Answer:
Explanation:
a ) V = 3 cos(0.5t)
differentiating with respect to t
dv /dt = -3 x .5 sin0.5t
= -1.5 sin0.5t.
acceleration = - 1.5 sin 0.5t
when t = 3 s
acceleration = - 1.5 sin 1.5
= - 1.496 ms⁻²
v = 3 cos.5t
b ) dx/dt = 3 cos 0.5 t
dx = 3 cos 0.5 t dt
integrating on both sides
x = 3 sin .5t / .5
x = 6 sin0.5t
At t = 2 s
x = 6 sin 1
x = 5.05 m
Answer:
true
Explanation:
ionic compounds do not form molecules
<span>Before answering the questions I will list the three main laws of motion. The first law of motion states that an object at rest tends to stay at rest, and an object in motion tends to stay in motion in a straight line at a constant speed unless another force acts upon it. The second law of motion states that how fast an object picks up speed or slows down depends on the amount of force used and on its mass. The third law of motion states that for every action there is an equal and opposite reaction.
#1) When a propagule falls into the water, it displaces some water, which causes a small splash.
Answer: For this case it would be C) The Third Law of Motion.
#2) A heavier propagule will fall faster and hit the water with more force, causing a bigger splash.
Answer: For this case it would be B) The Second Law of Motion.
#3) The drifting propagule tends to stay in motion. It will only get stuck in the mud and start to take root when it is really time to germinate.
Answer: For this case it would be C) The Third Law of Motion.
#4) When a propagule is ready to fall off of the parent tree, it must overcome the inertia that keeps it in place.
Answer: For this case it would be A) The First Law of Motion.
#5) Occasionally, another branch or leaf will rub against a seedling due to wind or water action, and cause it to fall prematurely.
Answer: For this case it would be C) The Third Law of Motion.
#6) A seedling falling into the water does so with more force than a leaf, since it has more mass.
Answer: For this case it would be B) The Second Law of Motion.
#7) As a seedling's roots begin to grow into the mud, they displace the soil particles, which are moved aside to make room for the new tree.
Answer: For this case it would be D) Friction.
#8) Manatees are large marine mammals that live in the mangroves. To scratch their itchy backs, they like to rub against the roots of the mangroves.
Answer: For this case it would be D) Friction.
I hope it helps, Regards. <span>
</span></span>
Newton's law of universal gravitation states that every particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
This is mathematically represented as
<u>F= (G X m1 x m2) /r∧2</u>
where F is the force acting between the charged particles
r is the distance between the two charges measured in m
G is the gravitational constant which has a value of <em>6.674×10^-11 Nm^2 kg^-2</em>
m1 and m2 are the masses of the objects measured in Kg
Now if the distance between the is doubled then r becomes 2r. Substituting this in the above formula we get the new Force as
Force (new) = (G X m1 x m2) /(2r)∧2
Thus dividing Force(new)/Force we get
Force(new)/Force = 1/4.
Thus the gravitational force becomes 1/4th of the original value if the distance between the two masses are doubled.