A 3000 kg spaceship is floating through space at a rate of 2 m/s. An astronaut traveling in the opposite direction at a velocity of 10 m/a grabs hold of the side of the ship...

Scientifically painting finished components might be given as, W = F * d. In this example, the pressure exerted at the block is regular, however, the path of force and the direction of displacement encouraged by using this pressure is one-of-a-kind. right here, force F reacts at an attitude θ to the displacement d.

The work accomplished through pressure is defined to be the product of the aspect of the force in the path of the displacement and the importance of this displacement. formulation. work may be calculated by multiplying force and Distance inside the route of force as follows. W = F × d.

The work W is equal to the pressure f instances the distance d, or W = fd. If the force is being exerted at a perspective θ to the displacement, the work accomplished is W = FD cos θ.

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The satellite’s speed is 7922.4 m / s if the Sputnik I, had a mass of 83.4 kg and a momentum with a magnitude of 660,730 kg·m/s.

p = m v

p = Momentum

m = Mass

v = Velocity

m = 83.4 kg

p = 660730 kg m / s

v = p / m

v = 660730 / 83.4

v = 7922.4 m / s

Momentum can be described as a mass in motion. It is the product of the object's mass and its velocity. It can also be described as the power held by a moving body that it can exert on another body.

Therefore, the satellite’s speed is 7922.4 m / s

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12. The time taken for the journey is 400 s

13. The time taken for the train is 200 s

14. The time taken is 7 h

15. The time taken for the beetle is 12 s

16. The time taken for the journey is 0.0068 h

The time taken in each case as given by the question can be obtain as follow:

12. The time taken for the journey

Time taken = Distance / Speed

Time taken = 26000 / 65

Time taken = 400 s

13. The time taken for the train

Time taken = Distance / Speed

Time taken = 3200 / 16

Time taken = 200 s

14. The time taken to travel

Time taken = Distance / Speed

Time taken = 672 / 96

Time taken = 7 h

15. The time taken for the beetle

Time taken = Distance / Speed

Time taken = 1.08 / 0.09

Time taken = 12 s

16. The time taken for the journey

Time taken = Distance / Speed

Time taken = 35 / 5147

Time taken = 0.0068 h

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Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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Answer:

The wavelength of the wave is 1.419 cm.

Explanation:

wavelength emitted by the one micro wave = 1.41 cm

beat frequency =  170 M Hz

Let the frequency of the wave is f.

\(f=\frac{c}{\lambda }\\\\f =\frac{3\times 10^8}{0.0141}\\\\f = 2.13\times 10^{10} Hz\)

Let the frequency of the other wave  is f'.

\(f' = 2.13\times 10^{10}-170\times10^6\\\\f' = 21130\times 10^6 Hz\)

The wavelength is given by

\(f' = 21130\times 10^6 Hz\\\lambda = \frac{3\times 10^8}{21130\times 10^6}\\\\\lambda = 0.01419 m = 1.419 cm\)

Answer:

Depends on position

Explanation:

Rest:

A body is said to be at rest, if it does not change its position with respect to its surroundings.

Motion:

A body is said to be in motion, if it changes its position with respect to its surroundings.

The state of rest and motion is relative

Answer:

\(F=3.665 \times 10^{-7} N\) acting along the line joining both the sphere and always attractive in nature.

Explanation:

The given radius of both the sphere, r= 65 mm = 0.065 m

So, the volume of the spheres, \(v= \frac 4 3 \pi r^3\)

\(v= \frac 4 3 \pi (0.065)^3 = 1.150 \times 10^{-3} m^3\)

The density of steel, \(\rho _s = 7850 kg/m^3\)

and the density of copper, \(\rho_c= 8940 kg/m^3\)

Let M be the mass of the copper ball and m  is the mass of the steel ball.

So, \(M=\rho_c v= 8940\times 1.150 \times 10^{-3} = 10.281\) kg

\(m=\rho_s v= 7850\times 1.150 \times 10^{-3} = 9.0275\) kg

The gravitational force, F, between the two objects having masses M and m and separated by distance d is

\(F=\frac{GMm}{d^2}\)

Where \(G= 6.674 30 x 10^{-11} m^3 kg^{-1} s^{-2}\) is the universal gravitational constant.

When both the sphere touches each other, d = 2r= 2 x 0.065 = 0.13 m

Hence, the gravitational force between both the sphere,

\(F= \frac {6.674 30 x 10^{-11}\times 10.281 \times 9.0275}{0.13^2} \\\\F=3.665 \times 10^{-7} N\)

The nature of gravitational force is always attractive and acting along the line joining the center of both the sphere.

