Physics, 31.03.2020 02:37 medellincolombia99

A block of mass 3.5 kg, sliding on a horizontal plane, is released with a velocity of 3.3 m/s. The blocks slides and stops at a distance of 1.6 m beyond the point where it was released. How far would the block have slid if its initial velocity were quadrupled

Answers: 3

Show answers

Answers

Answer from: maisonsuperman5321

If the initial velocity were quadrupled the block would slide a distance of $\Delta x_{2} =25.6\ m$ .

Explanation:

We are told the mass of the block is $m=3.5\ kg$ , the initial velocity in the first case is $v_{i}=3.3\ \frac{m}{s}$ , the final velocity is $v_{f}=0\ \frac{m}{s}$ and the distance at which the block stops in the first case is $\Delta x_{1}=1.6\ m$ .

In the second case we are told the initial velocity is quadrupled.

Because the block doesn't move in the vertical direction the sum of forces is:

$F_{normal}-F_{weight}=0\ \Longrightarrow\ F_{normal}=F_{weight}=m.g$

$F_{normal}=m.g=3.5\ kg.\ 9.8\frac{m}{s^{2}}\ \Longrightarrow\ F_{normal}=34.3\ N$

In the horizontal direction the only force we have is the force of kinetic friction is $F_{friction}=\mu_{d}.\ F_{normal}$ . We don't know the value of the coefficient of kinetic friction $\mu_{d}$ but this force is the same in both cases.

We use that the change in kinetic energy is equal to the work done by $F_{friction}$ :

$W=\Delta K$

$-F_{friction}.\ \Delta x=\frac{1}{2}mv_{f} ^{2}-\frac{1}{2}mv_{i} ^{2}$

Because $v_{f}=0\ \frac{m}{s}$ and $F_{friction}$ is the same in both cases we have that:

$F_{friction}=\frac{1}{2}\frac{m}{\Delta x}\ v_{i} ^{2}$

$\Delta x_{2}$ is the distance the block will travel until stopping when the initial velocity is quadrupled. If we equal the above equation in the first and second case we have that:

$\frac{1}{2}\frac{m}{\Delta x_{1}}\ (v_{i})^{2}=\frac{1}{2}\frac{m}{\Delta x_{2}}\ (4v_{i})^{2}$

If we manipulate the equation we get that:

$\Delta x_{2}=16\ \Delta x_{1}$

$\Delta x_{2}=16\ . \ 1.6\ m$

$\Delta x_{2}=25.6\ m$

Answer from: Quest

explanation:

earth's surface is mainly heated by the absorption of infrared radiation from the sun.

evaporation occurs because molecules in liquid water are warmed ( usually by the sun) and vibrate quicker, becoming less dense and rise.

condensation occurs because molecules in water vapor are cooled and therefore vibrate more slowly thus becoming more dense and eventually fall to earth.

lines of equal barometric pressure on a weather map are called: isobars : lines of equal temp on a weather map are called: isotherms.

Answer from: Quest

i think they are all correct

explanation:

they seem good

Check if answers are correcti will mark as the brainliest answer

Other questions on the subject: Physics

Physics, 22.06.2019 11:30, ccamiloggonzales1234

Balloon a has charge q, and identical mass balloon b has charge 10q. you hang them from threads near each other. choose all of the statements with which you agree. check all that apply. a. a and b exert the same magnitude forces on each other. b. the force that a exerts on b is 10 times the force that b exerts on a. c. the angle between the thread supporting a and the vertical is < the angle between the thread supporting b and the vertical. d. the force that a exerts on b is 1/10 the force that b exerts on a.

Answers: 2

continue

Physics, 22.06.2019 19:30, dragador7601

Which of the following compounds would be primarily ionic? methane, ch4, ammonia nh3, calcium chloride, cacl2, or carbon dioxide, co2

Answers: 1

continue

Physics, 22.06.2019 21:30, Hockeypro1127

The three classes of rocks are sedimentary, metamorphic, and igneous. how are rocks classified into one of these three groups?

Answers: 1

continue

Physics, 22.06.2019 23:10, lyssssasantiago9844

Estimate of the number of stars in our galaxy