Answer:
It will increase in speed
Explanation:
Answer:
x(t) = 0.077cos(6.455t)
Explanation:
If the spring can be stretched 0.2 m by a force of 50 N, then the spring constant is:
k = 50 / 0.2 = 250 N/m
The equation of simple harmonic motion is as the following:

where 
We also know that the initial velocity is 0.5 m/s, which is also the maximum speed at the equilibrium:


is the initial phase
Therefore, the position of the mass after t seconds is
x(t) = 0.077cos(6.455t)
Converting 209 km/hr to m/s:
209 km/hr = 58.0 m/s
Contact distance = 0.1 m
Using the equation of motion:
2as = v² - u², where initial velocity is 0
a = (58)² / (2 x 0.1)
a = 1.68 x 10⁴ m/s²
By definition, we have that the gravitational force is given by:

Where,
G: gravitational constant
m1: mass of object number 1
m2: mass of object number 2
r: distance between both objects.
Therefore, for the gravitational force to increase, the following conditions must be met:
1) Increase the mass of the objects so that the numerator of the equation is greater.
2) Decrease the distance between the objects so that the denominator of the equation is smaller.
Answer:
A change that will always result in an increase in the gravitational force between two objects is:
increasing the masses of the objects and decreasing the distance between the objects
Option d
. as they produce some hydrocarbon and methane etc