The combined momentum is 4000 kg m/s south
Explanation:
The total combined momentum of the two cars is given by the vector addition of the momenta of the two cars.
For this problem, we choose north as positive direction and south as negative direction.
The momentum of the first car travelling north is given by:
where
is the mass of the car
is its velocity
Substituting,
The momentum of the second car travelling south is given by:
where
is the mass of the car
is its velocity (negative because the car travels south)
Substituting,
And therefore, the combined momentum is
where the negative sign means the direction of the total momentum is south.
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Answer:
The answer should be C. slanted upward to the right.
Hope this helps. :-)
The kinetic energy of the mass at the instant it passes back through its equilibrium position is about 1.20 J
<h3>Further explanation</h3>
Let's recall Elastic Potential Energy formula as follows:
where:
<em>Ep = elastic potential energy ( J )</em>
<em>k = spring constant ( N/m )</em>
<em>x = spring extension ( compression ) ( m )</em>
Let us now tackle the problem!
<u>Given:</u>
mass of object = m = 1.25 kg
initial extension = x = 0.0275 m
final extension = x' = 0.0735 - 0.0275 = 0.0460 m
<u>Asked:</u>
kinetic energy = Ek = ?
<u>Solution:</u>
<em>Firstly , we will calculate the spring constant by using </em><em>Hooke's Law</em><em> as follows:</em>
<em>Next , we will use </em><em>Conservation of Energy</em><em> formula to solve this problem:</em>
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Physics
Chapter: Elasticity
Answer:
A. 40N
B. 5m/s
Explanation:
A.
Impulse is equal to the area under the curve of a force vs. time graph. In this case, the area is in the shape of a triangle with base 8 (12-4=8) and perpendicular height 10:
<em>Area of a triangle = (1/2)bh</em>
A=(1/2)*8*10
=40
ANSWER: 40N
B.
<em>Impulse = mass * velocity</em>
40 = 8v
v = 5
ANSWER: 5m/s