A cow wanders 30 m North, turns 22 degrees right of its original path, and wanders another 40 m. Find its total displacement.

0.145 Newton is the required steady force of each rocket if the satellite is to reach 32 rpm in 5.0 min , starting from rest

mass of satellite ( M ) = 3500 kg

radius of satellite ( r )  = 4.4 m

mass added by each rocket ( m ) = 220 kg

Angular speed of satellite = 32 rpm

Time = 5 mins  

moment of inertia

[tex]I=1/2Mr^2+4mr^2[/tex]

M = 3500 kg  m = 220 kg,  r =4.4 m

I=33880+17036

Insert values into equation ( 1 )

I =20416 kg-m^2

angular acceleration

∝ = ω / t

= ( 2π×32 ) /  3600×5

= 0.0112 rad/s²

steady force required by each rocket

Τ = I × ∝     ( 1 )

T = 4rF

Equation ( 1 ) becomes

4rF = I × ∝

Force = I×∝ / 4r

= ( 228×0.0112 ) / 4×4.4

=2.56/17.6

= 0.145 N .

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Projectile motion is exemplified by actions like throwing a ball straight up,  a ball and giving it speed at an angle to the horizontal, or simply dropping something and letting it fall freely. Gravity is the only force acting on the object during projectile velocity.

Horizontal distance traveled by the ball is 29.86 m

Launch angle x  = 44 °

time period of flight = 2.5s

Time period of Projectile T = [tex]\frac{2u sin x}{g}[/tex]  , g=acceleration due to gravity

2.5 = [tex]\frac{2 X u sin 44}{9.2}[/tex]

Where u=initial velocity = 16.66 m/s

Range of Projectile is given by

R = [tex]\frac{u^{2} sin 2x }{g}[/tex]

R= [tex]\frac{16.66^{2} sin 2x44}{9.2}[/tex]

R =  29.86 m

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13.13 m/s is the velocity of the truck was when a truck of mass 3170 moving in the opposite direction collides with the car and the 2 vehicles stop immediately without sliding.

Momentum of car= 1850(22.5)=41625 kg m/s

Momentum of car = momentum of truck

Let the speed of truck = v m/s

Momentum of truck= v(3170)=3170 v  kgm/s

3170v = 41625

v = 13.13 m/s

Speed of truck = 13.13 m/s

The pace at which a moving object changes position as seen from a certain point of view and as measured by a particular time standard is known as its velocity.

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With the use of range formula, also, in multiple of 180 degree, 59 and 239 degrees are the angles of projection.

A projectile in kinematic under physics can be defined as any object that is projected or thrown to take a trajectory path.

Given that a tennis player makes a return at a speed of 15 m/s and at height of 3m to land in the court at a horizontal distance of 12 m from her.

Let us assume that the ball fall at height 3m. U = 0. Let us find the time

h = ut + 1/2gt²

3 = 0 + 1/2 × 9.8 × t²

3 = 4.9t²

t² = 3/4.9

t² = 0.612

t = √0.612

t = 0.782 s

Total time T = 2t

T = 2 × 0.782

T = 1.564 s

The possible angles of projection of the ball can be calculated by using the range formula

R = UcosФT

12 = 15cosФ × 1.564

12 = 23.46cosФ

cosФ = 12 / 23.46

cosФ = 0.512

Ф = [tex]Cos^{-1}[/tex] (0.512)

Ф =  59. 2 degree

Ф = 59°

Therefore,  the possible angles of projection of the ball are 59° and 239°

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The effective resistance of two equal resistors connected in series is twice that of a single resistor, reducing the amount of current flowing in the circuit.

The effective resistance of two resistors connected in series is the sum of their individual resistances. Given two resistors with resistance values R1 and R2, the effective resistance, Rx, is given by:

Rₓ = R₁ + R₂        

If the resistance values of these resistors are equal, say R, then equation 1 becomes:

Rₓ = R + R

Rₓ = 2R

That is, their effective resistance is twice as strong as their individual resistances. In other words, when two equal resistors are connected in series, their effective resistance is twice the resistance of each resistor.

Ohm's law states that voltage (V) is the product of current (I) and resistance (R) i.e.

