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
Explanation:
First find the displacement in the x direction:
dₓ = 449 cos 66° + 1112 cos 169° + 1571 cos 26°
dₓ = 182.6 − 1091.6 + 1412
dₓ = 503 km
Next, find the displacement in the y direction:
dᵧ = 449 sin 66° + 1112 sin 169° + 1571 sin 26°
dᵧ = 410.2 + 212.2 + 688.7
dᵧ = 1311 km
The magnitude is:
d² = dₓ² + dᵧ²
d² = (503)² + (1311)²
d = 1404 km
The angle is:
tan θ = dᵧ / dₓ
tan θ = 1311 / 503
tan θ = 2.61
θ = 69°
1404 km and 69° north of east from New Orleans is approximately Toledo.
Answer:
a) 
b) 
Explanation:
From the exercise we got our <u>initial data</u>
a) To find <u><em>maximum height</em></u> we know that at that point 
Solving for y
b) Since we know that the ball strikes the fairway 190 m away
Solving for t
Now, we can calculate the speed of the ball in both axes
The <em>negative</em> sign means the direction of the ball at that point.
Correct option B
Transverse waves are those waves whose particles vibrate perpendicular to the direction of wave.
Hope This Helps You!
Is the apparent loss of time of a moving clock as observed by a stationary observer. Thats what i think.
