Answer:
1.02*10^-5 C/m²
Explanation:
Given that
Radius of the smaller sphere, r = 0.05 m
Radius of the larger sphere, R = 0.12 m
Electric field, E = 2*10^5 V/m
Formula for the electric field is
E = Q/(4πεR²)
this then means that the surface charge density of the larger sphere is
Q/4πR² = Eε = 1.77*10^-6 C/m²
and
Q = 4πεER² = 3.203*10^-7 C
is the charge on the large sphere, which is the same as the charge on the small sphere since they are connected by the wire
so the surface charge density of the smaller sphere is
Q/4πr² = 4πεER²/4πr²
Q = εER²/r²
Q = 1.02*10^-5 C/m²
Let's take the positive x-direction towards east and the positive y-direction towards south. The momentum must be conserved on both directions, after the collision. On the x-direction, initially we have only momentum from car 1, while on the y-direction initially only car 2 contributes to the total momentum of the system. After the collision, the two cars will move together with a total mass (m1+m2) and with final velocity vf, which can be decomposed on both directions. All of this translates into the equations:
(1)
(2)
where
,
,
and
.
and
are the components of the final velocity on both axes x and y.
By dividing equation (2) by (1), we get:
And the tangent of this ratio gives exactly the angle of the velocity vf in the south-east direction, with respect to the positive x-axis, so it gives us the direction of the final velocity:
Since the wires are made up of the same material, the resistivities will be the same.
Answer:
23 km/h
Explanation:
Let's take the direction "towards Lilah" as positive direction.
Then, we can write Felipe's velocity with respect to Lilah as
At the same time, Felipe throws the football forwards, towards Lilah. The velocity of the ball with respect to Felipe (and the skateboard) is
Since both Felipe and the ball are moving in the same direction, then the velocity of the ball with respect to Lilah can be calculated by adding the two velocities:
Into molecules of
sugar and
oxygen.
The complete reaction of the photosynthesis is in fact:
and the energy of the light coming from the sun is also used to make the reaction possible.