SCIENCE HELP!!!!!!!!!!!!!!!!!!!!!!!
1 answer:
You might be interested in
Answer:
the coin does not slide off
Explanation:
mass (m) = 5 g = 0.005 kg
distance (r) = 15 cm = 0.15 m
static coefficient of friction (μs) = 0.8
kinetic coefficient of friction (μk) = 0.5
speed (f) = 60 rpm
acceleration due to gravity (g) = 9.8 m/s^{2}
lets first find the angular speed of the table
ω = 2πf
ω = 2 x π x 60 x
ω = 6.3 s^{-1]
Now lets find the maximum static force between the coin and the table so we can get the maximum velocity the coin can handle without sliding
static force (Fs) = ma
static force (Fs) = μs x Fn = μs x m x g
Fs = 0.8 x 0.005 x 9.8 = 0.0392 N
Fs = ma
0.0392 = 0.005 x a
a = 7.84 m/s^{2}
= a x r
= 7.84 x 0.15
Vmax = 1.08 m/s
ωmax =
ωmax = = 7.2 s^{-1}
now that we have the maximum angular acceleration of the table, we can calculate its maximum speed in rpm
Fmax =
Fmax = = 68.7 rpm
since the table is rotating at a speed less than the maximum speed that the static friction can hold coin on the table with, the coin would not slide off.
<u>We are given:</u>
Direction of motion: 25 degrees south of the east axis
Distance covered = 125 m
<u>East component of the Ball:</u>
<em>this component is denoted by green color in the image</em>
Once we drop a perpendicular from the end of the direction vector on the x-axis, we get a right angled triangle
The magnitude of the side of the triangle on the x-axis denotes the east component of the ball
Using trigonometry, we find that the east component of the ball is:
125 * Cos(25 degrees)
125 * 0.9 = 112.5 i (here, i denotes rightward direction on the x-axis)
<u />
<u>North Component of the Ball:</u>
<em>this component is denoted by blue color in the image</em>
Using trigonometry, we find that the North component of the ball is:
125* Sin(25 degrees) (-j) <em>[j denotes upward movement on the y-axis, since the vector is acting downwards, we have used '-j']</em>
125 * 0.42 (-j)
52.5 (-j) = -52.5 j
Therefore the direction vector of the ball is 112.5 i - 52.5 j
<em>where 112.5 i is the East Component and -52.5 is the North Component</em>
