Three astronauts guide a 100 kg asteroid safely away from their space capsule. The first astronaut pushes with a 35 N force directed 45 degrees below the x-axis. The second astronaut pushes with a 35 N force directed 45 degrees above the -axis. The third astronaut pushes with a 35 N force along the x-axis. Calculate the magnitude of the net force exerted by the three astronauts. Calculate the rate (magnitude only) at which the asteroid's velocity changes.

Answers

Answer 1

The magnitude of the net force exerted by the three astronauts is 84.5 N and the rate at which the asteroid's velocity changes is 0.845 m/s².

The given parameters;

mass of the asteroid = 100 kgforce by first astronaut = 35 N, at 45 degrees below x -axisforce by second astronaut = 35 N, at 45 degrees above x-axisforce by third  astronaut = 35 N, at 0 degrees on x-axis

The resultant horizontal force applied by the three astronauts on the asteroid is calculated as;

Fₓ = 35cos(45) + 35cos(45) + 35cos(0)

Fₓ = 84.5 N

The rate at which the asteroid's velocity changes is calculated as;

[tex]F = ma = m\frac{\Delta v}{\Delta t} \\\\\frac{\Delta v}{\Delta t} = \frac{F}{m} \\\\\frac{\Delta v}{\Delta t} = \frac{84.5}{100} \\\\\frac{\Delta v}{\Delta t} = 0.845 \ m/s^2[/tex]

Thus, the magnitude of the net force exerted by the three astronauts is 84.5 N and the rate at which the asteroid's velocity changes is 0.845 m/s².

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Related Questions

Question 1 of 10
This graph shows how the potential energy of a reaction system changes
over time. Which statement is true for this system?
B
Potential energy
С
Reaction progress
O A. The potential energy of the reactants is greater than the potential
energy of the products
OB. The height of the curve at point A represents the activation energy
O C. The height of the curve at point B represents the activation energy.
O D. The potential energy of the products is greater than the potential
energy of the reactants.

Answers

The potential energy of the reactants is greater than the potential energy of the products.

What is potential energy of reaction?

Potential energy of a reaction is the stored energy that helps in breaking the bond of a compound during a chemical reaction.

The bonds present in the reactants in the reaction mixture split in the presence of the activation energy to release energy and form the product.

Thus,, option A. The potential energy of the reactants is greater than the potential energy of the products.

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write the energy change when charging the battery of a mobile phone​

Answers

Answer:

Chemical energy

Explanation:

Because most of the modern mobile batteries are lithium ion batteries where the electricity is stored by the chemical changes in the ionic structure of the battery.

Answer:

to make an energy the electricity provide the energy charging when use

the full range of electromagnetic energy is called the

Answers

Answer: the electromagnetic spectrum

Explanation:

The full range of frequencies of electromagnetic radiation is called the electromagnetic spectrum. From longest to shortest wavelengths, it includes radio waves, microwaves, infrared light, visible light, ultraviolet light, X rays, and gamma rays.

Hope I have helped, and have a good day!!!

A person would weigh less on the moon than on the Earth because... A) the moon has more mass, and therefore more gravity B) the moon has less mass, and therefore less gravity the moon has more mass, and therefore less gravity D the moon has less mass, and therefore more gravity​

Answers

Answer:

The answer is B

Explanation:

hope this helps <3

brainliest plz ? :)

How does noise affect a signal?


A) It causes the signal to deteriorate.


B) It amplifies the signal.


C) It allows the signal to travel further.


D) It changes the signal as it moves from one medium to another.

Answers

Answer:

A - It causes the signal to deteriorate  

Analyze data table #1 and then create a line graph comparing speed and time.

Answers

I don’t know what the answer is to the question but if I don’t answer the question I will be mad at the

NEED HELP!!!!! 11 POINTS!!!

Troy has decided that he wants to be healthier. He has been doing a pretty good job sticking to the exercise routine that he designed. However, he tends to eat a lot of junk food. He assumes that if he is exercising, diet is not really that important. What is the BEST response to Troy’s assumption?

A.
If he eliminates junk food, he will be eating healthy.

B.
As long as he is not overweight, diet does not matter.

C.
If he exercises a lot then it does not matter what he eats.

D.
Exercise and attention to diet need to go together to build health.

PLEASE NO LINKS

Answers

D. Exercise and attention to diet need to go together to build health.
It would be D because if you’re losing weight then you need to eat less calories than you burn in a day so then your body has to burn fat.

Answer this question i will mark you brainliest​

Answers

Answer:

es la c)

Explanation:

Answer:

Es la c porque si ................

an elevator suspended by a vertical cable is moving downward but slowing down. the tension in the cable must be:

Answers

Answer:

F = M a is the vector equation involved

F = T - M g      are the forces acting on the elevator   (scalar equation)

T - M g = M a

T = M (a + g)    remember this a scalar

If a is slowing down then it must have a positive acceleration upwards

Therefor the tension in the cable must be greater than zero

When the tension increases to M g, a has increased to zero

For a to be zero, no acceleration, T = M g

Một người tác dụng lên mặt sàn một áp suất 1,7.104N/m2. Diện tích của bàn chân tiếp xúc với mặt sàn là 0,03m2. Trọng lượng của người đó là.

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Answer:

Hi, can you ask it in english only?

Please please help me

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Answer:

amitude doesnt change

Explanation:

what is acceleration of gravity

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Answer:

Verified answer

Explanation:

Make me as brain liest plz

What is qualitative research?

Answers

Quality research most commonly refers to the scientific. process encompassing all aspects of study design; in. particular, it pertains to the judgment regarding the match. between the methods and questions, selection of subjects, measurement of outcomes, and protection against.

