1. A pendulum is 0.25 m long. What is the frequency of its oscillations?<br> How do you solve this

Which type of erosion and deposition is most common in coastal areas around the Gulf of Mexico

Alja [10]

<span> most common in coastal areas around the gulf of mexico is mostly by river

</span>

7 0

2 years ago

The potential energy stored in the compressed spring of a dart gun, with a spring constant of 32.50 N/m, is 0.640 J. Find by how

liraira [26]

Answer:

A

$x = 0.198456 \ m$

B

$h = 1.3061 \ m$

C

$v = 5.06 \ m/s$

D

$d = 4.0273 \ m$

Explanation:

Considering the first question

From the question we are told that

The spring constant is $k = 32.50 N/m$

The potential energy is $PE = 0.640 \ J$

Generally the potential energy stored in spring is mathematically represented as $PE = \frac{1}{2} * k * x^2$

=> $0.640= \frac{1}{2} * 32.50 * x^2$

=> $x = \sqrt{0.03938}$

=> $x = 0.198456 \ m$

Considering the second question

From the question we are told that

The mass of the dart is m = 0.050 kg

Generally from the law of energy conservation

$PE = mgh$

=> $0.640 = 0.050 * 9.8 * h$

=> $h = 1.3061 \ m$

Considering the third question

The height at which the dart was fired horizontally is $H = 3.90\ m$

Generally from the law of energy conservation

$PE = KE$

Here KE is kinetic energy of the dart which is mathematical represented as

$KE = \frac{1}{2} * mv^2$

=> $0.640 = \frac{1}{2} * 0.050 * v^2$

=> $v^2 = 25.6$

=> $v = 5.06 \ m/s$

Considering the fourth question

Generally the total time of flight of the dart is mathematically represented as

$t = \frac{ 2 * H }{g}$

=> $t = \frac{ 2 * 3.90 }{9.8 }$

=> $t = 0.7959 \ s$

Generally the horizontal distance from the equilibrium position to the ground is mathematically represented as

$d = v * t$

=> $d = 5.06 * 0.7959$

=> $d = 4.0273 \ m$

5 0

2 years ago

A skater moves with 15 m/s velocity in a circle of radius circle of radius 30 m. The ice exerts a center force of 450 N. What is

wariber [46]

He Hsb hejs us su she ejjj

6 0

2 years ago

Explain why pumice floats and why ironwood sinks

almond37 [142]

Answer:

A quick way of describing density is to describe an object as heavy or light for its size. Pumice stone, unlike regular rock, does not sink in water because it has a low density. An ironwood branch is very dense and sinks in water.

Hope that helps. x

6 0

1 year ago

Read 2 more answers

There is a naturally occurring vertical electric field near the Earth’s surface that points toward the ground. In fair weather c

Neko [114]

Answer:

0.00110616446408

Explanation:

r = Radius of sphere = 11 μm

V = Volume = $\dfrac{4}{3}\pi r^3$

$\rho$ = Density of pollen = 1000 kg/m³

q = Charge = − 0.550 fC

E = Electric field = 110 N/C

g = Acceleration due to gravity = 9.81 m/s²

Mass is given by

$m=\rho V\\\Rightarrow m=1000\times \dfrac{4}{3}\pi (11\times 10^{-6})^3\ kg$

Force due to gravity is given by

$F_g=mg\\\Rightarrow F_g=1000\times \dfrac{4}{3}\pi (11\times 10^{-6})^3\times 9.81\\\Rightarrow F_g=5.4693494471\times 10^{-11}\ N$

Electric force is given by

$F_e=qE\\\Rightarrow F_e=-0.55\times 10^{-15}\times 110\\\Rightarrow F_e=-6.05\times 10^{-14}\ N$

The ratio is

$\dfrac{F_e}{F_g}=\dfrac{6.05\times 10^{-14}}{5.4693494471\times 10^{-11}}\\\Rightarrow \dfrac{F_e}{F_g}=0.00110616446408$

The ratio is 0.00110616446408

7 0

3 years ago

1. A pendulum is 0.25 m long. What is the frequency of its oscillations? How do you solve this