You are driving along the freeway at 75 mph when a bug splats on your windshield. Compare the force of the bug on the windshield to the force of the windshield on the bug.

\(\\ \tt\longmapsto Acceleration=\dfrac{v-u}{t}\)

\(\\ \tt\longmapsto Acceleration=\dfrac{25-0}{30}\)

\(\\ \tt\longmapsto Acceleration=\dfrac{25}{30}\)

\(\\ \tt\longmapsto Acceleration=0.8m/s^2\)

The velocity of the cart after 10 baseballs have been thrown at it is 5.075 m/s.

To solve this problem, apply the principle of conservation of momentum.

The initial momentum of the cart is zero since it is at rest, and the final momentum is determined by the momentum of the baseballs caught by the sail.

Since the cart catches the baseballs, the momentum of each baseball is transferred to the cart.

Given:

Mass of the cart, m_cart = 10 kg

Mass of each baseball, m_baseball = 145 grams = 0.145 kg

Velocity of each baseball, v_baseball = 35 m/s

Number of baseballs caught, n = 10

The total momentum of the system after the baseballs are caught is the sum of the momenta of the individual baseballs:

Total momentum = (mass of first baseball × velocity of first baseball) + (mass of second baseball × velocity of second baseball) + ...

Total momentum = (m_baseball × v_baseball) + (m_baseball × v_baseball) + ... (for n baseballs)

Substituting the given values:

Total momentum = (0.145 kg × 35 m/s) + (0.145 kg × 35 m/s) + ... (for 10 baseballs)

Total momentum = 10 × (0.145 kg × 35 m/s)

Now, calculate the velocity of the cart using the total momentum and the mass of the cart:

Total momentum = m_cart × v_cart

v_cart = Total momentum / m_cart

v_cart = (10 × 0.145 kg × 35 m/s) / 10 kg

v_cart = 5.075 m/s

Therefore, the velocity of the cart after 10 baseballs have been thrown at it is 5.075 m/s.

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The spaceship would have to accelerate by 3250 m/s to make a break for it at apogee. This is a faster increase than at perigee, so it is more effective to flee during perigee.

If you begin at a speed of less than 11 km/h at ground level and don't receive any additional "push," you will fall back to the earth. You cannot slow down once you begin moving at a speed greater than 11 km/h.

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Answer:

It also increases

Explanation:

The strength of the gravitational force between two objects depends on two factors, mass, and distance. the force of gravity the masses exert on each other. If one of the masses is doubled, the force of gravity between the objects is doubled. increases, the force of gravity decreases.

The 3 types of electromagnetic waves are

Radio Waves

Infrared Waves

Ultraviolet (UV) Waves

A magnetic field and an electric field vibrate together to produce electromagnetic waves, also known as EM waves. In other words, magnetic and electric fields that are oscillating make up electromagnetic waves (EM).

And we call these waves "electromagnetic" because they have magnetic fields in addition to electric fields. We also call them "waves" because they propagate outward in accordance with wave equations, just like all the other waves we've seen.

Transverse motion characterises electromagnetic waves. Magnetic and electric fields that are perpendicular to each other oscillate to form electromagnetic waves. The speed of electromagnetic waves through vacuum is the same, 3 x 10^8 m/s.

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Answer:

what is the number

Explanation:

Answer:

1cm=100m

Explanation:

2cm=?×

2cm×100

-------------

1Cm

=200m

0.03M is  the concentration of sodium hydroxide.

Here from calculation concentration of NaOH -

100×0.019/ 20 = .095 M

For acetic acid-

Volume acid used, V1= 25 ml

Concentration of acetic acid N1= ?

