a rocket accelerates vertically upward from rest with acceleration a. after 4.0 s, a small object falls from the rocket. the object strikes the ground 6.0 s later. determine the acceleration of the rocket in terms of g.

r - Radius

h - Height

1. Area of a circle = π×r²

2. Circumference of a circle = 2×π×r

3. Volume of a cylinder = π×r²×h

A region's size on a plane or curved surface is expressed by the term "area," which is a mathematical concept. As opposed to surface area, which refers to the area of an open surface or the boundary of a three-dimensional object, plane region or plane area refers to the area of a form or planar lamina.

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter.

A cylinder is one of the most basic curvilinear geometric shapes and has traditionally been a solid in three dimensions. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

To know more about geometrical shapes, click on the link below:

https://brainly.com/question/26741034

#SPJ9

Answer:

see below

Explanation:

18.5 m in .46 sec  =  18.5 /.46 m/s  = 40.2 m/s

The period of a satellite orbiting mercury 265,000 m above its surface is 100 minutes if the radius of the planet mercury is 2.43*10^6m and its mass is 3.2*10^23 kg.

v = √ G M / r

r = R + d

v = Orbital velocity

G = Gravitational constant

M = Mass of planet

r = Radius of the orbit

R = Radius of planet ( mercury )

d = Distance from surface to satellite

m = 3.2 * [tex]10^{23}[/tex] kg

R = 2.43 * [tex]10^{6}[/tex] m

d = 265000 m

G = 6.67 * [tex]10^{-11}[/tex] N m² / kg²

r = R + d

r = 2.43 * [tex]10^{6}[/tex] + 265000

r = 2.695 * [tex]10^{6}[/tex] m

v = √ ( 6.67 * [tex]10^{-11}[/tex] * 3.2 * [tex]10^{23}[/tex] ) / 2.695 * [tex]10^{6}[/tex]

v = √ 7.92 * [tex]10^{6}[/tex]

v = 2.81 * 10³ m / s

v = 2.81 km / s

v = 2 π r / T

T = Time period

T = 2 * 3.14 * 2.695 * [tex]10^{6}[/tex] / 2.81 * 10³

T = 6.02 * 10³ s

T = 100 minutes

Therefore, the period of a satellite orbiting mercury is 100 minutes

To know more about orbital period

https://brainly.com/question/14494804

#SPJ1

The center of mass exists a position defined relative to an object or system of objects.

The proper significant figures and proper rounding of digits exists 2.603 m.

The unique location where the weighted relative position of the scattered mass adds to zero is known as the center of mass in physics. Here is where a force can be applied to produce a linear acceleration without also producing an angular acceleration.

A position established in relation to an object or set of objects is the center of mass. It represents the system's average location as weighted by each component's mass. The center of mass for straightforward stiff objects with homogeneous density is found at the centroid.

Given:

Mass of car, m = 1150 kg

Distance, d = 2.35 m

The new position of center of mass will be:

[tex]$=\frac{1150 \times 2.35+160 \times 2.7+240 \times 3.75}{240+260+1150} \\[/tex]

simplifying the above equation, we get

= (2702.5 + 432 + 900) / 1650

= 4034.5 / 1650

= 2.603 m

Therefore, the proper significant figures and proper rounding of digits exists 2.603 m.

The complete question is:

The CM of an empty 1150 kg car is 2.35 m behind the front of the car. How far from the front of the car will the CM be when two people sit in the front seat 2.70 m from the front of the car, and three people sit in the back seat 3.75 m from the front? Assume that each person has a mass of 80.0 kg.

express answers in proper significant figures and proper rounding of digits.

To learn more about center of mass refer to:

https://brainly.com/question/17088562

#SPJ4

The speed of the stone at the bottom of the circle is 4.85 ms⁻¹.

Speed is the time fee at which an object is moving alongside a course, even as the pace is the charge and path of an object's movement. The rate of speed of the function of an object in any course.

velocity is measured because of the ratio of distance to the time in which the space became blanketed. the pace is a scalar amount because it has the most effective route and no magnitude. Speed is the time fee at which an object is moving alongside a path, while the pace is the fee and direction of an item's motion. put another way, the pace is a scalar value, whilst pace is a vector.