V = IR

I = V/R

We can conclude that as resistance decreases, current increases and vice versa.

As a result, connecting the two equal resistors described above in series reduces the amount of current flowing compared to having just a single resistor.

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A full circuit is required for the flow of electrical current, and all electrical energy transmissions need the formation of a circuit with two wires—one going to the recipient and the other going back to the sender.

The construction of a circuit with two wires—one going to the recipient and the other back to the sender—is necessary for all electrical energy transmissions in order for current to flow. Due to the fact that all wireless signals are essentially delivered as electromagnetic signals rather than electrical signals, electromagnetic interference, often known as EMI, is a common problem in wireless communications.

This suggests that any interference with an electromagnetic signal (wave) may cause it to be amplified, destroyed, or lost (assuming constructive interference).

The interference brought on by electromagnetic disturbance is known as electromagnetic interference. Radio frequency interference is another name for it. We refer to interference that occurs in the radio frequency spectrum as radio frequency interference.

These days, wireless communication is expanding at an unprecedented rate. Over a large concentration, a small spectrum is available. Because of this, there is a greater likelihood of mutual interference. The performance of the device and the channel can both be impacted by a slight electromagnetic disturbance. It is crucial to keep interference at a minimal for better wireless performance.

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Answer: we are given the mass of an aluminum sculpture which is 145 kg and a horizontal force equal to 668 Newtons. The coefficient of friction can be determined by dividing the horizontal force by the weight of the object. In this case, 668 N / 145 * 9.8 equal to coeff of friction of 0.47

1. The acceleration of the cyclist is 0.42 m/s²

2. The total distance travelled by the cyclist is 2437.5 m

1. How to determine the acceleration    

We can obtain the acceleration of theration of the cyclist as follow:

a = (v – u) / t

a = (25 – 12.5) / 30

a = 12.5 / 30

a = 0.42 m/s²

Thus, the acceleration is 0.42 m/s²

2. How to determine the total distance

We'll begin by obtaining the distance travelled in the first 30 s. This can be obtained as follow:

s = (u + v)t / 2

s = [(12.5 + 25) × 30] / 2

s = [37.5 × 30] / 2

s = 1125 / 2

s = 562.5 m

Next, we shall determine the distance in the next 60 second.

s = vt

s = 25 × 60

s = 1500 m

Next, we shall determine the distance in the last 15 seconds.

s = (u + v)t / 2

s = [(25 + 0) × 15] / 2

s = [25 × 30] / 2

s = 750 / 2

s = 375 m

Finally, we shall determine the total distance travelled.

Total distance = 562.5 + 1500 + 375

Total distance = 2437.5 m

Thus, the total distance travelled is 2437.5 m

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The displacement of the sine wave in mm is determined as 75.36 mm.

Angular displacement is the angle made by the body from its point of rest at any point in the rotational motion.

The angular speed of the wave is calculated as follows;

ω = 2π/T

where;

ω = 2π/2

ω = π rad/s

The angular displacement of the wave is calculated as follows;

ω = θ/t

θ = ωt

where;

θ = ( π rad/s) x (0.3 s)

θ = 0.3π rad/s = 0.942 rad

The displacement of the wave in mm is calculated as follows;

Δx = θA

where;

Δx = 0.942 rad x 80 mm

Δx = 75.36 mm

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The potential energy that a huge item has in relation to another massive object due to gravity is known as gravitational energy or gravitational potential energy.

The mass of the plane and passenger is 5494.4 kg

following equation: Potential energy U=m g h

Where:

m = mass [kg]

g = gravity = 9.81[m/s^2]

h = elevation = 0.9 [km]

m= u/ (gh)

m =  48,510,000 / (9.81 x .9)

m= 5494.4 kg.

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Answer:

it's 2250meters and 2.25km

Explanation:

speed= distance÷time

75=distance÷30

75×30=distance

2250 m= distance

To convert meters into Kilometres we divide by 1000 so,

2250÷1000

2.25 Km

Answer:

W₂ / W₁ = 4

Explanation:

Given:

m

V₁ = V

V₂ = 2·V

_________

W₂ / W₁ - ?

Kinetic energy of the car:

W₁ = m·V₁² / 2 = m·V² /2

W₂ = m·V₂² / 2 = m·(2·V)² /2 = 4·m·V² / 2 = 4·W₁

W₂ / W₁ = 4·W₁/ W₁ = 4

Kinetic energy increased 4 times

Simply connect the battery's positive terminal to one of the electrical contacts on your light bulb and its negative terminal to the other.

Many lightbulbs have one electrical contact with screw threads, while the other contact is typically a circular dot on the base end. Other bulbs will protrude metal prongs. Soldering wires onto batteries and lights is infamously difficult to achieve adequate electrical contact. In flashlights, the spring contacts function significantly better (but even they are troublesome from time to time).

It's crucial to choose a bulb that works with the amount of power your battery can supply. The bulb's filament won't grow hot enough to visibly glow if the battery voltage is too low, resulting in a tiny current flowing through the bulb. If the battery voltage is too high, the filament will burn out due to the excessive current flow.

The filament will become overheated and evaporate if the battery has a voltage that is too high.

Standard bulbs require a voltage of about 120 V to operate, which is an uncommon range for batteries. Ordinary flashlight bulbs require roughly 3V to operate, which is simple to acquire by connecting two batteries in series. Typically, automotive bulbs are made to operate with 12V, which is the output of an automobile battery or eight conventional battery cells connected in series.

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starts radial velocity V = 1,23,000 m/s.The star is receding and This star is called redshift.

As a vector measurement of the rate and direction of motion, velocity is defined. Velocity can be defined as the rate of movement in one direction. A rocket launching into space and a car going north on a busy freeway can both be quantified using velocity.

The velocity vector's scalar (absolute value) magnitude corresponds to the motion's speed, as you would have anticipated. Velocity is the first derivative of position with respect to time in calculus. A straightforward formula that incorporates rate, distance, and time can be used to compute velocity. Even though they are different metrics, speed, velocity, and acceleration are all related to one another.

Velocity, as opposed to speed, refers to the pace and direction of an object's movement as it moves down a path. Speed and velocity have quite different meanings from distance and displacement, despite their similarities. The scalar property of speed

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Answer:

A phase change

Explanation:

If i understand the question correctly it should undergo a phase change e.g melting

The solution to this ques is available in the image.

Given,

Force= 1N

Mass= 0.11kg

Time= 5sec

Force= mass X accelaration

Accelaration= velocity/ time

Speed=distance/ time

Hence, the speed is 45 m/s and the distance is 225 m.

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Answer:  

Explanation:

at first the rock is at rest so initial velocity is zero
after accelerating it reaches a final velocity
we are supposed to find that final velocity


[tex]v^{2} = u^{2} +2ax[/tex]
v= final velocity
u= initial velocity
x= distance
a= acceleration

[tex]v^{2} = 0^{2} + 2(9.8)(14.4)[/tex]
[tex]v^{2} = 282.24[/tex]
[tex]v= \sqrt{282.24}[/tex]
[tex]v= 16.8 m/s[/tex]

Answer: this is true

Explanation:

if the object is moving and there is nothing stooping it, it will keep moving  

Visible light , The process by which plants convert carbon dioxide, water, and sunshine into oxygen and sugar-based energy is known as photosynthesis.

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The acceleration of this car is equal to 9 meters per seconds square (m/s²).

An acceleration can be defined as the rate of change of the velocity of a physical object or body with respect to time.

In Science, the acceleration of a physical object (car) or body can be calculated by using this formula:

a = (V - U)/t

Where:  

Substituting the given parameters into the formula, we have;

a = (80 - 50)/30

a = 30/30

Acceleration, a = 1 m/s²

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RLC circuit with resistance 5 ohms, inductance 0.1 henrys, capacitance 0.004 farads is q"+20q' + 2500q =50 sin (75t) .

Electrical resistance is a force that opposes the flow of current and is hence resistance to electricity. In this sense, it acts as a gauge for the difficulty of current flow. Ohms () are used to measure resistance.

Electricity will flow from high to low when there is an electron difference between two terminals. In opposition to that flow is resistance. The current decreases with increasing resistance. On the other hand, the current increases with decreasing resistance.

