You and a friend are studying late at night. There are three 110 W light bulbs and a radio with an internal resistance of 56.0 Ω
1 answer:
Answer:
The total electrical power we are using is: 1316 W.
Explanation:
Using the ohm´s law and the formula for calculate the electrical power, we can find the total electrical power that we are using. First we need to find each electrical power that is using every single component, so the radio power is:
, so the radio power is:
, then we find the pop-corn machine power as:
and finally there are three light bulbs of 110(W) so: P=3*110(W)=330(W) and the total electrical power is the adding up every single power so that: P=330(W)+770(W)+216(W)=1316(W).
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Answer:
V = 3.6385 m/s
θ = 47.46 degrees
Explanation:
the important data in the question is:
Skater 1:
= 39.6 kg
direction: south (axis y)
= 6.21 m/s
Skater 2:
= 52.1 kg
direction: east (axis x)
= 4.33 m/s
Now using the law of the conservation of linear momentum ( and knowing that the collision is inelastic we can do the next equations:
(eq. 1)
(eq. 2)
Where and
is the velocity of the sistem in x and y after the collision.
Note: the conservation of the linear momentum have to be make once by each axis.
Now, in the (eq. 1) the skater 1 don't have velocity in the axis x, so we can replace by 0 in the equation and get:
(eq. 1)
also, in the (eq. 2) the skater 2 don't have velocity in the axis y, so we can replace by 0 in the equation and get:
(eq. 2)
Now, we just replace the data in both equations:
(eq. 1)
(eq. 2)
solving for and
we have:
= 2.46 m/s
= 2.681 m/s
using the pythagoras theorem we can find the magnitude of the velocity as:
V =
V = 3.6385 m/s
For find the direction we just need to do this;
θ =
θ = 47.46 degrees
Answer: 3,893,845.918 Ping-Pong balls
Explanation:
The volume of an average room is:
(1)
(2)
Now let’s transform this to units of
, knowing
:
(3)
On the other hand, we have Ping-Pong balls with a radius , and their volume is given by:
(4)
(5)
(6)
Now, the number of Ping-Pong balls that can be packed into the room is:
(7)
(8)
This is the number of Ping-Pong balls that can be packed into an average size room