Answer:
Final velocity, v = 25.3 m/s
Explanation:
Initial velocity of a locomotive, u = 19 m/s
Acceleration of the locomotive, a = 0.8 m/s²
Length of station, d = 175 m
We need to find its final velocity (v) when the nose leaves the station. It can be calculated using the third law of motion :
v = 25.31 m/s
v = 25.3 m/s
When the nose leaves the station, it will move with a velocity of 25.3 m/s. Hence, this is the required solution.
<u>Record of magnetic reversals recorded in molten rock at mid-ocean ridges:</u>
Often in ocean, at the junction of two plates, lava often comes out of the junction because of the movement of plates away from each other as a result, forming a divergent plate boundaries. As the lava comes up, the magnetic minerals come along with it.
During the molten state, they arrange themselves along the magnetic poles of the earth. Then they gets solidified. As the magnetic reversals take place in earth, these rock can’t change the orientation, but they retain the data about the magnetic orientation of earth corresponding to the date of their formation.
<u>Answer:</u> The remaining sample of X is 6.9 grams.
<u>Explanation:</u>
All the radioactive reactions follow first order kinetics.
The equation used to calculate rate constant from given half life for first order kinetics:
We are given:
Putting values in above equation, we get:
The equation used to calculate time period follows:
where,
= initial mass of sample X = 78 g
N = remaining mass of sample X = ? g
t = time = 16.5 min
k = rate constant =
Putting values in above equation, we get:
Hence, the remaining amount of sample X is 6.9 g
Answer:
a)
b)
Explanation:
From the exercise we know initial velocity, initial height
º
a) The range of the stone is defined by how far does it goes. From the theory of <u><em>free falling objects</em></u>, we have:
The stone strike the water at y=0
Solving for t, using the quadratic formula
or
Since time can't be negative, the answer is t=3.06s
Now, we can calculate the <u>range of the stone</u>
b) We can calculate the <u>velocity</u> were the stone strike the water using the following formula
The negative sign indicates that the stone is going down