Answer:
1.65
Explanation:
The equation of the forces along the horizontal direction is:
(1)
where
F = 65 N is the force applied with the push
is the frictional force
m = 4 kg is the mass
is the acceleration
The force of friction can be written as
(2), where
is the coefficient of kinetic friction
R is the normal force exerted by the floor
The equation of forces along the vertical direction is
(3)
since the bookcase is in equilibrium. Substituting (2) and (3) into (1), we find

And solving for
,

1. What is the force of the marble?
For an object near the surface of the earth, the gravitational force acting upon the object is given by:
F = mg
F is the gravitational force, m is the object's mass, and g is the acceleration of objects due to earth's gravity.
Given values:
m = 0.025kg, g = 9.8m/s²
Plug in the given values and solve for F:
F = 0.025×9.8
F = 0.25N
2. What is the marble's potential energy at the start of its fall?
The gravitational potential energy of an object near the earth's surface is given by:
PE = mgh
PE is the potential energy, m is the object's mass, g is the acceleration of objects due to earth's gravity, and h is the object's relative height.
new given values:
h = 0.08m
Since F = mg, you can simply multiply F×h to get PE. Use the result from question 1:
PE = F×h
PE = 0.25×0.08
PE = 0.02J
Answer:
The distance is shortenend by factor .1715
Explanation:
5 n = 1/r^2
sqrt (1/5) = r
170 n = 1 / ( x sqrt(1/5))^2
(xsqrt 1/5)^2 = 1/170
x sqrt 1/5 = .076696
x = .1715
Answer: The reflected ray will be 44 degrees.
Explanation: The Law of Reflection states the angle of incidence ( the incoming light ray) equals the angle of reflection ( the light ray being reflected) Therefore, the angle of reflection will be 44 degrees.
Hope that helped!
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