Tsunami waves generally carry a mass (m) of 770 kg of water, travel at a velocity (v) of approximately 10 m/s and have a height (h) of 10 m at landfall. The colony structures can withstand a total energy (TE) 135,000 J before catastrophic damage occurs.ANSWER (a) AND (b)(a) Using your answers from #4 and #5 calculate the total energy (TE) of a tsunami wave. TE = KE + PE (b) Using your calculations and the provided data, explain to the colonizing council whether this crash site can be used to start a colony.

Given,

The current drawn by the contact lens heating unit, I=0.05 A

The supply voltage, V=197 V

The electric power is given by the product of the current drawn and the supply voltage.

Thus the power used by the given device is given by,

On substituting the known values,

Thus the power used by the contact lens heating unit is 9.85 W

Given:

The weight of John Glenn, w=640 N

To find:

a) The weight if the distance was twice that of the initial value.

b) Why is an astronaut never weightless.

Explanation:

a)

Let the distance between the spacecraft and the earth be r.

If it becomes twice, then the distance is 2r.

The initial gravitational force on John Glenn is,

Where G is the gravitational constant, M is the mass of the earth and m is the mass of John Glenn.

The force when the distance is twice,

On substituting the known values,

b)

Even when the astronaut is in space they still have the mass and so does the earth. Thus there will always be a gravitational force of attraction between the earth and the astronaut. The astronaut does not feel the weight because there will be nothing in space that pushes them back. That is why an astronaut is never truly weightless.

Final answer:

a) Thus the weight of John Glenn will be 160 N

Explanation:

The Intimate Relationship Between Fitness and Sleep

*“If you don’t sleep, you undermine your body,” says W. Christopher Winter, MD, the president of Charlottesville Neurology and Sleep Medicine and the author of "The Sleep Solution: Why Your Sleep Is Broken and How to Fix It."

When it comes to working out, you know that what you do in the gym is important. But what you do outside the gym — what you eat, what you drink, and especially how you sleep, is just as crucial. In fact, you must sleep in order for exercise to actually work.

“We exercise for a purpose: for cardiovascular health, to increase lean muscle mass, to improve endurance, and more. All of these 'goals' require sleep,” says W. Christopher Winter, MD, the president of Charlottesville Neurology and Sleep Medicine and the author of The Sleep Solution: Why Your Sleep Is Broken and How to Fix It.

In other words, without sleep, exercise does not deliver those benefits, Dr. Winter explains. “If you don’t sleep, you undermine your body.”

Since the runner completes 1 lap in 314 seconds, and its velocity is 3.1m/s, then the total distance covered in 1 lap is:

That distance corresponds to the perimeter of the circumference. The perimeter of a circumference with radius r is 2πr. Then:

The centripetal acceleration of an object in a circular trajectory with radius r and speed v is:

Replace v=3.1m/s and r=154.9m to find the centripetal acceleration:

Therefore, the radius of the track is approximately 155m and the centripetal acceleration of the runner is approximately 0.062 m/s^2.

The tension TB in the cable makes an angle of 40 ∘ and  the tension TA in the horizontal cable

This is further explained below.

Generally, To represent tension in a vertical direction, the term is:

[tex]T_B=\frac{m g}{\cos \theta}[/tex]

Substitute $3860kg for m, 9.8m/s^2 for g, and 40^0 for [tex]\theta[/tex].

[tex]T_B &=\frac{(3860 \mathrm{~kg})\left(9.8 \mathrm{~m} / \mathrm{s}^2\right)}{\cos 40^{\circ}} \\[/tex]

=49380.9N

Because the cosine of the tension in the cable, which is pushing up on the item, is equal to the weight force, which is pressing down on the ground, the ball is not moving and is thus in equilibrium.

The expression for the horizontal cable tension is,

[tex]T_A=T_B \sin \theta[/tex]

Substitute $49380.9N for T_B and $40^o for [tex]\theta[/tex]

[tex]T_A &=(49380.9 \mathrm{~N}) \sin 40^{\circ}[/tex]

=31741.4N

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The magnitude of the gravitational field on the surface of the planet mercury is 3.82 m/s²

The mass of mercury, m = 3.3×10²³ kg

The radius, r = 2400 km

r = 2400 x 1000m

r = 2.4 x 10⁶m

Note that the magnitude of the gravitational field on the surface of the planet is the acceleration due to gravity on that planet

It is given by the formula:

Substitute the values of G, m, and r into the formula above

The magnitude of the gravitational field on the surface of the planet mercury is 3.82 m/s²

We are asked to write shortened notation for the ion symbol next to each element given below.

Convention:

First of all, write the shortened notation of the element.

The superscript (at the top) is the number of charges on the ion and also a + sign for a positive ion and - sign for a negative ion.

When an atom loses an electron then the charge is positive (+).

When an atom gains an electron then the charge is negative (-)

A.) Calcium loses 2 negative electrons

Since it loses 2 electrons it will have 2+ superscript.

Calcium has an atomic number of 20 (the number of protons)

B.) Chlorine gains 1 negative electron

Since it gains 1 electron it will have - superscript (we don't write 1 when the charge is 1)

Chlorine has an atomic number of 17 (the number of protons)

C.) Hydrogen gains 1 negative electron

Since it gains 1 electron it will have - superscript

Hydrogen has an atomic number of 1 (the number of protons)

To find the order of magnitude we move the decimal point until we have only one interger before it:

Now that we have in this form we conclude that the order of magnitude of the number is 24

If a student bikes at a pace of 5.0 m/s down a straight route. The student's bicycle weighs 120 kg in total. The pupil puts on the brakes and comes to a stop. The average braking force of the automobile would be 150 newtons if the stopping distance were 10 meters.

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

Work done by the braking force of the cycle   = change in kinetic energy of the student

Force  × distance  = 1/2 × mass × velocity²

F = 0.5 x 120 x 5² / 10

F = 150 Newtons

Thus, the average braking force of the cycle would be  150 Newtons.

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Based on the given question, the final velocity of the penny is 68.6m/s

Based on the definition of velocity, we can see that it has to do with the speed at which an object moves with at a particular direction.

If we observe the 1st law of motion:

v = u + gt

Where:

v = final velocity

u = initial velocity

g = acceleration due to gravity

t = time taken

We need to find the velocity as it was not given.

We already know that

u = 0 (it was at rest),

t = 7s

v = unknown

Let us put in the given values based on the equation and solve for the answer.

v = u + gt

v = 0 + ( 9.8m / s ² × 7.00s )

v = 9.8m / s ² × 7.00s

v = 68.6m/s

Therefore, the final velocity of the penny is 68.6m/s

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A penny is dropped from a building, and it takes 7 seconds to hit the ground, so the final velocity will be 68.6 m/s.

The ratio of displacement to time is referred to as velocity of the object. It has SI unit meter per second or m/s and has a dimension formula LT⁻¹.

We already know that

Initial speed, u = 0

Time, t = 7 seconds

Use the equation of motion to find the final velocity,

v = u + gt

v = 0 + ( 9.8 m / s ² × 7.00s )

v = 9.8 m / s ² × 7.00s

v = 68.6 m/s

Hence, the penny hit the ground with a final velocity of  68.6 m/s.

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Given:

Car A is traveling with a constant velocity of,

The initial speed of car B is,

After t=4 s, carB's speed is,

To find:

Which car has a greater acceleration

Explanation:

The acceleration of Car A is Zero as there is no change in velocity with time.

The acceleration of car B is,

So, Car B has greater acceleration.

Hence, Car B has greater acceleration.

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following multiplication:

When pushing a toy truck up an inclined plane, the force that makes the truck goes up is the force that the child uses to push the truck. (The force that pushes

Therefore the correct option is C.

Answer:

Explanation:

Given:

V₀ = 0 m/s

V = 20m/s

t = 5 s

___________

a - ?

The acceleration:

[tex]a = \frac{(V -V_{0} )}{t} \\\\[/tex]

[tex]a=\frac{(20 - 0)}{5} = 4 \frac{m}{s^{2} } \\[/tex]

It is helpful to break vectors into their horizontal and vertical components before adding vectors because it helps to simplify calculations.

A vector at an angle will have both horizontal and vertical component in it. So resolving the vector into its horizontal and vertical components makes it easier and clearer to solve both the components separately.

Solving the components is done using trigonometry ratios and Pythagoras theorem. Some of the trigonometric ratios used are:

sin θ = Vertical component / Actual vector

cos θ = Horizontal component  / Actual vector

tan θ = Vertical component / Horizontal component

Therefore, it is helpful to break vectors into their horizontal and vertical components before adding vectors because it helps to simplify calculations.

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Given:

The weight of the proton is: W = 1.6 × 10^(-26) N.

The charge on a proton is: q = 1.60 × 10^(-19) C

To find:

The magnitude and the direction of the electric field.

Explanation:

The weight of the proton is the force that the proton experiences due to its mass and acceleration. The electric force balances the weight of the proton. Thus we have,

F = W

Here, F is the electric force a proton experiences when it is placed in an electric field and W is the weight of the proton,

The force experienced by a photon when it is placed in an electric field is given as,

Here, E is the electric field.

Rearranging the above equation and substituting the values, we get:

Thus, the magnitude of the electric field is 1.025 × 10^(-7) N/C.

The charge on the proton is positive and when it is placed in the electric field, the electric force on the proton is balanced by the weight of the proton. Thus, The direction of the electric force is opposite to the direction of the weight of the proton which is radially outward.

Final answer:

The magnitude of the electric field is 1.025 × 10^(-7) N/C and it has a radially outward direction that is opposite to the wight of the proton.

Given data:

The voltage can be expressed as,

v = 520 sin (30t - 5π/4) ...... (1)

Now, the general equation of the sine wave can be given as,

Here,

is the phase angle,

is the maximum voltage, and

is the angular frequency.

Compare equations (1) and (2), we get:

Thus, the phase angle is

and the first option (-225 degrees) is correct.

ANSWERS

a. f₁ = 380 Hz; f₂ = 760 Hz; f₃ = 1140 Hz

b. f₁ = 190 Hz; f₃ = 570 Hz; f₅ = 950 Hz

EXPLANATION

a. For a pipe of length L open at both ends, the frequencies of the first three harmonics are:

Assuming that the speed of the wave is the speed of sound: 343 m/s and knowing that the length of the pipe is L = 45.132 cm = 0.45132 m we can find the frequencies of the first three harmonics:

b. For a pipe of length L closed at one end and open at the other, the frequencies of the first three harmonics are:

In a closed pipe, there can only be odd harmonics (1, 3, 5...). Therefore, the second harmonic does not exist and the "third harmonic" would be the 5th,

Again, the length of the pipe is 45.132 cm = 0.45132 m, so the first three harmonics are:

The hiker made it to a safe landing on the other side of the gap after travelling horizontally at 2.49 m.

The time taken for the hiker to fall from the given height is calculated as follows;

h = vt + ¹/₂gt²

where;

h = ¹/₂gt²

t = √(2h/g)

t = √[(2 x 0.6) / (9.8)]

t = 0.35 seconds

The horizontal velocity of the hiker during the period of acceleration is calculated as follows;

Vₓ = at

Vₓ = (5.92 m/s²) x (1.2 s)

Vₓ = 7.104 m/s

The horizontal distance travelled during the time period of 0.35 seconds;

X = Vₓt

X = 7.104 x 0.35

X = 2.49 m

Thus, the hiker made it to a safe landing on the other side of the gap which is 2.3 m wide and smaller to his horizontal displacement of 2.49 m.

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Given that a box is standing on a conveyor belt that is not in motion.

When the belt starts moving with some acceleration, the box starts moving too without slipping.

Let's determine the force that is responsible for the acceleration of the box.

Here, since the box starts moving without slipping when the belt starts moving, there will be static friction between the box and the belt since the belt was fixed.

