Answer:
The value is
Explanation:
From the question we are told that
The mass of the bullet is
The mass of the wood is
The height attained by the combined mass is
Generally according to the law of energy conservation
Here is the kinetic energy of the bullet before collision.
and is the potential energy of the combined mass of bullet and wood at the height h which is mathematically represented as
So
=>
2.1 kg of sodium bicarbonate is equal to the 2.1 x 10¹² ng of sample. Option D is correct.
Mass is the quantity of the substance in the body or object. The SI unit of mass is Kilogram.
There are other units of measure,
First convert kg to gram,
Since, 1 Kg = 1000 g
2.1 kg = grams of sample
So,
Do the cross multiplication,
Now, convert 2100 g to nano-grams
Since, 1 g = 1 x 10⁹ ng
2100 g = ng of sample
So,
Do the cross multiplication,
Therefore, 2.1 kg of sodium bicarbonate is equal to the 2.1 x 10¹² ng of sample.
To know more about Mass units,
The car lands 35.6 m from the base of the cliff
Explanation:
The motion of the car is a projectile motion, which consists of two independent motions:
- A uniform motion (constant velocity) along the horizontal direction
- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction
We start by analyzing the vertical motion, in order to find the time of flight of the car. We do it by using the following suvat equation:
where:
s = 25.3 m is the vertical displacement of the car (the height of the cliff)
is the initial vertical velocity of the car (because it is moving horizontally)
t is the time of the fall
is the acceleration of gravity
Solving for t, we find :
Now we can analyze the horizontal motion of the car, which moves with constant horizontal velocity of
Therefore, the horizontal distance covered in a time t is
and by substituting t = 2.27 s, we find the how far from the base of the cliff the car lands:
Learn more about projectile motion:
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