I need numbers 1, 3, 4, and 5 worked out with work please shown. No shortcuts pl
ID: 1280880 • Letter: I
Question
I need numbers 1, 3, 4, and 5 worked out with work please shown. No shortcuts please. Work any four - and only four of the problems below. A car moving at 30 m/s hits a tree It comes to rest in a distance of 0.25 m. Assuming uniform deceleration, find the time taken to stop and the average deceleration. A proton moving with speed 1 Times 102 m/s passes through a 0.02 cm thick sheet of paper and emerges with a speed of 2 Times 10 m/s Assuming uniform deceleration find the deceleration and the time taken to pass through the paper A man holds a flower pot out a window 12 m from the ground. He tosses the pot upward with a speed of 5 m/s. How long does it take the pot to reach the ground' How fast is it moving just before it hits? How fast must a ball be rolled along a 100 cm high table so that when it rolls off the edge, it will strike the floor at this same distance (100 cm) from the point directly below the table edge? A ball is thrown with a speed of 20 m/s at an angle of 40 degrees above me horizontal n land, on me roof of a building at point displaced 20 m horizontally from the throwing point. How high above the throwing point is the roof?Explanation / Answer
1) v^2 = v0^2 + 2 a x
0 = 30^2 -2*a*0.25
a=1800 m/s^2
v = v0 + a t
0 = 30 -1800*t
t = 0.017 s
2)
v^2 = v0^2 + 2 a x
2.0E6^2 = 1.0E7^2 -2*a*0.02E-2
a=2.4E17 m/s^2
v = v0 + a t
2.0E6 = 1.0E7 - 2.4E17*t
t= 3.33E-11 s
3)
y = y0 + v0y t + 1/2 a t^2
0 = 12 + 5*t - 0.5*9.81*t^2
t=2.15 s
v = v0 + a t = 5 -9.81*2.15= -16.1 m/s
4)
y direction
y = y0 + v0y t +1/2 a t^2
0 = 1 + 0*t - 0.5*9.81*t^2
t=0.45 s
x direction
x = v t
1 = v*0.45
v=2.22 m/s
5)
x direction
x = vx t
20 = 20*cos(40 degrees)*t
t=1.31 s
y direction
y = y0 + v0y t + 1/2 a t^2 = 20*sin(40 degrees)*1.31 - 0.5*9.81*1.31^2= 8.4 m