Answer:
She can swing 1.0 m high.
Explanation:
Hi there!
The mechanical energy of Jane (ME) can be calculated by adding her gravitational potential (PE) plus her kinetic energy (KE).
The kinetic energy is calculated as follows:
KE = 1/2 · m · v²
And the potential energy:
PE = m · g · h
Where:
m = mass of Jane.
v = velocity.
g = acceleration due to gravity (9.8 m/s²).
h = height.
Then:
ME = KE + PE
Initially, Jane is running on the surface on which we assume that the gravitational potential energy of Jane is zero (the height is zero). Then:
ME = KE + PE (PE = 0)
ME = KE
ME = 1/2 · m · (4.5 m/s)²
ME = m · 10.125 m²/s²
When Jane reaches the maximum height, its velocity is zero (all the kinetic energy was converted into potential energy). Then, the mechanical energy will be:
ME = KE + PE (KE = 0)
ME = PE
ME = m · 9.8 m/s² · h
Then, equallizing both expressions of ME and solving for h:
m · 10.125 m²/s² = m · 9.8 m/s² · h
10.125 m²/s² / 9.8 m/s² = h
h = 1.0 m
She can swing 1.0 m high (if we neglect dissipative forces such as air resistance).
Answer:
The total work done by friction is -2 · μ · m · g · D
Explanation:
Hi there!
The work done by a force is calculated as follows:
W = F · d · cos θ
Where:
W = work.
F = force that does the work.
d = displacement.
θ = angle between the displacement and the force.
If the force is horizontal, as in this case, cos θ = 1
The friction force is calculated as follows:
Ffr = μ · m · g
Where:
μ = friction coefficient.
m = mass of the object.
g = acceleration due to gravity.
Then, in this case, the work done by friction when pushing the block from A to B will be:
W AB = -Ffr · D
W AB = - μ · m · g · D
Notice that the friction force is negative because it is opposite to the pushing force P.
When the block is pushed from B to A, the work done by friction will be:
W BA = Ffr · (-D)
W BA = -μ · m · g · D
Now, the displacement is negative and the friction force is positive (in the opposite direction to -P).
The total work done by friction will be:
W AB + W BA = - μ · m · g · D - μ · m · g · D = -2 μ · m · g · D
Answer:
A production certificate Shows that the aircraft met FAA construction and performance standards
Explanation:
Federal Airport Authority (FAA), is the body that check the standard operations of air craft activities in a country.