Answer:
2.9 m/s
Explanation:
Momentum will be conserved
Speed of the ball just before collision is
v = √2gh = √(2(9.8)(0.8)) = 3.96 m/s
The initial momentum is 1.3(3.96) = 5.15 kg•m/s
The block takes away momentum of 0.6(2.2) = 1.32 kg•m/s
Leaving the ball with momentum of 5.15 - 1.32 = 3.83 kg•m/s
vf(ball) = 3.83 / 1.3 = 2.946... ≈ 2.9 m/s
Given:
Sample 1:
Chloroform is 
12 g Carbon
1.01 g Hydrogen
106.4 g Cl
Sample 2:
30.0 g of Carbon
Solution:
mass of chloroform from sample 1:
12 + 1.01 +106.4 =119.41 g
Now, for the total mass of chloroform in sample 2:
mass of chloroform 

mass of chloroform = 119.41 
= 298.53 g
Answer:
Explanation:
The difference in time will be due to travel through atmosphere where speed of light slows down. If t be the thickness of atmosphere and c be the speed of light in space and μ be the refractive index of atmosphere difference in travel time will be as follows .
difference = \frac{2t\mu }{c}-\frac{2t }{c}
=\frac{2t}{c }\left ( 1-\mu \right )
Now t = 40 x 10³m ,μ = 1.000293 , c = 3 x 10⁸.
difference =\frac{2t\mu }{c}-\frac{2t }{c}
=\frac{2t}{c }\left ( \mu -1 \right )\\
=\frac{ 2\times 40\times 10^3}{3\times10^3 }\left ( 1.000293-1 \right )\\
=7.81\times 10^{-3}
s
Answer:
Explanation:
If friction is neglected, the wheel cannot roll and can only slide frictionlessly and will have the same velocity at the bottom of the ramp as if it had been in free fall as it has converted the same amount of potential energy.
mgh = ½mv²
v = √(2gh) = √(2(9.81)(2.00)) = 6.26418... = 6.26 m/s
However if we do not ignore all friction and the wheel rolls without slipping down the slope, the potential energy becomes linear and rotational kinetic energy
mgh = ½mv² + ½Iω²
mgh = ½mv² + ½(½mR²)(v/R)²
2gh = v² + ½v²
2gh = 3v²/2
v = √(4gh/3) =√(4(9.81)(2.00)/3) = 5.11468... = 5.11 m/s