While following the directions on a treasure map, a pirate walks 37.0m north and then turns and walks 8.5m east. What is the magnitude of his resultant displacement?

A.) 38m
B.) 45.5m
C.) 28.5m

93.75% of a material decays at the end of [tex]4^{th}[/tex] half-life.

Explanation:

            The time needed by a material to reduce its initial amount into half is called half-life. It is generally used term in nuclear physics. This is to explain how fast unstable atom undergoes, or how long can stable atoms present, and radioactive decay.  

            Decay % of material after each half-life to be calculated as follows,  

After one half-life- 50% original, and 50% product decayed.  

After two half-life- 25% original, and 75% product decayed.  

After three half-lives- 12.5% of original, and 87.5% of decay product.  

After four half-lives- 6.25% original, and 93.75% of decay product.  

Answer:

15/16

Explanation:

Answer: C) Its acceleration is decreasing in magnitude as the car slows down.

Explanation:

According to the described situation the car's final velocity is less than its initial velocity, this means the car's velocity decreased as it slows down.

On the other hand, acceleration [tex]a[/tex] is defined as the variation of velocity in time:

[tex]a=\frac{\Delta V}{\Delta t}[/tex]  

If the car's velocity decreases, its acceleration is negative.  Hence, the acceleration is decreasing in magnitude as well.

In the context of a car slowing down while traveling east, its acceleration must be in the -x direction (towards the west) which means its acceleration is in the opposite direction of its motion, hence option A is correct.

The question concerns the acceleration of a car traveling east (considered the +x direction) as it begins to slow down when approaching a traffic light. According to the principles of physics, when an object is slowing down, its acceleration is in the opposite direction of its motion. Since the car is moving to the east and slowing down, its acceleration must be towards the west, which is the -x direction in our coordinate system. Therefore, its acceleration is in the -x direction, making the correct answer to the question Option A.

To further clarify, when a car traveling in a positive direction (to the east in this case) decelerates or slows down, it undergoes negative acceleration because the deceleration is opposite to the direction of its velocity. Hence, in the context of our coordinate system where the east is positive, the westward acceleration (slowing down) is considered negative.

Answer:

a. expression for force of gravity is mg

b. Value of force of gravity is 58.86 N

c. Direction of force of gravity is downwards

d. Value of normal force is -58.86 N

e. direction of normal force is upwards.

Explanation:

Given that mass of the block [tex]m=6 kg[/tex]

acceleration due to gravity [tex]g=9.81 m/s^2[/tex]

a. Expression for force of gravity is [tex]F_g=m\times g[/tex]

b.  [tex]F_g=mg=6 \times 9.81=58.86 N[/tex]

force of gravity is [tex]58.86 N[/tex]

c. Force of gravity always acts in the downward direction.

d. Normal force[tex]F_N[/tex]  acts in the direction opposite to the weight of the block and their magnitudes are same. since the object is at  rest the upward and downward forces on the block are balanced.

[tex]F_N=-F_g=-58.86 N[/tex]

e. Normal force [tex]F_N[/tex]acts in the upwards.

The force of gravity on a 6 kg block is 58.86 N, acting downwards, while the normal force is 58.86 N, acting upwards, since the block is stationary on a horizontal surface.

Forces Acting on a Stationary Block

a. The expression for the magnitude of the force of gravity Fg on the block is given by Newton's second law of motion: Fg = m × g where m is the mass of the object and g is the acceleration due to gravity.

b. To calculate Fg, simply multiply the mass m by the acceleration due to gravity g: Fg = 6 kg × 9.81 m/s² which equals 58.86 N.

c. In this problem, the direction of the force of gravity is vertically downwards, towards the center of the Earth.

d. The magnitude of the normal force FN on the block is equal to the force of gravity acting on the block when it is stationary on a horizontal surface, therefore FN = 58.86 N.

e. The normal force acts in a direction perpendicular to the surface, which in this case is vertically upwards.

