To solve this problem we will apply the relationship between Newton's second law and Hooke's law, with which we will define the balance of the system. From the only unknown in that equation that will be the constant of the spring, we will proceed to find the period of vibration of the car.
We know from Hooke's law that the force in a spring is defined as
Here k is the spring constant and x the displacement
While by Newton's second law we have that the Weight can be defined as
Here m is the mass and g the gravity acceleration.
The total weight would be
Each spring takes a quarter of the weight, then
Since the system is in equilibrium the force produced by the weight in each spring must be equivalent to the force of the spring, that is to say
The period of a spring-mass system is given as
The total mass is equivalent as the sum of all the weights, then replacing we have that the Period is
Therefore the period of vibration of the car as it comes to rest after the four get in is 0.9635s
Answer: The glass and the paper have different charges
Explanation:
Answer:
72.54 degree west of south
Explanation:
flow = 3.9 m/s north
speed = 11 m/s
to find out
point due west from the current position
solution
we know here water is flowing north and ship must go south at an equal rate so that the velocities cancel and the ship just goes west
so it become like triangle with 3.3 point down and the hypotenuse is 11
so by triangle
hypotenuse ×cos(angle) = adjacent side
11 ×cos(angle) = 3.3
cos(angle) = 0.3
angle = 72.54 degree west of south
<span>This is an example of work-energy theorem
where it lets a person accumulate the strength of<span> the muscles
over the duration of the swing, allowing much<span> bigger forces as the hammer hits
the nail.
Moreover, the work done on an object by a net
force is equals to the change in kinetic energy of the object, which is
expressed as W = KEf - KEi. </span></span></span>
<span>Therefore, if the hammer hits the nail with twice the speed, it corresponds to 4 times the energy and four
times the driving distance. If the hammer hits with three times the speed, the driving distance is 9
times as much.</span>
