Answer:
The center of mass of three mass in the x-y plane is located at (1,0.5).
Explanation:
It is given that, a mass of 6 kg is at (0,0), a mass of 4 kg is at (3,0), and a mass of 2 kg is at (0,3). We need to find the center of mass of the system. Center of mass in x direction is :
The center of mass in y direction is :
So, the center of mass of three mass in the x-y plane is located at (1,0.5).
Answer:
t = 2.5 hours
Explanation:
given,
speed of the bike for t time= 18 mi/h
final speed of the bike after t time = 12 mi/h
total distance, D = 69 miles
total time, T= 4.5 hour
time for which speed of the bike is 18 mi/h = ?
we know distance = speed x time
now,
18 x t + 12 (4.5 - t) = 69
6 t + 54 = 69
6 t = 15
t = 2.5 hours
The bike was at the speed of 18 mi/h for 2.5 hours.
Wave speed = (wavelength) x (frequency)
= (4 m) x (2 /sec)
= 8 m/sec
The answer is to remove 4 electrons.
The Young modulus E is given by:
where
F is the force applied
A is the cross-sectional area perpendicular to the force applied
is the initial length of the object
is the increase (or decrease) in length of the object.
In our problem,
is the initial length of the column,
is the Young modulus. We can find the cross-sectional area by using the diameter of the column. In fact, its radius is:
and the cross-sectional area is
The force applied to the column is the weight of the load:
Now we have everything to calculate the compression of the column:
So, the column compresses by 1.83 millimeters.