A blue physics book of mass 0.75 kg and a red algebra book of mass 0.60kg are both slid off of the same wooden picnic table with a height of 0.6m. The algebra book had a horizontal velocity of 7 m/s, while the physics book had a horizontal velocity of only 5 m/s. Assuming no air resistance, and both books have the same amount of the friction between them and the table, which book will travel the furthest before hitting the ground?

3349J/kgC

Explanation:

Questions like these are properly handled having this fact in mind;

Quantity of heat = mcΔ∅

m = mass of subatance

c = specific heat capacity

Δ∅ = change in temperature

m₁c₁(∅₂-∅₁) = m₂c₂(∅₁-∅₃)

m₁ = mass of block = 500g = 0.5kg

c₁  = specific heat capacity of unknown substance

∅₂ = block initial temperature = 50oC

∅₁ = equilibrium temperature of block and water after mix= 25oC

m₂= mass of water = 2kg

c₂ = specific heat capacity of water = 4186J/kg C

∅₃ = intial temperature of water = 20oC

0.5c₁(50-25) = 2 x 4186(25-20)

And we can find c₁ which is the unknown specific heat capacity

c₁ = = 3348.8J/kg C≅ 3349J/kg C