Answer:

The correct answer would be downwards

Hope this helps have a good day

Final answer:

The gravitational force on a box being pulled to the right is downward towards the Earth's center.

Explanation:

The direction of the gravitational force on a box being pulled to the right is downward towards the Earth's center. This is because gravitational force is a vector that points downwards, regardless of any horizontal movement or force applied to an object. The gravitational force can be calculated using the equation F = mg, where F is the gravitational force, m is the mass of the object, and g is the acceleration due to gravity, which is approximately 9.81 m/s² near the Earth's surface. Therefore, even when the box moves to the right, the gravitational force only acts downward.

Answer:

Make a graph that represents exotic pet ownership in the United States. There are 8,000,000 fish, 1,500,000 rabbits, 1,300,000 turtles, 1,000,000 poultry and 900,000 hamsters.

Explanation:

The biggest difference is that bar graphs are more versatile while line graphs are better for showing trends over time or another measure with a logical progression of values (such as distance from a given point). Bar graphs can also show frequency distributions (how often you observe different outcomes) much more effectively than line graphs.

Line charts should be used only for time series (chronological) or when there is some other sequence to the dimensions on the x-axis, e.g. dates, months, sequence of stages of a project, sequence of meters along on a gas pipeline, and they should be used to detect trends and patterns, not to give people exact quantitative readings.

Bar charts should be used for comparing specific x-axis values, though they can certainly be used for time series, like line charts. They can also be used to display parts of a whole in favor of pie charts, in which case, the space between the bars should be reduced.

Answer:

5.3 m/s

Explanation:

First, find the time it takes for him to fall 7m.

y = y₀ + v₀ t + ½ at²

0 = 7 + (0) t + ½ (-9.8) t²

0 = 7 − 4.9 t²

t ≈ 1.20 s

Now find the velocity he needs to travel 6.3m in that time.

x = x₀ + v₀ t + ½ at²

6.3 = 0 + v₀ (1.20) + ½ (0) (1.20)²

v₀ ≈ 5.27 m/s

Rounded to two significant figures, the man must run with a speed of 5.3 m/s.

Explanation:

Newton's first law says that an object at rest stays at rest, and an object in motion stays in motion, until acted upon by an unbalanced force.

If there's no unbalanced force, then an object at rest will stay at rest.

Answer:

"mono" and "atomic" means single atom this term is used in both physics and chemistry and it applied to the gasses as a monatomic gas

Answer and Explanation:

Good Day mate!

A monatomic molecule is that some of the elements do not have a tendency to form a molecule. Which means, the molecule of an element is made up of only one atom.  Thus, there are called as Monatomic molecule.

Some common examples of monatomic molecules :

1. Helium (He)

2. Neon (Ne)

3. Argon (Ar)

4. Xenon (Xe)

The force tending to lift the load (vertical force) is equal to 22.5N.

Why?

Since the boy is pulling a load (150N) with a string inclined at an angle of 30° to the horizontal, the total force will have two components (horizontal and vertical component), but we need to consider the given information about the tension of the string which is equal to 105N.

We can calculate the vertical force using the following formula:

[tex]VerticalForce=Force*Sin(30\° )=(BoysForce-StringForce)*\frac{1}{2}\\\\VerticalForce=(150N-105N)*\frac{1}{2}=VerticalForce=45N*\frac{1}{2}=22.5N[/tex]

Hence, we can see that the force tending to lift the load off the ground (vertical force) is equal to 22.5N.

Have a nice day!

Answer:

It will take 1 hour for a car to cover a displacement of 750 km at a constant speed of 100 km / hr.

Explanation:

Velocity ​​is associated with the change of position of a body over time. In other words, speed expresses the relationship between the space traveled by an object, the time taken for it and its direction.

That is, speed implies the change of position of an object in space within a certain amount of time (that is, speed), added to the direction in which said movement occurs.

Then, 100 km / hr is the speed of the car and indicates that every hour the car travels 100  kilometres.

