The distance between two protons to generate 950N of force is 0.49 X 10⁻¹⁵ m
<u>Explanation:</u>
Given:
Mass of man, m = 100 kg
Force between man and earth = 980 N
Charge of proton, q = 1.6 X 10⁻¹⁹C
Same force is generated between them
Distance between two protons, r = ?
According to Coulomb's law:
where,
k is Coulomb's constant
k = 9 X 10⁹ Nm²/C²
According to the question:
Solving the equation:
Therefore, the distance between two protons to generate 950N of force is 0.49 X 10⁻¹⁵ m
Answer: D
8.403 m/s
Explanation:
Given that the women's world record for the 400-meter run around an oval track is held by Marita Koch, with a time of 47.60
seconds.
Her average velocity during this race will be
Velocity = distance/ time
Velocity = 400 / 47.6
Velocity = 8.403 m/s
Therefore, her average velocity during this race will be 8.403 m/s
D is therefore the correct answer.
Answer:
Option D. is the correct choice.
Explanation:
Resistances connected in series add up to give equivalent resistance.
R_eq = 10+20+30 = 60 ohm
Best Regards!
Answer:
A) T = 95.12 N, B) L_man - 0.59 L
Explanation:
A) For this problem we must use the equilibrium, translational and rotational equations
∑τ = 0
Let's fix our reference system at the top of the stairs, the anti-clockwise rotation is positive
W x/2 + W_man x_man - T y = 0 (1)
Let's look with trigonometry for distances
cos 52 = x / L
x = L cos 52
sin 52 = y / L
y = L sin52
The man indicates it is at L / 3, so its distance is
x_man = L/3 cos 52
We replace
W L/2 cos 52 + W_man L/3 cos 52 - T L sin 52 = 0
T = cos 52 (W / 2 + W_man / 3) / sin 52
T = cos 52 (137/2 + 16.3 9.8 / 3) / sin 52
T = 121.75 ctan 52
T = 95.12 N
B) let's look for the maximum distance (x) that can be before breaking the rope
L_man = (-W L / 2 cos 52 + T L sin 52) / W_man cos 52
L_man / L = (-W / 2 ctan 52 + T tan 52) / W_man
L_man / L = ( -137/2 ctan 52 + 116 tan 52) / (16.3 9.8)
L_man / L = (-53.518 +148.47) /159.74
L_ma / L = 0.594
The man then climb a length of 0,59 (59%) along the length of the stairs
This is called the nucleus