The ride's spring constant is 8625 N/m.
The Nerf gun's spring has a spring constant of 920 N/m.
How to calculate spring constant?To find the spring constant:
F = kx
where F = force applied to the spring, k = spring constant, and x = displacement of the spring.
Find the force applied to the spring, using Newton's second law:
F = ma
where m = combined mass of the Peas and their car, and a = acceleration of the car as it comes to a stop.
Since the car is initially moving at a constant velocity of 1.0 m/s, its initial acceleration is 0 m/s². Therefore, the only acceleration acting on the car is the deceleration caused by the spring.
To find the deceleration, using the equation:
v² = u² + 2as
where v = final velocity (0 m/s), u = initial velocity (1.0 m/s), a = acceleration, and s = displacement (0.20 m).
Rearranging this equation to solve for a:
a = (v² - u²) / (2s) = (0 - 1.0²) / (2 x 0.20) = -2.5 m/s²
Using Newton's second law to find the force applied to the spring:
F = ma = 690 kg × (-2.5 m/s²) = -1725 N
Finally, use the formula F = kx to solve for k:
k = F / x = -1725 N / (-0.20 m) = 8625 N/m
Therefore, the spring constant of the ride is 8625 N/m.
3) To find the spring constant, use the formula:
v = √(kx² / m)
where v = velocity of the dart, k = spring constant, x = displacement of the spring (0.04 m), and m = mass of the dart (0.92 g = 0.00092 kg).
Solving for k:
k = m v² / x² = 0.00092 kg × (16 m/s)² / (0.04 m)² = 920 N/m
Therefore, the spring constant of the spring used in the Nerf gun is 920 N/m.
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24.11 a capacitor is made from parallel plates with a plate area of .0178 m2 . the plates are placed 0.35 mm apart and filled with a dielectric material. if the capacitance of the capacitor is 1.44 x 10-9 f, what is the dielectric constant of the material?
Using the buildup of electric charges on two neighbouring surfaces that are electrically insulated from one another, a capacitor is a device that stores electrical energy in an electric field. It is an electrical passive component with two terminals. Capacitance is the measurement of a capacitor's effect.
C = ∈oA / d = (8.85 * 10⁻¹² * 0.0178) / (0.35 * 10⁻³)
= 4.5 * 10⁻¹⁰ F
Q = C*V = (4.5 * 10⁻¹⁰ * 27)
= 1.215 * 10⁻⁸ C
E = V / d = 27 / (0.35 * 10⁻³)
= 7.71 * 10⁴ N/C
An electrical energy storage device called a capacitor is made up of two conductors that are situated close to and insulated from one another. A parallel-plate capacitor serves as an easy-to-understand illustration of one such storage device.
In contrast to a battery, a capacitor is a part of a circuit that uses a potential difference created by charged particles distributed between (typically two) plates to temporarily store electrical energy. A capacitor may charge more quickly than a battery and can quickly release all of its stored energy.
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How far will you travel if you run for 30 seconds at 6m/sec?
1. A 12 kilogram block is sitting on a platform 24 m high. How much Potential energy does
it contain?
The amount of potential energy the block contains is 2,822.4 Joules
Given the following data:
Mass of block = 12 kgHeight of platform = 24 meters.We know that the acceleration due to gravity (g) of an object on planet Earth is equal to 9.8 \(m/s^2\).
To determine the amount of potential energy the block contains:
Mathematically, potential energy (P.E) is given by the formula;
\(P.E = mgh\)
Where:
m is the mass of object.g is the acceleration due to gravity.h is the height of an object.Substituting the parameters into the formula, we have;
\(P.E = 12 \times 9.8 \times 24\)
Potential energy (P.E) = 2,822.4 Joules
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A metal sphere as a charge of +2.3 x 10 ^-6 C and lies 2 meters away from another metal sphere of unknown charge.
If the attractive force present between the spheres is 0.05 N, what is the charge on the second sphere?
The charge on the second sphere is -9.6×10⁻⁶ C.
