The momentum of an object depends on velocity and mass
M = 150 kg.
Final velocity, v = 14 m/s
Initial Velocity, u = 6 m/s
Impulse = m(v - u)
= 150*(14 - 6)
= 150*8 = 1200 kgm/s or 1200 Ns
Answer:
The equation of motion is 

Explanation:
Lets calculate
The weight attached to the spring is 24 pounds
Acceleration due to gravity is 
Assume x , is spring stretched length is ,4 inches
Converting the length inches into feet 
The weight (W=mg) is balanced by restoring force ks at equilibrium position
mg=kx
⇒ 
The spring constant , 
= 72
If the mass is displaced from its equilibrium position by an amount x, then the differential equation is



Auxiliary equation is, 

=
Thus , the solution is 

The mass is released from the rest x'(0) = 0
=0


Therefore ,

Since , the mass is released from the rest from 4 inches
inches
feet
feet
Therefore , the equation of motion is 
Answer:
0.196
Explanation:
According to Newton's second law
\sumFx = ma
Fm-Ff = ma
Fm is the moving force
Ff is the frictional force
m is the mass = 9kg
a is the acceleration = 2.4m/s²
Fm = Wsin theta
Fm = 9(9.8)sin25°
Fm = 37.28N
Ff is the frictional force = nmgcos theta
Ff = n(9)(9.8)cos25°
Ff = 79.94n
Substitute the given values into the formula
37.28-79.94n = 9(2.4)
-79.94n = 21.6-37.28
-79.94n = -15.68
n = 15.68/79.94
n = 0.196
Hence the coefficient of kinetic friction between the potted plant and the incline is 0.196