Answer:

Research is "creative and systematic work undertaken to increase the stock of knowledge". It involves the collection, organization, and analysis of information to increase understanding of a topic or issue. A research project may be an expansion on past work in the field.

Explanation:

Equations for power
P=
W=
T=

Answers

Answer:

w= f*x (x is distance) (f is force)

t= time

P= w/t

A water bottle contains 15.0 ounces of water. A person drinks 0.5 ounces per minute. How many hours will it take to drink all of the water?

Answers

0.5 hours (30 mins)
15÷ 0.5= 30

Please help I'll mark brainliest NO LINKS

Answers

Answer:

B

Explanation:

Answer:

B

Explanation:

i just did this question last week

Chọn câu trả lời đúng Một ôtô đang chạy thẳng đều với vận tốc 36km/h bỗng tăng ga chuyển động nhanh dần đều .Biết rằng sau khi chạy được quãng đường 1km thì ôtô đạt vận tốc 108km/h .Gia tốc của xe là
A. 1mm/s2 B. 0.001cm/s2 C. 0,4 m/s2 D. 1m/s2

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Answer:

yploi bonjour badam koi dori ka

The weight of a boy with a mass of 50 kg is
N. (Estimate 10
m/s2 forg)

Answers

Answer:

500N up........

.......

4. Which of the following statements about the state of matter is correct? A. Molecules in a solid are disorderly arranged B. Solids are highly compressible C. Liquids have definite form and volume D. Molecules in a gas move faster than those in a liquid.​

Answers

Answer:

B. Solids are highly compressible

A grandfather clock keeps time using a pendulum. Which will be true of the clock if the pendulum is shortened? Question 10 options:
It will run slow.
It will run fast.
It will keep the same time.
It will depend on the bob’s mass.

Answers

Answer: The period of the pendulum is shorter if the pendulum itself is shortened.

Explanation: i did  "It will depend on the bob’s mass". and got it wrong so it's not that one haha

Pleaseee helpppp meeeeeee I will give pountsss

Answers

Answer:

8.

m= 0. 113 kg

W = 1.1074 N

g = 9.8 m/ s²

9.

m= 870 kg

W = 8526 N

g = 9.8 m/s²

10.

a) weight on earth:

weight = mass × acceleration due to gravity (g)

g on earth = 9.8 m/s²

W = 75 × 9.8

W = 735 N

b) g on Mars

285 = 75 × g

g = 285/ 75

g = 3.8 m/ s²

The half-life of Radon-222 is 3.8 days. Calculate how long a 48g sample of radon will last before it contains only 3g of radon.

PLS HELP FOR MY GCSE REVISION! ill give brainliest

Answers

Answer:

48 / 3 = 16

1 / 16 of the original amount is to remain

4 half lives = 1/2 * 1/2 * 1/2 * 1/2 = 1/16

After 4 half lives 1/16 of the original amount is present

4 half-lives * 3.8 days / half-life = 15.2 days

After 15.2 days only 3 g will be present

HELPPPPPP

The free body diagram for an object is drawn below. Calculate the net force acting on the object. If this object is 10 kg, how/where will it accelerate

Answers

Answer:

sowi d ko po knows hehe need ko lang po ng points

Explanation:

hope u understand

Does the partially elastic collision transfer (more, less, or the same) momentum to the catcher than the completely inelastic collision? Explain.

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Answer:

momentum is a vector, KE is scalar. Bodies moving in opposite directions have offsetting momentum, but the KE does not offset.

Explanation:

can someone help me, please? ​

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Answer:

what to do

Explanation:

what is this I did not understand

is it possible for humans to use there extra eyelid?

Answers

Answer:

Known as the “plica semilunaris,” it's much more prominent in birds and a few mammals, and functions like a windshield wiper to keep dust and debris out of their eyes. But in humans, it doesn't work. It's vestigial, meaning it no longer serves its original purpose.

Explanation:

Hope it helps

Can someone please give me the answers to this? ... please ...

Answers

Answer:

See below:

Explanation:

Motion is what makes something move, there are different types and different ways to make motion, motion also comes with forces.

To figure out the motion type, we can simply see the wording of the sentence:

1) Air Resistance is the motion of air, it would be pushing up to stop the fall a bit.

2) We can neglect the resistance by being straight so we have to deal with less of it.

3) This motion is not in motion as nothing happened/happening.

4) This is friction as the friction of the ground and turning the car is slowing it down.

5) The motion is going in any direction as it depends on the start of the asteroid and its starting angle.

6) If its not moving; there is no motion.

7) We can neglect it by going on a 0 degree slope.

8) We simply have to do nothing as its already a law and will happen naturally.

9) The motion is basic motion with some friction due to its scenario.

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Study the ray diagram given below and select the correct option.
(a) Parallel to the incident ray
(b) Pass through F
(c) Appear to diverge from F
(d) Appear to diverge from C​

Answers

Answer:

(a) Parallel to the incedent ray

A force of 10 N works on a ball over a distance of 5 m. The force is perpendicular to the displacement of the ball. What is the total work done by the force?​

Answers

Since the force is perpendicular to the displacement of the ball, the total work done by the force is 50 Nm.

Given the following data:

Force = 10 NewtonDistance = 5 meters

To find the total work done by the force:

The work done by an object is the product of the perpendicular force acting on the object and the distance it covers.

Mathematically, work done is given by the formula:

[tex]Work\;done = Force[/tex] × [tex]distance[/tex]

Substituting the given parameters into the formula, we have;

[tex]Work\;done = 10[/tex] × [tex]5[/tex]

Work done = 50 Nm.

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heeelllpppp pleaaaaaaaase

Answers

option d

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