Then it is possible to apply a rule of three to calculate the time it takes for the car to travel 750 km. The three employee rule is: if 100 km are traveled in 1 hour, 750 km in how long is it traveled?

[tex]time=\frac{750 km*1hour}{100 km}[/tex]

time=7.5 hour

It will take 1 hour for a car to cover a displacement of 750 km at a constant speed of 100 km / hr.

Answer:

The diameter is 0.000056 m

Explanation:

Lets explain the relation between the meter and the micrometer

1 Meter is equal to 1000000 (one million) micrometers

1 micrometer = [tex]\frac{1}{1000000}=\frac{1}{10^{6}}=10^{-6}[/tex]

The symbol of the meter is m

The symbol of micrometer is μm

A human hair is approximately 56 µm in diameter

We need to express this diameter in meter

To do that we divide this number by 1,000,000 or multiply it by [tex]10^{-6}[/tex]

→ [tex]\frac{56}{1000000}=0.000056[/tex]  56 µm = 0.000056 m

→ OR

→ [tex]56*10^{-6}=0.000056[/tex]

→ 56 µm = 0.000056 m

The diameter is 0.000056 m

Answer:false

Explanation:

The total number of the neutrons in a atom is the difference of mass number of the atom and its atomic number.

The number of neutrons is not equal to the atomic number. Thus the given statement is false.

Atom is the smallest unit of the matter consist the positive charged nucleus and the electrons which moves around it. The atom can not be divided further.

The atom of a matter is made by three elements-

The relation between the atomic number and neutrons-

The total number of the neutrons in a atom is the difference of mass number of the atom and its atomic number.

Thus total number of the neutrons in a atom is,

[tex]N=M-n[/tex]

Here, [tex]M[/tex] is the mass number of the atom and [tex]n[/tex] is the atomic number of it.

Thus, the number of neutrons is not equal to the atomic number. Thus the given statement is false.

Learn more about the atomic number here;

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It affects the colors of the sky at sunrise and sunset because only the longer-wavelengths colors are visible.

Answer:

You need to Bump the volleyball

hope it helps :)

It is difficult to identify a specific object with a net force of -68 without more detailed context. However, we can understand that net force is the vector sum of all forces acting on an object, and it is calculated using Newton's Second Law of Motion: F = ma.

The question is about identifying an object with a net force of -68. A net force is the vector sum of all forces acting upon an object. In physics, negative force usually indicates that the force is acting in the opposite direction of the positive axis of a graph. It is challenging to precisely identify the object with a net force of -68 from the given information; we would need more detailed context such as the direction the force is applied or the object's mass. However, the principle of net force can be described using Newton's Second Law of Motion, which states F = ma where F is the net force, m is the mass, and a is the acceleration.

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The object with a net force of -68 N can be determined by considering the vector sum of the forces acting on it. In this case, the net force is approximately 73.76 N and directed at an angle of about 59.9 degrees below the negative x-axis.

The object with a net force of -68 N can be determined by considering the forces acting on it.

A free-body diagram shows a northward force of 64 N and a westward force of 38 N.

The net force is the vector sum of the two forces, which can be found using the Pythagorean theorem.

In this case, the net force is approximately 73.76 N and directed at an angle of about 59.9 degrees below the negative x-axis.

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Answer: 7071.067 Joules

Explanation:

The Work [tex]W[/tex] done by a Force [tex]F[/tex] refers to the release of potential energy from a body that is moved by the application of that force to overcome a resistance along a path [tex]d[/tex].  

