Answer:
(a) the constant of the spring is 27095.375 J/m2
(b) 0.052 m/s
(c) F=17341.04 N
Explanation:
Hello
The law of conservation of energy states that the total amount of energy in any isolated system (without interaction with any other system) remains unchanged over time.
if we assume that there is no friction, then, the kinetic energy of the train (due to movement) will be equal to the energy accumulated in the spring
Step 1
energy of the train (kinetic)
step 2
energy of the spring
where K is the constant of the spring and x the length compressed.
(a) the constant of the spring is 27095.375 J/m2
(b)
equal to train energy
(b) 0.052 m/s
(c)
(c) F=17341.04 N
I hope it helps
Answer:
76969.29 W
Explanation:
Applying,
P = F×v............. Equation 1
Where P = Power, F = force, v = velocity
But,
F = ma.......... Equation 2
Where m = mass, a = acceleration
Also,
a = (v-u)/t......... Equation 3
Given: u = 0 m/s ( from rest), v = 12.87 m/s, t = 3.47 s
Substitute these values into equation 3
a = (12.87-0)/3.47
a = 3.71 m/s²
Also Given: m = 1612 kg
Substitute into equation 2
F = 1612(3.71)
F = 5980.52 N.
Finally,
Substitute into equation 1
P = 5980.52×12.87
P = 76969.29 W
Well, first of all, the truck's velocity is constantly changing, not 'uniform'.
Velocity consists of speed and direction. So, even if the truck's speed is
constant, its direction keeps changing as long as it's on a circular curve,
so its velocity is constantly changing.
The force needed to keep a mass moving in a circle is
F = (mass) x (speed)² / (radius)
3300 N = (1600 kg) (13 m/s)² / R
3300 kg-m/s² = (1600 kg) (169 m²/s²) / R
R = (1600 kg) · (169 m²/s²) / (3300 kg·m/s²)
= (1600 · 169 / 3300) meters
= 81.9 meters
The correct answer would be to express large and small numbers.