Electronic components known as resistors obstruct the electrical current in a circuit. Similar to how faucets are used to change the flow of tap water, resistors are used in electrical circuits to modify current and voltage. They can also be utilised to regulate the current flow

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A swimmer needs to cross a river as quickly as possible. The swimmer’s speed in still water is 1.35 m/s.

(a) If the river’s current speed is 0.60 m/s and the river is 106.68 m wide, it will take the time swimmer to cross the river is (t) = 72.57 S, if he swims so that his body is angled slightly upstream while crossing, and he ends up on the far bank directly across from where he started.

(b) If he points his body directly across the river and is therefore carried downstream, it will take time to get across the river is (t)=72.57 S, and the distance downstream from his starting point will he end up is (S) = 43.542m.

Velocity means that the covered distance in a given time. In other words mathematically distance divided by time called velocity. It can be measured in m/s and cm/s.

(a)To calculate the time for the first case we are using the formula, S=vt.

The swimmer’s speed in still water is 1.35 m/s.=v₁=1.35j m/s.

the river’s current speed is 0.60 m/s.=v₂=0.60i m/s.

Now, let us apply the rule of relative velocity:

v=v₁+v₂=1.35j+0.60i

Or, |v|=√(1.35)²+(0.60)²

Or, |v|=1.47 m/s

Now we know the velocity of the water, v=1.47 m/s.

The wide of the river, S=106.68 m

Now we have to calculate the time to travel of the swimmer= t s

Now we put the values in above equation,

S=vt

Or, t=S/v

Or, t= 106.68/1.47

Or, t=72.57 s.

From the above calculation we can say that, If the river’s current speed is 0.60 m/s and the river is 106.68 m wide, it will take the time swimmer to cross the river is (t)=72.57 S

(b) If he points his body directly across the river and is therefore carried downstream, The time taken by the swimmer is the same as the first case.

So the time would be (t)=72.57 S.

The distance downstream from his starting point will he end up,

S = vt

Or, S= 0.6*72.57

Or, S=43.542

So according to the solution, If he points his body directly across the river and is therefore carried downstream, it will take to get across the river is (t)=72.57 S, and the distance downstream from his starting point will he end up is (S)=43.542m.

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To find

To divide 20 miles by 5 hours, what conversion should be made to make the calculation correct?

Explanation

20 miles refer to the distance travelled

5 hours refers to the time taken

So dividing distance by time would give us speed

Since both are different physicals quantity so their units need not be same.

Conclusion

The correct statement is

Divide the two numbers as given--units do not have to be the same when dividing.

Answer:

D. Ohm

Explanation:

Ohm is an SI-derived unit of resistance and can be expanded to its base units of m²·kg·s¯³·A¯².

The average intensity of the wave 1 is 9 times the average intensity of the wave 2.

When a electromagnetic wave moves, it carries electric as well as magnetic energy in itself.

The energy of the EM waves is by the equal contribution of both the waves.

It is provided, that wave 1 has electric field E that is three times the maximum electric energy E' of the wave 2.

So, we can say,

E/E' = 3

We know,

The intensity of the wave is given by,

I = 1/2eE²c

Where,

I is the intensity of the wave,

e is a permittivity of free space,

E is the strength of the wave,

c is the speed of light

Now, intensity of the wave 1,

I1 = 1/2eE1²c

For wave 2,

I2 = 1/2eE²c

Now, dividing both the intensity,

I1/I2 = E1²/E2²

We know,

E/E' = 3

So,

I1/I2 = 9

I1 = 9I2

So, we can say,

The intensity of wave 1 is 9 times the intensity of wave 2.

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Answer:

3.6

Explanation:

Bc its 27nm. And u need to X the answer

The submarine is 288.04 meters below the surface of the water.

As we can see,

The submarine is making an angle of 40.5° with the water surface and moving down till a displacement L of 397 meters.

The displacement L moved by the submarine will have two components because displacement is a vector quantity.

One along water surface Lcos(40.5°) and one along the line perpendicular to water surface Lsin(40.5°).

The depth D of the submarine below the water surface is along the line perpendicular to the water surface.

Here,

D = Lsin(40.5°)

Value of cos 40.5°is 0.76.

So,

D = 397×0.76

D = 288.04 meters.

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