Describe Coulomb's Law.The force of attraction or repulsion between two charged things is directly proportional to the product of their charges and inversely proportional to the square of their distance, according to Coulomb's law.
Given, Q1 = +2.3 x 10⁻⁶ C
distance, r = 2m
attraction force, Fa = 0.05N
now by using Coulombs law,
Fa = k×Q1×Q2/r
0.05 = 9×10⁹×2.3 x 10⁻⁶ × Q2 /2
Q2 = 2×0.05/ 9×10⁹×2.3 x 10⁻⁶
Q2 = 9.6×10⁻⁶ C.
Since it is an attractive force therefore charges will be opposite,
The charge on the second sphere is -9.6×10⁻⁶ C.
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Queremos diseñar un montacargas que pueda subir con una rapidez de 12 km/h una mas 700 kg hasta 40 m de altura en un minuto. Calcula: a) El trabajo que realiza en ese recorrido. b) La potencia de motor que necesita. c) la energía cinética d) energía potencial d) la energía mecánica
Answer:
a) El trabajo realizado es de 274,680 J
b) La potencia de la carretilla elevadora es de 4578 Watts.
c) La energía cinética del montacargas es de 3.888.\(\overline 8\) J
d) La energía potencial del montacargas es de 274.680 Joules.
e) La energía mecánica de la carretilla elevadora 278,568.\(\overline 8\) J
Explanation:
a) Los parámetros dados son;
La velocidad de la carretilla elevadora, v = 12 km / h = 10/3 m / s
La masa que debe levantar la carretilla elevadora, m = 700 kg
La altura a la que se levantará la masa, h = 40 m
El trabajo realizado, W = Fuerza, F × Distancia, h
La fuerza, F aplicada = El peso de la carga = Masa, m × Gravedad, g
Donde 'g' es la aceleración debida a la gravedad ≈ 9,81 m / s²
∴ Trabajo realizado, W = 700 kg × 9,81 m / s² × 40 m = 274,680 J
b) El tiempo que se tarda en subir 40 m = 1 minuto = 60 segundos
∴ Potencia = Trabajo / tiempo
Por lo tanto, la potencia del montacargas, P = 274,680 J / (60 s) = 4578 Watts
c) Energía cinética, K.E. = 1/2 · m · v²
La energía cinética de la carretilla elevadora, K.E. se da como sigue;
Carretilla elevadora K.E. = 1/2 × 700 kg × (10/3 m / s) ² = 3.888.\(\overline 8\) J
d) La energía potencial del montacargas a 40 m, P.E. = m · g · h
∴ P.E. = 700 kg × 9,81 m / s² × 40 m = 274,680 Julios
e) La energía mecánica, M.E. = P.E. + K.E.
∴ M.E. = 3.888.\(\overline 8\) J + 274,680 J = 278,568.\(\overline 8\) J
La energía mecánica de la carretilla elevadora, M.E.= 278,568.\(\overline 8\) J.
a train moving at a speed of 15 m/s is accelerated to 45 m/s over a 12 s period. what is the acceleration?
Answer:
2.5 m/s²
Explanation:
Given:
v₀ = 15 m/s
v = 45 m/s
t = 12 s
Find: a
a = (v − v₀) / t
a = (45 m/s − 15 m/s) / 12 s
a = 2.5 m/s²
In the first activity, Vehicle 2 has a greater acceleration than Vehicle 1, but has a less forceful engine. How can this be? Explain in terms of your equation.
Answer:
This can be explained by the equation Force=Mass x Acceleration. Vehicle 2 has a higher acceleration than Vehicle 1, which means it accelerates quicker. However, this increased acceleration is achieved by a less forceful engine. This is possible because Vehicle 2 has a lower mass than Vehicle 1, meaning the same force applied to Vehicle 2 results in greater acceleration. Therefore, Vehicle 2 has a greater acceleration than Vehicle 1 but has a less forceful engine.
A drop
of
oil volume 10 m
Spreads out on water to make a
Circular fils of diameter 10
What is that thickness?
