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4 years ago

Why is newton's first law of motion sometimes called the lae of inertia?

1 answer:

4 0

Newton's 1st law of motion states that <span>an object at rest stays at rest and an object in uniform motion along a straight line stays in motion unless acted upon by an unbalanced force.
This law talks about the tendency of an object to resist any change in its state of rest or uniform motion, this is called Inertia. Thus Newton's 1st law of motion is also called the Law of Inertia</span>

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A 13.0 g piece of Styrofoam carries a net charge of â5.40 Î¼C and floats above the center of a large horizontal sheet of plastic

kati45 [8]

Answer:

σ =4.180×10^{-9} C/m^2

Explanation:

electric field due to non conducting sheet is

$E=\frac{\sigma}{2\epsilon_0}$

the force acting on the piece of Styrofoam

Eq= mg

⇒E= mg/q

now,

$\frac{mg}{q} = \frac{\sigma}{2\epsilon_0}$

⇒ $\sigma= \frac{2mg\epsilon_0}{q}$

$\sigma= \frac{2\times0.013\times9.81\times8.85\times10^{-12}}{5.40\times10^{-4}}$

charge per unit area (in C/m2) on the plastic sheet σ =4.180×10^{-9} C/m^2

6 0

3 years ago

A wheel moves in the xy plane in such a way that the location of its center is given by the equations xo = 12t3 and yo = R = 2,

Stella [2.4K]

Answer:

the velocity of the point P located on the horizontal diameter of the wheel at t = 1.4 s is $P = 104.04 \hat{i} -314.432 \hat{j}$

Explanation:

The free-body diagram below shows the interpretation of the question; from the diagram , the wheel that is rolling in a clockwise directio will have two velocities at point P;

the peripheral velocity that is directed downward $(-V_y)$ along the y-axis

the linear velocity $(V_x)$ that is directed along the x-axis

Now;

$V_x = \frac{d}{dt}(12t^3+2) = 36 t^2$

$V_x = 36(1.7)^2\\\\V_x = 104.04\ ft/s$

Also,

$-V_y = R* \omega$

where $\omega$ (angular velocity) = $\frac{d\theta}{dt} = \frac{d}{dt}(8t^4)$

$-V_y = 2*32t^3)\\\\\\-V_y = 2*32(1.7^3)\\\\-V_y = 314.432 \ ft/s$

∴ the velocity of the point P located on the horizontal diameter of the wheel at t = 1.4 s is $P = 104.04 \hat{i} -314.432 \hat{j}$

3 0

4 years ago

Suppose you increase your walking speed from 6s to 12 m/s in a period of 2 s. What is acceleration

ElenaW [278]

As we know that acceleration is given as

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

here we know that

$v_i = 6 m/s$

$v_f = 12 m/s$

$\Delta t = 2 s$

now we will have

$a = \frac{12 - 6}{2}$

$a = 3 m/s^2$

so acceleration will be 3 m/s^2

5 0

3 years ago

An unpolarized beam of light with an intensity of 4000 W/m2 is incident on two ideal polarizing sheets. If the angle between the

erastova [34]

Answer:

The intensity is $I_2 = 1654 \ W/m^2$

Explanation:

From the question we are told that

The intensity of the unpolarized light is $I_o = 4000 \ W/m^2$

The angle between the ideal polarizing sheet is $\theta = 0.429 \ rad = 0.429 * 57.296 = 24.58^o$

Generally the intensity of light emerging from the first polarizer is mathematically represented as

$I_2 = \frac{I_o}{2}$

substituting values

$I_1 = \frac{4000}{2}$

$I_1 = 2000 \ W/m^2$

Then the intensity of incident light emerging from the second polarizer is mathematically represented by Malus law as

$I_2 = I_1 cos^2 (\theta )$

substituting values

$I_2 = 2000 * [cos (24.58)]^2$

$I_2 = 1654 \ W/m^2$

4 0

3 years ago

How many times will a skydiver reach terminal velocity before landing on the ground?.......... A. 0 B. 1 C. 3 D. 2

ludmilkaskok [199]

Answer:

D. 2

Explanation:

The skydiver will reach terminal velocity when gravity = air resistance. When this occurs, he/she will no longer accelerate and his/her speed will be constant.

Once the skydiver opens the parachute, his/her speed will decrease suddenly, and again the air resistance increases due to the parachute's large area. Eventually, gravity will equal air resistance again and terminal velocity will be reached for the second time.

Even though the speeds are different, the first terminal velocity is much higher than the second one, this question refers to how many times terminal velocity is reached, not how many times the skydiver accelerates.

5 0

3 years ago