Answer:
(a) 1.85 m/s
(b) 4.1 m/s
Explanation:
Data
- initial bullet velocity, Vbi = 837 m/s
- wooden block mass, Mw = 820 g
- initial wooden block velocity, Vwi = 0 m/s
- final bullet velocity, Vbf = 467 m/s
(a) From the conservation of momentum:
Mb*Vbi + Mw*Vwi = Mb*Vbf + Mw*Vwf
Mb*(Vbi - Vbf)/Mw = Vwf
4.1*(837 - 467)/820 = Vwf
Vwf = 1.85 m/s
(b) The speed of the center of mass speed is calculated as follows:
V = Mb/(Mb + Mw) * Vbi
V = 4.1/(4.1 + 820) * 837
V = 4.1 m/s
Answer:
t = 36π seconds
Explanation:
For resolving this problem, we are going to consider a representative stadium of the United States. The Mercedes-Benz Stadium located in Atlanta, Georgia has an average radius of 90 m.
Then, its circumference measures:
L = 2πr
L = 2π(90)
L = 180π m
First, we estimate the wave's velocity: the average width of an person is 0.5 m, then the velocity is:
v = x/t
Where x: person's width
t: time
v = 0.5/0.1 = 5 m/s
The time required for the pulse to make one circuit around the stadium is:
t = x/v = 180π/5 = 36π seconds
Answer:
Explanation:
given,
P (in kilo pascals), volume V (in liters), temperature T (in kelvins)
P V = 8.31 T
Rate of increase the temperature = 0.1 K/s
temperature = 285 K
Pressure = 18 kPa
increasing at the rate of 0.07 k Pa/s
Rate at which volume is changing = ?
<em>answer:</em>
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An incandescent bulb produces light that comes from the heating of a filament. A compact fluorescent bulb produces light when a substance is hit by electromagnetic radiation. Compact fluorescent bulbs are more efficient than incandescent bulbs.
The first law of thermodynamics is a version of the law of conservation of energy, adapted for thermodynamic processes. Therefore, a system with lower heat emissions would be more efficient.
The second law of thermodynamics states that the total entropy of an isolated system (the thermal energy per unit temperature that is unavailable for doing useful work) can never decrease. In our context, it means that the system with the least amount of losses would be more efficient. As a conclusion the fluorescent bulb would be more efficient.
