Answer:
The maximum length during the motion is 
Explanation:
From the question we are told that
The mass is 
The vertical spring length is 
The unstretched length is 
The initial speed is 
The new length of the spring 
The spring constant k is mathematically represented as

Where F is the force applied 
y is the difference in weight which is 
The negative sign is because the displacement of the spring (i.e its extension occurs against the force F)
Now substituting values accordingly


The elastic potential energy is given as 
where D is this the is the displacement
Since Energy is conserved the total elastic potential energy would be

Substituting value accordingly




So to obtain total length we would add the unstretched length
So we have

Answer:
200000 J
Explanation:
From the question given above, the following data were obtained:
Mass (m) of roller coaster = 1000 Kg
Velocity (v) of roller coaster = 20 m/s
Kinetic energy (KE) =?
Kinetic energy is simply defined as the energy possess by an object in motion. Mathematically, it can be expressed as:
KE = ½mv²
Where
KE => is the kinetic energy.
m =>is the mass of the object
V => it the velocity of the object.
With the above formula, we can obtain the kinetic energy of the roller coaster as follow:
Mass (m) of roller coaster = 1000 Kg
Velocity (v) of roller coaster = 20 m/s
Kinetic energy (KE) =?
KE = ½mv²
KE = ½ × 1000 × 20²
KE = 500 × 400
KE = 200000 J
Therefore, the kinetic energy of the roller coaster is 200000 J.
A voltmeter is the instrument used to measure a potential difference between two points in an electric circuit