At the bottom position,

T - mg = Fc = mv²/r

∴ (T - mg/m)r = v²

V² = (3mg - mg ) r/ m = 2mgr/m

v = [tex]\sqrt{2gr}[/tex]

   = 4.85 ms⁻¹

Learn more about speed here:-https://brainly.com/question/4931057

#SPJ4

By measuring the recession velocities and therefore the distant galaxies and noticing that these parameters are intimately related to time. Option A.

Find the oldest stars, measure the expansion rate of the universe, and extrapolate back to the large Bang. a bit like a detective can trace the origin of a sphere through a hole in the wall.

Current measurements put the world at about 4.54 billion years old and therefore the universe at About 13.8 billion years. Scientists measure the dimensions of the universe in a myriad of different ways. they will measure ripples from the early universe known as baryonic acoustic oscillations that fill the cosmic microwave background. you'll also use a standard candle, like a Type 1A supernova, to live within distance.

Learn more about The universe here:-https://brainly.com/question/805395

#SPJ4

The truth that Voyager maintains to hurry out of the sun system, despite the fact that its rockets haven't any fuel, is an instance of Newton's first regulation(law) of movement.

Newton's first regulation states that each item will continue to be at relaxation or in uniform movement in a immediately line except pressured to extrude its kingdom via way of means of the movement of an outside force. This tendency to withstand modifications in a kingdom of movement is inertia. The 3 legal guidelines of movement have been first said via way of means of Isaac Newton in his Philosophie nutralize Principia Mathematica (Mathematical Principles of Natural Philosophy), firstly posted in 1687.

Newton used them to research and provide an explanation for the movement of many bodily gadgets and systems, which laid the muse for classical mechanics. In the time seeing that Newton, the conceptual content material of classical physics has been reformulated in opportunity ways, concerning unique mathematical techniques which have yielded insights which have been obscured withinside the original, Newtonian formulation.

Learn more about Newton's first law visit: https://brainly.com/question/1222214

#SPJ4

Answer:

blue and purple light

Explanation:

Light waves have very, very short wavelengths. Red light waves have wavelengths around 700 nanometers (nm), while blue and purple light have even shorter waves with wavelengths around 400 or 500 nm.

The velocity of a body or object determines its direction of motion. Speed is a scalar quantity in its most fundamental form. Velocity is essentially a vector quantity. It is the rate of change in distance. The displacement change rate is the issue.

The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity.

V = u + a*t

V = 2 + 0.20 * (2.5*60)

V = 32 m/s

The rate at which the speed and direction of a moving object change over time is known as acceleration. Something is said to be accelerating when it starts to move faster or slower. Motion on a circle accelerates even while the speed is constant because the direction is always changing. Due to the frequent change in direction, motion on a circle accelerates even while the speed is constant.

To know more about final velocity, click on the link below:

https://brainly.com/question/24445340

#SPJ9

The velocity of the swimmer relative to the shore is 2 m/s south by vector addition

What is vector addition ?

Vector addition means putting two or more vectors together. In the addition of vectors, we are adding two or more vectors using the addition operation in order to obtain a new vector that is equal to the sum of the vectors. Vector addition finds its application in physical quantities where vectors are used to represent velocity, displacement, and acceleration.

We can solve this problem by using vector addition.

In fact, we can take north as positive direction, and we can write the following:

vc = - 4m/s is the velocity of the current (which is negative, since it is south)

v s= +2m/s is the velocity of the swimmer (which is positive, since it is north)

Therefore, the velocity of the swimmer relative to the shore is

v = vs + vc = 2+(-4) = - 2m/s

And the negative sign means the direction is south, so the answer is

v = 2 m/s south

The velocity of the swimmer relative to the shore is 2 m/s south by vector addition

To learn more about vector addition from the given link

https://brainly.com/question/4945130

#SPJ9

Answer:

Explanation:

 Given:

L  = 881.0  m

F = 28.0 N

___________

A - ?

