Your spaceship lands on an unknown planet. To determine the characteristics of this planet, you drop a wrench from 3.50 m above the ground and measure that it hits the ground 0.809 s later.
Assuming that the planet has the same density as that of earth (5500 kg/m3), what is the radius of the planet?

Answer:

a) 4116.67 N

b) negative (assuming car is traveling in positive direction)

c) 19.125 m

Explanation:

We can find the average force exerted on the car by using Newton's 2nd Law: F = ma.

We have the mass (950 kg) but we do not have the acceleration. Let's solve for this using kinematics.

We have the time during braking, the initial and final velocity, and we need to find the acceleration. To do this, we can use the following equation: v = v₀ + at.

Substitute these values into the equation.

The car's acceleration during the braking period is -4.33 m/s², assuming the car is traveling in the positive direction.

Now, we can use this to plug into Newton's 2nd Law to find the force exerted on the car.

The magnitude of the average force exerted on the car while braking is the absolute value, so it is 4116.67 N.

The direction of the average force is denoted in the negative sign. It is opposite the direction of the car's motion. Assuming that the car is traveling in the positive direction, the direction of the average force exerted on the car is in the negative direction since this force is slowing the car down while braking.

We can find the distance traveled during the braking period by using another kinematic equation.

We have the initial and final velocity, and the time traveled, so we can use this equation: Δx = v_avg · t.

Substitute the known values into the equation.

The car traveled 19.125 m while braking.

Answer:

attracted

Explanation:

opposite charges attract each other when the rub against each other

Answer:

This depends because the electrostatic force obeys the principle that states that force between both of the particles does not get affected by the charges of the other thus if the needle is getting attracted it possess negative charges( the opposite charge) .And if they repel it means they have the same charges ( positive charges).

Answer:

gravitational lensing

Explanation:

Answer:

Gravitational lensing

Explanation:

His total displacement from his original position is -1 m

We know that total displacement of an object from a position x to a position x', d = final position - initial position.

d = x' - x

If we assume the lad's initial position in front of her house is x = 0 m. The lad then moves towards the positive x-axis, 5 m. He then ends up at x' = 5 m. He then finally goes back 6 m.

Since displacement = final position - initial position, and his displacement is d' = -6 m (since he moves in the negative x - direction or moves back) from his initial position of x' = 5 m.

His final position, x" after moving back 6 m is gotten from

x" - x' = -6 m

x" = -6 + x'

x" = -6 + 5

x" = -1 m

Thus, his total displacement from his original position is

d = final position - initial position

d = x" - x

d = -1 m - 0 m

d = -1 m

So, his total displacement from his original position is -1 m

Learn more about displacement here:

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I just hope this pic will help you

Answer:

Explanation:

ai. com=(67*0+179*1.25)/(179+67)=0.91m

ii. com=(67*2.5+179*1.25)/(179+67)=1.59m

b. 0.91=(67(2.5-d)+179(1.25-d))/(179+67)

   d=0.68m

c. 1.5=(67*-3+67*-4+179*v)/(67+67+179)

    v=5.24m/s

The answers to your question are ;

A) Location of the center of the mass of system when origin of coordinate system is

i) On the original location of man = 0.91 m

ii) On back end of boat = 1.59 m

B) The boat is displaced by = 0.68 m

C) speed of boat after their jump ( V ) = 5.24 m/s

Given data :

mass of man = 67 kg

mass of boat = 179 kg

length of boat = 2.5 m

assumptions : No friction/drag force

Solutions

A) determine location of center of mass

i) On the man's original location = 0

= ( mass of man * 0 + mass * 1.25 ) / ( mass of boat + mass of man)

=  ( 0 + 179 * 1.25 ) /  ( 179 + 67 )

= ( 0 + 223.75 ) / ( 246 ) = 0.9096  ≈ 0.91 m

ii) On the back end of the boat

= ( mass of man * length of boat + mass of boat * 1.25 ) / ( mass of boat + mass of man )

= (  67 * 2.5 + 179 * 1.25 ) / ( 179 + 67 )

= ( 167.5 + 223.75 ) / ( 246 ) = 1.590 m

B) By How much is the boat displaced ( d )

0.91 ( location of center of mass from man's original location )

0.91  = (  67 *  (2.5 - d) +  179 (  1.25 - d ) ) / ( 179 + 67 )

        = ( 67 * ( 2.5 - d ) + 223.75 - 179d )) / ( 246 )

