Answer:
The ratio of the momentum imparted to gun #1 to that imparted to gun #2 is equal to 2 : 1
Explanation:
Detailed explanation and calculation is shown in the image below
Answer:
Chemical formulas tell you how many atoms of each element are in a compound, and empirical formulas tell you the simplest or most reduced ratio of elements in a compound. If a compound's chemical formula cannot be reduced any more, then the empirical formula is the same as the chemical formula. Combustion analysis can determine the empirical formula of a compound, but cannot determine the chemical formula (other techniques can though). Once known, the chemical formula can be calculated from the empirical formula.
Explanation:
The center of mass is given by:
∑mx/∑m
m is the mass of each object
x is the position of each object
We will assign x = 0m to the 18kg mass, therefore x = 6m for the 6kg mass.
∑mx/∑m = (18×0+6×6)/(18+6) = 1.5m
The center of mass is located 1.5m away from the 18kg mass.
The total moment of inertia of the system about the center of mass is given by:
I = ∑mr²
I is the moment of inertia
m is the mass of each object
r is the distance of each object from the center of mass
We know r = 1.5m for the 18kg mass and the rod is 6m long, therefore the 6kg mass must be r = 4.5m from the center of mass.
I = 18(1.5)² + 6(4.5)²
I = 162kg×m²
Answer:
The magnitude of the given vector is
Explanation:
For any given vector
The magnitude is given by
comparing with the given vector
we get
x = 1, y = -2, z = 3
Thus the magnitude of vector A is
Answer:
The particle will continue moving at constant velocity
Explanation:
When the particle encounters the second force of 10 N, the net force acting on the particle becomes zero, because the two forces are equal in magnitude but opposite in direction:
For Newton's second Law, the acceleration of the particle is proportional to the net force acting on it:
Therefore, since , the acceleration is zero (a=0) and so the particle will keep a constant velocity.