C. Eastward. Acceleration is the change in speed so it can be a positive (speeding up) or negative (slowing down) acceleration
Answer:
a) Ws = 2.548 J
b) Wf = 1.153 J
c) v = 1.923 m / s
Explanation:
a) The work done by the spring force
Ws = ½ * k * x²
Ws = ½ * 260 N/m *0.14² m
Ws = 2.548J
b) The increase in thermal energy can by find using
Et = Wf
Wf = µ * m *g * x
Wf = 0.42 * 2.0 kg *9.8 m/s² * 0.14m
Wf = 1.153 J
c) The speed just as the block reaches can by fin using
EK = Ws + Et
Ek = ( 2.548 + 1.153 ) J = 3.7 J
Ek = ½ * m * v²
v² = 2* Ek / m
v = √[2 * 3.7 J / 2.0 kg]
v = 1.923 m / s
Explanation:
We need to apply the conservation law of linear momentum to two dimensions:
Let
= momentum of the 1st ball
= momentum of the 2nd ball
In the x-axis, the conservation law can be written as

or

Since we are dealing with identical balls, all the m terms cancel out so we are left with

Putting in the numbers, we get


In the y-axis, there is no initial y-component of the momentum before the collision so we can write

or

Taking the ratio of the sine equation to the cosine equation, we get

or

Solving now for
,

Answer:
Follows are the solution to this question:
Explanation:
In point a:
Place of particles






In point b:
when 
the Particle velocity
In point c:
Calculating the Particle acceleration:
