The final velocity of the 14 kg object is 1.6 m/s in the same direction
Explanation:
We can solve this problem by using the law of conservation of momentum: the total momentum of the system must be conserved before and after the collision. Therefore, we can write

where:
is the mass of the first object
is the initial velocity of the first object
is the final velocity of the first object
is the mass of the second object
is the initial velocity of the second object
is the final velocity of the second object
Re-arranging the equation and substituting the values, we find:

And the direction is the same as the initial direction, since it has the same sign.
Learn more about conservation of momentum:
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That would be gravitational force. Check out creation.com. Search up "star-formation" in their search bar. Hope this helped.
The definition of P.E which stands for physical education is instruction that ranges in many areas to improve performance and management in athletic games. The definition of sports is an activity that requires skill and physical exertion of a team or an individual competing against others for fun or entertainment. I believe these are similar because without physical education kids cannot excel in their sports. P.E will help prepare them for this.However they are different because sports are solely focused on one topic and try to perfect that, physical education gives you many different things to work on.
Answer:
1.4 s
Explanation:
Given the following data;
Quantity of charge, Q = 2.5 C
Current = 1.8 A
To find the time required;
Mathematically, the quantity of charge passing through a conductor is given by the formula;
Quantity of charge, Q = current * time
Substituting into the formula, we have;
2.5 = 1.8 * time
Time = 2.5/1.8
Time = 1.4 s
Answer:
x = 7.62 m
Explanation:
First we need to calculate the weight of the rocket:
W = mg
we will use the gravity as 9.8 m/s². We have the mass (500 g or 0.5 kg) so the weight is:
W = 0.5 * 9.8 = 4.9 N
We know that the rocket exerts a force of 8 N. And from that force, we also know that the Weight is exerting a force of 4.9. From here, we can calculate the acceleration of the rocket:
F - W = m*a
a = F - W/m
Solving for a:
a = (8 - 4.9) / 0.5
a = 6.2 m/s²
As the rocket is accelerating in an upward direction, we can calculate the distance it reached, assuming that the innitial speed of the rocket is 0. so, using the following expression we will calculate the time which the rocket took to blast off:
y = vo*t + 1/2 at²
y = 1/2at²
Solving for t:
t = √2y/a
t = √2 * 20 / 6.2
t = √6.45 = 2.54 s
Now that we have the time, we can calculate the horizontal distance:
x = V*t
Solving for x:
x = 3 * 2.54 = 7.62 m