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Dvinal
6 days ago
13

In a novel from 1866 the author describes a spaceship that is blasted out of a cannon with a speed of about 11.000 m/s. The spac

eship is approximately 274 m long but part of it is packed with gunpowder, so it accelerates over a distance of only 213 m. What was the acceleration (in m/s2) experienced by the occupants of the spaceship during the launch?
Physics
1 answer:
Sav [3K]6 days ago
5 0

Answer:

a=0.284\ m/s^2

Explanation:

We start with the fact that

Initially, the spacecraft was at rest, u = 0

The final velocity of the rocket is given as v = 11 m/s

The distance that the rocket covers during acceleration is given as d = 213 m

We seek to determine the acceleration that the occupants of the spacecraft experience during launch, which is derived from the principles of kinematics. By applying the

third motion equation we can find the acceleration.

v^2-u^2=2ad\\\\a=\dfrac{v^2-u^2}{2d}\\\\a=\dfrac{(11)^2-(0)^2}{2\times 213}\\\\a=0.284\ m/s^2

Thus, the acceleration felt by those inside the spacecraft is 0.284\ m/s^2.

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You throw a baseball at an angle of 30.0∘∘ above the horizontal. It reaches the highest point of its trajectory 1.05 ss later. A
kicyunya [3154]

Answer:

The initial speed at which the baseball is thrown is 20.58 m/s

Explanation:

To determine the time taken to reach the peak height in projectile motion, the formula is:

t = (u sin θ)/g

Where u = initial speed of the baseball =?

θ = angle of launch above the horizontal

g = gravitational acceleration = 9.8 m/s²

1.05 = (u sin 30)/9.8

u can be calculated as (1.05 × 9.8)/0.5

u = 20.58 m/s

7 0
29 days ago
A 1,300 kg wrecking ball hits the building at 1.07 m/s2.
ValentinkaMS [3340]
We know that F=ma
where m represents mass and a indicates acceleration
thus, Force= ma
therefore, F=1300X1.07=1391N
I hope this helps
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7 0
25 days ago
Read 2 more answers
A particle has a charge of -4.25 nC.
kicyunya [3154]

Answer:

-611.32 N/C

0.43723 m

Explanation:

k = Coulomb constant = 8.99\times 10^{9}\ Nm^2/C^2

q = Charge = -4.25 nC

r = Distance from particle = 0.25 m

The electric field can be calculated using

E=\dfrac{kq}{r^2}\\\Rightarrow E=\dfrac{8.99\times 10^9\times -4.25\times 10^{-9}}{0.25^2}\\\Rightarrow E=-611.32\ N/C

The calculated magnitude is 611.32 N/C

The electric field direction is vertically downward due to the negative charge.

E=\dfrac{kq}{r^2}\\\Rightarrow r=\sqrt{\dfrac{kq}{E}}\\\Rightarrow r=\sqrt{\dfrac{8.99\times 10^9\times 4.25\times 10^{-9}}{13}}\\\Rightarrow r=1.71436\ m

The distance from the electric field source is 1.71436 m

4 0
1 month ago
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A radioactive source has a half life of 80s.
kicyunya [3154]
Let's assume that the initial quantity of nuclides is 100.

If 7/8 of 100 has decayed, we conclude that 87.5 has decayed.

\frac{7}{8} \times 100 = 87.5

This means that 1/8 remains from the original amount of 100, which results in 12.5 remaining.

100 - 87.5 =12.5

\frac{1}{8} \times 100 = 12.5

To find out how many Half-lives it took for the sample to drop from 100 to 12.5, we can establish that 3 Half-Lives have elapsed.

100 \div 2 \div 2 \div 2 = 12.5

Given that each Half-Life is 80 seconds, the total time taken would be 240 seconds.

3 \times 80 = 240 Therefore, the conclusion is that it will take 240 seconds.
6 0
1 month ago
The Palo Verde nuclear power generator of Arizona has three reactors that have a combined generating capacity of 3.937×109 W . H
Softa [2930]

Answer:

t = 2.68 x 10¹⁴ years

Explanation:

First, we need to determine the energy the Sun generates in a single day.

Energy = Power * Time

Energy produced by the Sun in one day = (3.839 x 10²⁶ W)(1 day)(24 hr/1 day)(3600 s/1 hr)

Energy produced by the Sun in one day = 3.32 x 10³¹ J

Next, to find out how long the nuclear power generator would take to match this energy output, in years, we have:

Energy of power generator = Energy of the Sun in one day = 3.32 x 10³¹ J

3.32 x 10³¹ J = Power * Time

3.32 x 10³¹ J = (3.937 x 10⁹ W)(t years)(365 days/1 year)(24 hr/1 day)(3600 s/ 1 hr)

t = 3.32 x 10³¹ / 1.24 x 10¹⁷

t = 2.68 x 10¹⁴ years

8 0
1 month ago
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