we have to use newtons law of gravitation which is
F=GMm/r^2
G=6.67 x 10^<span>-11N kg^2/m^2
</span>M=<span>(15kg)
</span>m=15 kg
r=(3.0m)^2<span>
</span>putting values we have
<span>=(6.67 x 10^-11N kg^2/m^2)(15kg)(15kg)/(3.0m)^2 </span>
=1.67 x 10^-9N
Answer:
<h3> 3.057m</h3>
Explanation:
According to law of gravitation;
F = GMm/d²
G is the universal gravitation
M and m are the masses
d is the distance between the masses
d² = GMm/F
d² = 6.67408 × 10-11 *3000*7000/0.0015
d² = 140.15568*10^-5/0.0015
d² = 1.4016*10^-3/0.0015
d² = 1.4016*10^-3/1.5*10^-3
d² = 0.9344*10
d² = 9.344
d = √9.344
d = 3.057m
Hence the distance between the two objects is 3.057m
Answer:
8.97 Watt
Explanation:
Resistance, R = 20 ohm
Inductance, L = 10 mH
V(t) = 20 Cos (1000 t + 45°)
Compare with the standard equation
V(t) = Vo Cos(ωt + Ф)
Ф = 45°
ω = 1000 rad/s
Vo = 20 V
Inductive reactance, XL = ωL = 1000 x 0.01 = 10 ohm
impedance is Z.
![Z = \sqrt{R^{2}+X_{L}^{2}}](https://tex.z-dn.net/?f=Z%20%3D%20%5Csqrt%7BR%5E%7B2%7D%2BX_%7BL%7D%5E%7B2%7D%7D)
![Z = \sqrt{20^{2}+10^{2}}](https://tex.z-dn.net/?f=Z%20%3D%20%5Csqrt%7B20%5E%7B2%7D%2B10%5E%7B2%7D%7D)
Z = 22.36 ohm
![V_{rms}=\frac{V_{0}}{\sqrt{2}}](https://tex.z-dn.net/?f=V_%7Brms%7D%3D%5Cfrac%7BV_%7B0%7D%7D%7B%5Csqrt%7B2%7D%7D)
![V_{rms}=\frac{20}{\sqrt{2}} = 14.144 V](https://tex.z-dn.net/?f=V_%7Brms%7D%3D%5Cfrac%7B20%7D%7B%5Csqrt%7B2%7D%7D%20%3D%2014.144%20V)
![I_{rms}=\frac{V_{rms}}{Z}=\frac{14.144}{\sqrt{22.36}}=0.634 A](https://tex.z-dn.net/?f=I_%7Brms%7D%3D%5Cfrac%7BV_%7Brms%7D%7D%7BZ%7D%3D%5Cfrac%7B14.144%7D%7B%5Csqrt%7B22.36%7D%7D%3D0.634%20A)
Apparent power is given by
P = Vrms x Irms
P = 14.144 x 0.634
P = 8.97 Watt
<h3><u>Answer</u> :</h3>
◈ As per newton's second law of motion, Force is defined as the product of mass and acceleration![.](https://tex.z-dn.net/?f=.)
Mathematically,
![\dag\:\boxed{\bf{\purple{F=ma}}}](https://tex.z-dn.net/?f=%5Cdag%5C%3A%5Cboxed%7B%5Cbf%7B%5Cpurple%7BF%3Dma%7D%7D%7D)
Unit of mass : kg
Unit of acceleration : m/s²
Therefore,
Unit of force ➠ <u>kg m/s²</u>
SI unit : <u>N (newton)</u> or <u>kg m/s²</u>
Answer: 459.14 N
Explanation:
from the question, we have
diameter = 10 m
radius (r) = 5 m
weight (Fw) = 670 N
time (t) = 8 seconds
Circular motion has centripetal force and acceleration pointing perpendicular and inwards of the path, therefore we apply the equation below
∑ F = F c = F w − Fn ..............equation 1
Fn = Fw − Fc = mg − (mv^2 / r) ...................equation 2
substituting the value of v as (2πr / T) we now have
Fn = mg − (m(2πr / T )^2) / r
Fn= mg − (4(π^2)mr / T^2) ..........equation 3
Fw (mass of the person) = mg
therefore m = Fw / g
m = 670 / 9.8 = 68.367 kg
now substituting our values into equation 3
Fn = 670 - ( (4 x (π^2) x 68.367 x 5 ) / 8^2)
Fn = 670 - 210.86
Fn = 459.14 N