=\langle-u \sin v, u \cos v, 1\rangle \\[/tex]
[tex]& r_u \times r_v[/tex] = [tex]\left|\begin{array}{ccc}\hat{i}_i & \hat{j} & \hat{k} \\\cos v & \sin v & 0 \\-u \sin v & u \cos v & 1\end{array}\right| \\[/tex]
= [tex]\hat{\imath}[\sin v-0]-\hat{\jmath}[\cos v]+\hat{k}\left[u \cos ^2 v+u \sin ^2 v\right] \\[/tex]
[tex]& =\langle\sin v,-\cos v, u\rangle \\& \left\|\gamma_u \times \gamma_v\right\|=\sqrt{\sin ^2 v+\cos ^2 v+u^2}=\sqrt{1+u^2} \\[/tex]
[tex]& A_{r e}=\iint\left\|r_u \times r_v\right\| d A \\& =\int_0^1 \int_0^{6 \pi} \sqrt{1+u^2} d v d u \quad=\int_0^1 \sqrt{1+u^2} d u[v]_0^{6 \pi} \\& =6 \pi \int_0^1 \sqrt{1+u^2} d u=\frac{6 \pi}{2^2}\left[\frac{1}{2}\left(x \sqrt{1+u^2}+\ln \left(\sqrt{1+u^2}+1\right)\right]_0^1\right. \\& ={ }^3 k \pi\left[\frac{\ln (1+\sqrt{2})+\sqrt{2}}{x}\right]=3 \pi[\ln (\sqrt{2}+1)+\sqrt{2}] \\[/tex]
So
The area of Surface = [tex]{ }^3 k \pi\left[\frac{\ln (1+\sqrt{2})+\sqrt{2}}{x}\right]=3 \pi[\ln (\sqrt{2}+1)+\sqrt{2}] \\[/tex]
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a 0.60 kg ball is moving horizontally with a speed of 5.7 m/s when it strikes a vertical wall. the ball rebounds with a speed of 2.7 m/s. what is the magnitude of the change in linear momentum of the ball?
We can use the following equation to solve this problem:
Δp=m∣Vi−Vf∣(Where p is the momentum change, m is mass, Vi is initial velocity, and
Vf is final velocity)
Substitute the values given to us in the question:
Δp=(0.6)∣(5.7−(−2.7)∣
Δp=4.9 kg.m/s
Final answer: 4.9kg.m/s.
The change in momentum (Δp) is defined as the change in the mass times the velocity of an object. A force is required to change the momentum of an object. This applied force can increase or decrease momentum, or even change the orientation of an object.
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A 0.5 kg ball has a velocity of 20 m/s.
a. What is the kinetic energy of the ball?
B. How much work would be required to stop the ball
The kinetic energy of the ball is 100j
100j of work would be required to stop the ball.
What is Kinetic energy?Kinetic energy is a form of energy that an particle has by reason of it's motion.if we accelarate a object we must apply a force.
Here the mass (m) is 0.5 kg
It's velocity (v) is 20 m/s
The kinectic energy is
KE = 1/2 mv^2 = 1/2(0.5)20.20= 100 J
Again the workdone to stop it is calculated by work energy theorem
Change in KE = workdone
Or 100 J - 0 J or 100 J needed to stop the ball.
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Do you expect an echo to return to you more quickly or less quickly on a hot day, as compared to a cold day?
more quickly on a hot day
equal times on both days
more quickly on a cold day
Answer:-An echo is heard sooner on a hot day because the speed of sound in air increases with temperature. So the speed of sound in air is more on a hot day, and an echo is heard sooner. The velocity of sound in a gas is directly proportional to the square root of its absolute temperature (v=MρRT ). Since, temperature of a hot day is more than cold winter day, therefore sound would travel faster on hot summer day than on a cold winter day. A reduction in pulse-echo amplitude was observed at all temperatures in the range and was found to be proportional to temperature increase. Sound wave speed is dependent on air temperature. Sound waves move faster in warmer temperatures and slower in colder temperatures. During the day, temperatures are warmest near the surface and cool off with height. This is known as a lapse rate. Due to the high energy of atoms on a hot day, sound travels faster compared to a cold day, where atoms don't have much energy to vibrate freely. Therefore, an echo will return more quickly on a hot day than on a cold day.