The work :

A = L*F = 881.0 * 28.0 ≈ 24 670  J

The paths of motion of the planets, if the gravitational force of the sun were to suddenly disappear will be a straight line.

The orbits in which the planets revolve around the Sun is elliptical in shape. Johannes Kepler was the first to discover the elliptical shape of orbits which was called as Kepler's laws of planetary motion.

According to Newton's first law of motion, objects always move in straight paths unless acted upon by an external force. This means that removing the force of gravity would cause them to move a straight line tangential to the orbit that it was revolving about.

Therefore,

To know more about Kepler's laws of planetary motion

https://brainly.com/question/12813684

#SPJ1

Mechanical energy  type of energy is the sum of kinetic and potential energy in an object that is used to do work.

Potential energy plus kinetic energy are combined to form mechanical energy. It refers to the power underlying an object's location and motion. A compressed spring, for instance, has mechanical energy in the form of potential energy, while a moving vehicle has mechanical energy in the form of kinetic energy.

A sequence of blades installed on a rotor shaft in a turbine generator are pushed by a flowing fluid, including such air, water, steam, combustion gases, or water. A generator's rotor shaft rotates or spins due to the fluid's force on the blades. In turn, the generator converts the rotor's physical (kinetic) energy into electricity.

To know more about Mechanical energy visit:

https://brainly.com/question/1932868

#SPJ4

The distance traveled by car A when they pass each other is 3278.2 ft.

The time taken for the two cars to meet each other is calculated by applying the concept of relative velocity.

(Va + Vb)t = d

where;

(74 + 56)t = 5760

130t = 5760

t = 5760/130

t = 44.3 s

The distance traveled by car A when they pass each other is calculated as follows;

da = 74 ft/s x 44.3 s

da = 3,278.2 ft

Learn more about relative velocity here: https://brainly.com/question/17228388

#SPJ1

Angle 32rad turn during that time if the angular accelaration is constant.

What is accelaration?

acceleration, rate at which the  velocity changes with time, in terms of both speed and the  direction. A point or else it's an  object moving in a straighten line is accelerated if it is  speeds up or slows down. Motion on a circle is the  accelerated even if the  speed is constant, because of  the direction is continually changing.

Sol-  In an uniformly accelerated circular motion, the angle traveled by the object is given by-

∆=wf+wo/2×t

Here  wf is the final angular speed .

It is the initial angular speed and t is the time of the motion. Replacing the given values-

∆= 12 rad/s + 4 rad/s /2 (4s)

∆= 32rad .

To know more about accelaration click-

https://brainly.com/question/460763

#SPJ4

Answer:

See below

Explanation:

Assuming no resistance

DISTANCE =  1/2 a t^2

443 = 1/2 (9.81)t^2      Shows t = 9.5 seconds

The distance between the points A and B is 6000 miles.

Let us assume that the distance between the points a and b is D.

Now, we know, airplane takes 4 hours and 48 minutes to move from a to b and back with no wind

Let us say the speed of the airplane is V.

So, we know,

Average Speed = total distance/total time

The distance between a to b and back is 2D.

So, we can write,

V = 2D/4.8

2D = V(4.8)

With wind of speed V'=100mph, it take 5 hours for the airplane to go from a to b ane back.

The average velocity of airplane in wind is,

V + V' = 2D/5

Putting value of 2D,

V + V' = V(4.8)/5

5(V + 100) = 4.8V

5V + 500 = 4.8V

0.2V = -500

V = -2500mph

The negative sign only means that we have taken the opposite direction, so that is not a problem and we can ignore it,

So,

We know,

2D =V(4.8)

D = 2500(4.8)/2

D = 6000 miles.

So, the distance between the two points is 6000 miles.

To know more about Velocity, visit,

https://brainly.com/question/80295

#SPJ4

The conclusion reached by the student who is most warranted is that the comet originates between the Sun and the asteroid belt.

Can humans survive on an aster?

The magnetic field and atmosphere that protect humans on Earth from harm are absent on asteroids. One approach to shield yourself from dangerous radiation is to live inside an asteroid. It is expected that humans would be sufficiently protected from radiation by excavating 100 meters beneath an asteroid.