It should be noted that it is a scalar, and its unit in the International System of Units is the Joule (like energy). Therefore, 1 Joule is the work done by a force of 1 Newton when moving an object, in the direction of the force, along 1 meter:  

[tex]1J=(1N)(1m)=Nm[/tex]  

Now, when the applied force is constant and the direction of the force and the direction of the movement are parallel, the equation to calculate it is:  

[tex]W=(F)(d)[/tex] (1)

When they are not parallel, both directions form an angle, let's call it [tex]\alpha[/tex]. In that case the expression to calculate the Work is:  

[tex]W=Fdcos{\alpha}[/tex] (2)

In this case the force and the distance in the path form an angle [tex]\alpha=45\°[/tex], so we will use the second equation, where [tex]F=400N[/tex] and [tex]d=25 m[/tex]:

[tex]W=(400 N)(25 m) cos(45\°)[/tex] (3)

Then:

[tex]W=7071.067 Nm=7071.067 J[/tex]

The work done by the sailor to pull the boat 25 meters with a force of 400 newtons at a 45-degree angle to the dock is approximately 7,071 Joules.

The amount of work done by the sailor on the boat can be calculated by using the formula for work done by a force at an angle, which is W = F  imes d  imes  ext{cos}( heta). In this case, the force (F) is 400 newtons, the distance (d) is 25 meters, and the angle ( heta) is 45 degrees.

First, we calculate the cosine of the angle, which in this case is  ext{cos}(45^{ ext{o}}) =  rac{ ext{ extsqrt{2}}}{2}.

Then, we multiply the force, distance, and cosine of the angle: W = 400 N  imes 25 m  imes  rac{ ext{ extsqrt{2}}}{2}.

Therefore, the work done by the sailor is 400  imes 25  imes  rac{ ext{ extsqrt{2}}}{2}, which equals 7,071 Joules approximately.

Answer: D. the distance between the highest points of consecutive waves

Explanation:

The wavelength of a wave is defined as the distance traveled by a periodic perturbation that propagates through a medium in a given time interval. It is usually represented by [tex]\lambda[/tex] and can be calculated if the frequency of the wave is known, since there is an inverse relationship between both.

In the specific case of a periodic sine wave (which is the way in which a wave is usually represented graphically) the wavelength can be determined as the distance between two consecutive maxima of the disturbance.

Therefore, the correct option is D.

Answer:

Explanation:

D. the distance between the highest points of consecutive waves

Answer:

r ≥ R, E = Q / (4πR²ε₀)

r ≤ R, E = 12Q (⅓ (r/R)³ − ¼ (r/R)⁴) / (4πr²ε₀)

Maximum at r = ⅔ R

Maximum field of E = Q / (3πε₀R²)

Explanation:

Gauss's law states:

∮E·dA = Q/ε₀

What that means is, if you have electric field vectors E passing through areas dA, the sum of those E vector components perpendicular to the dA areas is equal to the total charge Q divided by the permittivity of space, ε₀.

a) r ≥ R

Here, we're looking at the charge contained by the entire sphere.  The surface area of the sphere is 4πR², and the charge it contains is Q.  Therefore:

E(4πR²) = Q/ε₀

E = Q / (4πR²ε₀)

b) r ≤ R

This time, we're looking at the charge contained by part of the sphere.

Imagine the sphere is actually an infinite number of shells, like Russian nesting dolls.  For any shell of radius r, the charge it contains is:

dq = ρ dV

dq = ρ (4πr²) dr

The total charge contained by the shells from 0 to r is:

q = ∫ dq

q = ∫₀ʳ ρ (4πr²) dr

q = ∫₀ʳ ρ₀ (1 − r/R) (4πr²) dr

q = 4πρ₀ ∫₀ʳ (1 − r/R) (r²) dr

q = 4πρ₀ ∫₀ʳ (r² − r³/R) dr

q = 4πρ₀ (⅓ r³ − ¼ r⁴/R) |₀ʳ

q = 4πρ₀ (⅓ r³ − ¼ r⁴/R)

Since ρ₀ = 3Q/(πR³):

q = 4π (3Q/(πR³)) (⅓ r³ − ¼ r⁴/R)

q = 12Q (⅓ (r/R)³ − ¼ (r/R)⁴)

Therefore:

E(4πr²) = 12Q (⅓ (r/R)³ − ¼ (r/R)⁴) / ε₀

E = 12Q (⅓ (r/R)³ − ¼ (r/R)⁴) / (4πr²ε₀)

When E is a maximum, dE/dr is 0.

First, simplify E:

E = 12Q (⅓ (r/R)³ − ¼ (r/R)⁴) / (4πr²ε₀)

E = Q (4 (r³/R³) − 3 (r⁴/R⁴)) / (4πr²ε₀)

E = Q (4 (r/R³) − 3 (r²/R⁴)) / (4πε₀)

Take derivative and set to 0:

dE/dr = Q (4/R³ − 6r/R⁴) / (4πε₀)

0 = Q (4/R³ − 6r/R⁴) / (4πε₀)

0 = 4/R³ − 6r/R⁴

0 = 4R − 6r

r = ⅔R

Evaluating E at r = ⅔R:

E = Q (4 (⅔R / R³) − 3 (⁴/₉R² / R⁴)) / (4πε₀)

E = Q (8 / (3R²) − 4 / (3R²)) / (4πε₀)

E = Q (4 / (3R²)) / (4πε₀)

E = Q (1 / (3R²)) / (πε₀)

E = Q / (3πε₀R²)

For question 1:

For the region [tex]r \geq R[/tex], an expression for the electric field can be calculated by using the  Gauss law:

Use gauss law of electrostatics, the charge electric flux through the Gaussian surface is,

[tex]\int \vec{E} \cdot d\vec{A}=\frac{q_{enc}}{\varepsilon_{0} }\\\\E(4\pi r^2)=\frac{Q}{\varepsilon_0}\ \ \ \ \ \ \ \ \ \ \ \ \ (Since\ \ q_{enc}=Q )[/tex]

Here, Q is the enclosed charge and [tex]\varepsilon_0[/tex] , is the permeability.

[tex]E=\frac{1}{4\pi \varepsilon_0 } \frac{Q}{r^2}[/tex]

Therefore, the required electric field is [tex]\frac{Q}{4\pi\varepsilon_0 r^2 }[/tex]

For question 2:

For Gaussian sphere of radius [tex]r \leq R[/tex], the charge enclosed within a spherical shell is,

[tex]dq =\rho_0(1-\frac{r}{R}) 4\pi r^2 dr[/tex]

Hence, the total charge enclosed with in the radius r is as follows,  

[tex]q_{enc}=\int^{r}_{0} \rho_{0} (1-\frac{r}{R}) 4\pi r^2 \ dr\\\\[/tex]

       [tex]=4\pi \rho_0 |\frac{r^3}{3}-\frac{r^4}{4R}|^4_{0}\\\\=\frac{12 Q}{R^3}(\frac{r^3}{3}-\frac{r^3}{4R})\\\\=\frac{Qr^3}{R^3}(4-\frac{3r}{R})\\\\[/tex]

Use Gauss's law for the Gaussian sphere of radius r,

[tex]\int \vec{E}\cdot dA=\frac{q_{enc}}{\varepsilon_0}\\\\E(4\pi r^2)=\frac{Qr^3}{\varepsilon_0 R^3}(4-\frac{3r}{R})\\\\E=\frac{Qr}{4\pi \varepsilon_0 R^3}(4-\frac{3r}{R})\\\\[/tex]

Therefore, the required electric field at [tex]r\leq R[/tex] is [tex]\frac{Qr}{4\pi \varepsilon_0 R^3}(4-\frac{3r}{R})\\\\[/tex]

For question 3:

The change in electric filed with respect to distance is zero when the electric field has a  maximum value.

