The ideal mechanical advantage (IMA) can be determined by the following equation:
IMA= Input distance/Output distance
The Input distance and Output distance are:
Input distance=220 meters
Output distance=110 meters
When you substitute in the equation of the ideal mechanical advantage (IMA), you obtain:
IMA= Input distance/Output distance
IMA= 220 meters/110 meters
IMA=2
Answer:
155.5 rev/min
Explanation:
First, we will calculate the initial moment of inertia I_o. We will consider the ice skater as a rod rotating around its axis. Then, we calculate the final moment of inertia I_f. In this occasion we consider the arms as a rod of length L that is horizontally positioned, L so that the length of an arm is L/2. We will call M_1 the mass that remains close to the rotation axis (90 percent) and M_2 the mass located at the arms (10 percent). Finally, we write the equation for the conservation of angular momentum and we solve for ω_f.
I_o=MR^2/2
=(45)(0.15)^2/2
=0.5 kgm^2
M_1=(0.9)(45)
=40.5 kg
M_2=(0.1)(45)
=4.5 kg
I_f=M_1*R^2/2+M_2*L^2/12
=1.1 kg m^2
I_f*ω_f=I_o*ω_o
ω_f = I_o*ω_o/ I_f
=155.5 rev/min
Answer:





Explanation:
To determine the normal force, we just need to analyze the situation along the vertical direction.
The box along the vertical direction is in equilibrium, so the equation of the forces is

which means that

The net force can be determined by looking at the situation along the horizontal direction (since the net force in the vertical direction) is zero. Here we have:
- An applied force of 20 N forward, 
- A frictional force of 10 N backward, 
So, the net force is
in the forward direction
The expression for the frictional force is

where
is the coefficient of friction. Solving for
,

The force of gravity is given by

where m is the mass of the object and
. Solving for m, we find the mass of the object:

Finally, the acceleration can be found by using Newton's second law

where a is the acceleration. Solving for a,

Answer:
1753246.75325 V/m
Explanation:
d = Distance of separation = 1.54 cm
V = Potential difference = 27 kV
When the voltage is divided by the distance between the plates we get the electric field.
Electric field is given by

The magnitude of the electric field in the region between the plates is 1753246.75325 V/m
Top of first hill:
high PE
low KE
bottom first hill:
low PE
high KE
Friction slows the speed of the roller coaster