Use Newton’s First Law of Motion and the concept of inertia to explain what happens to a person in a head-on car accident who is not wearing a seat belt. How does wearing a seat belt help?

Answer:

    v = R w    

With this expression we see that for each point at different radius the tangential velocity is different

Explanation:

They indicate that the angular velocity is constant, that is

            w = dθ / dt

Where θ is the radius swept angle and t the time taken.

The tangential velocity is linear or

           v = dx / dt

Where x is the distance traveled in time (t)

In the definition of radians

          θ = s / R

Where s is the arc traveled and R the radius vector from the pivot point, if the angle is small the arc (s) and the length (x) are almost equal

         θ = x / R

We substitute in the speed equation

         v = d (θ R) / dt

The radius is a constant for each point

         v = R dθ / dt

         v = R w

With this expression we see that for each point at different radius the tangential velocity is different

Answer:

Explanation:

Given:

• area of piston on the smaller side of hydraulic lift,

• area of piston on the larger side of hydraulic lift,

• Weight of the engine on the larger side,

Now, using Pascal's law which state that the pressure change in at any point in a confined continuum of an incompressible fluid is transmitted throughout the fluid at its each point.

is the required effort force.

Answer:

   F = 1076 N

Explanation:

given,

small piston area, a = 0.075 m²

large piston area, A = 0.237 m²

weight on the large piston, W = 3400 N

force applied on the second piston, F = ?

using pascal law for the force calculation

   F = 0.3165 x 3400

   F = 1076 N

The force applied to the small piston in order to lift the engine is equal to 1076 N.

Answer:

c = 894.90 m/s

Explanation:

Given data:

Frequency of wave = 471 Hz

Wavelength of wave = 1.9 m

Speed of wave = ?

Solution:

Formula:

Speed of wave = frequency × wavelength

c = f×λ

c = 471 Hz × 1.9 m

  Hz = s⁻¹

c = 471s⁻¹ × 1.9 m

c = 894.90 m/s

The speed of wave is 894.90 m/s.

Answer:

It's A

Explanation:

The human ear would hear wave A as a louder sound than wave B. Wave A has a greater amplitude than wave B. That is perceived as a louder sound. Wave B has a higher frequency; that would be perceived as a higher pitch.

In this exercise we have to use the knowledge in distance, in this way we will find that the proportional distance found is:

So from the information given in the text we find that:

• The distance from the center of the sun to the center of the earth is

• The radius of the sun is

• We need to assume a radius for the ball bearing, so suppose that the radius is  

First, we need to find in what way or manner often the radius of the brightest star exist considerable respect to the range of the ball significance, that exist given apiece following equating:

Now, we can calculate the distance from the center of the sun to the center of the sphere representing the earth:  

See more about distance at brainly.com/question/989117

Answer:

d = 0.645 m(assuming a radius of the ball bearing of 3 mm)

Explanation:

The given information is:

• The distance from the center of the sun to the center of the earth is 1.496x10¹¹m =
• The radius of the sun is 6.96x10⁸m =

We need to assume a radius for the ball bearing, so suppose that the radius is 3 mm = .  

First, we need to find how many times the radius of the sun is bigger respect to the radius of the ball bearing, which is given by the following equation:

Now, we can calculate the distance from the center of the sun to the center of the sphere representing the earth, :  

[tex] d_{s} = \frac{d_{e}}{r_{s}/r_{b}} = \frac{1.496 \cdot 10^{11} m}{2.32\cdot 10^{11}} = 0.645 m

I hope it helps you!