In triangle ABC , using Pythagorean theorem
BC = sqrt(AB² + AC²)
r = sqrt(y² + x²) eq-1
taking derivative both side relative to "t"
dr/dt = (1/(2 sqrt(y² + x²) ) ) (2 y (dy/dt) + 2 x (dx/dt))
dr/dt = (1/(2 sqrt(0.5² + 0.5²) ) ) (2 (0.5) (dy/dt) + 2 (0.5) (dx/dt))
dr/dt = (1/(2 sqrt(0.5² + 0.5²) ) ) ( v₁ + v₂)
15= (1/(2 sqrt(0.5² + 0.5²) ) ) ( - 30 + v₂)
v₂ = 51.2 m/s
A: w=mg w=13(9.8) w= 127.4
B: 13kg
C: w=mg w=13(1.6) w= 20.8
D: The force of gravity is less on the moon than on earth therefore making the dog weigh less.
Answer:

Explanation:
According to the given reaction,
heat released by thecombustion of 2 molecules of Methanol, 
we know that molecular mass of Methanol, 
∴12 gram of methanol = 
we know 1 mole = 
so,

Heat from the combustion of
:


<u>Now the mass of water that can be heated from 23.5°C to 88.2°C :</u>



Answer:
B) Inertia is the resistance of any physical object
Answer:
0.44c
Explanation:
We know that
Time interval at speed (ts)= time interval at rest(tr) / gamma
where
gamma = √[1-(v/c)²]
ts = tr / gamma
tr/ts = gamma
But
Ss/Sr = gamma
Where
Sr = clock speed at rest, Ss at speed):
So
√[1-(v/c)²] = 2/5
1 - (v/c)² = 4/25
(v/c)²= 5/25
v/c = √5 / 5
v = 0.444c