A man with 60 years to live wants to visit a distant Galaxy which is 160,000 light years away. What must be his constant speed?

The liquid's surface tension in N/m is determined as 0.25 N/m.

Surface tension is defined as the property of the surface of a liquid that allows it to resist an external force, due to the cohesive nature of its molecules.

Mathematically, the formula for surface tension of a liquid is given as;

γ = F/L

γ = F/2x

where;

From Hooke's law, the force applied on an elastic material is directly proportional to the extension of the material.

F = kx

where;

The final equation for the surface tension of the liquid film becomes;

γ = F/2x

γ = kx/2x

γ = k/2

γ = (0.5 N/m) / 2

γ = 0.25 N/m

Thus, the surface tension of a liquid depends on the applied force and length of the liquid surface.

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Answer:

interna

Explanation:

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The motion of the ball is translational and rotational.

Rotational motion because the ball is continuously rolling along its axis.

Translational motion because the ball is also moving forward and not just rotating at a fixed place.

But all these have a force acting on it that affects the motion of the ball.

The forces are :

"Normal Force,"

"Gravity Force,"

"Force Friction,"

"Applied Force."

It is due to the result of the friction, which causes the ball to stop.

The reason the ball rolls is due to the force that is imparted to it.

Therefore, the motion of the ball is fully under the control of forces acting on all the sides of the ball.

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Answer:

60*12.0= 720 = v/60 * 12.0 squared which is 1,728

Explanation:

Horizontal velocity component: Vx = V * cos(α)

The horizontal velocity of the projectile is 6.0m/s

If a projectile is launched at an angle from the horizontal and at a velocity v, the horizontal velocity of the projectile is expressed as:

\(v_x =vcos \theta\)

Given the following parameters

v = 12.0m/s

\(\theta=60^0\)

Substitute the given parameters into the formula to have:

\(v_x=12.0cos60\\v_x=12.0(0.5)\\v_x=6.0m/s\\\)

Hence the horizontal velocity of the projectile is 6.0m/s

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yes ,each piece will remain a magnet because the small pieces will cut into north and south

The rests of a transverse wave are like the compression of the longitudinal waves.

In terms of physics, a transverse wave refers to the wave where  oscillations should be perpendicular to the direction of the wave's in advance. This is in contrast to a longitudinal wave that travels in the direction of its oscillations.

Therefore, we can conclude that The rests of a transverse wave are like the compression of the longitudinal waves.

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Answer:

Explanation:

Hydrogen nuclei fuse to form a larger nucleus, and a small amount of mass is converted into energy.

The mass difference between a helium nucleus and four hydrogen nuclei is 0.7%; this mass difference is transformed into energy during the fusion process. Each mole of He42 created as a result of this reaction generates around 3.6 1011 kJ of energy. Thus, option A is correct.

Hydrogen is exhausted during the fusion of hydrogen nuclei, which creates helium and energy. The process's fuel is hydrogen. The star's core condenses and heats up further as the hydrogen is consumed.

For instance, 0.645% of the mass is lost during the fusion of two hydrogen atoms to create helium in the form of electromagnetic radiation or the kinetic energy of an alpha particle. Even those of the lightest element, hydrogen, require a significant amount of energy to get their nuclei to fuse.

Due to this, heavier and heavier elements are encouraged to fuse together, eventually creating all the elements up to iron.

Therefore, Hydrogen nuclei fuse to form a larger nucleus, and a small amount of mass is converted into energy.

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Answer:

51.38m/s

Explanation:

displacement=initial speed×time+1/2acceleration×time^2

s=ut+1/2at^2

500=9.5u+1/2×2.5×9.5

divide everything by 9.5 and minus 2.5×1/2

500/9.5-1/2×2.5=u

u=51.38m/s

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forces: forces applied to an object in opposite directions that are not equal in size. Unbalanced forces result in a change in motion. friction: the force that opposes the motion or tendency toward motion of two objects that are in contact.

The volume of the gas at standard temperature and pressure (STP) is 1,239.2 L.

The given parameters;

The volume of the gas at standard condition is calculated by applying general gas law as shown below;

\(\frac{PV}{T} = \frac{P_1V_1}{T_1} \\\\V = \frac{P_1V_1T}{T_1P} \\\\V = \frac{140 \times 9.5 \times 273}{293 \times 1} \\\\V = 1,239.2 \ L\)

Thus, the volume of the gas at standard temperature and pressure (STP) is 1,239.2 L.

"Your question is not complete, it seems be missing the following information;"

A compressed air tank carried by scuba divers has a volume of 9.5 L and a pressure of 140 atm at 20∘C.

If the gas was instead in a cylinder with a floating, massless, frictionless piston, what would the volume of the gas be (in liters) at STP.

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ANSWER

10.80 m/s

EXPLANATION

Given:

• The student's displacement, Δx = 27.00 m

• The time it took the student to run that distance, Δt = 2.50 s

Find:

• The student's average velocity, v

The average velocity is given by,

Substitute the known values and solve,

Hence, the average velocity of the student is 10.80 m/s.

Answer:

D. The object moves away from the origin at a speed of 3 m/s, stands still 6 m away from the origin for 3 seconds, then moves toward the origin at a speed of 2 m/s.

Explanation:

I just got it right lol

The material that obeys Hooke's law is elastic material.

Hooke's Law says that the force needed to extend or compress a spring by some distance scales linearly with respect to that distance. And it is known for the formula  F = kX

F is the force, x is the deformation, and k is the spring constant.

Elastic materials are able to return to their original shape after being deformed by a force.

The amount of deformation is noted to be directly proportional to the amount of force applied.

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Answer:

V=0.38 m/s

Explanation:

ac=3 m/s^2

m=2000kg

r=100m

ac=mv^2/r

Solve for v^2

3=2000(v^2)/100

3=20v^2

3/20=.15

sqrt of .15= 0.38 m/s

V=0.38 m/s

Answer:

This question heavily relies on the weight of the table and the weight of the person sitting on it, if a 90 pound person sits on the side of a 40 pound table, it will topple over.

Explanation: Tables are generally have a 50/50 weight distribution ratio so that they are even on the ground and can stay upright, but if a table is too light and the person or object sitting on it is heavier than the side they/it is placed on, it will fall.

The power at which the crane operates, if it can lift a mass of 500 kg is 1225 Watts.

Power is the rate at which work is done.

To calculate the power the crane operates with, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the right option is B. 1225 Watts.

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If I had the opportunity to travel in time and take a single technological device to the past, I would take one of these devices;

Many would be the technological devices that would take to the past, some of the main ones would be:

¡Hope this helped!

The unit vector normal to the plane is determined as (i  - 4j  -  13k) / √186.  

Option  B.

The magnitude of the cross product of a→ and b→, is determined as follows;

|a→ × b→| = (3i +4j -k) × (i- 3j + k )

= [i       j       k]

  [3     4      -1]

  [1     -3       1]

The cross product of the vectors is calculated as follows;

= i (4 - 3) - j(3 - - 1)  + k (-9 - 4)

= i  - 4j  -  13k

The magnitude of the vector is calculated as follows;

|n| = √ (1² + 4² + 13²)

|n| = √186

The unit vector normal to the plane is calculated as follows;

n = (i  - 4j  -  13k) / √186

Thus, the unit vector normal to the plane is determined as (i  - 4j  -  13k) / √186.   The answer is B.

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The energies that the ball possess when it is in rest at the top of the hill is electrostatic  potential energy. When the ball at the level ground, it has gravitational potential energy and when it at the half way down hill , it possess rotational kinetic energy.

Potential energy of a body is generated by virtue of its position. When the object is placed at rest on the surface the gravitational field, the stored energy is called gravitational potential energy.

When the object starts to move it gains kinetic energy.  When the ball is at rest on the top of the hill it has the electrostatic potential energy. When starts to roll to the ground , then its potential energy converts to rotational kinetic energy.

When, the ball reaches the ground its kinetic energy again transforms to potential energy where the ball is falling down to the gravitational field and thus it possess gravitational potential energy.

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If the cells are in parallel, they form a battery of 1.5V with the ability to deliver 4 times as much current as one cell can.

If the cells are in series, they form a battery of 6.0V.

The resultant of two displacement vectors having opposite directions is the difference of the two displacements, having the same direction as the smaller vector.

When two displacement vectors have opposite directions, it means they are pointing in opposite ways. In other words, one vector is in the opposite direction of the other. To find the resultant of these vectors, we need to subtract one vector from the other.

If we consider two displacement vectors, let's say vector A and vector B, and they have opposite directions, we can represent them as A and -B.

To find the resultant, we subtract vector B from vector A: A - (-B) or A + B.

The resultant will have the same direction as the smaller vector. This is because when we subtract a larger vector from a smaller vector, the resultant will have the direction of the smaller vector.

Therefore, the correct option is: "The resultant is the difference of the two displacements, having the same direction as the smaller vector."

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Hi! digital forensics is important because not only does digital forensics allow cyber security organisations to develop technologies that can prevent hackers from accessing devices, websites and networks but can lead businesses in the direction of understanding exactly what data is compromised.

The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.

The p-waves travel with a constant velocity of 7 km/s

The time can be calculated by using the formula

t = d / v

where

T1 =  10:05 a.m

d is the distance they take to travel from the epicenter

v is the speed of the p-waves

On average, the speed of p-waves is

v = 7 km/s

d = 5600 km (given)

Substituting the values in the formula;

t = d / v

t = 5600 ÷ 7

t = 800 seconds

Converting into minutes,

t = 800 ÷ 60

t = 13.3

≈ 13 mins

T1 -  13 mins = T2

10:05 - 13 mins = 9.52 am

It means the earthquake occurred prior 13 minutes, that is at 9.52 am.

Therefore, the earthquake occurred at 9.52 am.

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Answer:

428.9 m/s    

Explanation:

Vf = at = 49.3 m/s^2  * 8.7 s = 428.9 m/s

The electric force that acts on the particle is 1.90 × 10^-6 N.

The electric force F on a charged particle in a uniform electric field E is given by the formula:

F = qE

where;

In this case, the charge of the particle is +7.90 nC, which is equivalent to +7.90 × 10^-9 C. The electric field has a magnitude of 240 N/C and is directed to the right.

So, the electric force acting on the particle is:

F = qE

= (+7.90 × 10^-9 C)(240 N/C)

= +1.90 × 10^-6 N

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The complete question is below:

a uniform electric field has magnitude 240 n/c and is directly to the right. A particle with charge +7.90 nC moves in this field along a straight line from a to b. Find the electric force that acts on the particle.

Answer:

The speed of light is much faster than the speed of sound in air.

Explanation:

thousand miles in 1 second, while sound takes almost 5 seconds to travel 1 mile.

Hooke's Law can be given as follows sometimes:

The restoring force of a spring is equal to the spring constant multiplied by the displacement from its normal position:

F = -kx

Where, F = Restoring force of a spring (Newtons, N)

k = Spring constant (N/m)

x = Displacement of the spring (m)

The negative sign relates to the direction of the applied force and by convention, the minus or negative sign is present in F = -kx. The restoring force F is directly proportional to the displacement (x), according to Hooke's law. When the spring is compressed, the displacement (x) is negative. It is zero when the spring is at its original length and positive when the spring is extended.

Practically, Hooke's Law is applicable only within a limited frame of reference, and through experimenting, this statement proves to be true. Because materials cannot be compressed beyond a certain size or expanded beyond a certain size without some permanent deformation or change of their original state.

The law only applies under some conditions such as a limited amount of force or deformation. Factually, many materials will noticeably deviate from Hooke's law even before those elastic limits are reached.

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Answer:

E=720,5 N/C

H=0,24mm

Explanation: