Answer: v = 2.53 m/s at E 53.1° S
Explanation:
Conservation of momentum
The 400 g object has no North-South velocity, so the initial momentum in that direction is zero. The total momentum after collision must also be zero
0 = 400(8sin35) + 650vy
vy = -2.82376... m/s
In the East direction
400(10) = 400(8cos35) + 650vx
vx = 2.121097...m/s
v = √(2.12² + 2.82²) = 3.531667... ≈ 2.53 m/s
θ = arctan(vy/vx) = arctan(-2.82/2.12) = -53.087... ≈ E53.1°S
Incident infrared radiation is blocked. Visible and ultraviolet radiation heat Earth. Earth radiates infrared radiation. Infrared radiation is blocked and heats Earth. Visible and shortwave radiation heat Earth.Earth radiates longwave radiationLongwave radiation is reflected downward Longwave radiation <span>heats Earth</span>
1. Use the equation q = nC∆T
n = mols of aluminum = 42.5g/ 6.98g/mol
C = molar heat capacity = 24.03 j/Cmol
∆T = change in T from what it was before placed in calorimeter to after =
24.9C-82.4C (because water final and metal will be same temp.)
plug in to calculate q of metal =
q = (42.5/6.98)*(24.03J)(24.9-82.4)
q = -2176.5498 J
qmetal = -q of water
plug in values for water
-(-2176.5498 J) = mC∆T (m = mass of water in grams)
m = q/C∆T
∆T=24.9-22.3 C = 2.6
2176.5498 J/(2.6x4.184) = m = 200.2714 g