Volume of NaOH used, V2 = 8.99 ml

Concentration of NaOH used, N2= .095 M

From N1×V1= N2×V2

N1 = N2×V2 / V1

N1 = .095 × 8.99/25

N1 = 0.03M

concentration is the quantity of a material in a certain area. The ratio of the solute in a solution to the solvent or whole solution is another way to define concentration. In order to indicate concentration, mass per unit volume is typically used. The solute concentration can, however, alternatively be stated in moles or volumetric units. Concentration may be expressed as per unit mass rather than volume. Although concentration is often used to describe chemical solutions, it may be computed for any combination.

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Answer:

The value of acceleration due to gravity is independent of mass of the body.

Explanation:

Let us consider the mass of the object as m and mass of earth as M

Therefore, force between the object and earth would be given by: F = GMm/d²

This force is equal to the weight of the object, i.e. mg

Thus;

mg = GMm/d²

g = GM/d²

Therefore, the value of acceleration due to gravity is independent of mass of the body.

Answer:

The angle at which a projectile is launched is important because it determines the initial velocity of the projectile and the direction in which it will travel. The angle also affects the projectile's trajectory, or the path that it follows through the air. The steeper the launch angle, the higher the projectile will go and the farther it will travel horizontally. A shallower launch angle will result in a flatter trajectory that does not go as high or travel as far. Therefore, the angle at which a projectile is launched is a key factor in determining how far and how high it will go.

Explanation:

The angle is important when launching projectile motion because it in the calculation of the maximum height, range and time of flight, angle of launching  is as important as the magnitude of initial velocity.

When a particle is hurled obliquely near the surface of the earth, it travels along a curved path while accelerating continuously in the direction of the planet's center (we assume the particle stays close to the surface of the globe). Such a particle's motion is known as projectile motion, and its route is referred to as a projectile.

Two distinct rectilinear motions occur simultaneously in a projectile motion:

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Answer:

volume of a square : V=s3

White light disperses into a rainbow of different colors when it enters glass from air because of refraction. The difference in refractive indices between air and glass causes the light to bend and separate into its component colors, resulting in the formation of a spectrum.

When white light passes from air to glass, it undergoes refraction, which is the bending of light as it enters a medium with a different refractive index. The refractive index of air is 1.0003, while that of glass is 1.52. This difference in refractive indices causes the light to slow down and bend as it enters the glass.

The bending of light leads to the dispersion of white light into a rainbow of different colors. The spectrum of colors includes red, orange, yellow, green, blue, indigo, and violet. As the white light enters the glass and slows down, each color within the light spectrum bends at slightly different angles. This results in the separation of colors, with each color being refracted by a different amount.

The process of separating white light into its component colors is known as dispersion. It occurs due to the varying refractive indices of the different colors of light and the bending they undergo upon entering the glass. The colors fan out and form a spectrum as a result of this dispersion.

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Answer:

USE RUBBER CLOVES

USE A PLIER

USE CONDUCTIVE WIRES

SWITHC OFF THE MAIN SWITCH WHILE WIRRING

Explanation:

Answer:the answer is b

Explanation:

This is because in an ionic bond negative and positive bonds are present

Answer:

1,681,680 J.

Explanation:

( ´･･)ﾉ(._.`)

Answer:

a

Explanation:

Answer:

The factors of production include Land, Labour, Capital and Enterpreneurship

Explanation:

The fruit could be apple, orange , pineapple etc which are usually grown on land . They are tended to by people to ensure there is maximum yield. These people provide the required labour needed.

The cost of planting and payment of workers usually comes from the capital which is often used in running the business by the owner which makes certain decisions to ensure the fruit company is in place. All these factors work hand in hand to ensure production of fruit in a production company is possible.

The object that has potential energy is the can of gasoline.

Potential energy is described as the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors.

The forms of potential energy includes:

Potential energy is described as the energy a system has due to position, shape, or configuration.

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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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Heat energy is also called thermal energy.

Seawalls create barriers that prevent floodwaters from entering the protected area. The correct option is C.

Installing a seawall helps mitigate flood damage by creating a barrier that prevents floodwaters from entering the protected area.

