Answer:
LHS=RHS=[L]
Explanation:
Given mathematical expression:
where: dimension:
s = displacement length
u = initial velocity
t = time
a = acceleration
now using dimensional analysis:
we know that the ratio and constants have no dimension.
as we know that only similar dimensions can be added or subtracted therefore we get a correct conclusion.
<em>However we can deduce the operators between the equations and can neither check for the validity of the constants. We can only check for the dimension of the terms involved.</em>
Explanation:
force= mass × acceleration.
acceleration = force /mass = 500N/10 kg =50m/s².
hope this helps you.
Answer:
the first one, The object moving through air
Answer:
a) μ = 0.247, b) 0.574 m/s
Explanation:
a) Let's use Newton's second law
F = m a
As the table is spinning the acceleration is centripetal
a = v² / r
The force that holds the penny is the force of rubbing
F = fr
fr = μ N
On the vertical axis
N-W = 0
N = mg
Let' replace
μ mg = m v² / r
μi g = v² / r
Mou = v² / gr
Let's calculate
μ = 0.574² / (9.8 0.136)
μ = 0.247
b) for this new mass
fr = m a
μ mg = m v² / r
μ g= v² / r
We can see that the speed does not depend on the mass, so the speed of the coin will be the same