Answer:
The energy expected to be released is calculated to be 4182 Joules.
Explanation:
The total mass of coke is 2 kg, which is equivalent to 2000 g
1 calorie per gram corresponds to 4.184 Joules of energy
4.184 J/gC * 2000g results in 8368 J
1 food calorie approximates to 4186 J
By subtracting, we find 8368 - 4186
Hence, the total energy that will be released amounts to 4182 Joules.
Here is an image displaying the correct answers.
Answer:
h = 12.8 cm
Explanation:
The initial parameters are as follows:
distance = 6.4 cm
- when the object descends, its weight matches the spring's force
weight = spring force
mg = ky... equation 1
- potential energy stored in a stretched spring = work done by the spring
mgh = 0.5 x k x h^{2}....equation 2
- Substituting from equation 1 into equation 2
kyh = 0.5 x k x h^{2}
y = 0.5 x h
2y = h
- where y is 6.4, yielding the maximum elongation as
h = 2 x 6.4 = 12.8 cm
This can be determined using the principle of energy conservation. The ski lift begins with a velocity of v= 15.5 m/s, and all of its kinetic energy Ek converts into potential energy Ep, thus we set Ep equal to Ek.
Because Ek is given by (1/2)*m*v², where m denotes mass and v represents speed, while Ep equals m*g*h, where m is mass, g is 9.81 m/s², and h is height. Now:
Ek=Ep
(1/2)*m*v²=m*g*h, canceling out the mass,
(1/2)*v²=g*h, rearranging for height by dividing by g,
(1/2*g)*v²=h and substituting the values:
h=12.245 m. The hill's height rounded to the nearest tenth is h=12.25 m.
