The question Ellen is likely exploring is "In what way does distance influence the gravitational force acting on objects?"
Explanation:
Response: a) 0.04 kW = 40 W
b) 0.05
Explanation:
A)
The thermal efficiency of the power cycle is calculated as Input / Output
Input = 10 kW + 14,400 kJ/min which translates to 10 kW + 14,400 kJ/(60s) = 10 kW + 14,400/60 kW.
Output equals 10 kW
Thus, Thermal Efficiency = Output / Input = 10 kW / 250 kW = 0.04 kW = 40 W
B)
Maximum Thermal Efficiency of the power cycle is defined as 1 - T1/T2
where T1 = 285 Kelvin
and T2 = 300 Kelvin
Thus, Maximum Thermal Efficiency = 1 - T1/T2 = 1 - 285/300 = 0.05
The overall force acting on the vehicle is zero
Explanation:
Let's evaluate the situation separately for the vertical direction and the horizontal direction along the slope.
Considering the direction perpendicular to the slope, two forces are in effect:
- The weight component acting perpendicular to the slope,
, directed into the slope - The normal force N, directed outward from the slope
Equilibrium exists here, indicating the net force in this direction is zero.
Now let’s examine the parallel direction to the slope. We have two forces present:
- The weight component aligned with the slope,
, directed down the slope - The frictional force
, acting up the slope
The car moves at a constant speed in this direction, indicating that its acceleration is zero.
Thus, according to Newton's second law,
implying the net force is zero:
Learn more about slopes and friction:
Answer:
Explanation:
The atmospheric pressure is P = 10⁵ N/m²
The volume change is Δ V = 16 - 12 = 4 m³
Work done by the gas at constant pressure can be expressed as:
W = P Δ V
Substituting in values:
Work done = 10⁵ x 4
W = 4 x 10⁵ J.
Part B) The heat added is Q = 254 x 10³ cals
= 254 x 4.2 x 10³ J
= 10.66 x 10⁵ J
According to the first law of thermodynamics:
Q = Δ E + W
Where Q denotes heat energy added, Δ E represents the increase in internal energy, and W signifies the work performed by the gas.
Substituting the known values:
10.66 x 10⁵ = Δ E + 4 x 10⁵
Therefore, Δ E = 6.66 x 10⁵ J.