Answer:
\(27.5\ m\)
Explanation:
As we know that volume of cylinder is
\(v=\pi r^{2} *h\)
Where v=volume , h= height or thickness and r= radius
Here,
\(v= 10 m ,\ diameter= 10, \ r=\frac{diameter}{2} \ r=\frac{10}{2}\\ r=5\)
Putting these values in the previous equation , we get
\(10\ = \frac{22}{7} *5 *5*h\\ 14\ =\ 110*h\\h=\frac{110}{14} \\h=\frac{55}{2} \\\\h=27.5\ m\)
Therefore thickness is 27.5 m
Drag the positive or negative feedback loop on the left to each process on the right. terms may be used once, more than once, or not at all.
The order of the positive and negative feedback loops are positive, positive, negative, positive, positive, negative.
What is a feedback loop?A system component known as a feedback loop is one in which all or a portion of the output is used as input for subsequent actions. A minimum of four phases comprise each feedback loop. Input is produced in the initial phase. Input is recorded and stored in the subsequent stage. Input is examined in the third stage, and during the fourth, decisions are made using the knowledge from the examination.
Both negative and positive feedback loops are possible. Insofar as they stay within predetermined bounds, negative feedback loops are self-regulating and helpful for sustaining an ideal condition. One of the most well-known examples of a self-regulating negative feedback loop is an old-fashioned home thermostat that turns on or off a furnace using bang-bang control.
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state two factors that affect the type of Shadows formed
Answer:
The two factors that affect the type of Shadows formed are stated below ::
The distance between the source of land and the object. The angel where the ray of light falls on the object.Answer:
The distance of the source of light from the object.
The angle at which the light rays fall on the object.
The size of the opaque object.
The size of the shadow depends on the distance of the source of light and on the angle at which the light rays fall on the object.
If the source of light is closer to the object, a larger shadow is formed than when the source of light is far from the object.
Explanation:
picture is in the top ️️️⬆️⬆️⬆️⬆️⬆️
It can be observed from the above figure that as the angle of light incident on the object changed the length of the shadow changed.
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If your engine is flooded with gasoline, you should push the ____ to the floor and hold for _____. brake, 5 seconds brake, 1 minute accelerator, 1 minute accelerator, 5 seconds submit answer
You should depress the accelerator if the gasoline in your engine is flooded to the ground and maintain for five seconds.
An internal combustion engine, in particular, is a form of heat engine that is fueled by gasoline. The most popular means of propulsion for motorized vehicles are these engines. While gasoline can be used to power turbines, the term "gasoline engine" only applies to piston-driven gasoline engines.
Is a gasoline engine a diesel engine?
Diesel engines primarily use compression, whereas gasoline engines mostly use spark-fired combustion.The word "gasoline" is an American term for motor vehicle fuel. The trademark "Cazeline" or "Gazeline," which bears the last name of British publisher, coffee trader, and social activist John Cassell, is claimed to have had some impact on the phrase.Petroleum-derived combination of flammable, volatile liquid hydrocarbons used as fuel for internal combustion engines; often spelled gasolene, gas, or petrol. Additionally, it serves as a fat and oil solvent.To learn more about Gasoline engine, visit:
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Two cars leave an intersection at the same time, one heading east and the other heading south. Some time later the cars were 200 mi apart. If the car heading south travels 50 miles farther than the car going east, how far does the car heading east travel? round the answer to the nearest tenth.
If the car heading south travels 50 miles farther than the car going east, how far does the car heading east travel travels 150.0 miles, the problem can be solved by the formula d = rt.
The used equation is d = rt, The equation states that the distance traveled is equal to the rate times the time. This equation can be used to calculate the distance traveled by an object, given that the rate and time are known. In this case, the rate was the same for both cars and the time was the same for both cars, allowing us to calculate the distance traveled by a car heading east. Since we know that the car heading south traveled 50 miles farther than the car going east, we can subtract 50 miles from the total distance of 200 mi to find the distance traveled by car heading east. This gives us a value of 150 mi, which can be rounded to the nearest tenth to give us 150.0 miles.
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Suppose that the top plate of a parallel-plate capacitor has an electric potential of 0 V and the bottom plate has a potential of 500 V. There is a distance of 1.3 cm between the plates. a. What is the change in potential energy of a charge of +6 x 10-- C that is moved from the bottom plate to the top plate? b. What is the direction of the electrostatic force exerted on this charge when it is between the plates? c. What is the direction of the electric field between the plates? d. What is the magnitude of the electric field between the plates?
a. The change in potential energy is 30,000,000 Joules
b. The direction of the electrostatic force exerted on this charge is upward
c. the direction of the electric field between the plates is upward
d. The magnitude of the electric field is 38461.5
A. What is the change in potential energy?The formula is
PE = qΔv
where PE = potential energy
q = charge of 6 x 10⁴
Δv = 500
The potential energy is given as
PE = 500 x 6 x 10⁴
= 30,000,000 Joules
b. What is the direction of the electrostatic force exerted on this charge when it is between the plates?The higher potential plate (bottom) exerts force on the positive charge in the opposite direction to the lower potential plate (up). Thus, the electrostatic force acting on the charge when it is sandwiched between the plates is directed upward.
(c) The electric field is moving upward because it is moving from a higher to a lower potential.
d. E = v / d
= 500 / 0.013
= 38461.5
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The state of matter in which particles are arranged in the least organized manner is the
Answer:
gas
Explanation:
PLS MAKE ME AS BRAINLIST
Two particle (m1=0. 20kg, m2=0. 30kg) are poitioned at the end of a 2. 0-m long rod of negligible ma. What i the rotational inertia of thi rigid body about an axi perpendicular to the rod and through the center of ma?
The answer is 0.48 kg m^2
Rotational inertia of a rigid body about an axis perpendicular to the rod and through the center of ma
Given,
m1 = 0.2 kg
m2 = 0.3 kg
L = 2 m
Let the centre of mass is at a distance d from 0.2 kg.
So, m1 x d = m2 x (L - d)
0.2 x d = 0.3 x (2 - d)
2 d = 6 - 3d
5 d = 6
d = 1.2 m
Moment of inertia about the centre of mass,
I = m1 x d^2 + m2 x (L - d)^2
I = 0.2 x 1.2 x 1.2 + 0.3 x 0.8 x 0.8
I = 0.288 + 0.192
I = 0.48 kg m^2
Moment of inertia of rigid bodiesAll bodies have a tendency to resist changes to their current states, according to Newton's second law. A body in motion resists change by not coming to a complete halt right away, just as a body at rest resists change when it is put into motion. Similar to this, a rigid body's rotational inertia refers to the amount of torque necessary to modify the angular velocity of the body.
The concept of a rigid body's rotational inertia is crucial since it clarifies how much torque is needed to accomplish a certain goal. The mass of a rigid body and its distribution with regard to the axis around which it rotates have an impact on its rotational inertia.
The distance of the centre of mass from the axis of rotation increases or decreases the rotational inertia of a rigid body.
m1 x d = m2 x (L - d)
How much inertia does the rod have around a perpendicular axis?I=13mL2 I = 1 3 m L 2 is the moment of inertia for a rod that spins about an axis perpendicular to the rod and passing through one end. The moment of inertia is I=112mL2 if the axis of rotation passes through the middle of the rod.
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An object is in circular motion. The radius of its motion is 11.9 m and its period is 7 s. what is the velocity ?
Answer: An object is spun around in circular motion such that its period is 12s. is the acceleration of an object that has a velocity of 25 m/s and is moving in a circle of radius.
Explanation: I hoped that helped!
Gravitational force between two masses m, and m, is represented as F Gm₂ m₂ 7 where = xi+yj + zk and Irl=√√x² + y² + z² G,m,, m₂ are nonzero constants and let's assume that I 0 a) Calculate curl of and divergence of F (4 points) b) Show the integral ffdf is path independent and calculate following (4 points) (11) 우리가 일반물리 시간에 중력장을 이용한 포텐셜은 위치의 함수라는 걸 배운게 기억이 날겁니다. 이 문제는 사실 vector function 에 대한 문제인데 (9.10.11 단원), 우리가 배운 수학적 도구를 가지고 한번쯤 생각해볼 필요가 있어서 넣었습니다.