Ravi uses two lenses A and B of same size and same material as shown. P1 and P2 are the powers of A and
B. An object is kept at the same distance from the lens between F and 2F of each lens on the principal axis
in turn. Let I1 and I2 be the image formed by two lenses respectively. What is the relation of image distances
of both lens ?
please help me fast
The relationship between image distances and object distances for a lens is given by the lens formula: 1/I = 1/f - 1/u, where I is the image distance, f is the focal length of the lens, and u is the object distance.
How to cause image formation in lenses?In the given scenario, the object is kept at the same distance from both lenses A and B, which is between F and 2F of each lens. The image distances I1 and I2 will be different for the two lenses because the focal lengths of the lenses are different, as represented by the different powers P1 and P2.
We can use the lens formula to find the relationship between the image distances of the two lenses.
For lens A: 1/I1 = 1/f1 - 1/u
For lens B: 1/I2 = 1/f2 - 1/u
Where f1 and f2 are the focal length of lenses A and B respectively.
As we know that the object distance is same for both lenses, we can subtract these two equations to get the relationship between I1 and I2.
1/I1 - 1/I2 = 1/f1 - 1/f2
This equation shows that the relationship between the image distances of the two lenses is determined by the difference between the focal lengths of the lenses. If the focal lengths of the lenses are equal, the image distances will also be equal. But if the focal lengths are different, the image distances will also be different.
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A camel of weight W Newtons has a load of w Newtons on its back. The camel stands on a bridge. Give the force of the bridge on the camel.
The force of the bridge on the camel is given as - (W + w) N.
What is the force of the bridge on the camel?According to Newton's third law of motion, for every force, there is an equal but oppositely-directed force.
The force of gravity acting on the camel produces a downward force that acts perpendicular to the plane of the surface of the bridge.
According to Newton's law of motion, a balancing force acts on the camel in the opposite direction of the weight of the camel. This is the force of the bridge in the camel.
The total downward force acting on the bridge = (W + w) N
The total upward force acting on the camel = - (W + w) N
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a microscope stage must have an opening. true or false please guys answer nicely i really need my answer
Indeed, a microscope stage needs to have a hole in it. There must be an aperture in the microscope stage. Only clean lenses for microscopes should be cleaned using lens tissue.
Microscope Stages: There are many different types of microscope stages, each of which is created to serve a particular function. Stages with supplementary tools for handling samples while being observed are among them. The lens is a component of the human eye's anterior portion. The iris, which sits in front of the lens and controls how much light enters the eye, controls light refraction. The lens's suspensory ligament, a ring of fibrous tissue that joins the ciliary body to the lens at its equator, holds the lens in place. The vitreous body is located behind the lens.
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the microwaves in a certain microwave oven have a wavelength of 12.2 cm. how wide must this oven be so that it will contain five antinodal planes of the electric field along its width in the standing wave pattern?
The frequency of the antinodal planes is f = 3 × [tex]10^1^1[/tex] hz
Given, the wavelength is 12.2 cm = 0.122 m
The number of antinodal planes of the given electric field considered is given to be n = 5
The width can be mathematically represented as ;
l = nλ/ 2
l = 5 X 0.122/ 2
l = 0.305 m
The frequency of the errors made is mathematically represented as:
f = c / k
λk = wavelength of the microwave
this is equal to 0.122 X 0.02/ 5/2
λk = wavelength of the microwave = 0.122 X 0.02/ 5/2
so thus f = 3 X 10^8/ 0.000976
f = 3 × [tex]10^1^1[/tex] hz
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