In this example we will use pendulum motion to actually measure the acceleration of gravity on a different planet. An astronaut on the surface of Mars measures the frequency of oscillation of a simple pendulum consisting of a ball on the end of a string. He finds that the pendulum oscillates with a period of 1.5 s. But the acceleration due to gravity on Mars is less than that on earth, gMars=0.38gearth. Later, during a journey to another planet, the astronaut finds that his simple pendulum oscillates with a period of 0.92 s. What planet is he now on?SOLUTIONSET UP Each planet has a different value of the gravitational acceleration g near its surface. The astronaut can measure g at his location, and from this he can determine what planet he's on. First we use the information about Mars to find the length L of the string that the astronaut is swinging. Then we use that length to find the acceleration due to gravity on the unknown planet.

Answers

Answer 1
Answer:

Answer:

Explanation:

Let length of the pendulum be l . The expression for time period of pendulum is as follows

T = 2π\sqrt{(l)/(g) }

For Mars planet ,

1.5 = 2\pi\sqrt{(l)/(.38*9.8) }

For other planet

.92 = 2\pi\sqrt{(l)/(g_1) }

Squiring and dividing the two equations

(1.5^2)/(.92^2) = (g_1)/(3.8*9.8)

g_1 = 9.9

The second planet appears to be earth.


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Unpolarized light is passed through an optical filter that is oriented in the vertical direction. 1) If the incident intensity of the light is 90 W/m2, what is the intensity of the light that emerges from the filter? (Express your answer to two significant figures.)

Answers

Answer:

45 W/m^2

Explanation:

Intensity of light, Io = 90 W/m^2

According to the law of Malus

I=I_(0)Cos^(2)\theta

The average value of Cos^θ is half

So, I = Io/2

I = 90 /2

I = 45 W/m^2

Final answer:

Unpolarized light, when passed through a polarizer, reduces its intensity by half. So, the intensity if the light that emerges from a vertical filter will be 45 W/m².

Explanation:

Given that the incident intensity of the unpolarized light is 90 W/m², when passed through a vertically oriented optical filter, the emerging light will be polarized and will have its intensity halved as it's the property of a polarizing filter to decrease the intensity of unpolarized light by a factor of 2. The formula used in this process is I = Io cos² θ. In the case of unpolarized light passing through a single polarizer, θ is 0. So, the formula simplifies to I = Io/2.

Therefore, the intensity of the light that emerges from the vertically oriented optical filter is: I = 90 W/m² / 2 = 45 W/m².

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A construction foreman exerts 1300 Newtons of force trying to move a 1200-kg block of concrete. How many Joules of work does he perform?

Answers

He does no work until the block starts to move ... an unlikely event.

If it ever does move, then the work he does is

                   (1300) x (the distance the block moves, in meters) .

The unit is 'joules.

Which one of the following statements concerning the Stefan-Boltzmann equation is correct? The equation can be used to calculate the power absorbed by any surface. The equation applies only to perfect radiators. The equation applies only to perfect absorbers. The equation is valid with any temperature units. The equation describes the transport of thermal energy by conduction.

Answers

"The equation can be used to calculate the power absorbed by any surface" statement concerning the Stefan-Boltzmann equation is correct.

Answer: Option A

Explanation:

According to Stefan Boltzmann equation, the power radiated by black body radiation source is directly proportionate to the fourth power of temperature of the source. So the radiation transferred is absorbed by another surface and that absorbed power will also be equal to the fourth power of the temperature. So the equation describes the relation of net radiation loss with the change in temperature from hotter temperature to cooler temperature surface.  

                            P=e \sigma A\left(T^(4)-T_(c)^(4)\right)

So this law is application for calculating power absorbed by any surface.

What is the density, in Mg/m3, of a substance with a density of 0.14 lb/in3? (3 pts) What is the velocity, in m/sec, of a vehicle traveling 70 mi/hr?

Answers

Answer:

276.74* 10^8Mg/m^3

31.29 m/sec

Explanation:

We have given density of substance 0.14lb/in^3

We have convert this into Mg/m^3

We know that 1 lb = 0.4535 kg. so 0.14 lb = 0.14×0.4535 = 0.06349 kg

We know that 1 kg = 1000 g ( 1000 gram )

So 0.06349 kg = 63.49 gram

And we know that 1 gram = 1000 milligram

So 63.49 gram =63.49* 10^3\ Mg

We know that 1 in^3=1.6387* 10^(-5)m^3

So 0.14in^3=0.14* 1.6387* 10^(-5)=0.2294* 10^(-5)m^3

So 0.14lb/in^3 =\frac{63.49\times 10^3}{0.2249\times 10^{-5}}=276.74\times 10^8lb/m^3[/tex]

In second part we have to convert 70 mi/hr to m/sec

We know that 1 mi = 1609.34 meter

So 70 mi = 70×1609.34 = 112653.8 meter

1 hour = 3600 sec

So 70 mi/hr =(70* 1609.34meter)/(3600sec)=31.29m/sec

Can a car moving with a negative velocity moves faster than a car moving with a positive velocity? explain.

Answers

Answer:

Yes.

Explanation:

This is because "negative velocity" just means it is in the negative in relation to the point of 0. Negative velocity doesn't equal a decrease in velocity. For example lets say you were parked next to a cone (this cone represents zero) if you accelerate forwards then that would be positive acceleration. If you were to accelerate backwards, this would be in the negative direction, aka negative velocity.

SUMMARY:

A negative velocity means that the object which has the negative velocity is moving in the opposite direction of an object moving at a positive velocity. This is a question of frame of reference. The possibility for the velocity is what makes it different to the speed. Speed is only positive.

Final answer:

In physics, a negative velocity can be faster than a positive one when considering speed alone, but not when considering motion direction. For instance, if a car is moving faster but in an opposite direction, it will have a higher speed but a negative velocity.

Explanation:

In physics, the term velocity represents both the speed of an object and its direction of motion. A negative velocity simply means that the object is moving in the opposite direction of the reference point. So, a car moving with a negative velocity can 'move faster' than a car moving with positive velocity if you're considering its speed alone.

Let's assume you have Car A moving at a speed of 40 km/hr in the eastern direction (positive velocity) and Car B moving at a speed of 60 km/hr in the western direction (negative velocity). Even though Car B is described as having a negative velocity, it is moving faster than Car A in terms of speed.

However, remember that in physics, direction matters when considering velocity. So, if you compare their velocities without ignoring the direction, Car A is moving faster to the east than Car B is to the west, even if Car B has higher speed.

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Imagine two billiard balls on a pool table. Ball A has a mass of 2 kilograms and ballB has a mass of 3 kilograms. The initial velocity of ball A is 9 meters per second to
the right, and the initial velocity of the ball B is 6 meters per second to the left. The
final velocity of ball A is 9 meters per second to the left, while the final velocity of
ball B is 6 meters per second to the right.

1. Explain what happens to each ball after the collision. Why do you think this
occurs? Which of Newton’s laws does this represent?

Answers

This is an example of an elastic collision. The two objects collide and return to their original shapes and move separately. In such a collision, kinetic energy is conserved. I think we can agree that this represents Newton's third law by demonstrating conservation of momentum.

Answer:

Yes, the law of conservation of momentum is satisfied. The total momentum before the collision is 1.5 kg • m/s and the total momentum after the collision is 1.5 kg • m/s. The momentum before and after the collision is the same.

Explanation:

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