Answer:
to the right.
to in the upwards direction.
Explanation:
In order to solve this problem, we must first start by drawing a diagram of the situation. (See attached diagram).
So, remember that a force is determined by multiplying the mass of the parcticle by its acceleration:
F=ma
so in order to find the components of the force, we need to start by finding its acceleration.
Acceleration is found by using the following formula:

so we can subtract the two vectors, like this:

which yields:

or:

so now I can find the components of the force:

which yields:
F=(2.31i+2.1j)N
so the components of the force are:
to the right.
to in the upwards direction.
Answer:
P = ρRT/M
Explanation:
Ideal gas equation is given as follows generally:
PV = nRT (1)
P = pressure in the containing vessel
V = volume of the containing vessel
n = number of moles
R = gas constant
T = temperature in K
n = m/M
m = mass of the gas contained in the vessel in g
M = molar mass in g/mol
ρ = m/V
Density of the gas = ρ
Substituting for n in (1)
PV = mRT/M. (2)
Dividing equation (2) through by V
P = m/V ×RT/M
P = ρRT/M
Correct option: A
An object remains at rest until a force acts on it.
As the water moves faster, it applies greater force on the sediment, which over comes the frictional forces between the bed and the sediment. So, when the river flows faster, more and larger sediment particles are carried away. When the flow slows down, the river couldn't apply enough force on the larger sediments which can overcome the frictional force between the sediment and the river bed. So, the net force on the heavier particles become zero. Hence, the heavier particles of the load will settle out.
Answer:
Frictional force, F = 45.9 N
Explanation:
It is given that,
Weight of the box, W = 150 N
Acceleration, 
The coefficient of static friction between the box and the wagon's surface is 0.6 and the coefficient of kinetic friction is 0.4.
It is mentioned that the box does not move relative to the wagon. The force of friction is equal to the applied force. Let a is the acceleration. So,



Frictional force is given by :


F = 45.9 N
So, the friction force on this box is closest to 45.9 N. Hence, this is the required solution.
Answer:
Explanation:
Wheel completes four revolution.
The linear displacement is zero.
The angular displacement is 4 x 2π = 8π radian.
So, option (c) is correct.