a box has a momentum of 1.30 kg*m/s to the right. a 12.8 N force pushes it to the right for 0.218 s. what is the final momentum
1 answer:
Answer:
4.09 kgm/s
Explanation:
Concept tested: Second Newton's law of motion
So what does the second Newton's law of motion state?
- According to the second Newton's law of motion, the resultant force and the rate of change of momentum are directly proportional.
- That is;
, where, mVf is the final momentum and mVo is the initial momentum.
In this case;
- Force = 12.8 N
- Initial momentum, mVo = 1.3 kgm/s
- Time, t = 0.218 seconds
Therefore; replacing the values of the variables in the formula;
we get;
Solving for final momentum;
= 4.09 kgm/s
Therefore, the final momentum of the box is 4.09 kgm/s
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<h2>Resultant is 235.54 pounds at an angle 44.16° to X axis.</h2>
Explanation:
Forces are 100 pound and 150 pound and angles with x axis are 20°and 60°.
That is force 1 is 100 pound with x axis at 20°
F₁ = 100 cos 20 i + 100 sin 20 j
F₁ = 93.97 i + 34.20 j
That is force 2 is 150 pound with x axis at 60°
F₂ = 150 cos 60 i + 150 sin 60 j
F₂ = 75 i + 129.90 j
F₁ + F₂ = 93.97 i + 34.20 j + 75 i + 129.90 j
F₁ + F₂ = 168.97 i + 164.10 j
Resultant is 235.54 pounds at an angle 44.16° to X axis.
1) First of all, we need to find the distance between the two charges. Their distance on the xy plane is
substituting the coordinates of the two charges, we get
2) Then, we can calculate the electrostatic force between the two charges
and 
, which is given by
where
is the Coulomb's constant.
Substituting numbers, we get
and the negative sign means the force between the two charges is attractive, because the two charges have opposite sign.
substituting the coordinates of the two charges, we get
2) Then, we can calculate the electrostatic force between the two charges
where
Substituting numbers, we get
and the negative sign means the force between the two charges is attractive, because the two charges have opposite sign.