If you wanted to do calculations with speed (distance/time), which base units would you use

The frequency of a person's pendulum is 0.3204 Hz when at a location where g is known to be exactly 9.800 m/s^2.

wel

Answer:

A) g = 9.751 m/s², B) h = 2.573 10⁴ m

Explanation:

The angular velocity of a pendulum is

w = √ g / L

Angular velocity and frequency are related.

w = 2π f

f = 1 / 2π √ g / L

A) with the initial data we can look for the pendulum length

L = 1 /4π² g / f²

L = 1 /4π² 9,800 / 0.3204²

L = 2.4181 m

The length of the pendulum does not change, let's look for the value of g for the new location

g = 4π² f² L

g = 4π² 0.3196² 2.4181

g = 9.75096 m / s²

g = 9.751 m/s²

B) The value of the acceleration of gravity can be found with the law of universal gravitation

F = G m M / $R_{e}$ ²

And Newton's second law

W = m g

W = F

G m M / $R_{e}$ ² = mg

g = G M / $R_{e}$ ²

$R_{e}$ ² = G M / g

Let's calculate

$R_{e}$ ² = 6.67 10⁻¹¹ 5.98 10²⁴ /9.75096

R = √ 4.0905 10¹³ = √ 40.9053 10¹²

R = 6.395726 10⁶ m

The height above sea level is

h = R - [tex]R_{e}[/tex

h = (6.395726 -6.37) 10⁶

h = 0.0257256 106

h = 2.573 10⁴ m

7 0

3 years ago

Part C: Quantitative Problems when vf is not 0

Alina [70]

Answer:

(a)

$\triangle v=-8\ m/s\\\triangle mv=-56\ kg.m/s$

(b)

1120 N

Explanation:

Change in velocity, $\triangle v$ is given by subtracting the initial velocity from the final velocity and expressed as $\triangle v= v_f -v_i$

Where v represent the velocity and subscripts f and i represent final and initial respectively. Since the ball finally comes to rest, its final velocity is zero. Substituting 0 for final velocity and the given figure of 8 m/s for initial velocity then the change in velocity is given by

$\triangle v=0-8=-8\ m/s$

To find $m\triangle v$ then we substitute 7 kg for m and -8 m/s for $\triangle v$ therefore $\triangle\ v=7 Kg\times -8 m/s=-56\ Kg.m/s$

(b)

The impact force, F is given as the product of mass and acceleration. Here, acceleration is given by dividing the change in velocity by time ie

$a=\frac {\triangle v}{t}=\frac { v_f -v_i}{t}$

Substituting t with 0.05 s then $a=\frac {\triangle v}{t}=\frac { v_f -v_i}{t}=\frac {-8}{0.05}=-160 m/s^{2}$

Since F=ma then substituting m with 7 Kg we get that F=7*-160=-1120 N

Therefore, the impact force is equivalent to 1120 N

3 0

3 years ago

Starting the moon's cycle with the new moon phase, what phase will it be in after about a week?

sergey [27]

The waxing crescent moon I believe

5 0

3 years ago

Two speakers, one directly behind the other, are each generating a 280-Hz sound wave. What is the smallest separation distance b

Annette [7]

Answer:

1.21m

Explanation:

If two speakers are generating a frequency of 280Hz, the smallest separation distance between the speakers that will produce destructive interference at a listener standing in front of them is also known as the wavelength of the sound wave generated.

Using the expression;

Velocity v = frequency f × wavelength ¶

Given frequency = 280Hz, speed of sound v = 338m/s

Substituting this data's in the expression given to get the wavelength will give;

¶ = v/f

¶ = 338/280

¶ = 1.21m

The smallest separation between the speakers that will produce the interference is 1.21m

4 0

3 years ago

Which type of map would you most likely use to locate mineral deposits? A. topographic B. geologic C. satellite D. hazard

qwelly [4]

I think you would be using a topographic Map, So the answer should be A

3 0

2 years ago