How does the number of valence electrons affect the reactivity?

A 2.4 kg block is dropped onto a spring and platform of negligible mass. The block is released

statuscvo [17]

The speed of the block when the compression is 15 cm is 9.85 m/s.

The given parameters;

mass of the block, m = 2.4 kg
height of the block, h = 5 m
compression of the spring, x = 25 cm = 0.25 m

The spring constant is calculated as follows;

$F = kx\\\\mg = kx\\\\k = \frac{mg}{x} \\\\k = \frac{2.4 \times 9.8}{0.25} \\\\k = 94.08 \ N/m$

The speed of the block when the compression is 15 cm can be determined by applying the principle of conservation of energy;

$\Delta K.E = \Delta P.E\\\\\frac{1}{2} m(v^2 - v_{0 }^2 ) = mgh - \frac{1}{2} kx^2\\\\\frac{1}{2} mv^2 = mgh - \frac{1}{2} kx^2\\\\mv^2 = 2mgh - kx^2\\\\v^2 = \frac{2mgh - kx^2}{m} \\\\v = \sqrt{\frac{2mgh - kx^2}{m}} \\\\v = \sqrt{\frac{(2 \times 2.4 \times 9.8 \times 5) - (94.08 \times 0.15^2)}{2.4}} \\\\v = 9.85 \ m/s$

Thus, the speed of the block when the compression is 15 cm is 9.85 m/s.

Learn more here:brainly.com/question/14289286

8 0

2 years ago

What is 56.6666666667 in scientific notation?

Dafna11 [192]

Answer:

5.67 x 10^ 1

Explanation:

Move the decimal once to the left

4 0

2 years ago

Choose the FALSE statement about a fly ball as it travels from a batter's bat to a center fielder who catches the ball.

mr Goodwill [35]

D. is the false answer!

3 0

3 years ago

Read 2 more answers

How can you use the rock cycle to explain the law of superposition?

AnnyKZ [126]

Answer: The rock cycle involves the transition of rocks from igneous to sedimentary and metamorphic

The older rock would underlie the younger, recently formed rocks

Explanation:

It has been noted by geologists that most of the oldest rocks on earth are metamorphic, this is because they have been buried to such a depth that temperature and pressure changes them.

These metamorphic rocks could be have been igneous or sedimentary, depending on their mode of formation (solidification of magma or denudation)

Metamorphic rocks can melt partially and find its way to the surface as magma, forming igneous rocks when they cool and solidify.

These igneous rocks can get exposed throught weathering, get eroded away and get deposited on another rock (either igneous, sedimentary or metamorphic) while cementation and compaction makes sure it hardens and consolidates properly

The law of superposition implies that younger rocks overlie the older ones, because they have been formed sequentially

8 0

3 years ago

The acceleration of an object (in m/s2) is given by the function a ( t ) = 7 sin ( t ) . The initial velocity of the object is v

jok3333 [9.3K]

Answer:

The answer is " $\bold{v(t) = -7 \cos (t) -3}$ "

Explanation:

Consider the function $a(t) = 7 \sin (t)$ speed for an Object , and $V(0) = -10 \frac{m}{s}$ is the initial speed of the object. Find an object-speed v(t) equation:

$\to a(t) = 7 \sin(t) \\\\\to v(t) = \int a(t) dt\\$

$= 7 \int \sin (t) dt \\\\= -7 \cos(t) + C$

Substituting the t = 0 in v(t)

$\to v(0) = - 7 \cos(0) + C \\\\\to -10 = -7(1) +C \\\\\to C = -10 +7\\\\\to C= -3$

after substituting the value C:

$= - 3 in v(t) = -7 \cos (t) +c \\\\\to v(t) = -7 \cos(t) -3$

5 0

3 years ago