How likely is it that an asteroid will strike Earth?

While space rocks of this size are most likely to reach Earth only about once every hundred million years, NEOs that are 50 to 100 meters (164 to 328 feet) broad have the potential to strike much more frequently—roughly every thousand years.

To know more about Asteroid visit here:

brainly.com/question/2826424

#SPJ4

Comets orbit the Sun in incredibly eccentric paths. They move in close proximity to the Sun from the outer solar system to the inner solar system via their orbits. Comets may have carried water and other materials to Earth through crashes early in the planet's history.

As the comet approaches the Sun, the outer ice layers melt and create a luminous coma, which causes comet tails to develop. This gas and dust are pushed into a long tail by particles streaming from the Sun. Always facing away from the Sun is the tail. The coma appears vivid because it reflects sunlight . Comets only briefly appear when they are close to the Sun. As they move, they appear to vanish.

To know more about comets refer the link below

https://brainly.com/question/12443607

The magnitude of the charge on the particle is 0.0083 C.

The centripetal force acting on the charged particle is equal tp the magnetic force.

[tex]\frac{mv^{2} }{r}[/tex] = qB

q = [tex]\frac{mv}{rB}[/tex]

   = [tex]\frac{(0.0020kg)(5.0m/s))}{(0.20 m)(60T)}[/tex]

  = 8.33 × 10⁻³ C 0r 0.0083 C

A magnetic field is a vector discipline that describes the magnetic influence on transferring electric fees, electric currents, and magnetic materials. A shifting charge in a magnetic subject experiences a pressure perpendicular to its very own pace and to the magnetic area.

This force causes the magnets to attract or repel each other. Examples of magnetic force are a compass, a motor, the magnets that maintain stuff at the fridge, educate tracks, and new roller coasters. All transferring costs deliver upward thrust to a magnetic subject and the costs that circulate via its regions, revel in pressure.

Learn more about the magnetic fields here:-https://brainly.com/question/9719792

#SPJ4

Students were asked about the speed of cars involved in an accident. When the verb was changed from "contacted" to "smashed", students were more likely to report that there was broken glass involved in the accident.

A verb is one of the parts of speech in English language and it can be defined as a type of word which is used to describe an action, occurrence, experience, or a state of existence such as, smashed, living, contacted, clean, drive, etc.

Speed can be defined as the distance covered by a physical object per unit of time. This ultimately implies that, the higher the speed of a car that is involved in a road crash or accident, the higher would be the level of impact and damage that would be caused.

In this context, we can reasonably infer and logically deduce that changing the verb from contacted to smashed, ultimately implies that the road crash or accident was ghastly and fatal and such would cause broken glasses in the cars that were involved.

Read more on verbs here: https://brainly.com/question/27748717

#SPJ1

Complete Question:

Students were asked about the speed of cars involved in an accident. When the verb was changed from "contacted" to "smashed" ______,

students were more likely to report that there was broken glass involved in the accident

students were less likely to report that the cars were traveling at high speeds

students were more likely to report that no one was injured in the accident

there was no differences noted.

Answer:

a - constant speed walking north (positive)

b,c,d - accelerating north (positive)

e - stopped

f - negative walking at a constant speed

Explanation:

When the line is straight with a constant slope the person is hiking at a constant speed. If the line curves they are accelerating if it is flat they are not moving and if it has a negative slope the hiker is moving south

The correct answer is option C.

Two electromagnetic waves are traveling through a material. Wave 1 has a maximum electric field strength that is three times the maximum field strength of wave 2. The average intensity of Wave 1 is nine times the intensity of Wave 2.

By comparing the two electromagnetic waves, we get:

Maximum Electric Field Strength of Wave(1) = 3 x Maximum Electric Field Strength of Wave (2), i.e.

[tex]E_{1}[/tex]  = 3 x [tex]E_{2}[/tex]

Now comparing the average intensities of the two waves. we get [tex]\frac{I1}{I2}[/tex]

The average intensity of electromagnetic wave 1 can be expressed as:

[tex]I_{1}[/tex] = [tex]\frac{1}{2}[/tex] x ε0 x  [tex]E1^{2}[/tex] x c ------- (1)

Now, the average intensity of the electro-magnetic wave 2 can be expressed as:

[tex]I_{2}[/tex]  =  [tex]\frac{1}{2}[/tex] x ε0 x  [tex]E2^{2}[/tex]  x c -----(2)

Now comparing equations 1 and 2 we get.