Gravitational force between two masses m, and m, is represented as F = Gm₂ m₂ / r^2 where r = xi+yj + zkG, m, m₂ are nonzero constants and let's assume that I = 0
a) Calculation:For F = Gm₂ m₂ / r^2.
Using r = xi+yj + zk and let r^2 = x^2 + y^2 + z^2∴ F = Gm₂ m₂ / (x^2 + y^2 + z^2), Where G, m, m₂ are nonzero constants. Divergence of F = ∇ · F= 1/r^2(d/dx(r^2Fx) + d/dy(r^2Fy) + d/dz(r^2Fz))= 1/r^2(d/dx(r^2Gm₂ m₂ x/(x^2+y^2+z^2)^(3/2)) + d/dy(r^2Gm₂ m₂ y/(x^2+y^2+z^2)^(3/2)) + d/dz(r^2Gm₂ m₂ z/(x^2+y^2+z^2)^(3/2)))= 1/r^2(d/dx(r^2Gm₂ m₂ x/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2) + d/dy(r^2Gm₂ m₂ y/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2) + d/dz(r^2Gm₂ m₂ z/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2))= 1/r^2(Gm₂ m₂ [2x(x^2+y^2+z^2)-3x^2]/(x^2+y^2+z^2)^(5/2) + Gm₂ m₂ [2y(x^2+y^2+z^2)-3y^2]/(x^2+y^2+z^2)^(5/2) + Gm₂ m₂ [2z(x^2+y^2+z^2)-3z^2]/(x^2+y^2+z^2)^(5/2))= 1/r^2(Gm₂ m₂ [(2x^2+2y^2+2z^2-3x^2)/(x^2+y^2+z^2)^(3/2)] + [2x^2+2y^2+2z^2-3y^2]/(x^2+y^2+z^2)^(3/2)] + [2x^2+2y^2+2z^2-3z^2]/(x^2+y^2+z^2)^(3/2)])= 1/r^2(Gm₂ m₂ [x^2+y^2+z^2]/(x^2+y^2+z^2)^(3/2))= 0.
Curl of F = ∇ × F= i(d/dy(Fz) - d/dz(Fy)) - j(d/dx(Fz) - d/dz(Fx)) + k(d/dx(Fy) - d/dy(Fx))= i(d/dy(Gm₂ m₂ z/(x^2+y^2+z^2)) - d/dz(Gm₂ m₂ y/(x^2+y^2+z^2))) - j(d/dx(Gm₂ m₂ z/(x^2+y^2+z^2)) - d/dz(Gm₂ m₂ x/(x^2+y^2+z^2))) + k(d/dx(Gm₂ m₂ y/(x^2+y^2+z^2)) - d/dy(Gm₂ m₂ x/(x^2+y^2+z^2)))= i(Gm₂ m₂ [-2xz]/(x^2+y^2+z^2)^(5/2)) - j(Gm₂ m₂ [-2yz]/(x^2+y^2+z^2)^(5/2)) + k(Gm₂ m₂ [(x^2+y^2-2z^2)]/(x^2+y^2+z^2)^(5/2))
b) Calculation:The line integral of F along a curve C can be evaluated by the following formula∫C F.dr = ∫∫ ( ∇ x F) ds, Where r is the position vector of the curve, s is the scalar parameter representing the curve, and the integral is evaluated from the initial point to the final point.
Using the curl of F obtained in part a) and for the surface with ∂S as C∫C F.dr = ∫∫ ( ∇ x F) ds= ∫∫ curl(F) ds= ∫∫ (-2xz i -2yz j + (x^2+y^2-2z^2)k) ds...[1]
Let's consider the surface S as a plane perpendicular to the z-axis of the form ax+by+c=0 and the curve C as the intersection of the plane and the cylinder x^2 + y^2 = a^2.
Let's choose the unit normal to the surface S as k (along the z-axis).
