Answer:
4.25 mm
Explanation:
σ = E ∙ ∆L/L₀
where σ is stress,
E is Young's modulus,
and ∆L/L₀ is strain (∆L is the deflection, L₀ is the initial length).
Plugging in values:
1.53×10⁸ Pa = (1.8×10¹⁰ Pa) ∆L / (500 mm)
∆L = 4.25 mm
Answer:
The object distance is 20cm
Explanation:
Given
Magnification = -1.5
Image distance = 30 cm.
Required
Object Distance
We can calculate the object's distance using magnification formula;
M = -V/U
Where M = Magnification = -1.50
V = Image Distance = 30cm
U = Object Distance
Substitute the above parameters in the formula above.
-1.50 = -30/U
Multiply both sides by -1
-1.50 * -1 = -30/U * -1
1.50 = 30/U
Multiply both sides by U
1.50 * U = 30/U * U
1.50U = 30
Divide through by 1.50
1.50U/1.50 = 30/1.50
U = 30/1.50
U = 20cm
Recall that U represented the object distance.
Hence, the object distance is 20cm
The easiest way I know to explain it is this:
-- Take a flashlight and a ball into a dark room.
-- Turn on the flashlight and point it at the ball.
-- Half of the ball is lighted up by the flashlight, and the other half is dark.
-- There is no way you can turn or twist the ball to make more or less
than 50% of it lighted up and more or less than 50% of it dark.
<em>Everything</em> in the solar system ... as long as it's shaped like a ball ... is
half illuminated by the sun and half dark.
Answer:
The time required by object to achieve velocity 58 m/s is 5.918 second.
Given:
acceleration = 9.8 
Initial velocity = 0 m/s
final velocity = 58 m/s
To find:
Time required by object = ?
Formula used:
According to first equation of motion is given by,
v = u + at
Where, v = final velocity
u = initial velocity = 0 (Given The particle is at rest initially)
a = acceleration
t = time
Solution:
According to first equation of motion is given by,
v = u + at
Where, v = final velocity
u = initial velocity = 0 (Given The particle is at rest initially)
a = acceleration
t = time
58 = 0 + 9.8 (t)
t = 
t = 5.918 s
The time required by object to achieve velocity 58 m/s is 5.918 second.
Normal reaction force on the block while it is at rest on the inclined plane is given as

here we know that
m = 46 kg

now we will have

now the limiting friction or maximum value of static friction on the block will be given as


Above value is the maximum value of force at which block will not slide
Now the weight of the block which is parallel to inclined plane is given as

here we know that

Now since the weight of the block here is less than the value of limiting friction force and also the block is at rest then the frictional force on the block is static friction and it will just counter balance the weight of the block along the inclined plane.
So here <u>friction force on the given block will be same as its component on weight which is 218.55 N</u>