Answer:
Explanation:
Let the first height be h . second height .75h
third height .75h . fourth height .75²h
fifth height .75²h , sixthth height .75³ and so on
Total distance consists of two geometric series as follows
1 ) first series
h + .75h + .75²h + .75³h......
2 ) second series
.75h +.75²h +.75³h + .75⁴h .......
Sum of first series :
first term a = h , commom ratio r = .75
sum = a / (1 - r )
= h / 1 - .75
= h / .25
4h
sum of second series :--
first term a = .75 h , commom ratio r = .75
sum = a / (1 - r )
= .75h / 1 - .75
= .75h / .25
3h
Total of both the series
= 4h + 3h
= 7h .
h = 1 m
Total distance = 7 m
Answer:

Explanation:
Work is equal to the product of force and distance.

The box is being pushed with an effort (force) of 45 Newtons and the distance is 3.5 meters.

Substitute the values into the formula.

Multiply.

- 1 Newton meter is equal to 1 Joule
- Our answer of 157.5 N*m equals 157.5 J

<u>157.5 Joules </u> of work are done on the crate.
Answer:
d = 0.38 m
Explanation:
As we know that the person due to the airbag action, comes to a complete stop, in 36 msec or less, and during this time, is decelerated at a constant rate of 60 g, we can find the initial velocity (when airbag starts to work), as follows:
vf = v₀ -a*t
If vf = 0, we can solve for v₀:
v₀ = a*t = 60*9.8 m/s²*36*10⁻³s = 21.2 m/s
With the values of v₀, a and t, we can find Δx, applying any kinematic equation that relates all of some of these parameters with the displacement.
Just for simplicity, we can use the following equation:

where vf=0, v₀ =21.2 m/s and a= -588 m/s².
Solving for d:

⇒ d = 0.38 m
Answer:
borosilicate glass
Explanation:
headlamp glass is a borosilicate glass by gravity feed
To answer this item, we assume that the gas being referred to here is an ideal gas such that it follows the Gay-Lussac's law wherein,
P = kT
The equation shows the direct relationship between the pressure and the temperature. Thus, if heat is added which would consequently raise the substance's temperature, will also increase the pressure.