The curl of F is a vector field perpendicular to the plane and along the direction of k.
Thus the integral can be written as∫C F.dr = ∫∫ ( ∇ x F) . k ds= ∫∫ (x^2+y^2-2z^2) ds...[2]
Now let's evaluate the integral over the given plane ax+by+c=0. We can write x = t, y = (c-at)/b and z = 0, where t is the scalar parameter along the line of intersection of the plane and the cylinder (x^2 + y^2 = a^2).
Since the curve C is on the cylinder of radius a, we have x^2+y^2 = a^2 ⇒ t^2+(c-at)^2/b^2 = a^2On solving for t, we have t = (bc±ab √(a^2-b^2-c^2))/[a^2+b^2].
Substituting t in x and y, we get the curve C in the x-y plane as a function of the scalar parameter s asx = (bc±ab √(a^2-b^2-c^2))/[a^2+b^2]y = (c-at)/b= (c-(bc±ab √(a^2-b^2-c^2))/[a^2+b^2])/b.
Now we can evaluate the integral over the curve C, which is along the intersection of the plane and the cylinder.
Integral over C (x^2+y^2-2z^2) ds= ∫t₁^t₂ [(t^2 + [(c-at)^2]/b^2 - 2(0)^2)^(1/2)] dt= ∫t₁^t₂ [(a^2-b^2-c^2)t^2+2bc(c-at)+b^2c^2-a^2b^2]^(1/2) dt.
Now we can choose the value of t₁ and t₂ such that the square root in the integrand is minimized (so that the integral is path-independent).
This can be done by choosing the value of t that gives the minimum value of (a^2-b^2-c^2)t^2+2bc(c-at)+b^2c^2-a^2b^2 over the range of t from t₁ to t₂.
On differentiation with respect to t and equating to 0, we get the value of t = bc/(a^2+b^2).
Substituting this value of t in the integrand, we get the minimum value of the square root in the integrand to be |c| √(a^2+b^2)/|b|.
Thus the integral over C is given by∫C F.dr = ∫∫ (-2xz i -2yz j + (x^2+y^2-2z^2)k) ds= ∫∫ (x^2+y^2-2z^2) ds= ∫t₁^t₂ |c| √(a^2+b^2)/|b| dt= |c| √(a^2+b^2)/|b| (t₂-t₁).
Now we can see that the integral is path-independent as it depends only on the end points t₁ and t₂ and not on the path taken to reach them.
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What happens to the direction of an object as an unbalanced force acts on
it? Give an example
Answer:
When an unbalanced force acts on a body the side with the greater force's dircetion makes the object move along its direction
Also to find the net force acting on the bofldy you can subtract the two force acting on the body
In case of balanced force the net force will always be 0
Hello :)
Answer:
When an unbalanced force acts on an object, the side with the greater force's direction makes the object move along its direction. For example, when two cars collide on a head-on collision, both vehicles will move in the direction that the vehicle with the greater force is moving in.
On a five question multiple choice test there are five possible answers of which one is correct. If a student guesses randomly and independently what is the probability that she is correct only on two questions?
Answer:
The probability that she is correct on only two questions is 0.246
Explanation:
The probability of getting an answer correct = 1/5
The probability of getting only two questions correctly
By binomial trials, we have;
P(X = K) = \(\dbinom{n}{k}\times p^{k}\times \left (1 - p \right )^{n - k}\)
P(X = 2) = \(\dbinom{6}{2}\times \left (\dfrac{1}{5} \right )^{2}\times \left (1 - \dfrac{1}{5} \right )^{6 - 2}\)
= 15×256/15625 = 768/3125 = 0.246
Therefore, the probability that she is correct on only two questions = 0.246.
electricity costs 10p per kWh. At the start of the last month, Electricity meter reading was 5000 kWh, at the end of the month it was 5200 kWh, calculate the cost of the electricity bill last month.
answer
200
Explanation:
5000-5200=200
A driver traveling at 100\,\dfrac{\text{km}}{\text{h}}100 h km 100, start fraction, start text, k, m, end text, divided by, start text, h, end text, end fraction notices the speed limit changes to 50\,\dfrac{\text{km}}{\text{h}}50 h km 50, start fraction, start text, k, m, end text, divided by, start text, h, end text, end fraction. The driver takes 0.9\,\text{s}0.9s0, point, 9, start text, s, end text to slow down to 50\,\dfrac{\text{km}}{\text{h}}50 h km 50, start fraction, start text, k, m, end text, divided by, start text, h, end text, end fraction with constant acceleration. We want to know how many meters the driver travels while slowing down.
Answer:
67.5
Explanation:
d = (Vo+ v/2)t
d = (150/2)(0.9)
d = 67.5
Sound Vibrating objects can produce sound. Sound waves are longitudinal waves. They can travel through solids, liquids and gases.
a. True
b. False
Answer:
its false
Explanation:
because Longitudinal waves are in which particles of the medium move directio ni. parallel to the energy transport.
I think this is ur answer
If the strings have different thicknesses, which of the following parameters, if any, will be different in the two strings?.
Answer:
Wave speed and wavelength
Explanation:
I’m pretty sure it’s a,h I just need a second opinion
The vectors are said to be equal if they have same magnitude as well as same direction.
In case of C and G,
The direction of both the vectors are same but the magnitude of G is more than C.
Thus, C and G are not equal vectors.
In case of E and D,
Both the vectors have opposite direction to each other and the magnitude of D is more than E.
Thus, E and D are not equal vectors.
In case of B and C,
Both the vectors have same direction but the magnitude of C is more than the magnitude of B.
Thus, B and C are not equal vectors.
In case of A and H,
Both the vectors have same direction and both the vectors cover three boxes, thus, the magnitude of the vectors is same.
Hence, A and H are equal vectors.
what are MA and VR of a lever?
Explanation:
Mechanical advantage (MA) = Load/Effort. Velocity ratio (VR) = distance effort moves/ distance load moves in the same time
It is estimated that the human brain has a power requirement of 40W. How much energy does it use in an hour?
Explanation:
P=40w
T=1hrs
=1×60=60
Now,
P2=40×60=2400
Hence, in a hour, the brain uses 2400w
20pts
Physics wave.
Plz answer with explanation there are total 4 question
Answer:
where are the questions?
The decay energy of a short-lived particle has an uncertainty of 1.0 MeV due to its short lifetime. What is the smallest lifetime it can have?
The smallest lifetime the particle can have been 6.6 x 10^-22 seconds.
The uncertainty principle states that ΔE Δt ≥ h/4π, where ΔE is the uncertainty in energy, Δt is the uncertainty in time, and h is Planck's constant.
In this case, ΔE = 1.0 MeV. We want to find the smallest lifetime, so we can assume that Δt is equal to the lifetime, τ. Therefore:
ΔE Δt ≥ h/4π
1.0 MeV (τ) ≥ h/4π
Solving for τ, we get:
τ ≥ h/4π(1.0 MeV)
τ ≥ 6.6 x 10^-22 s
The uncertainty principle is a fundamental principle in quantum mechanics that states that certain pairs of physical properties, such as position and momentum or energy and time, cannot both be known with arbitrary precision.
To know more about uncertainty principle:
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a car takes 125 ft to brake from 60 to 0 mph. Assume that the acceleration of the Prius is constant while braking. Find how long it takes for the Prius to come to a stop. Long problems begin on the next page
Answer:
2.84 seconds
Explanation:
t = ?
distance = 125
Velocity origianal = 60 m/hr = 88 ft/s
AVERAGE velocity = 88/2 = 44 ft/s
44 t = 125
t = 125/44 = 2.84 s
when the distance between two charged objects is doubled, the force between them
Answer
As per Columbo's law force is inversely proportional to square of distance between two charges.
\(\frac{F}{F_{new}} =\frac{r_{new}^{2} }{r^{2} }\)
\(\frac{F}{F_{new}} =\frac{(2r)^{2} }{r^{2} } \\\)
\(F = 4 F_{new}\)
therefore the new force if 1/4 times the old one