please help me fast on physics!?
A spaceship traveling at 0.70c relative to the earth fires a projectile at 0.60c. The velocity of the projectile as measured from the earth is ____ c. The projectile when at rest is roughly shaped like a cylinder with a length of 0.50 m, a diameter of 0.20 m and is made of steel which has a density of 8050 kg/m3. Its rest mass to the nearest kilogram is ____. After being fired, a person on the earth would calculate its density to be ____ x10^ ____ kg/m3.
- billrussell42Lv 72 months agoFavourite answer
"fires a projectile at 0.60c" ? relative to what ? assuming relative to the spaceship.
big assumption, the projectile is fired away from the observer....
other directions will give different results.
relativistic speed addition
S = (v+u)/(1+vu/c²)
S = (0.7c+0.6c)/(1+0.6•0.7) = 1.3c/(1+0.42) = 0.915c
Cylinder V = πr²h = π(0.1)²0.5 = 0.0157 m³
8050 kg/m³ x 0.0157 m³ = 126 kg
again, the direction is important.
away or towards, they cannot see the length, just the diameter, which is unchanged
at right angles to the observer:
L' = L/γ
γ = 1/√(1–(V²/c²)) = 1/√(1–(0.915²)) = 2.48
apparent length 0.5/2.48 = 0.202 m
but they cannot see the diameter, so volume is unknown.