Answer:

**Answer:**

a) 10.29° upstream

b) t=338.7s

**Explanation:**

If the river is 1km wide and the destination point is 0.5km away downstream, then the angle and distance the the boat has to travel is:

The realitve velocity of the boat respect to the water is:

where β is the angle it has to be pointed at.

From the relative mvement equations:

where

From this equation we get one equation per the x-axis and another for the y-axis. If we square each of them and add them together, we will get 2 equations:

Solving for V:

**V = 3.3m/s** and V=-1.514m/s Replacing this value into one of our previous x or y-axis equations:

The amount of time:

The 160-lblb crate is supported by cables ABAB, ACAC, and ADAD. Determine the tension in these wire

Find the average speed of the electrons in a 1.0 cm diameter, copper power line, when it carries a current of 20 A.

Consult Interactive Solution 7.10 for a review of problem-solving skills that are involved in this problem. A stream of water strikes a stationary turbine blade horizontally, as the drawing illustrates. The incident water stream has a velocity of 16.0 m/s, while the exiting water stream has a velocity of -16.0 m/s. The mass of water per second that strikes the blade is 48.0 kg/s. Find the magnitude of the average force exerted on the water by the blade.

A 8.00-μF capacitor that is initially uncharged is connected in series with a 3.00-Ω resistor and an emf source with E = 70.0 V and negligible internal resistance. At the instant when the resistor is dissipating electrical energy at a rate of 300 W, how much energy has been stored in the capacitor?

A thin aluminum meter stick hangs from a string attached to the 50.0 cm mark of the stick. From the 0.00 cm mark on the meter stick hangs a 5.202 kg concrete block. From the 75.0 cm mark on the meter stick hangs a 7.99 kg steel ball. At what mark on the meter stick must a 2.46 kg wooden block be attached so that the meter stick balances horizontally when lowered into fresh water? Assume the densities of concrete, steel, and wood are 2500.0 kg/m3, 8000.0 kg/m3, and 500 kg/m3 respectively. A. 57.6 cm B. 57.4 cm C. 57.2 cm D. 57.8 cm

Find the average speed of the electrons in a 1.0 cm diameter, copper power line, when it carries a current of 20 A.

Consult Interactive Solution 7.10 for a review of problem-solving skills that are involved in this problem. A stream of water strikes a stationary turbine blade horizontally, as the drawing illustrates. The incident water stream has a velocity of 16.0 m/s, while the exiting water stream has a velocity of -16.0 m/s. The mass of water per second that strikes the blade is 48.0 kg/s. Find the magnitude of the average force exerted on the water by the blade.

A 8.00-μF capacitor that is initially uncharged is connected in series with a 3.00-Ω resistor and an emf source with E = 70.0 V and negligible internal resistance. At the instant when the resistor is dissipating electrical energy at a rate of 300 W, how much energy has been stored in the capacitor?

A thin aluminum meter stick hangs from a string attached to the 50.0 cm mark of the stick. From the 0.00 cm mark on the meter stick hangs a 5.202 kg concrete block. From the 75.0 cm mark on the meter stick hangs a 7.99 kg steel ball. At what mark on the meter stick must a 2.46 kg wooden block be attached so that the meter stick balances horizontally when lowered into fresh water? Assume the densities of concrete, steel, and wood are 2500.0 kg/m3, 8000.0 kg/m3, and 500 kg/m3 respectively. A. 57.6 cm B. 57.4 cm C. 57.2 cm D. 57.8 cm

**Answer:**

The force exerted on the roof is

**Explanation:**

From the question we are told that

The speed of the wind is

The area of the roof is

The air density of Boulder is

The atmospheric pressure is

For a laminar flow the Bernoulli’s principle is mathematically represented as

Where is the speed of air in the building

is the speed of air outside the building

are the pressure of inside and outside the house

are the height above and below the roof

Now for

The above equation becomes

Since pressure is mathematically represented as

The above equation can be written as

The initial velocity is 0

Substituting value

**Answer:**

a) Current = 11 mA

b) Energy = 66 mJ

c) Power = 101.54 W

**Explanation:**

a) Voltage, V = IR

Voltage, V = 6 V, Resistance, R = 550 Ω

Current, I

b) Energy = Current x Voltage = 6 x 0.011 = 0.066 J = 66 mJ

c)

Wavelength = (speed) / (frequency)

The speeds of the two possible signals are equal, just like

all other forms of electromagnetic radiation.

Wavelength of**895 MHz** = (3 x 10⁸ m/s) / (8.95 x 10⁸/s) = **0.335 m**

Wavelength of**2560 MHz** = (3 x 10⁸ m/s) / (2.56 x 10⁹/s) = **0.117 m**

The speeds of the two possible signals are equal, just like

all other forms of electromagnetic radiation.

Wavelength of

Wavelength of

Answer: Water on Earth was transported here by comets. The correct option is A.

Explanation:

Comets are made up of water with ice, rock and minerals.

Alot of research and hypotheses has been made to prove the origin of water on planet earth. Extraplanetary source such as comets, trans-Neptunian objects, and water-rich meteoroids (protoplanets) are believed to have delivered water to Earth.

**Answer:**

**velocity of the river is equal to 0.56 m/s**

**Explanation:**

given,

velocity of swimmer w.r.t still water = 1 m/s

width of river = 73 m

he arrives to the point = 41 m

** t = 73 s **

=

**= 0.56 m/s **

**velocity of the river is equal to 0.56 m/s**

The **acceleration **of the **particle **is 38.87 kg.

The **net magnetic field** is calculated as follows;

The **magnetic force** on the charge is calculated as follows;

The **acceleration **of the **particle **is calculated as follows;

Learn more about **magnetic force** here: brainly.com/question/13277365

**Explanation:**

It is given that,

Charge on the particle,

Mass of the particle,

Magnetic field component,

Net magnetic field,

Speed of the particle, v = 5 km/s = 5000 m/s

Angle between velocity and magnetic field,

**Magnetic force is given by :**

**Acceleration of the particle is given by, **

**So, the acceleration of the particle is 38.6 m/s². Hence, this is the required solution.**