[tex]\frac{dE}{dr}= 0\\\\\frac{d(\frac{Qr}{4\pi \varepsilon_0 R^3}(4-\frac{3r}{R}))}{dr}=0\\\\(\frac{Q}{4\pi \varepsilon_0 R^3})\frac{d(4r-\frac{3r^2}{R})}{dr}=0\\\\[/tex]

Here, [tex](\frac{Q}{4\pi \varepsilon_0 R^3})[/tex] is not equal to zero. Hence,

[tex]\frac{d(4r-\frac{3r^2}{R})}{dr}=0\\\\4-\frac{6r}{R}=0\\\\r=\frac{4R}{6}=\frac{2R}{3}[/tex]

Therefore, the required value of [tex]r \ \ is\ \ \frac{2R}{3}\\\\[/tex]

For question 4:

Maximum value of the electric filed is as follows

[tex]E= \frac{Q}{4\pi \varepsilon_0 R^3} (4-\frac{3r}{R})\\\\[/tex]

   [tex]= \frac{Q(\frac{2R}{3})}{4\pi \varepsilon_0 R^3} (4- \frac{3(\frac{2R}{3})}{R})\\\\=\frac{Q}{3 \pi \varepsilon_0 R^2}[/tex]

Therefore, the required maximum value of the electric field is [tex]\frac{Q}{3 \pi \varepsilon_0 R^2}[/tex]

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Answer:

Acceleration of Object A = 0.6 m/s²

Acceleration of Object B = 0.3 m/s²

Acceleration of Object A is double than the acceleration of Object B.

Explanation:

According to the Newton's 2nd law of motion, Acceleration of an object by a net force is directly proportional to the magnitude of that net force and in the direction of that net force and inversely proportional to the mass of the object

Mathematically

                   F ∝ a

                   F = ma

Given data:

                 F = 15 N

                 m₁ = 25 kg

                 m₂ = 50 kg

                 F = m₁a₁

                 a₁ = F/m₁

                 a₁ = 15/25

                 a₁ = 0.6 m/s²

                 F = m₂a₂

                 a₂ = F/m₂

                 a₂ = 15/50

                 a₂ = 0.3 m/s²

It can be seen that acceleration of Object A is double than the acceleration of Object B.

Answer:

20.4

Explanation:

Given:

y₀ = 0 m

v₀ = 20.0 m/s

v = 0 m/s

a = -9.80 m/s²

Find: y

v² = v₀² + 2a (y − y₀)

(0 m/s)² = (20.0 m/s)² + 2 (-9.80 m/s²) (y − 0 m)

y = 20.4 m

Answer:

Pure water won’t  conduct electricity

Option A

Explanation:

Pure water doesn’t contain salts or impurities. It is the salts that dissociate to form ions that act as charge carriers in conducting solutions. For a medium to conduct electricity it should have carriers to carry the electrical charge.

Thus absence of charge carriers make pure water non conducting. Charge carriers in metals are electrons and in ionic solutions they are positive and negative ions.

Tap water, aquarium water and ocean water contains dissolved electrolytes. When electricity is passed through them the electrolytes dissociates into ions and these ions conduct electricity.

Answer:

pure water. plz vote brainliest

Explanation:

Answer:

The total distance traveled by Zak is 250 m and total displacement is

70 m

Explanation:

Distance is a scalar quantity that represents how much ground an

object has covered during its motion

Displacement is a vector quantity that represents how far out of place

an object is, means the change in its position

Displacement = final position - initial position

The straight track is 100 m

Zak runs to the 80 m mark

That means he runs forward from zero to 80

Then his distance = 80 m

His displacement = + 80 m

He then runs back to the 20 m

That means that he runs back from 80 m to 20 m

Then his distance = 80 - 20 = 60 m

His displacement = 20 - 80 = -60 m

He then runs to the 100 m mark

That means he runs forward from 20 m to 100 m

Then his distance = 100 - 20 = 80 m

His displacement = 100 - 20 = + 80 m

Finally he runs to the 70 m mark

That means he runs back from 100 m to 70 m

Then his distance = 100 - 70 = 30 m

His displacement = 70 - 100 = - 30 m

His total distance is the sum of all distances he runs

The total distance = 80 + 60 + 80 + 30 = 250 m

His total displacements is the sum of all displacements he runs

The total displacement = (+80) + (-60) + (+80) + (-30) = + 70 m

The total distance traveled by Zak is 250 m and total displacement is

70 m

Answer:

2088 J

Explanation:

Work = net force × distance

When the box is being pushed across the floor, the force is 50 N, and the distance is 30 m.

W = (50 N) (30 m)

W = 1500 J

When the box is being lifted, the force is the weight of the box (10 kg × 9.8 m/s²), and the distance is 6 m.

W = (98 N) (6 m)

W = 588 J

So the total work done is:

W = 1500 J + 588 J

W = 2088 J

Answer:

a bar graph would be the kind of graph that you should use for this problem because it would be easier to read and also do

Explanation

A Pie Chart is the best type of graph to represent the results of this survey, as it visually expresses each commuting mode as a portion of the total survey responses.

The type of graph that would present this data most clearly is a Pie Chart. The Pie Chart would provide a visual representation of each commuting method as a proportion of the total survey responses. For instance, the section corresponding to bus riders would be rather large, as 75 out of 144 individuals, or approximately 52% of the participants, use the bus. In contrast, the segment for individuals who walk would be smaller, as 9 out of 144 or about 6% of respondents walk to work. As such, a Pie Chart offers a visual distribution of responses, making it easy to compare different categories.

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Answer:

Pressure is a force exerted by the substance per unit area on another substance. The pressure of a gas is the force that the gas exerts on the walls of its container. When you blow air into a balloon, the balloon expands because the pressure of air molecules is greater on the inside of the balloon than the outside.xplanation:

Answer:

Pressure is a force exerted by the substance per unit area on another substance. The pressure of a gas is the force that the gas exerts on the walls of its container. When you blow air into a balloon, the balloon expands because the pressure of air molecules is greater on the inside of the balloon than the outside.

Explanation:

Answer:cerebral cortex

Explanation:

Answer:

Cerebral Cortex

Explanation:

The cerebral cortex has a left and a right hemisphere. Each hemisphere can be divided into four lobes: the frontal lobe, temporal lobe, occipital lobe, and parietal lobe. The lobes are functional segments. They specialize in various areas of thought and memory, of planning and decision making, and of speech and sense perception.

Answer:gravity

Explanation:

Gravity is the force that causes a baseball to accelerate downward when thrown, resulting in a constant negative vertical acceleration that contributes to the ball's parabolic trajectory.

The force that causes a baseball to accelerate downward when thrown is gravity. Despite the ball traveling horizontally away from the pitcher, gravity acts downwards upon the ball from the moment it leaves the pitcher's hand until it contacts the ground. This creates a parabolic trajectory, characterized by a vertical acceleration that is constant over time, as indicated by the ball's motion being split into two perpendicular components: horizontal motion due to the initial throw, and vertical motion due to the force of gravity.

The graph of the ball's vertical acceleration versus time would show a negative value that remains constant, representing the unchanging acceleration due to gravity in the downward direction, which is typically approximately -9.8 m/s2 near Earth's surface. This downward acceleration is independent of the ball's horizontal velocity.

Answer:

0.73 s

Explanation:

The glass is in free fall, so its vertical position at time t is given by the equation:

[tex]y(t) = h + ut + \frac{1}{2}gt^2[/tex]

where

h = 2.6 m is the initial height

u = 0 is the initial velocity of the glass

[tex]g=-9.8 m/s^2[/tex] is the acceleration of gravity (downward since it is negative)

We want to know the time t at which the glass reaches the ground, so when

y(t) = 0

So the equation becomes

[tex]0 = h + \frac{1}{2}gt^2[/tex]

And solving for t, we find

[tex]t=\sqrt{\frac{-2h}{g}}=\sqrt{\frac{-2(2.6)}{-9.8}}=0.73 s[/tex]

Answer:

0.73 sec

Explanation:

formula:X=ViT+(0.5)AT^2

2.6=(0)T+(0.5)(9.8)T^2

cancel:(0)T

2.6=(0.5)(9.8)T^2

take 0.5 to other side and divide with 2.6

5.2=(9.8)T^2

now do the same with 9.8

0.530612 and square root it because u can't leave the T^2

you'll get t=0.73 s