A car drives toward the right over the top of a hill, as shown below. An illustration of car at the top of a hill pointing right
and looking at the side of the car. The is a vector up labeled Z, a vector down labeled X, a vector left labeled Y and a vector right labeled W. Which arrow represents the centripetal acceleration? W X Y Z
2 answers:
Answer: X
Explanation:
This situation can be illustrated as a car in circular motion (image attached).
In circular motion the acceleration vector is always directed toward the center of the circumference (that's why it's called centripetal acceleration).
So, in this case the arrow labeled X is the only that points toward the center, hence it represents the car's centripetal acceleration
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Answer:
Since the spring mass system will execute simple harmonic motion the position as a function of time can be written as
'A' is the amplitude = 6 inches (given)
is the natural frequency of the system
At equilibrium we have
Applying values we get
thus natural frequency equals
Thus the equation of motion becomes
At time t=0 since mass is at it's maximum position thus we have
Thus the position of mass at the given times is as follows
1) at
2) at
3) at
4) at
5) at
When boat is sunk into the liquid the net buoyancy on the boat is counterbalanced by weight of the boat
So here weight of the boat = Buoyancy force
let say boat is sunk by distance "h"
now we can say
now by above force balance equation we can write
so boat will sunk by total 5 mm distance