Answer:
-19.259m/s
Explanation:
Given;
Final velocity = 19m/s
time t = 1.6s
u is the initial velocity
g is the acceleration due to gravity = 9.81m/s²
Using the equation of motion to first get the initial velocity of the shell:
v = u-gt
19 = u - (9.81)(1.6)
19 = u - 15.696
u = 19+15.696
u = 34.696m/s
The initial velocity of the shell is 34.696m/s
Next is to find the speed of the shell 5.5s after the launch
Using the equation of motion:
v = u-gt
v = 34.696-9.81(5.5)
v = 34.696 - 53.955
v = -19.259m/s
<em>The negative value of the velocity shows that the velocity is travelling in the downward direction</em>
<em />
Answer:
The kinetic energy of the mass when the spring is stretched 5 cm is 2.55 J
Explanation:
Here we have
The mass on the spring = 0.4 kg
Spring stiffness = 200 N/m
Speed when compressed 10 cm = 3 m/s
E = 0.5·m·v² + 0.5·k·x² = 0.5·k·x²
Therefore
When x = 10 cm = 0.1 m, we have
E = 0.5·0.4·3² + 0.5·200·0.1² = 0.5·200·x² = 2.8
x² = 2.8/100 = 0.028,
x = 0.167 m
When the mass is at 5 cm we have
E = 0.5·0.4·v² + 0.5·200·0.05² = 2.8 J
Therefore, the kinetic energy = 0.5·0.4·v² = 2.8 - 0.25 = 2.55 J
The kinetic energy of the mass when the spring is stretched 5 cm = 2.55 J.
The molecules making up object collide with the molecules of the other and some of the kinetic energy from a warmer object is transferred to the cooler one.
To solve this problem it is necessary to apply the concepts related to electromotive force or induced voltage.
By definition we know that the induced emf in the loop is equal to the negative of the change in the magnetic field, that is,
Where A is the area of the loop, B the magnetic field and t the time.
Replacing with our values we have that
Therefore the thermal energy produced is given by
The thermal energy produced in the loop is
Answer:
Experimental
Explanation:
Here the dependency of pressure on the temperature is to be determined. For finding this factor we need to calculate the pressure of the object at different temperature.
The process of calculating pressure for different temperature is experimental investigation because we need to perform this experiment for finding these value. On the basis of observed values the we can conclude the dependency.
Thus, this investigation is experimental.