Answer:
h = 0.25 [m]
v = 3.26 [m/s]
Explanation:
In order to solve this problem, we must remember that mechanical energy is defined as the sum of kinetic energy plus potential energy.
E1 = Ek + Ep
where:
E1 = mechanical energy = 25 [J]
Ek = kinetic energy = 17 [J]
Ep = potential energy [J]
25 = 17 + Ep
Ep = 8 [J]
Now the potential energy is defined by the following equation:
Ep = m*g*h
where:
m = mass = 3.2 [kg]
g = gravity acceleration = 9.81 [m/s²]
h = elevation [m]
8 = 3.2*9.81*h
h = 0.25 [m]
The velocity can be calculated by means of kinetic energy.
Answer:
a) Frope= 71.7 N
b) Frope=6.7 N
Explanation:
In the figure the skier is simulated as an object, "a box".
a) At constant velocity we can say that the object is in equilibrium, so we apply the Newton's first law:
∑F=0
Frope=w*sen6.8°
Frope=71.71N
Take into account that w is the weight that is calculated as mass per gravitiy constant:
w=m*g
b) In this case the system has an acceleration of 0.109m/s2. Then, we apply Newton's second law of motion:
F=m*a
F=61.8Kg*0.109m/s2
Frope=6.73N
v
Convert the given temperatures from celsius to kelvin since we are dealing with gas.
To convert to kelvin, add 273.15 to the temperature in celsius.
T1 = 22 + 273.15 = 295.15 k
T2 = 4 + 273.15 = 277.15 k
V1 = 0.5 L
Let's find the final volume (V2).
To solve for V2 apply Charles Law formula below: