The weight alone has a negligible impact on speed. It is the drag associated with the weight that causes the speed reduction.
For instance if you were add internal ballast with NO exterior changes the only increase in drag would be a very marginal shift in the angle of attack of the wing and the induced drag, since forces on the plane (both drag and lift) go up with the square of the speed adding a few hundred pounds to an aircraft does very little to the speed.
However, pods, protruding gun barrels, gun ports/troughs, cartridge ejection slots can cause a much bigger disruption of airflow and increased drag.
When climbing there is a bit of a double whammy. Since climb speed is relatively low, in fact it is a cross/blend between lowest speed with good controllability and the lowest drag speed ( lowest drag caused by lift and lowest drag caused by speed/shape). I am not explaining that well.
View attachment 488300
Picture worth 1000 words. Climb is done near the minimum drag speed, an increase in weight is going to cause the lift induced drag to rise at low speed in greater proportion than at high speed. This leaves less power to perform the climb with and when climbing you are lifting every pound.
Hope that makes sense?
Hi SR - good chart to discuss L/D and level flight characteristics.
Climbing (and turning) introduce Pressure Drag in a big way - mostly attributable to AOA caused Pressure Drag. In addition Cooling Drag escalated during climb and turn.
Total Drag = Parasite Drag (level flight components of Wing, fuselage, empennage, carb and Radiator ducts, gaps in control surfaces and sheet paneling, friction, exhaust stacks - stuff associated with basic airframe) + Delta Parasite Drag (more level flight components such as cannon/gun ports, radio mast, bomb racks, etc) + Vortex/Pressure Drag due to Angle of Attack = Total Drag (almost done).before Compressibility correction and addition of Induced Drag.
That said a full blown set of forces on the airframe have not yet been calculated. In late 1930s the concept of expressing practical climb, range and turn estimates required that many items be further categorized into attributes that contribute to Power Available and Power Required. This is where the esoteric calcs including equations for Ram Air, Prop design/configuration/efficiencies and Exhaust Thrust all contributed to Power Available as a function of altitude, velocity, throttle/manifold pressure, fuel type and fuel to air ratios.
.In WWII, at least for US airframe designers of piston engine fighters, the calculations for the Cooling drag of both cooling system and carb intake are derived into a delta Power Required.
For increments to Power Required, calcs for Cooling Drag factors for both high speed and low speed are derived from Wind Tunnel tests and also the increased drag due to the Prop Vortex (all fuselage, approx. 25-30% of wing) for the higher velocity than free stream and immersed in the vortex.
What emerges is the expression Thrust = Drag reorganized into Power Available and Power Required. In balance, there is equilibrium at top speed, top rate of climb, best turn rate, best cruise speed, etc. Otherwise, there is acceleration until equilibrium is once again attained