[tex]\frac{I1}{I2}[/tex]  =   [tex]E1^{2}[/tex] /  [tex]E2^{2}[/tex]

[tex]\frac{I1}{I2}[/tex]  =  ( 3 x [tex]E2)^{2}[/tex]/  [tex]E2^{2}[/tex]

[tex]\frac{I1}{I2}[/tex]  = 9

Thus, we can say that the average intensity of Wave 1 is nine times the intensity of Wave 2.

If you need to learn more about electromagnetic waves click here:

https://brainly.com/question/3871471

#SPJ4

The complete question is:

Two electromagnetic waves are traveling through a material. Wave 1 has a maximum electric field strength that is three times the maximum field strength of Wave 2. How do the average intensities of the waves compare?

a. The average intensity of Wave 1 is three times the intensity of Wave 2.

b. The average intensity of Wave 2 is three times the intensity of Wave 1.

c. The average intensity of Wave 1 is nine times the intensity of Wave 2.

d. The average intensity of Wave 2 is nine times the intensity of Wave 1.

Answer:

Resultant force of the given forces: approximately [tex]11.2\; {\rm N}[/tex] at approximately [tex]53^{\circ}[/tex] west of south.

Explanation:

The resultant force of these forces will be:

Refer to the diagram attached. The resultant [tex]5\; {\rm N}[/tex] force to the south and the [tex]10\; {\rm N}[/tex] force to the west are perpendicular to each other, forming the two legs of a right triangle. The hypotenuse of this right triangle will be the net effect of these two forces.

Apply Pythagorean's Theorem on this triangle to find the magnitude of this net effect:

[tex]\begin{aligned}(\text{length of hypotenuse}) &= \sqrt{10^{2} + 5^{2}} \approx 11.2\end{aligned}[/tex].

Hence, the magnitude of this net effect will be approximately [tex]11.2\; {\rm N}[/tex].

Let [tex]\theta[/tex] denote the angle between this resultant force and west. In this right triangle:

[tex]\begin{aligned} \tan(\theta) &= \frac{(\text{opposite})}{(\text{adjacent})} \\ &= \frac{5\; {\rm N}}{10\; {\rm N}} \\ &= \frac{1}{2}\end{aligned}[/tex].

[tex]\begin{aligned} \theta &= \arctan\left(\frac{1}{2}\right) \approx 27^{\circ}\end{aligned}[/tex].

Hence, the angle between this resultant force and south will be approximately [tex](90^{\circ} - 27^{\circ}) = 63^{\circ}[/tex]. This resultant force will be at approximately [tex]63^{\circ}[/tex] west of south.

13a  value of the hanging mass does the block accelerate at 1.8 m/s2

For 8 kg mass,

m 1 g - T = m 1 a

8g - T = 8a —————(I)

For 5 kg mass,

T - m 2 g = m 2 a

T - 5g = 5a —————(II)

Adding both equations, we get

8g - 5g = 13a

The constant velocity of the body on the frictionless surface is represented by the frictionless surface acceleration. No net force on the moving object can stop it from going when the surface is frictionless. As a result, the body keeps moving at the same speed. The skater has no net acceleration if no forces are operating on him and he is on a frictionless surface. The acceleration must be zero since the skier must have mass. If there is no acceleration when an item is moving, its velocity stays constant.

