Answer:
b) a = -k / m x
, c) d²x / dt² = - A w² cos (wt+Ф)
, d) and e) T = 2π √m / k
h) a = - A w² cos (wt+Ф)
Explanation:
a) see free body diagram in the attachment
b) We write Newton's second law
Fe = m a
-k x = ma
a = -k / m x
c) the acceleration is
a = d²x / dt²
If x = A cos wt
v = dx / dt = -A w sin (wt
+Ф)
a = d²x / dt² = - A w² cos (wt+Ф)
d) we substitute in Newton's second law
d²x / dt² = -k / m x
We call
w² = k / m
e) substitute to find w
-A w² cos (wt+Ф) = -k / m A cos (wt+Ф)
w² = k / m
Angular velocity and frequency are related
w = 2π f
f = 1 / T
We substitute
T = 2π / w
T = 2π √m / k
g) v= - A w sin (wt+Ф)
h) acceleration is
a = - A w² cos (wt+Ф)
Answer:
conduction
Explanation:
conduction is a form of heat transfer whereby heat is transferred by direct contact between the heat source and the object to be heated. In the question it is stated that the pot sits directly (direct contact) on the heating coil (heat source) and the pot (object to be heated).
The momentum of an object is given by:

where
p is the momentum
m is the mass
v is the velocity of the object
The ball in our problem has a mass of m=1.0 kg and a momentum of

, therefore we can use the previous formula to find its velocity: