The space probe Deep Space 1 was launched on October 24, 1998. Its mass was 474 kg. The goal of the mission was to test a new kind of engine called an ion propulsion drive. This engine generated only a weak thrust, but it could do so over long periods of time with the consumption of only small amounts of fuel. The mission was spectacularly successful. At a thrust of 56 mN how many days were required for the probe to attain a velocity of 790 m/s (1770 mi/h), assuming that the probe started from rest and that the mass remained nearly constant

Answers

Answer 1

Answer:

T = 77.5 days.

Explanation:

Assuming no other forces acting on the probe, according to Newton's 2nd law, we can find the acceleration attained by the probe due to the thrust (assumed constant) as follows:

       [tex]a = \frac{F}{m} = \frac{56e-3N}{474kg} = 1.18 e-4 N (1)[/tex]

Since the probe started from rest, we can express the final speed applying the definition of acceleration, as follows:

       [tex]v_{f} = a* t (2)[/tex]

We can solve for t (in seconds) as follows:

       [tex]t = \frac{v_{f}}{a} = \frac{790m/s}{1.18e-4m/s2} = 6694915 s (3)[/tex]

Since 1 day = 86400 s, we can find the time in days as follows:

       [tex]t_{days} = \frac{t_{sec} }{1 day} = \frac{6694915s}{86400s} = 77.5 days (4)[/tex]


Related Questions

If the magnitude of vector A⃗ is less than the magnitude of vectorB⃗ , then the x component of A⃗ is less than the x component ofB⃗ . If the magnitude of vector is less than the magnitude of vector, then the component of is less than the component of.



a. True


b. False

Answers

False ?
I’m not totally sure but I think false

what was Thomas Edison first major invented? ​

Answers

Answer:

Thomas Edisons most famous invention was the phonograph

Thomas Edison announces his invention of the phonograph, a way to record and play back sound. Edison stumbled on one of his great inventions—the phonograph—while working on a way to record telephone communication at his laboratory in Menlo Park, New Jersey.

Explanation:

Hope I helped

23. Christina wanted to know whether the eating behavior of goldfish is affected by music. She set up a fish

tank. Every day, she played music for the fish and measured how much the fish ate. What is Christina

missing from this experiment?

A. a control group

B. a measurable result

C. a dependent variable

D. different types of fish

Answers

Answer:

a control group

Explanation:

To have a succsessful experiment you need something to compare your variable to.

A car turns a certain curve of radius 24.98 m with constant linear speed of
15.67 m/s. If the centripetal force experienced by that car is 34.652 kN, what is the
mass of the car?

Answers

Answer:

3525.19 kg

Explanation:

The computation of the mass of the car is shown below:

As we know that

Fc = m × V^2 ÷ R

m = Fc × R ÷ V^2

Provided that:

Fc = 34.652 kN = 34652 N

R = Radius = 24.98 m

V = speed = 15.67 m/s

So,

m = 34652 × 24.98 ÷ 15.67^2

 = 3525.19 kg

It is necessary to to secure an inflated balloon tightly give reason

Answers

Yea if you want it to be filled up but if not then no

An object is placed in material a at point P, as shown in the diagram. The light is refracted when it strikes the interface with material b. When viewed from material b, at which point will the image appear?

Answers

B because the areas of f can be 7 or higher

A bicyclist rides 5.0 km due east, while the resistive forcefrom the air has a magnitude of 3.0 N and points due west. Therider then turns around and rides 5.0 km due west, back to herstarting point. The resistive force from the air on the return triphas a magnitude of 3.0 N and points due east.
a) Find the work done by the resistive force during the roundtrip.
Based on answer in part A.
b) Is the resistive force a conservative force? explain.

Answers

Answer:

a) Find the work done by the resistive force during the roundtrip.

W=-30kJ

b) Is the resistive force a conservative force? explain.

The resistive force is not a conservative force since the work done during the round trip is not zero

Explanation:

The worf done on object y a constant force F is given by:

W= (F  cos ∅)S

Where S is the displacement and ∅ is the angle between the force and the displacement.

The displacement of the bicycle during each part of the trip is s=5000m and teh magnitude of teh resistance force is F=3.0N

∅1=180° he angle between the displacement and the force

W1=W2

W1 = (3.0 cos180) 5000m

W1=-15.O kJ

W=W1+W2

W=-30kJ

The resistive force is not a conservative force since the work done during the round trip is not zero

(a) The work done by the resistive force is 15,000 J

(b) The work done the resistive force is non-conservative since the resultant resistive force in not zero.

Work done

Work is said to be when an applied force displaces an object from its initial position.

Work done by resistive force

The work done by the resistive force is calculated as follows;

W = FΔr

W = 3 x (5,000 - 0)

W = 15,000 J

Thus, the work done the resistive force is non-conservative since the resultant resistive force in not zero.

Learn more about conservative force here: https://brainly.com/question/15357875

Light rays travel from one medium into another and refract away from the boundary. What changes about the light to cause this refraction?

A. Its speed increases.
B. Its frequency increases.
C. Its frequency decreases.
D. Its speed decreases.​

Answers

Answer:

a

Explanation:

I think its a its speed increases.....

How much work must be done to raise a 1100kg car 2m above the ground?​

Answers

Answer:

21560 J

Explanation:

Work = mg*h = 1100*9.8*2 = 21560 J

21560 J work must be done to raise an 1100 kg car 2m above the ground.

Work = mass * gravity * height

= 1100 * 9.8 * 2

= 21560 J

What is work done?

In precis, work is carried out whilst pressure acts upon an item to purpose a displacement. 3 portions must be regarded in the way to calculate the quantity of work. The ones 3 portions are force, displacement, and the perspective between the pressure and the displacement.

Paints carried out are elaborated in this type of manner that includes both forces exerted on the body and the whole displacement of the body. This block is preceded by a steady force F. The purpose of this pressure is to move the body a certain distance d in an immediate route in the route of the pressure.

Learn more about work here: https://brainly.com/question/1382377

#SPJ2

A Carnot engine operates between 1350 °F and 125 °F. If it rejects 55 Btu as heat, determine the work output.
a. W =68.54 Btu
b. W=145.19 Btu
c. W = 115.12 Btu
d. W=235.7 Blu

Answers

Answer:

C. [tex]W = 115.12\,Btu[/tex]

Explanation:

Thermodynamically speaking, a Carnot engine represents an entirely reversible thermal process and its energy efficiency represents the maximum theoretical efficiency that thermal machines can reach. The efficiency of the ideal thermal process ([tex]\eta[/tex]), no unit, is:

[tex]\eta = \left(1-\frac{T_{L}}{T_{H}} \right)[/tex] (1)

Where:

[tex]T_{L}[/tex] - Temperature of the cold reservoir, measured in Rankine.

[tex]T_{H}[/tex] - Temperature of the hot reservoir, measured in Rankine.

If we know that [tex]T_{H} = 1809.67\,R[/tex] and [tex]T_{L} = 584.67\,R[/tex], then the energy efficiency of the ideal thermal process is:

[tex]\eta = 0.678[/tex]

By First Law of Thermodynamics, we calculate the work output:

[tex]W = Q_{H}-Q_{L}[/tex]

[tex]W = \frac{W}{\eta} -Q_{L}[/tex] (By definition of efficiency)

[tex]Q_{L} = \frac{W}{\eta}-W[/tex]

[tex]Q_{L} = \left(\frac{1}{\eta}-1 \right)\cdot W[/tex](2)

Where:

[tex]Q_{H}[/tex] - Heat received by the engine, measured in Btu.

[tex]Q_{L}[/tex] - Heat rejected by the engine, measured in Btu.

[tex]W[/tex] - Work output, measured in Btu.

If we know that [tex]\eta = 0.678[/tex] and [tex]Q_{L} = 55\,Btu[/tex], then the work output of the Carnot engine is:

[tex]W = \frac{Q_{L}}{\frac{1}{\eta}-1 }[/tex]

[tex]W = 115.807\,Btu[/tex]

The work output of the Carnot engine is 115.807 Btu. (Answer: C)

I don’t get my physical science hw it’s about ocean currents

Answers

okay I’ll help you with some

11. Anchorage has the coldest average temperature because its the furthest north

7. The temperatures lower in Albuquerque because it has a higher elevation

10. Miami has the highest average temperature because it’s the closet to the equator

9. San Diego has warmer winter temperatures than Albuquerque because the elevation is lower in San Diego

DOES ANYONE KNOW HOW TO DO THIS?

Question:

Convert 68 MHz to Hz.

Answers

Answer:

68000

Explanation:

1 MHz = 1000 Hz

just multiply by 1000 :)

HELP ASAP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!
A car with a mass of 1,200 kg accelerates at a rate of 3.0 m/s^2 forward. What is the force acting on the car?

Answers

Answer:

the force acting on the car is 3600 N

Explanation:

The computation of the force acting on the car is shown below:

As we know that

Force = mass × acceleration

= 1200 kg × 3.0 ms/^2

= 3600 N

hence, the force acting on the car is 3600 N

If a truck has a mass of 7,692 kg and travels at a speed 51 m/s what is the momentum of the truck

Answers

Answer:

Explanation:

Given the following data;

Velocity = 51 m/s

Mass = 7,692 kg

To find the momentum;

Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

[tex] Momentum = mass * velocity [/tex]

Substituting into the equation, we have;

Momentum = 7692 × 51

Momentum = 392292 Kgm/s

Two light bulbs are 2.0 m apart. From what distance can these light bulbs be marginally resolved by a small telescope with a 4.50 cm. Assume that the lens is limited only by diffraction and λ = 600 nm

Answers

Answer:

R = 1.2295 10⁵  m

Explanation:

After reading your problem they give us the diameter of the lens d = 4.50 cm = 0.0450 m, therefore if we use the Rayleigh criterion for the resolution in the diffraction phenomenon, we have that the minimum separation occurs in the first minimum of diffraction of one of the bodies m = 1 coincides with the central maximum of the other body

            θ = 1.22 λ / D

where the constant 1.22 leaves the resolution in polar coordinates and D is the lens aperture

             

how angles are measured in radians

          θ = y / R

where y is the separation of the two bodies (bulbs) y = 2 m and R the distance from the bulbs to the lens

            [tex]\frac{y}{R} = 1.22 \frac{ \lambda}{D}[/tex]

            R = [tex]\frac{ y \ D}{1.22 \lambda}[/tex]

let's calculate

            R = [tex]\frac{ 2 \ 0.045}{ 1.22 \ 600 \ 10^{-9}}[/tex]

            R = 1.2295 10⁵  m

Please answer my head is about to explode.

Answers

Answer:

290

Explanation:

I tried not so certain abt the answer

Answer:

Explanation:

Givens

Mass: 1450 kg

vi = 0

a = 5 m/s^2

vf=?

Formula

KE = 1/2 m v^2

d = vi * t + 1/2 a t^2

a = (vf - vi)/t

Solution

The final KE = 0 because the final velocity = 0 (The concrete wall saw to that).

Second formula

d = vi*t  + 1/2 a t^2

20  = 0 + 1/2 * 5 * t^2

40 = 5*t^2                         Divide by 5

40/5 = t^2

8 = t^2

2√2 = t

Third formula

5 = (vf - 0)/2√2                Multiply by 2√2

5* 2√2 = vf

10√2= vf

First formula

KE = 1/2 m * (10√2)^2

KE = 1/2 1450 * 100*2

KE = 1450 * 100              2 and 1/2 cancel out.

KE = 145000

This means that the change in KE is 145000 Joules or 145 kJ

A dropped ball gains speed because

its nature is to become closer to Earth,

its velocity changes.

a gravitational force acts on it

Of inertia

Answers

Answer:

3 and 3 and 3

Explanation:

I am sure Hope for brain list

pers
2. (a) Calculate the virtual depth of a black dot at the
bottom of a cubic block made of transparent glass with each
side 4 cm, while the refractive index of glass is 1.6.​

Answers

Answer:

2.5 cm

Explanation:

Using the relation :

Refractive index = Real Depth / Apparent depth

Refractive index = 1.6

Real depth = 4cm

Virtual depth = apparent depth = x

1.6 = 4cm / x

1.6x = 4

x = 4 / 1.6

x = 2.5

Hence, virtual depth = 2.5cm

A 20 cm radius ball is uniformly charged to 70 nC.
(a) What is the ball's charge density?
(b) How much charge is enclosed by spheres of radii 5, 10 and 20 cm?
(c) What is the electric field strength at points 5, 10 and 20 cm from the center?

Answers

Answer:

Explanation:

A)

Density= charge/total volume .......eqn(1)

But volume= 4/3πr^3

r= radius= 20 cm= 0.20m

If we substitute into the volume equation, we have

volume= 4/3 * 3.142 *( 0.20)^3

= 0.0335 m^3

The volume= 0.0335 m^3

Charge=71 nC= 71×10^-9

If we substitute into eqn(1) we have

Density= (71 *10^-9C )/0.0335

= 2.11µc/m^3

B) charge enclose= Density × volume

spheres of radii are

5cm

10 cm

20 cm

Volume for 5cm

V= 4/3 * 3.142 *( 0.05)^3 = 0.0005237 m^3

charge enclose=2.11µc/m^3×0.0005237

charge enclose= 2.110 nC

Volume for 10cm

V= 4/3 * 3.142 *( 0.10)^3 = 0.004189 m^3

charge enclose= 2.11µc/m^3 ×0.004189

=8.9 nC

Volume for 20cm

V= 4/3 * 3.142 *( 0.20)^3 = 0.0335 m^3

charge enclose= 71nC

A particle move in the xy plane so that its position vector r=bcosQi +bsinQj+ ctk, where b, Q and c are constants. show that the partial move with constant speed.​

Answers

Answer:

The speed of this particle is constantly [tex]c[/tex].

Explanation:

Position vector of this particle at time [tex]t[/tex]:

[tex]\displaystyle \mathbf{r}(t) = b\, \cos(Q)\, \mathbf{i} + b\, \sin(Q) \, \mathbf{j} + c\, t\, \mathbf{k}[/tex].

Write [tex]\mathbf{r}(t)[/tex] as a column vector to distinguish between the components:

[tex]\mathbf{r}(t) = \begin{bmatrix}b\, \cos(Q) \\ b\, \sin(Q) \\ c\, t\end{bmatrix}[/tex].

Both [tex]b[/tex] and [tex]Q[/tex] are constants. Therefore, [tex]b\, \cos(Q)[/tex] and [tex]b \sin (Q)[/tex] would also be constants with respect to [tex]t[/tex]. Hence, [tex]\displaystyle \frac{d}{dt}[b\, \cos(Q)] = 0[/tex] and [tex]\displaystyle \frac{d}{dt}[b\, \sin(Q)] = 0[/tex].

Differentiate [tex]\mathbf{r}(t)[/tex] (component-wise) with respect to time [tex]t[/tex] to find the velocity vector of this particle at time [tex]t\![/tex]:

[tex]\begin{aligned}\mathbf{v}(t) &= \frac{\rm d}{{\rm d} t} [\mathbf{r}(t)] \\ &=\frac{\rm d}{{\rm d} t} \left(\begin{bmatrix}b\, \cos(Q) \\ b\, \sin(Q) \\ c\, t\end{bmatrix}\right) \\ &= \begin{bmatrix}\displaystyle \frac{d}{dt}[b\, \cos(Q)] \\[0.5em] \displaystyle \frac{d}{dt}[b\, \sin(Q)]\\[0.5em]\displaystyle \frac{d}{dt}[c \cdot t]\end{bmatrix} = \begin{bmatrix}0 \\ 0 \\ c\end{bmatrix}\end{aligned}[/tex].

