Answer:



Explanation:
Notice that this is a circuit with resistors R1 and R2 in parallel, connected to resistor R3 in series. It is what is called a parallel-series combination.
So we first find the equivalent resistance for the two resistors in parallel:

By knowing this, we can estimate the total current through the circuit,:

So approximately 0.17 amps
and therefore, we can estimate the voltage drop (V3) in R3 uisng Ohm's law:

So now we know that the potential drop across the parellel resistors must be:
10 V - 4.28 V = 5.72 V
and with this info, we can calculate the current through R1 using Ohm's Law:

Answer: 6.48m/s
Explanation:
First, we know that Impulse = change in momentum
Initial velocity, u = 19.8m/s
Let,
Velocity after first collision = x m/s
Velocity after second collision = y m/s
Also, we know that
Impulse = m(v - u). But then, the question said, the guard rail delivered a "resistive" impulse. Thus, our impulse would be m(u - v).
5700 = 1500(19.8 - x)
5700 = 29700 - 1500x
1500x = 29700 - 5700
1500x = 24000
x = 24000/1500
x = 16m/s
Also, at the second guard rail. impulse = ft, so that
Impulse = 79000 * 0.12
Impulse = 9480
This makes us have
Impulse = m(x - y)
9480 = 1500(16 -y)
9480 = 24000 - 1500y
1500y = 24000 - 9480
1500y = 14520
y = 14520 / 1500
y = 9.68
Then, the velocity decreases by 3.2, so that the final velocity of the car is
9.68 - 3.2 = 6.48m/s
#5 is supposed to have a little graph showing for each choice. They're not there. Nothing to choose from.
6-C
7-A
8-B
9-D
This is the problem. It's worth saying that I'm working with the magnitudes and their respective scalar equations. That is, I'm not using vectors.
v_e_g_g_,_i = 0m/s
g = 9.81m/s^2
h_i = 30m
h_f = 3.5m
v_e_g_g_,_f = ?
t = ?
|h_f-h_i| = v_e_g_g_,_i*t + (g*t^2)/2
26.5m = 0m/s*t + ((9.81m/s^2)*(t^2))/2
t = \sqrt{2*26.5m/(9.81m/s^2)} = 2.32 s
v_e_g_g_,_f = v_e_g_g_,_i + g*t
v_e_g_g_,_f = 0m/s+(9.81m/s^2)*(2.32 s)
v_e_g_g_,_f = 22.76 m/s
Answer:
r = 14.13 m
Explanation:
Given that,
Charge 1 = +0.0129 C
Charge 2 = -0.00707 C
The force between charges, F = 4110 N
We need to find the distance between charges. Let the distance be r. The force between two charges is given by :

So, the distance between charges is equal to 14.13 m.