Someone help me with these questions please!

A charged capacitor is connected to an ideal inductor to form an LC circuit with a frequency of oscillation f = 1.6 Hz. At time

IrinaK [193]

Answer:

$8.0\mu C$

Explanation:

We are given that

$f=1.6 Hz$

$q=3.0\mu C=3.0\times 10^{-6} C$

$1\mu C=10^{-6} C$

Current,I= $75\mu A=75\times 10^{-6} A$

$1\mu A=10^{-6} A$

We have to find the maximum charge of the capacitor.

Charge on the capacitor, $q=q_0cos\omega t$

$\omega=2\pi f=2\pi\times 1.6=3.2\pi rad/s$

$3\times 10^{-6}=q_0cos3.2\pi t$ ....(1)

$I=\frac{dq}{dt}=-q_0\omega sin\omega t$

$75\times 10^{-6}=-q_0(3.2\pi)sin3.2\pi t$ ....(2)

Equation (2) divided by equation (1)

$-3.2\pi tan3.2\pi t=\frac{75\times 10^{-6}}{3\times 10^{-6}}=25$

$tan3.2\pi t=-\frac{25}{3.2\pi}=-2.488$

$3.2\pi t=tan^{-1}(-2.488)=-1.188rad$

$q_0=\frac{q}{cos\omega t}=\frac{3\times 10^{-6}}{cos(-1.188)}=8.0\times 10^{-6}=8\mu C$

Hence, the maximum charge of the capacitor= $8.0\mu C$

4 0

4 years ago

An astronaut is taking a space walk near the shuttle when her safety tether breaks. What should the astronaut do to get back to

Alexxandr [17]

Answer:

option (c)

Explanation:

According to the newton's third law, for every action there is an equal and opposite reaction.

As the astronaut throw the tool away from the shuttle, it means the action force is in the direction away from the shuttle and according to Newton's third law, the reaction force is getting in the direction of shuttle.

3 0

4 years ago

A truck’s suspension spring each have a spring constant of 769 N/m. If the potential energy of the right front spring is 250 J,

Alex Ar [27]

Answer:

x = 0.81 m

Explanation:

given,

spring constant, k = 769 N/m

Potential energy of the spring = 250 J

distance of spring compression = ?

using conservation of energy

potential energy will equal to the spring energy

$PE = \dfrac{1}{2}kx^2$

$250= \dfrac{1}{2}\times 769\times x^2$

x² = 0.650

x = 0.81 m

Hence, the spring is compressed to 0.81 m

6 0

3 years ago

In an earlier chapter you calculated the stiffness of the interatomic "spring" (chemical bond) between atoms in a block of lead

fiasKO [112]

Answer:

8.01e-22

Explanation:

7 0

3 years ago

a bicycle rider pedals towards a hill at a speed of 7.5w/s. the combined mass of the bicycle and the rider is 75.0kg the cycle a

siniylev [52]

Answer:

2.8125 meters

Explanation:

I will assume 7.5 m/s

When the Kinetic Energy is entirely converted to Potential energy the max height will have been reached

KE = PE

1/2 m v^2 = mgh divide by m

1/2 v^2 = gh looking for h so divide both sides by

1/2 v^2 / g = h sub in the values using g = 10 m/s^2

1/2 ( 7.5 )^2 / 10 = 2.8125 m

4 0

2 years ago