Seawalls are typically constructed along coastlines or riverbanks and act as a physical barrier against incoming floodwaters.

When flood events occur, the seawall helps to block and redirect the force of the water, reducing the impact on the protected area.

By preventing floodwaters from inundating the land, seawalls help to safeguard infrastructure, homes, and communities from damage caused by flooding.

They provide a measure of protection and help to mitigate the potential risks and consequences associated with flooding events.

Thus, the correct option is C.

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Your question seems incomplete, the probable complete question is:

How does installing a seawall help mitigate flood damage?

A) Seawalls redirect floodwaters away from the protected area.

B) Seawalls absorb floodwaters to prevent overflow.

C) Seawalls create barriers that prevent floodwaters from entering the protected area.

D) Seawalls increase the capacity of nearby water bodies to hold floodwaters.

Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 69 × 2

We have the final answer as

Hope this helps you

Answer:

i don't know this one.

Explanation:

Answer:

thank you very much for giving me points.

Explanation:

I really appreciate it so muchhhhh so muchhhh thanks again

Answer:

-15.708 rad/s^2

Explanation:

First, let us covert everything to the same unit. For me, I find dealing with radians/sec more intuitive, but you can solve it in rpm. We are told that the initial angular speed is 600 rpm and after 4 seconds it stops. Let's convert 600 rpm into radians/sec. To do this, multiply by 2*pi/60. This gives 62.83 rad/s. Now let's review our info:

\(\omega_i = 600rpm = 62.83rad/s\\\omega_f = 0\\t = 4s\\\alpha = ?\)

Now we look up angular kinematics equations and the equation that has these parameters is

\(\omega=\omega_0+\alpha t\)

Substitute our values in:

\(\omega=\omega_0+\alpha t\\0=62.83\frac{rad}{s}+\alpha *(4s)\\\alpha = -15.708\frac{rad}{s^2}\)

Explanation:

Newton's first law of motion

state If a body is at rest it remain at reast and if it is in a motion it continue it's motion unless a net external force acting on it.

This law also called law of inertia

Newton's second law motion

states that acceleration to the force acting on the body and inversely proportional to the mass of the body

Newton's third law motion It is not to exert a force abody without the body exerting a forces in the opposite direction

These forces are called action and reaction force.

hope it's helpful ❤❤

THANK YOU

Answer:

No. of Molecules = 18.06 x 10²³ molecules

No. of Atoms of P = 3 atoms

No. of Atoms of Na = 9 atoms

Total No. of Atoms = 24 atoms

Explanation:

FOR NUMBER OF MOLECULES:

\(No.\ of\ Molecules = (No.\ of\ Moles)(Avigadro's\ Number)\\No.\ of\ Molecules = (3)(6.02\ x\ 10^{23}\ molecules})\\\)

No. of Molecules = 18.06 x 10²³ molecules

FOR NUMBER OF P ATOMS:

\(No.\ of\ Atoms\ of\ P = (No.\ of\ Moles)(N.\ of atoms of P)\\No.\ of\ Atoms\ of\ P = (3)(1\ atom})\)

No. of Atoms of P = 3 atoms

FOR NUMBER OF Na ATOMS:

\(No.\ of\ Atoms\ of\ Na = (No.\ of\ Moles)(N.\ of atoms of Na)\\No.\ of\ Atoms\ of\ Na = (3)(3\ atom})\)

No. of Atoms of Na = 9 atoms

FOR TOTAL NUMBER OF ATOMS:

\(Total\ No.\ of\ Atoms = (No.\ of\ Moles)(N.\ of\ atoms\ of\ Na + No.\ of\ atoms\ of\ P + No.\ of\ atoms\ of\ O)\\ Total\ No.\ of\ Atoms\ = (3)(3\ atoms + 1\ atom + 4\ atoms}) = (3)(8\ atoms)\)

Total No. of Atoms = 24 atoms