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kiruha [24]
3 years ago
10

1. A 20.0 N force directed 20.0° above the horizontal is applied to a 6.00 kg crate that is traveling on a horizontal

Physics
1 answer:
Vilka [71]3 years ago
8 0

<em>N</em> = 52.0 N

Explanation:

Given: F_a= 20.0\:\text{N}=\:\text{applied\:force}

m=6.00\:\text{kg}

N = \text{normal force}

The net force F_{net} is given by

F_{net} = N + F_a\sin 20 - mg=0

Solving for <em>N</em>, we get

N = mg - F_a\sin 20

\:\:\:\:\:\:= (6.00\:\text{kg})(9.8\:\text{m/s}^2) - (20.0\:\text{N}\sin 20)

\:\:\:\:\:\:= 52.0\:\text{N}

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An unknown number of identical light bulbs are connected to a 15 V battery in parallel. The current through the battery is 2 A.
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Batteries are rated in terms of ampere-hours (A·h). For example, a battery that can produce a current of 2.00 A for 3.00 h is ra
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(a) 423 J

The power of the battery is the ratio between the total energy stored (E) and the time elapsed (t):

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However, the power is also the product of the voltage (V) and the current (I):

P=VI

Linking the two equations together,

\frac{E}{t}=VI\\E=VIt

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(b) 7.79\cdot 10^{-6} dollars

The battery has a total energy of E = 423 J. (2)

1 Watt (W) is equal to 1 Joule (J) per second (s):

1 W = \frac{1 J}{1 s}

so 1 kW corresponds to 1000 J/s:

1 kW = \frac{1000 J}{1 s}

Multiplying both side by 1 hour (1 h):

1 kW \cdot h = \frac{1000 J}{1 s} 1 h

and 1 h = 3600 s, so

1 kWh = \frac{1000 J}{1 s}\cdot 3600 s =3.6\cdot 10^6 J

So we find the conversion between kWh and Joules. So now we can convert the energy from Joules (2) into kWh:

1 kWh = 3.6\cdot 10^6 J = x : 423 J\\x=\frac{1 kWh \cdot 423 J}{3.6\cdot 10^6 J}=1.18\cdot 10^{-4}kWh

And since the cost is $0.0660 per kilowatt-hour, the total cost will be

C=$0.0660\cdot 1.18\cdot 10^{-4} kWh=7.79\cdot 10^{-6} dollars

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4 years ago
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