Explanation:
It is given that net gravitational force on M is exactly equal to zero. Hence, distance to M from the bigger mass is 3m. Therefore, expression for net force will be as follows.
So,
The first term is negative as the third mass is located between the other two masses. This means that 3 m will be pulling it leftwards (negative x direction) and m will be pulling it rightwards (positive x direction).
On dividing both sides of the equation by G.m.M, we get the following.
0 = 
Using the formula, 
the value of x comes out to be equal to +2.37 (not usabale) and -0.634 (usable).
Hence, we can conclude that the third mass will be located 0.634 meters away from the 3 m mass.
Answer:
P =18760.5 Pa
Explanation:
Given that
Volume ,V= 0.0434 m³
Mass ,m= 4.19 g = 0.00419 kg
T= 417 K
If we assume that water vapor is behaving like a ideal gas ,then we can use ideal gas equation
Ideal gas equation P V = m R T
p=Pressure ,V = Volume ,m =mass
T=Temperature ,R=Universal gas constant
Now by putting the values
P V = m R T
For water R= 0.466 KJ/kgK
P x 0.0434 = 0.00419 x 0.466 x 417
P =18.7605 KPa
P =18760.5 Pa
Therefore the answer is 18760.5 Pa
I think this type of equation could be conducted in simple division equation since it does not involve drop rate.
we know that there is 500 ml of substance and should be infused within 8 hours period.
So the flow rate in ml/hr would be:
500/8 = 62.5 ml/hr
Answer:
0.75
Explanation:
Since the static frictional force is the maximum force applied just before sliding, our frictional force, F is 300 N.
Since F = μN where μ = coefficient of static friction and N = normal force = 400 N (which is the downward force applied against the surface).
So, μ = F/N
= 300 N/400 N
= 3/4
= 0.75
So, the coefficient of static friction μ = 0.75
As the plastic sphere is charged, therefore it experience an electric force when placed in an electric fields and also experiences gravitational force acts downward so the electric force must act upward.
Let 
is electric force and 
is gravitational force.
If these forces are balanced, therefore
or 
Given, 
and 
.
Substituting these values in above equation we get,
Thus, the magnitude of electric field is 
.
As the charge is negative, the electric field at the location of the plastic sphere must be pointing downward.
