For general projectile motion, which of the following best describes the horizontal component of a projectile's acceleration? As
1 answer:
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The largest mass is 4.7 x 10³⁰ kg and the smallest mass is 5 x 10²⁹ kg.
The given parameters;
- <em>distance between the two black holes, r = 10 AU = 1.5 x 10¹² m</em>
- <em>gravitational force between the two black holes, F = 6.9 x 10²⁵ N.</em>
- <em>combined mass of the two black holes = 5.20 x 10³⁰ kg</em>
The product of the two masses is calculated from Newton's law of universal gravitational as follows;
The sum of the two masses is given as;
m₁ + m₂ = 5.2 x 10³⁰ kg
m₂ = 5.2 x 10³⁰ kg - m₁
The first mass is calculated as follows;
m₁(5.2 x 10³⁰ - m₁) = 2.328 x 10⁶⁰
5.2 x 10³⁰m₁ - m₁² = 2.328 x 10⁶⁰
m₁² - 5.2 x 10³⁰m₁ + 2.328 x 10⁶⁰ = 0
<em>solve the quadratic equation using formula method</em>;
a = 1, b =- 5.2 x 10³⁰, c = 2.328 x 10⁶⁰
The second mass is calculated as follows;
m₂ = 5.2 x 10³⁰ kg - m₁
m₂ = 5.2 x 10³⁰ kg - 4.7 x 10³⁰ kg
m₂ = 5 x 10²⁹ kg
or
m₂ = 5.2 x 10³⁰ kg - 4.9 x 10²⁹ kg
m₂ = 4.7 x 10³⁰ kg
Thus, the largest mass is 4.7 x 10³⁰ kg and the smallest mass is 5 x 10²⁹ kg.
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Answer : The acceleration of the elevator is,
Explanation :
Formula used to calculate the acceleration of the elevator is:
where,
F = force = 844 M
m = mass of man = 70 kg
g = acceleration due to gravity =
a = acceleration of the elevator = ?
Now put all the given values in the above formula, we get:
Thus, the acceleration of the elevator is,
Answer : The correct option is, (B) 279.2 Kpa
Solution : Given,
Initial pressure of gas = 475 Kpa
Initial volume of gas =
Final volume of gas =
Initial temperature of gas = 290 K
Final temperature of gas = 277 K
Using ideal gas equation :
Formula used :
where,
= initial pressure of gas
= final pressure of gas
= initial volume of gas
= final volume of gas
= initial temperature of gas
= final temperature of gas
Now put all the given values in the above formula, we get the final pressure of the gas.
Therefore, the absolute pressure of the gas after expansion is, 279.2 Kpa