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3 years ago

batman recharges his bat taser with 2.5mj of energy in 15 minutes how much power does it draw from the mains

Physics

1 answer:

aalyn [17]3 years ago

3 0

Power = (energy) / (time)

15 minutes = 900 seconds

Power = (2.5mJ) / (900 sec)

Power = 0.00278 mWatts

If your 'm' means 'Mega...', then power = 2,777.8 watts ... about the same as a hefty restaurant toaster, or home microwave oven when it's cooking.

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A wheel rotates about a fixed axis with an initial angular velocity of 13 rad/s. During a 8-s interval the angular velocity incr

____ [38]

Answer:

The number of revolutions is 44.6.

Explanation:

We can find the revolutions of the wheel with the following equation:

$\theta = \omega_{0}t + \frac{1}{2}\alpha t^{2}$

Where:

$\omega_{0}$ : is the initial angular velocity = 13 rad/s

t: is the time = 8 s

α: is the angular acceleration

We can find the angular acceleration with the initial and final angular velocities:

$\omega_{f} = \omega_{0} + \alpha t$

Where:

$\omega_{f}$ : is the final angular velocity = 57 rad/s

$\alpha = \frac{\omega_{f} - \omega_{0}}{t} = \frac{57 rad/s - 13 rad/s}{8 s} = 5.5 rad/s^{2}$

Hence, the number of revolutions is:

$\theta = \omega_{0}t + \frac{1}{2}\alpha t^{2} = 13 rad/s*8 s + \frac{1}{2}*5.5 rad/s^{2}*(8 s)^{2} = 280 rad*\frac{1 rev}{2\pi rad} = 44.6 rev$

Therefore, the number of revolutions is 44.6.

I hope it helps you!

4 0

3 years ago

Suppose you have two small pith balls that are 5.5 cm apart and have equal charges of -29 nc?

zysi [14]

The question is missing, however, I guess the problem is asking for the value of the force acting between the two balls.

The Coulomb force between the two balls is:
$F= k_e \frac{ q_1 q_2}{r^2}$
where $k_e=8.99\cdot10^9~N m^2 C^{-2}$ is the Coulomb's constant, $q_1=q_2=29~nC=29\cdot 10^{-9}~C$ is the intensity of the two charges, and $r=5.5~cm=0.055~m$ is the distance between them.

Substituting these numbers into the equation, we get
$F=2.5~10^{-3}~N$

The force is repulsive, because the charges have same sign and so they repel each other.

6 0

3 years ago

The period of a wave is the reciprocal of its ______________.

Hunter-Best [27]

Frequency

hope it helps !

6 0

3 years ago

A radioactive nucleus has a half-life of 5*108 years. Assuming that a sample of rock (say, in an asteroid) solidified right afte

Gre4nikov [31]

Answer:

0.002

Explanation:

The half-life of the radioactive nucleus is related to its quantity, by the following equation:

$N_{t} = N_{0}2^{-t/t_{1/2}}$

Where:

N(t): is the quantity of the radioactive nucleus at time t

N₀: is the initial quantity of the radioactive nucleus

t: is the time = 4.5x10⁹ years

t(1/2): is the half-life of the radioactive nucleus = 5x10⁸ years

$\frac{N_{t}}{N_{0}} = 2^{-4.5 \cdot 10^{9} y/5 \cdot 10^{8} y} = 2 \cdot 10^{-3}$

Therefore, the fraction of the radioactive element in the rock today is 0.002.

I hope it helps you!

7 0

3 years ago

a car starts at rest and accelerates at a rate of 2.75 m/s/s. What is its speed 3.726 seconds after it starts to move?

Maksim231197 [3]

If the rate of acceleration is constant, than the object's velocity at a given time will be the rate of acceleration multiplied by the duration of time over which it is accelerating. In this instance, the car is accelerating at 2.75 m/s^2 for 3.726 seconds. So, multiplying 2.75*3.726, we get a speed of 10.25 m/s after this period of time.

5 0

3 years ago

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