A passenger on a boat moving at 2.50 m/s on a still lake walks up a flight of stairs at a speed of 0.60 m/s (Figure 1). The stairs are angled at 45∘ pointing in the direction of motion as shown. What is the magnitude of the velocity of the passenger relative to the water?

Answers

Answer 1

The magnitude of the velocity of the passenger on a boat moving at 2.50 m/s on a still lake relative to the water is 2.95 m / s

Velocity of man = 0.6 m / s

Velocity of ship = 2.5 m / s

Resolving the velocity of man walking at an angle of 45° into its X and Y components.

X-components of velocity of man = 0.6 * cos 45°

X-components of velocity of man = 0.42 m / s

Y-components of velocity of man = 0.6 * sin 45°

Y-components of velocity of man = 0.42 m / s

[tex]V_{x}[/tex] = 0.42 + 2.5

[tex]V_{x}[/tex] = 2.92 m / s

[tex]V_{y}[/tex] = 0.42 m / s

V² = [tex]V_{x}[/tex]² + [tex]V_{y}[/tex]²

V² = 2.92² + 0.42²

V² = 8.53 + 0.18

V = √ 8.71

V = 2.95 m / s

Therefore, the magnitude of the velocity of the passenger relative to the water is 2.95 m / s

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Related Questions

A vertical wire, suspended from one end is stretched by attaching a weight of 20N to the lower end. If the weight extends the wire by Imon. Calculate the energy gained​

Answers

A vertical wire suspended from one stop is tensioned by attaching a 20N weight to the lower stop. If you have weight, use Imon to stretch the wire. Energy source​: `W=(1)/(2) f xx l=(1)/(2) xx 20 xx 10^(-3)` `= 0.01J`.

In physics, power is a quantitative property that is transferred to an identifiable frame or physical device in the form of labor productivity and warmth and tenderness. Electricity is a stored quantity. Energy conservation regulations state that energy can be transformed into form, but cannot be created or destroyed.

Energy exists in various characteristic documents. Examples include light energy, thermal energy, mechanical energy, gravity, electrical energy, sound electricity, chemical power, and nuclear or nuclear energy. Each form can be transformed or transformed into a different bureaucracy. Power is in everything we consume, eat, and use. Power supplies and regulates the body's natural internal abilities. It is used to support cells and tissues in the body, build muscle, and is important for maintaining homeostasis. The harsher the environment, the more energy it takes to maintain.

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The volume of asamplea saof nitrogen gas is 88mLat 25°C and 1.0 atm. Whatis its volume in LatSTP?V₁=88mL T₁=25°CV₂=? T₂=23°2

Answers

Given:

V1= 88 ml

P1= 1 atm

T1= 25°C= 298.15 K

STP conditions:

P2= 1atm

T2= 273.15 K

Apply :

[tex]\frac{P1V1}{T1}=\frac{P2V2}{T2}[/tex]

Replacing:

[tex]\frac{1(88)}{298.15}=\frac{1(V2)}{273.15}[/tex][tex]88(273.15)=298.15V2[/tex][tex]\frac{88(273.15)}{298.15}=V2[/tex]

V2= 80.62 ml

Suppose you apply a flame and heat one liter of water, raising its temperature 10 degrees celsius. If you transfer the same heat energy to two liters, how much will the temperature rise?

Answers

Transferring the same heat energy to two litres the temperature will rise by 5 degree celsius.

What is temperature and how the temperature rise to be 5 degree celsius?Temperature is the measure of degree of hotness and coldness , to either measure the temperature of room or weather.Here in this question we are applying a flame and heat one litre of water by which the temperature is raised 10 degree celsius.Now we are transferring the same heat energy to two litres , then the temperature rise is asked.The d , density of water =1000 kg/m^3 , using the equation Q= mCdelT  , where C = 4.18 KJ.The heat we got is 41.8 KJ,  the change is temperature comes out to be 5 degree celsius.

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How do I solve this?

An Alaskan rescue plane drops a package of emergency rations to a
stranded party of explorers. If the plane is traveling horizontally at 40.0
m/s at a height of 100 m off the ground, where does the package strike
relative to where it is released? (Hint. Use the plane as your origin (x=0,
y=0 and remember to use our 6 step process)

Answers

The horizontal distance travelled by the package is 180.8 m.

What is the time of motion of the package?

The time of motion of the package is the time taken for the package to travel from its initial position to the given height.

The time taken for the package to travel through the given distance is calculated as follows;

h = vt + ¹/₂gt²

where;

v is the vertical velocity of the package = 0t is time of motionh is the height through which the package travelledg is acceleration due to gravity

h =  ¹/₂gt²

2h = gt²

t = 2h/g

t = √(2h/g)

t = 4.52 seconds

The horizontal distance travelled by the package is calculated as follows;

X = Vxt

where;

Vx is the horizontal velocity of the packaget is the time of motion

X = (40 m/s) x (4.52 s)

X = 180.8 m

Thus, the distance the package strike relative to where it was released is the horizontal displacement of the package.

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