How many electrons can a nucleas hold

A mass of 8kg is suspended from a spring with a spring constant of 16N/m and then released, creating periodic motion. At what di

umka21 [38]

The spring will come to rest 4.9 m below the natural length

Explanation:

The mass-spring system will come to rest when the restoring force on the spring (pulling upward) balances the weight of the mass (pulling downward). Mathematically, this can be written as

$F_x = W\\kx = mg$

where

k is the spring constant

x is the elongation of the spring

m is the mass

g is the acceleration of gravity

In this problem, we have:

$m = 8 kg$ is the mass

$g=9.8 m/s^2$ is the acceleration of gravity

$k=16 N/m$ is the spring constant

Solving the equation for x,

$x=\frac{(8)(9.8)}{16}=4.9 m$

Therefore, the spring will come to rest 4.9 m below the natural length.

Learn more about forces:

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7 0

2 years ago

A probe orbiting Venus exerts a gravitational force of 2.58 × 10^3 N on Venus. Venus has a mass of 4.87 × 10^24 kg. The mass of

Crazy boy [7]

So this is the info that's given to us:
m1 = 4.87 x 10^24 kg
m2 = 4.87 x 10^24kg
F = 2.58 x 10^3 N

Now we can use this equation to solve: $f_g= \frac{Gm_1m_2}{r^2}$

You may be asking what g is. Well, it is equal to 6.67x10^-11 m3 /kg s2. G is gravitational constant. So :

$2.58 x 10^3 = \frac{6.67x10^{-11} * 4.87 x 10^{24} * 655}{r^{2}}$

As you can see we only have one variable, so we solve for r!

$r = 9.08 x 10^6 km$

I hope this helps you out. I remember when I was first learning Newton's law<span> of universal </span><span>gravitation and I had some trouble. But with some practice, I got better. =) </span>

6 0

3 years ago

Colton the Insulator of electricty.

maria [59]

Answer:

lemon juice , vinegar

Explanation:

Chemical Effects of Electric Current

Two substances other than water which conducts electricity are: (i) Lemon juice. (ii) Vinegar.

3 0

2 years ago

A batter hits a ball and it is caught 4 seconds later 100 m from home plate. What is the initial velocity (vector!!!) of the bal

Eddi Din [679]

Answer:

The initial velocity vector of the ball is;

$\underset{u}{\rightarrow}$ = 25·i + 19.6·j

Explanation:

The given parameters are;

The time of flight of the ball = 4 seconds

The horizontal distance from the plate at which the ball is caught = 100 m

Let 'u', represent the initial velocity, we have;

u × cos(θ) × t = u × cos(θ) × 4 s = 100 m

u × cos(θ) = 25 m/s...(1)

$t = \dfrac{2 \cdot u \cdot sin(\theta)}{g} = \dfrac{2 \cdot u \cdot sin(\theta)}{9.8 \ m/s^2} = 4 \ seconds$

∴ 2·u·sin(θ) = 9.8 m/s² × 4 s = 39.2 m/s

$\therefore \dfrac{2 \cdot u \cdot sin(\theta)}{u \cdot cos(\theta)} = 2 \cdot tan(\theta) = \dfrac{39.2 \ m/s}{25 \ m/s} = 1.568$

tan(θ) = 1.568/2 = 0.784

θ = arctan(0.784) ≈ 38.096°

The direction of the velocity vector of the ball, θ ≈ 38.096°

From equation (1), we have;

u × cos(θ) = 25 m/s

∴ u = 25 m/s/cos(θ) = 25 m/s/cos(arctan(0.784)) = 31.7672787629 m/s

The magnitude of the initial velocity vector, u = 31.7672787629 m/s

The vertical component of the initial velocity, $u_y$ = u × sin(θ)

∴ $u_y$ = 31.7672787629 × sin(arctan(0.784))

Therefore, the initial velocity vector of the ball is approximately, v = 31.767 m/s in a direction 38.096° above the horizontal, from which we have;

u = uₓ·i + $u_y$ ·j = 25·i + 19.6·j

$\underset{u}{\rightarrow}$ = 25·i + 19.6·j

4 0

2 years ago

Which is not a branch of natural science: biology, chemistry, physics, psychology?

eduard

Psychology isn't a natural science

6 0

3 years ago

Read 2 more answers