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
We know that F=ma
where m represents mass and a indicates acceleration
thus, Force= ma
therefore, F=1300X1.07=1391N
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Answer:
-611.32 N/C
0.43723 m
Explanation:
k = Coulomb constant = 
q = Charge = -4.25 nC
r = Distance from particle = 0.25 m
The electric field can be calculated using

The calculated magnitude is 611.32 N/C
The electric field direction is vertically downward due to the negative charge.

The distance from the electric field source is 1.71436 m
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.

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


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.

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

Therefore, the conclusion is that it will take 240 seconds.
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