Now, the force which is responsible for the acceleration of the box will be the force of gravity and the normal force.

Applying the Newton's second law, if the there is only force of gravity and the normal force acting on the box, there will be zero horizontal acceleration.

In order for the box to accelerate without slipping, the force responsible will be the static frictional force.

ANSWER:

c. The force of friction.

First, consider that the distance traveled by the car in 0.75s is:

Convert 90km/h to m/s as follow:

Then, the distance x is:

Then, when the driver start to apply the brakes, the distance to the barrier is:

x' = 40.0 m - 18.75 m = 21.25 m

Next, calculate the distance that the car need to stop completely, by using the following formula:

where,

v: final velocity = 0m/s (the car stops)

vo: initial velocity = 25m/s

a: acceleration = 10m/s^2

d: distance = ?

Solve the previous equation for d and replace the values of the other parameters:

Then, the drive needs 31.25 m to stop. If you compare the previous result with the distance of the car related to the barrier when the driver applies the brakes

(x' = 18.75 m), you can notice that d is greater than x'.

Hence, the car does hit the barrier.

d.D

Explanation

A lever is a simple machine made of a rigid beam and a fulcrum.

where

the Load is the object which we are lifting,Fulcrum is the point at which the lever is pivoted. and Effort is he force applied to make the object move

Step 1

check for the graph that:

the lifting length goes from the fulcrum to the load

and

the effort length goes from the fulcrum to the applied force,

therefore,

the answer is

d.D

I hope this helps you

The density is given by:

where V is the volume and m is the mass.

To determine the mass we have to solve the equation for m:

Now, before we can calculate the mass we have to convert the volume given to cubic meter, this comes from the fact that the density is given in g/cm^3 units. We have to remember that a ft is equal to 30.48 cm, then we have:

Hence the volume of the iceberg is:

Now that we have the volume in the correct units we plug its value and the density in the equation for the mass above:

Hence the mass of the iceber is 2.32x10^8 g.

Therefore the mass of the iceberg in kilograms is:

Yes, the given statement is true.

The period of a simple harmonic oscillator is the time it takes for one complete cycle of oscillation to be completed.

The rate of heat transfer from each foot to keep the top of the ceramic and carpet at the desired temperature is 27.6 J/s.

Thermal heat transfer is defined as the movement of heat across the border of the system due to a difference in temperature between the system and its surroundings.

The rate at which heat transfer occurs from each foot to keep the top of the ceramic and carpet at the given temperature is calculated as follows;

Q/t = kA(T₂ - T₁)/d

where;

Q/t is the rate of heat transfer

The heat transfer coefficient of human skin = 0.3 W / m⁰C

Area = 80 cm² = 0.008 m²

thickness, d = 2 cm = 0.02 m

change in temperature, = 33⁰ C - 10 ⁰C = 23 ⁰C

Q/t = (0.3 x 0.008 x 23) / (0.002)

Q/t = 27.6 W = 27.6 J/s

Thus, the rate of heat transfer from each foot to keep the top of the ceramic and carpet at the desired temperature is 27.6 J/s.

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The distance between the points X and Y is,

The time taken to move the distance is,

The velocity is given by,

Hence the velocity is 12.5 m/s.

ANSWER

Weigh a piece of the material, drop it in water and weigh the amount of water displaced. Specific gravity is the quotient between the mass of the mineral and the mass of water.

EXPLANATION

The specific gravity is the ratio of the mineral's density to the density of water at 23°C,

Density, denoted with the greek letter ρ, is the ratio between the mass and volume of the substance,

If the mineral is a solid piece, we can weigh it - so we know the mass, and can find its volume by dropping it into water. Then, if we weigh the amount of water displaced, we have the mass of water as well - by Archimedes principle, the volume of water will be the volume of the object,

The difference in length between the two rods = 0.0025m

Linear expansivity of a material is given by the formula:

For the Aluminium rod:

For the Nickel rod:

The difference in length between the two rods will be given as:

The difference in length between the two rods = 0.0025m