Physics, 17.07.2019 20:20 flex23

Abartender slides a beer mug at 1.6 m/s towards a customer at the end of a frictionless bar that is 1.1 m tall. the customer makes a grab for the mug and misses, and the mug sails off the end of the bar.
(a) how far away from the end of the bar does the mug hit the floor?
m
(b) what are the speed and direction of the mug at impact?
speed m/s
direction ° below the horizontal

Answers: 3

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Answers

Answer from: Bhoom1871

(a): the mug hits the floor 0.752m away from the end of the bar.

(b): the speed of the mug at impact are:

V= 4.87 m/s

direction= 70.82º below the horizontal.

Explanation:

Vx= 1.6 m/s

Vy=?

h= 1.1 m

g= 9.8 m/s²

t is the fall time

$t=\sqrt{\frac{2*h}{g} }$

t=0.47 sec

Vy= g*t

Vy= 4.6 m/s

$V=\sqrt{Vx^{2} +Vy^{2}$

V= 4.87 m/s

α= tan⁻¹(Vy/Vx)

α= -70.82º

Answer from: jess7kids

(a) x = 0.758 m

(b) v = 4.9 m/s, α = 70.97° below the horizontal

Explanation:

The movement is semi-parabolic because the initial velocity is horizontal.

The equations of semiparabolic motion are:

x movement : uniform line movement

x= vx*t Equation (1)

Where:

x: horizontal position in meters (m)

t : time (s)

vx: horizontal velocity in m/s

y movement: free fall motion

y = (1/2)g*t² Equation (2)

vy= g*t Equation (3)

Where:

y: vertical position in meters (m)

t : time in seconds (s)

vy: vertical velocity in m/s

g: acceleration due to gravity in m/s²

Data

Vx = 1.6 m/s

y = 1.1 m

g = 9.8 m/s²

Time it takes for the beer mug to hit the floor

We replace in the formula (2)

y = (1/2)g*t²

1.1 = (1/2) (9.8)*t²

t² =(2*1.1)/ (9.8)

$t = \sqrt{\frac{2*1.1}{9.8} }$

t= 0.474 s

Horizontal distance the mug reaches

We replace vx= 1.6 m/s and t= 0.474 s in the formula (1):

x = vx*t = (1.6) *(0.474)

x = 0.758 m

Speed (v) and direction (α) of the mug at impact :

In the Equation (3): vy= g*t = 9.8* 0.474 = 4.645 m/s (downward)

$v = \sqrt{v_{x}^{2}+v_{y}^{2} }$

$v = \sqrt{1.6^{2}+4.645^{2} }$

v = 4.9 m/s

$\alpha = tan^{-1} (\frac{v_{y} }{v_{x} } )$

$\alpha = tan^{-1} (\frac{-4.645 }{1.6} )$

α = - 70.97°

α = below the horizontal

Answer from: Quest

are there options? cause you ain’t. real specific

Answer from: Quest

scattering of light by tiny particles in air to produce the colors we see on sky, is dependent on the following factors:

(i) wavelength of light

(ii) size of the scattering particle

(iii) distance traveled by light through the atmosphere.

according to rayleigh's law of scattering, the amount of scattering is inversely proportional to the fourth power of its wavelength. shorter the wavelength, greater is its scattering. hence violet/blue light is scattered more than red.

sun's light is a composite light ( visible light) with wavelengths in the range 400 nm (violet) to 700 nm (red). as sunlight passes through our atmosphere, the molecules of air scatter light according to their wavelengths. during sunrise and sunset, the sun's position is below the horizon. hence light from the sun travels a greater distance in the atmosphere when compared to its position a noon.

as sunlight enters the earth's atmosphere, blue light is scattered away and at the end of its journey in the sky, only red and orange wavelengths remain in the beam.

hence at sunrise and sunset, the sky appears reddish orange.