Use the law of conservation of momentum. Since the momentum is a linear measure, we can treat each of the dimension separately:
i-direction:
j-direction:
Answer: Final velocity is: (10i + 15j) m/s
Change in the kinetic energy:
Answer: The system lost 500J worth of kinetic energy in the collision
<span>EP (potential energy) = mgy -> (59)(9.8)(-5) = -2,891
EP + EK (kinetic energy) = 0; but rearranging it for EK makes it EK = -EP, such that EK = 2891 when plugged in.
EK = 0.5mv^2, but can also be v = sqrt(2EK/m).
Plugging that in for sqrt((2 * 2891)/59), we get 9.9 m/s^2 with respect to significant figures.</span>
The upward force of the chain on the diamond would be the tension in the chain, and this tension would have to support the weight of the 45g that hangs from the chain.
mass = 45 g = 45/1000 kg = 0.045kg
Weight = mg = 0.045 * 10 ≈ 0.45N, g ≈ 10 m/s²
<span>So the upward force is ≈ </span><span>0.45N. </span>
Light will travel more slowly in a material with a higher index of refraction
The power delivered is equal to the product between the voltage V and the current I:
This power is delivered for a total time of
, so the total energy delivered to the battery is