Explanation: Magma is molten rock found below the earth's surface. ... On the other hand, if the rocks are under greater pressure, they will require higher temperatures to melt. Melting of rocks typically occurs in the lower lithosphere or upper asthenosphere. The earth gets hot pretty quickly as you dig down from the earth's surface.

Answer:

a. 1.2×10^-6

b. 0.42×10^9

c. 246.8×10^3

d. 88

Answer:

1.92

2.61

Explanation:

The average time taken by the car to cover a distance of 0.25 meters and 0.50 meters which is based on the three trial times are :

Distance of 0.25 meters = 2.23 seconds

Distance of 0.50 meters = 3.13 seconds

Distance is defined as a numerical or sometimes a qualitative measure of how far objects or points are. Distance can be described as a physical length or as an approximation based on other criteria.

It can be calculated by:

Distance= Speed x time

Where, Distance is in Meter or kilometer

Speed is in meter per second or km/min

Time is in seconds or minutes

From the above formula, we can also calculate the time like for above given information,

Average travel time to cover 0.25 meters :

(Trial 1 time + Trial 2 time + Trial 3 time) ÷ 3

(2.24 + 2.21 + 2.23) ÷ 3

(6.68 ÷ 3) = 2.226667 = 2.23 seconds

Average travel time to cover 0.50 meters :

(Trial 1 time + Trial 2 time + Trial 3 time) ÷ 3

(3.16 + 3.08 + 3.15) ÷ 3

9.39 ÷ 3 = 3.13 seconds

Thus, the average time taken to cover 0.25 and 0.50 meters are 2.23 and 3.13 seconds respectively

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Answer:

5 m/s

Explanation:

We are given that 9000 kg of water flows through the pipe in 1 minute. Mass flow rate = mass/time

So, mass flow rate = 9000 kg / 1 minute = 150 kg/s

We know the cross sectional area of the pipe is 0.3 m2. From continuity equation, mass flow rate = density * area * velocity

So, 150 = 1000 * 0.3 * v (Density of water is approximately 1000 kg/m3)

Solving for v (velocity):

v = 150/(1000*0.3) = 5 m/s

Therefore, the speed of water in the pipe is 5 m/s.

Answer:

Multiply the friction factor by pipe length and divide by pipe diameter. Multiply this product by the square of velocity. Divide the answer by 2.

Explanation:

Multiply the friction factor by pipe length and divide by pipe diameter. Multiply this product with the square of velocity. Divide the answer by 2.

Hope this answer helps you

Answer:

10 Sig Figs

Explanation:

Just start counting at the first non zero after the decimal so in this case the nine, and count all of the numbers including zeros after that.

Explanation:

Total Resistance: 3+2 = 5 ohms

V=9V

Power = V²/R

=9²/5

=81/5

=16.2 W

Answer: 100

Explanation:

Answer:

a. 3 seconds

b. 0.33 Hz

Explanation:

a. Period is defined by how long, in seconds, it takes for an object to complete one revolution, or cycle. If the object completes 50 cycles in 150 seconds, then it must complete one cycle every 150/50 = 3 seconds. Therefore, the period of the object is \(\boxed{3\text{ seconds}}\).

b. Frequency is given by \(f=\frac{1}{T}\) where \(T\) is the period, in seconds. Since we just found that the period is 3 seconds, plug in \(T=3\):

\(f=\frac{1}{3}\approx \boxed{0.33\text{ Hz}}\)

Answer:

Lubrication

Explanation:

People oil/lubricate bicycle chains because the chain turns around the cogs and rub together so this help with friction.

Hope this helps :)

Answer:

The method of reducing friction are :

i) In moving parts of machine friction can be reduced by using a ball bearing between the moving surfaces

ii) The bodies of aeroplane ,ship ,boat etc are made streamlined to reduce friction.

iii) Friction can be reduced by polishing rough surfaces. For example : carrom boards are highly polished to reduce friction.

I hope this help you:)

The average velocity of the car during this 20 sec interval is 1.5 m/s.

Given that,

A car travels 50 metres due north in 15 seconds then car turns around the and travels 20 metres due south in 5 second.

To find :

The magnitude of the average velocity of the car during this 20 seconds interval.

Initial velocity

u = 50 metres/15 = 3.33 m/s

Final velocity

v = 20 metres/5 = 4 m/s

Displacement of car is

Displacement = 50 - 20 = 30 metres

Let V is the velocity of the car during this 20 sec interval. We know that the average velocity is given by :

V = d/t

V = 30 metres/20 = 1.5 m/s

So, the average velocity of the car during this 20 sec interval is 1.5 m/s.

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Answer:

it is double the temperature change of iron

Answer:

Explanation:

the 40-watt bulb is going to require less energy to power.

The magnitude of the resultant force, F = 1,190.3 acting at a direction X = 13.35°.

The resultant force on the rocket is calculated thus:

The 513N thrust is resolved into vertical and horizontal components;

Horizontal component: 513N cos(32.4°) = 433.14 N

Vertical component: 513N sin(32.4°) = 274.88 N

Total forward force on the rocket = 725 N + 433.14 N = 1,158.14 N

Total force at right angles:

0 + 274.88 N = 274.88 N

The resultant force (F) is then given as follows:

F² = a² + b²

F² = (1158.14 N)² + (274.88 N)²

F = √1,416,847.27

F = 1,190.3

To find the direction:

tan X 274.88 N / 1,158.14 N

X = tan⁻¹ 0.237346089419241

X = 13.35°

Therefore, the magnitude of the resultant force, F = 1,190.3 acting at a direction X = 13.35°.

In conclusion, the resultant force is obtained by resolving the forces into vertical and horizontal components.

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that the relative placements of the charges as well as their multiples affect a set of ions' potential energy. When the specific charge have the same sign or have equal signs, the energy is positive. Or else, it is negative.

The force acting just on two objects affects the potential energy formula. The formula for gravitational force is P.E. (= mgh, where g seems to be the acceleration caused by gravity (9.8 m/s2 at the earth's surface) while h represents the elevation in metres.

As a result, the system's potential energy equals the sum of a work that was done to set up the entire system of two counts. The potential energy that exists in the combination of two charges in such an external field can be stated as follows: q1V(r1) = q2V(r2) + (q1q2/4or12).

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Answer:

11.2 m/s

Explanation:

We need to first figure out how long it took to reach the ball's max height:

Vf = 0

Vi = 30 m/s

a = -9.81 m/s^2

t = ?

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

Vf = Vi + at

0 = 30 + (-9.81)t  --->  -30 = -9.81t  ---> 3.058 = t

t = 3.058 s

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

We can now solve the problem by subtracting the given time (4.2s) by the max height time (3.058s) and plugging that into a kinematic equation for Vf:

Vi = 0

a = 9.81 m/s^2

t = (4.2s - 3.058s) = 1.142 s

Vf = ?

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

Vf = Vi + at

Vf = 0 + (9.81)*(1.142)  ---> Vf = 11.203

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

The velocity of the ball after 4.2s is 11.2 m/s

Answer:

F=[m] x [L¹T-²] = m¹L¹T²

Answer:

there is no acceleration

Explanation:

acceleration only occurs when the speed changes for example if you were to start at 10m/s and after ten seconds be at 50m/s then there would be acceleration but because speed is constant there is no acceleration

The steps/guidelines for preventing quackery and fraud when shopping are :

Quackery involves the claim of knowledge and provision of a fake and dishonest service to unsuspecting customers or clients and this is very common in medicine.

Fraud is the false representation of a material or service in order to cause loss of money or pain to an unsuspecting client or customer. some steps to prevent fraud are as follows :

Hence we can conclude that The steps/guidelines for preventing quackery and fraud when shopping are as listed above

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The time taken to get up and out of the way before you and the child collide is 2.82 s.

The time taken to get up and out of the way before you and the child collide is calculated as follows;

s = v + ¹/₂at²

s = v + ¹/₂(g sin (31)t²

where;

The time taken to get up is calculated as;

20 = 0 +  ¹/₂(9.8 sin (31)t²

20 = 2.524t²

t² = 20/2.524

t² = 7.925

t = 2.82 s

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Answer:

the solution for x is 0.2403 M-1s-¹

Explanation:

To solve for x, we simply need to plug in the given values and simplify:

x = (8.9 x 10³ M-2s-¹)(0.30 M)³

x = 8.9 x 10³ M-2s-¹ x (0.30 M)³

x = 8.9 x 10³ M-2s-¹ x 0.027 M³

x = 0.2403 M-1s-¹

Therefore, the solution for x is 0.2403 M-1s-¹.

While it's carrying the passengers and packages, its total mass is 5000 kg + 1475 kg = 6475 kg, so that its weight is

(6475 kg) g = 63,455 N

In order to hover, the helicopter's thrust should match this weight.