Given :
One particle, of mass m , moves with a speed v in the x-direction, and another particle, of mass 2 m , moves with a speed v/2 in the y-direction.
To Find :
The velocity of the center of mass of these two particles.
Solution :
Speed of mass m, .
Speed of mass 2m , .
Speed of center of mass is given by :
Hence, this is the required solution.
Answer:
61 degrees, I just did the test.
Explanation:
Answer:
M = 1.994 × 10^(30) kg
Explanation:
We are given;
Orbital radius; r = 1.5 × 10^(8) km = 1.5 × 10^(11) m
Gravitational constant; G = 6.67 × 10^(-11) N.m²/kg²
If the orbit is circular, the it means the gravitational force is equal to the centripetal force.
Thus; F_g = F_c
GMm/r² = mv²/r
Simplifying gives;
GM/r = v²
M = v²r/G
Now, v is the speed of the earth around the sun and from online sources it has a value of around 29.78 km/s = 29780 m/s
Thus;
M = (29780^(2) × 1.5 × 10^(11))/6.67 × 10^(-11)
M = 1.994 × 10^(30) kg
I believe the correct answer from the choices listed above is option C. She placed them on a window sill in the sun for an hour and then measured the warmth of the air in the box. in this experiment, the time of the hour is an independent variable. It is independent since the value of time cannot be controlled by any means.