Answer:

Explanation:
The change in kinetic energy will be simply the difference between the final and initial kinetic energies: 
We know that the formula for the kinetic energy for an object is:

where <em>m </em>is the mass of the object and <em>v</em> its velocity.
For our case then we have:

Which for our values is:

Answer:
b 1.39 m/s²
Explanation:
Given the following data;
Time = 12 seconds
Distance, S = 100 m
Since it's starting from rest, the initial velocity is equal to 0m/s.
To find the acceleration, we would use the second equation of motion;

Where;
S represents the displacement or height measured in meters.
u represents the initial velocity measured in meters per seconds.
t represents the time measured in seconds.
a represents acceleration measured in meters per seconds square.
Substituting into the equation, we have;
100 = 0(12) + ½*a*12²
100 = 0 + 72
100 = 72a
Acceleration, a = 100/72
Acceleration, a = 1.389 ≈ 1.39 m/s²
Answer:
a) 0.804second
b) 0.162m
Explanation:
In simple harmonic motion;
Period T = 2π√m/k
Where m is the mass of the object
K is the force constant
Given:
M = 13.0kg
K = 788N/m
T = 2π√13/788
T = 2π√0.0165
T = 2π×0.128
T = 0.804second
Frequency is the reciprocal of the period. F = 1/T
F = 1/0.804
F = 1.244Hertz
b) To get the amplitude x, we will use the relationship F = kx where F is the force exerted by the baby of mass 13kg
x = F/k
Since F = mg
x = mg/k
Assume g = 9.81m/s²
x = (13×9.81)/788
x = 127.53/788
x = 0.162m
The minimum amplitude that she requires is 0.162m
You just multiply these two numbers, it's 100J