∴ d ≈ 0.68 m

C) Determine speed of boat after the jump

Initial speed of boat = 1.5 m/s

hence speed after the jump ( v )

speed of first man = 3 m/s

speed of second man = 4 m/s

1.5 m/s = ( 67 * -3 + 67 * -4 + 179 * v ) / ( 67 + 67 + 179 )

           = ( - 201 + -268 + 179v ) / ( 313 )

∴ v ≈ 5.24 m/s

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iAnswer:

The resultant vector force = 6.96i - 9.27j

The magnitude = 11.6N

The direction= -53.1 °

Explanation:

i= 10×cos(30) + 15×cos(-60) + 9×cos(-90) + 12×cos(140) = 6.96

j= 10×sin(30) + 15×sin(-60) + 9×sin(-90) + 12×sin(140) = -9.27

The shortest possible distance in which she catches up with the man is 129.7 m.

The given parameters:

speed of the man, v₁ = 40 km/hr

speed of the woman, v₂ = 70 km/hr

time when the woman started moving, t₁ = 5 seconds

To find:

Convert the given speed in km/h to m/s

Calculate the distance moved by the man before she started following him.

Distance moved by the man = speed x time

                                                = 11.11 m/s  x  5 s

                                                = 55.55 m

Let the time the woman catches up with the man = t

Apply the following simple principle to calculate the time.

The man is moving forward and the woman is moving forward to close the gap between them, thus both speeds are working against each other.

[tex](v_2-v_1)t = 55.55 \ m[/tex]

[tex](19.44 - 11.11)t = 55.55\\\\8.33t = 55.55\\\\t = \frac{55.55}{8.33} \\\\t = 6.67 \ s[/tex]

The time when the woman catches up with the man = 6.67 s

The shortest distance at which the woman catches up with the man is calculated as;

Shortest distance = woman's speed x time when she catches up

                               = 19.44 m/s    x  6.67 s

                               = 129.7 m

Thus, the shortest possible distance in which she catches up with the man is 129.7 m.

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Answer:

104 km

Explanation:

Displacement = Velocity x Time

                       = 13 x 8

                       = 104 km

Explanation:

You have already determined the components of the known forces so I won't repeat your work here. Since the resultant force [tex]\vec{\textbf{R}}[/tex] and F1 are completely along the x-axis, we can conclude that

[tex]F_{2y} = F_{3y} \Rightarrow F_{3y} = F_3\cos{\theta} = 250\:\text{lb}[/tex]

We can now solve for the magnitude of [tex]F_3:[/tex]

[tex]F_3 = \sqrt{F_{3x}^2 + F_{3y}^2} = \sqrt{(467)^2 + (250)^2}[/tex]

[tex]\:\:\:\:=529.7\:\text{lb}[/tex]

The angle [tex]\theta[/tex] is then

[tex]\tan{\theta} = \dfrac{F_{3y}}{F_{3x}} = \dfrac{250}{467}[/tex]

or

[tex]\theta = 49.2°[/tex]

Explanation:

Its speed is zero at the beginning of the 3.25 s and 14 m/s at the end.

I'm thinking you probably wanted to find the car's acceleration.

Acceleration =(change in speed) / (time for the change).

Acceleration =(14m/s )/ (3.25s) .

Acceleration = 4.31m/s² .

I hope it will help you so.

Have a great day.

Be safe and be happy.

Answer:

potential energy

Explanation:

Based on energy transformation

Answer:

98.105610 Kilometers

Explanation:

Rounded to 8 digits

Answer:

98.11 km

Explanation:

60.96 mi (5280ft/mi)(12 in/ft)(2.54 cm/in)(1 m/ 100cm)(1 km/1000 m) = 98.10561024 km

however, reporting this precision to the nearest hundred millionth of a kilometer is silly as we only know the mile dimension to the nearest hundredth of a mile.

A hundredth of a mile is 5280/100 = 52.8 ft or just over 16 m

It would only be a little bit of a presumption to give our precision to the nearest 10 meters as I have done.

This also fits neatly into the significant digits rule. Both the original dimension and the converted dimension have four significant digits.

Answer:

Below

Explanation:

You can use this formula to find the average speed or velocity of an object

     speed = displacement / elapsed time

Plugging in our values....

     speed = 2500 m / 40 seconds

               = 62.5 m/s

*if your teacher required you to round to significant figures, you would round this number to 60, as 40 seconds only has 1 significant figure (the number with the least amount of sig figs determines the number of sig figs in the final answer)*

Hope this helps! Best of luck <3

Answer:

Explanation:

While each of these can cause erosion and weathering, lightning is probably the least important as it occurs less frequently and affects a much smaller surface area when it strikes.