The speed [tex]v[/tex] (a scalar) of a particle is the magnitude of its velocity :

[tex]\begin{aligned}v(t) &= \| \mathbf{v}(t) \| \\ &= \left\|\begin{bmatrix}0 \\ 0 \\ c\end{bmatrix}\right\| \\ &= \sqrt{0^2 + 0^2 + c^2} = c\end{aligned}[/tex].

Therefore, the speed of this particle is constantly [tex]c[/tex] (a constant.)

A sled's mass is 9 kg. It is held in place on a frictionless 16-degree slope by a rope attached to a stake at the top of the slope. What is the tension in the rope if it is parallel to the slope?

Answers

Answer:

The tension in the rope if it is parallel to the slope is 24.31 N.

Explanation:

Given;

mass of the sled, m = 9 kg

angle of inclination of the slope, θ = 16⁰

The tension in the rope if it is parallel to the slope is calculated from the parallel component of the tension;

[tex]T_|_| = mgSin \theta\\\\T_|_| = 9 \times 9.8 \times sin(16^0)\\\\T_|_| = 24.31 \ N[/tex]

Therefore, the tension in the rope if it is parallel to the slope is 24.31 N.

A skater with an initial speed of 5.90 m/s stops propelling himself and begins to coast across the ice, eventually coming to rest. Air resistance is negligible. (a) The coefficient of kinetic friction between the ice and the skate blades is 0.0500. Find the deceleration caused by kinetic friction. (b) How far will the skater travel before coming to rest

Answers

Answer:a) - 0.4905 m/s²   b) distance = 35.48 m

Explanation:

Given that  

The initial velocity of the skater = 5.90 m/s

 kinetic friction coefficient = 0.0500

final velocity = 0 m/s(since it  comes to rest)

deceleration cause by the kinetic friction = ?

we know that  

F = μN

and N= mg

Therefore;

F = μ m g....................(1)

also  that

F = m a........................(2)

with our common Force, F, equating  (1) and (2), we have that

m a = - μ m g

a = - μ g

a = - 0.05 × 9.81

a = - 0.4905 m/s²

The deceleration cause by the kinetic friction is a = - 0.4905 m/s²

b)

The distance the skater  travels before stopping

is given as

    Vf² = v₀² - 2 a x

  final velocity = 0 m/s(since it  comes to rest)  

Therefore We have that

 0 = v₀² - 2 a x

 x = - v₀² / 2 a

 x = 5.90² / (2 x 0.4905  )

34.81/0.981  

x = 35.48 m

Or

using

v²-u² = 2aS final velocity = 0 m/s(since it  comes to rest)  

0²-5.90² = -2×0.4905×S

34.81=0.981S

S= 34.81/0.981

S=35.48m

The magnitude obtained when adding vector A (80 N at 20 deg) with vector B (40 N at

70 deg) is:

110.06 N

89.85 N

0 130.32 N

0 141.98 N

Answers

Answer:

110.06N

Explanation:

The magnitude of the force is known as the resultant.

R = √Fx²+Fy²

Fx = 80cos 20 + 40cos70

Fx = 80(0.9397)+40(0.3420)

Fx = 75.176 + 13.68

Fx = 88.856N

Fy = 80sin 20 + 40sin70

Fy = 80(0.3420)+40(0.9397)

Fy = 27.36 + 37.588

Fy = 64.948N

R = √88.586²+64.948²

R = √7,847.48+4,218.24

R = √12,065.72

R = 109.5

R = 110N

Hence the magnitude of the forces is 110N

A cork dropped into a water filled beaker floats with volume V1 representing the portion of cork above water. When it is dropped in a beaker containing corn syrup, it floats with its volume V2 (again, the portion of cork above syrup). How do these volumes compare?A. V1 = V2.B. V1 > V2.C. V1 < V2.D. V1 ≥ V2.

Answers

Answer:

C. V1 < V2

Explanation:

The computation is shown below:

As we know that

Byoyancy force represent the displaced water weight

[tex]B = V_{in},_{w}P_{w}g[/tex]

[tex]V_{in},_{w}[/tex] denotes cork volume that inside the water

[tex]P_{w}[/tex] denotes water density

And, byoyancy force represent the displaced weight of corn syrup

[tex]B = V_{in},_{syr}P_{syr}g[/tex]

[tex]V_{in},_{syr}[/tex] denotes the cork volume that inside the water

[tex]P_{syr}[/tex] denotes syrup density

Now

[tex]P_{syr}>P_{w}\\\\V_{in},_{syr}<V_{in},_{wat}\\\\V_2>V_1 or V_1 <V_2[/tex]

Hence, the option c is correct

Wave 1 has a wavelength 0.5 m and wave 2 has a wavelength= 0.05m. which wave carries higher energy?

Answers

Answer & Explanation:

The energy of a wave depends upon its amplitude, frequency and wave speed.

Assuming that both these waves are light waves, they have the same speed and amplitude can be assumed to be constant.

Wave 2 has a smaller wavelength and hence a higher frequency as c = λf, where

c is the speed of light,

λ is the wavelength and

f is the frequency of the wave.

Since wave 2 has a higher frequency, it has more energy.

A 107 kg boat that is 7 m in length is initially 7.3 m from the pier. A 53 kg child stands at the end of the boat closest to the pier. The child then notices a turtle on a rock at the far end of the boat and proceeds to walk to the far end of the boat to observe the turtle. 7.3 m 7 m How far is the child from the pier when she reaches the far end of the boat

Answers

Answer:

11.98 m

Explanation:

Given that:

mass of the child [tex]m_c[/tex] = 53 kg

mass of the boat [tex]m_b[/tex] = 107 kg

[tex]\text{length of the boat L = 7 m}[/tex]

the distance of the boat from pies l = 7.3 m

initial momentum [tex]P_i = 0[/tex]

Final momentum [tex]P_f = mc \dfrac{L}{f}- (m_c +m_b) \dfrac{x}{l}[/tex]

where;

x = distance moved by boat towards left

t = time taken for the child to travel to the far end of the boat

[tex]P_i =P_f[/tex]

[tex]m_c \dfrac{L}{t}=(m_c +m_b) \dfrac{x}{t}[/tex]

Then;

[tex]x = \dfrac{m_cL}{m_c+m_b}[/tex]

[tex]x = \dfrac{53 \times 7}{53+107}[/tex]

x = 2.32 m

The distance of the child from the pier is:

d = L +(l - x)

d = 7 m + ( 7.3 m - 2.32 m)

d = 7 m + 4.98 m

d = 11.98 m



Name the nutrients required for the
body.​

Answers

Answer:

1- water

2- fat

3- carbohydrates

4- vitamins

5- minerals

The spectral classification of Antares is

Answers

Answer:

M1.5Iab-Ib

Explanation:

unpolarized light of intensity Io is incident on an ideal linear polariser (no absorption) . what is the transmitted intensity?​

Answers

Answer:

A Polarizing sheet transmits only the component of light polarized along a particular direction and absorbs the component perpendicular to that direction.

Consider a light beam in the z direction incident on a Polaroid which has its transmission axis in the y direction. On the average, half of the incident light has its polarization axis in the y direction and half in the x direction. Thus half the intensity is transmitted,and the transmitted light is linearly polarized in the y direction.

How does the angle of launch affect the kinetic energy of a rubber band?​

Answers

Answer:

The angle of launch of the rubber band affects the initial velocity. The more the rubber band is stretched the more force it applies to return to equilibrium and the more kinetic energy that results in.

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