The type of collision in this system is called inelastic collision where after collision the two objects stick together. We can solve for the final velocity after collision by the expression:
v = m1v1 + m2V2 / (m1+m2)
v = 1(0.50) + (1)(0) / (1+1) = 0.25 m/s
Therefore, option 3 is the correct answer.
Answer:

Explanation:
The total momentum of the system must conserve by the law of momentum conservation.
( 1 )
If you consider the shock between the ball and the truck as totally elastic, and also if the truck is much more massive than the ball, you can assume that the truck does not move when the ball hits it.
Then the truck is always at rest
Hence, you have in the expression ( 1 ):

Answer:
A) 200 j
B) 0 J
C) -100 J
D) -300 J
Explanation:
We know that change in potential energy is given as

where, mg is weight
yf and yi final and initial position
mg = 10 N
yf = 0 m
yi = 20 m

B) mg = 10 N
yf = 20 m
yi = 20 m

c) before fall from the drone
U = mgh
h = yf - yi = 20 - 30 = -10 m

D) point has 0 potential energy
mg = 10 N
h = yf -yi = 0 -30 = - 30 m

(a) 44.7 m/s
We can find the final velocity of the car by using the SUVAT equation:

where
v is the final velocity
u = 0 is the initial velocity (the car starts from rest)
is the acceleration
is the displacement
Solving for v,

(b) 80 s
We can find the time it takes for the car to cover 1.6 km by using the following SUVAT equation:

where in this case we have
d = 1.6 km = 1600 m is the displacement
is the acceleration
u = 0
t is the time
Solving for t, we find:

A. Scientific Law. The mathematics surrounding the acceleration due to gravity is a law. It is calculated from the universal law of gravity. However, the explanation of the idea of gravity is a theory. This falls back to the idea that science is about disproving ideas that we currently believe, rather than proving ideas are correct. Unless we can disprove an idea, we have to accept the possibility that it is true; the more trials we have of being unable to disprove something, the more accepted it will be. Yet, no idea can be without doubt and certainty be accepted for what it is. So, to sum it up, scientific laws are factual descriptions (by formula or word) of phenomenon which always occur given specific conditions. On the other hand, scientific theories are explanations of the causes underlying these phenomena, the explanation formulated in such a way that they can be disproven.