Answer:
[tex]8.4168\times 10^{-21}\ kgm/s[/tex] upward
4.725 kgm/s to the right
468.6 kgm/s southwest
[tex]1.782\times 10^{49}\ kgm/s[/tex] forward
Explanation:
When the mass of an object is multiplied by its velocity we get momentum
m = Mass
v = Velocity
Proton
[tex]p=mv\\\Rightarrow p=1.67\times 10^{-27}\times 5.04\times 10^6\\\Rightarrow p=8.4168\times 10^{-21}\ kgm/s[/tex]
The momentum of the proton is [tex]8.4168\times 10^{-21}\ kgm/s[/tex] upward
Bullet
[tex]p=mv\\\Rightarrow p=0.015\times 315\\\Rightarrow p=4.725\ kgm/s[/tex]
The momentum of the bullet is 4.725 kgm/s to the right
Sprinter
[tex]p=mv\\\Rightarrow p=71\times 6.6\\\Rightarrow p=468.6\ kgm/s[/tex]
The momentum of the sprinter is 468.6 kgm/s southwest
Earth
[tex]p=mv\\\Rightarrow p=5.98\times 10^{24}\times 2.98\times 10^4\\\Rightarrow p=1.782\times 10^{29}\ kgm/s[/tex]
The momentum of the sprinter is [tex]1.782\times 10^{29}\ kgm/s[/tex] forward
The linear momentum is the product of mass and velocity of the object.
The linear momentum is the product of mass and velocity in each case, we will calculate the linear momentum of the body;
a) For the proton;
p = 1.67 ✕ 10-27 kg ✕ 5.04 ✕ 106 m/s = 8.4 ✕ 10-21 Kgm/s
b) For the bullet;
p = 0.015 Kg ✕ 315 m/s = 4.725 Kgm/s
c) For the sprinter:
p = 71 kg ✕ 6.6 m/s = 468.6 Kgm/s
d) For the earth;
p = 5.98 ✕ 10^24 kg ✕ 2.98 ✕ 10^4 m/s = 1.78 ✕ 10^29 Kgm/s
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