We must understand that acceleration always occurs in areas where there is friction. There are several types of forces at work on moving objects.

learn more about frictionless  acceleration refer

https://brainly.com/question/25825478

#SPJ4

The correct answer are as follows

(i) 250 m is the maximum height

(ii) Time to reach the height is 5 s

(iii) Time of the flight is 10 s

(iv) Horizontal distance from the foot of the tower to point Q is 433 m

Given,  π°= stand as the angle= 30°

h= height= 100m

u= initial velocity= 100m/s

g= acceleration due to gravity= 10m/s²

(i) maximum height= h(max)= u²sin²π°/g

= 100²(sin30°)²/10

= 10000(0.25)/10

= 1000(0.25)

= 250m

height(max)= 250m

(ii)time it takes to reach the height= using π°/g

= 100sin30°/10

= 10 × 0.5

= 5

t= 5s

(iii)time of flight, T= 2t

T= 2(5)= 10

T= 10s

(iv)horizontal distance=H= u²cosπ°/2g

= 100²(cos 30°)/2(10)

= 10000(0.866)/20

= 500(0.866)

= 433

H ( distance)= 433m.

To learn more about horizontal distance, height and time from the given link

https://brainly.com/question/20663604

#SPJ13

The boy pushed the sled for 15 seconds. The Work-Energy theorem can be applied in circumstances when a rigid body must move while being subjected to several forces.

The Work - Energy theorem states that the work done by the sum of all forces acting on a particle equals the change in the kinetic energy of the particle.

The Work-Energy theorem can be applied in circumstances when a rigid body must move while being subjected to several forces. A rigid body can only have kinetic energy because of its rigid structure, which prevents it from storing potential energy in its lattice.

The sled is initially at rest → initial velocity (u) = 0.

Final velocity (v) = 3.2 m/s

Mass of boy and sled (M) = 40 kg

Power developed (P) = 18 W = 18 Joules/sec

According to work - energy theorem -

Work done (W) = Δ E(K) = E(f) - E(i)

Therefore -

W=[tex](1/2*40*3.2*3.2-1/2*40*0)[/tex]=204 joule

Now, Power is defined as the rate of doing work -

P =[tex]pw/dt[/tex]= [tex]w/t[/tex]

18 = 204/t

t = 15 seconds

Hence, the boy pushed the sled for 15 seconds.

To learn more about energy theorem refer to:

https://brainly.com/question/22236101

#SPJ1

The boy pushed the sled for 15 seconds.

The sled is initially at rest → initial velocity (u) = 0.

Final velocity (v) = 3.2 m/s

Mass of boy and sled (M) = 40 kg

Power developed (P) = 18 W = 18 Joules/sec

According to work - energy theorem -

Work done (W) = Δ E(K) = E(f) - E(i)

Therefore -

[tex]$$\mathrm{W}=(1 / 2 * 40 * 3.2 * 3.2-1 / 2 * 40 * 0)=204 \text { joule }$$[/tex]

Now, Power is defined as the rate of doing work -

[tex]&\mathrm{P}=p w / d t=w / t \\[/tex]

[tex]&18=204 / \mathrm{t} \\[/tex]

[tex]&\mathbf{t}=15 \text { seconds }[/tex]

Hence, the boy pushed the sled for 15 seconds.

To learn more about energy theorem refer to:

brainly.com/question/22236101

#SPJ1

Answer:

Explanation:

Elements   Atomic No.   Mass No.   Proton No.    Electron No.   Neutron No.
Na                 11                   23                11                    11                     12


Cl                  17                   35               17                    17                     18


Ar                  18                  36                18                   18                     18


Ca                 20                 40                20                  20                    20


Atomic number = Proton number
Electron number = proton number
Mass Number = proton no. + neutron no.
Neutron number = Mass no. - proton no.

The direction of the velocity of the clod of dirt relative to the truck just before it hits is in the same direction as that of the truck.

The direction of the velocity of the clod of dirt relative to the ground just before it hits is in the opposite direction as that of the ground.

The relative velocity of an object in motion is the velocity of that object when viewed from a reference point.

The direction of the velocity of the clod of dirt before it hits the ground is in the same direction as that of the truck.

However, compared to the ground, the direction of the relative velocity is in the opposite direction.

Learn more about relative velocity at: https://brainly.com/question/20662992

#SPJ1

To find the voltage of the combined drops, we can just add the voltage of both drops together.

2(235.15) = 470.3 Volts

Given,

The length is r=5.70 m

The tangential speed is r=9.10 m/s

The centripetal acceleration is:

The acceleration is: