A truck covers 40.0 m in 7.45 s while uniformly slowing down to a final velocity of 2.35 m/s.

Work out the following a) Find β = v/c for a person walking at 3 mile/hr and a truck moving at 65 mile/hr. (b) Find γ-1, where γ

balu736 [363]

Explanation:

It is given that,

Speed of the person, v = 3 mile/hr = 1.34 m/s

Speed of the truck, v' = 65 mile/hr = 29.05 m/s

(a) Since, $\beta =\dfrac{v}{c}$

For the person, $\beta =\dfrac{1.34}{3\times 10^8}=4.47\times 10^{-9}$

For the truck, $\beta =\dfrac{29.05}{3\times 10^8}=9.68\times 10^{-8}$

(b) The relativistic factor is given by :

$\gamma=\dfrac{1}{\sqrt{1-\beta^2}}$

For very small velocity, $\beta$

$\gamma=(1-\beta ^2)^{-1/2}\approx 1+\dfrac{1}{2}\beta ^2$

$\gamma-1=\dfrac{\beta^2}{2}$

For the person :

$\gamma-1=\dfrac{(4.47\times 10^{-9})^2}{2}=9.99\times 10^{-18}$

For the person :

$\gamma-1=\dfrac{(9.68\times 10^{-8})^2}{2}=4.68\times 10^{-15}$

Hence, this is the required solution.

3 0

3 years ago

What does the sun do

Fofino [41]

Answer:

All of the above. If you had to pick one it would be D.

Explanation:

The sun gives off many kinds of radiation other than light and heat it also Emits radio waves ultraviolet rays and x-rays

8 0

3 years ago

the pygmy shrew has an average mass of 2.0 g if 49 of these shrew are placed on a spring scale with a spring constant of 24 N/m

olga_2 [115]

Answer:

Spring's displacement, x = -0.04 meters.

Explanation:

Let the spring's displacement be x.

Given the following data;

Mass of each shrew, m = 2.0 g to kilograms = 2/1000 = 0.002 kg

Number of shrews, n = 49

Spring constant, k = 24 N/m

We know that acceleration due to gravity, g is equal to 9.8 m/s².

To find the spring's displacement;

At equilibrium position:

Fnet = Felastic + Fg = 0

But, Felastic = -kx

Total mass, Mt = nm

Fg = -Mt = -nmg

-kx -nmg = 0

Rearranging, we have;

kx = -nmg

Making x the subject of formula, we have;

$x = \frac {-nmg}{k}$

Substituting into the formula, we have;

$x = \frac {-49*0.002*9.8}{24}$

$x = \frac {-0.9604}{24}$

x = -0.04 m

Therefore, the spring's displacement is -0.04 meters.

3 0

3 years ago

An elevator held by a single cable is ascending but slowing down. Is the work done by tension positive, negative, or zero? What

inessss [21]

Explanation:

1.) Work = Force*Distance

2.) The direction of motion lies in the same direction as the tension in the cable. So the work done by tension would be positive.

3.) The direction of the weight (due to gravity) would act opposite to the direction of motion of the elevator, so work done by gravity becomes negative.

8 0

4 years ago

The question is in the picture. :)

NISA [10]

Player A needs the least amount of energy. The ball is light weight and she is closest to the goal so the momentum need to kick the ball will be the least and the distance is has to travel is the shortest. But player C needs the most amount of energy. The ball is heavy so it will take the most momentum to move the ball and over such a long distance. Hope this help idrk.

5 0

3 years ago