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16) Durig a lecture demonstration, a professor places two coins on the edge of a

ID: 1406878 • Letter: 1

Question

16) Durig a lecture demonstration, a professor places two coins on the edge of a table. she then flicks one of the coins horizontally off the table, simultaneously nudging the other over the edge. Describe the subsequent motion of the two coins, in particular discussing whether they hit the floor at the same time.

25) A projectile is launched at ground level with an initial speed of 50.0m/s at an angle of 30 oC above the horizontal . it strikes a target above the ground 3.00 seconds later. what are the x and y distance from where the projectile was launched to where it lands?

Explanation / Answer

16)

for the horizantal coin

in horizantal

vox = v

x = vox*t


t = x/v


in vertical direction


voy = 0

a = -g

y = -h

from equations of motion


y = voy*t + 0.5*a*t^2

y = (a/2v^2)x^2

the path is parabola


if the coin touches ground after T time

y = -h

a = -g


T = sqrt(2h/g)

for other coin


voy = 0

a = -g

y = -h

from equations of motion


y = voy*t + 0.5*a*t^2

-h = 0 - 0.5*g*t^2

path is a straight line


T = sqrt(2h/g)


both will reach at the same time


++++++++++++

25)

along horizantal


vx = v*cos30 = 50*cos30

x = vx*T = 50*cos30*3 = 130 m

y = voy^T + 0.5*g*T^2

y = v*sin30*T - 0.5*g*T^2


y = (50*sin30*3)-(0.5*9.8*3^2)

y = 31 m

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