Wind is not very effective by itself, but it can carry abrasives which work to degrade rock surfaces. It covers a very large area at once so the net effect can be moderate to large especially desert areas where plants are not readily available to disrupt the flow.

Rain covers huge areas and is quite common.

Freezing/Thawing cycles cover large areas and are quite common in the temperate and arctic latitudes and even in tropical altitudes.

Attached is a photo taken atop Half Dome in Yosemite National Park showing two of thousands of divots in the rock there caused by lightning strikes. The current in the lightning heats the stone causing water trapped in it to flash to steam. The increased pressure inside the stone can overwhelm the material strength and blow rock chunks over a fairly good sized area. This is a fairly rapid weathering and erosion when it occurs, but that is typically limited to a few dozen days per year and occurs mostly on high ground where lightning is more likely to strike earth.

Explanation:

Electricity is the flow of electrical power or charge.

Answer:

speed /wavelength = frequency

f = 3×10*8 /6.5×10*7

f = 4.62

Answer:

The three major categories of energy for electricity generation are fossil fuels (coal, natural gas, and petroleum), nuclear energy, and renewable energy sources. Most electricity is generated with steam turbines using fossil fuels, nuclear, biomass, geothermal, and solar thermal energy.

Explanation:

Solar

Wind

Geothermal

Hydrogen

TidaWave

Hydroelectric

Biomass

If the bulb's resistance doesn't change, the power it uses is proportional to the square of the voltage. So doubling the voltage quadruples the power.

On 220 V, the bulb uses (4 • 40w)= 160 W.

It glows very brightly.

For a very short time.

Because it also gets very hot, and burns out.

After a few seconds, it uses zero watts.

Answer:

160

Explanation:

Acellus

Waiting to see if the particles settle out of the mixture will be the next test to perform to determine the type of mixture.

This comprises of two or more substances which aren't chemically bonded together.

Suspension is a heterogeneous mixture that settle out of solution while colloid is a heterogeneous mixture that do not settle out of solution which is why option C was chosen.

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thanks for the points :D

Answer:

1.9 x 10⁵

Explanation:

I ASSUME your question is supposed to read

9.1 x 10⁵ – 7.2 x 10⁵ =

9.1 - 7.2 = 1.9 and the powers are the same so just tag them along

its the same as

910000 - 720000 = 190000

1.9 x 105 could be another possibility if the question is actually posed correctly.

Answer:

Due to inertia of restttttttrestrestrestrest

Answer:

(i) 20 m/s

(ii) 3.5 m/s

(iii) 6.5 m/s

(iv) 85 m/s

Explanation:

1(kilometer/hour) = 1000(meters) / 3600(seconds) can also be expressed as 1(kilometer/hour) = 5/18 (meters/second), which is its simplified form. To convert km/h to m/s, directly multiply the given value of speed by the fraction 5/18.

This information is from: https://www.cuemath.com/measurement/km-h-to-m-s/

Answer:

1) Ans= Pure substances and mixtures are the two types of matter.

2)Ans=solid ,liquid and gas are the states of matter

Answer:

John dalton discovered

Answer:

Pressure is the force divided by the area on which the force is exerted, and temperature is measured with a thermometer. We gain a better understanding of pressure and temperature from the kinetic theory of gases, which assumes that atoms and molecules are in continuous random motion.

Answer:

mass

Explanation:

The value of g (acceleration due to gravitation) is independent of the mass of the object.

Answer:

2Kg

first you find the total mass of both the person und skateboard

f = m*a

30 = m* 0.5

m= 30/ 0.5

m= 60 kg

then you subtract the mass of the person from the total mass

m1 - m2

60 - 58

= 2 kg

Taking into account the Newton's second law, the mass of the skateboard is 2 kg.

Newton's Second Law establishes the relationship between the forces acting on an object and the acceleration it experiences. This law says that the acceleration that an object experiences when subjected to a net force (force applied to the body) is proportional to that force.

Mathematically, Newton's second law is expressed as:

F= m×a

where:

In this case, you know:

Replacing:

30 N= m× 0.5 m/s²

Solving:

m= 30 N÷0.5 m/s²

m= 60 kg

The mass of the sistem is the sum of the mass of the skateboard and the mass of the mass of your body:

Mass= mass of the skateboard + mass of your body

In this case:

60 kg= mass of the skateboard + 58 kg

Solving:

mass of the skateboard= 60 kg - 58 kg

mass of the skateboard= 2 kg

Finally, the mass of the skateboard is 2 kg.

Learn more about the Newton's second law: