Could you help me with the question in the photo attached please.

a)

b) Yes

c)

Explanation:

a)

To find the expression for the acceleration of the blocks, we have to write the equations of the forces acting on the two blocks.

In the following, we assume that the system accelerates downward (block 2) and up along the ramp (block 1).

For block 1, the equation of motion is:

where:

T is the tension in the string (up along the ramp)

is the component of the weight parallel to the ramp (down along the ramp), with

=mass of the block

= acceleration due to gravity

= angle of the ramp

is the acceleration of the system

For block 2, we have:

where

is the weight of block 2, where

is the mass of block 2

From eq. (2) we get

And substituting into eq.(1), we find an expression for the acceleration of the system:

b)

We could have guessed the expression for the acceleration using Newton's second law:

where, in this case:

F is the net force on the system, which is the difference between the weight of the block 2 and the component of the weight of block 1 acting along the ramp, so

m is the total mass of the system, which is the sum of the masses of the two blocks:

a is the acceleration

And solving for a:

c)

In this case, there is also kinetic friction acting along the ramp, on block 1.

The magnitude of the kinetic friction is:

where

is the coefficient of kinetic friction

N is the normal force acting on block 1

The normal force on block 1 can be found by writing the equation of the forces on the direction perpendicular to the ramp, we have:

where is the component of the weight of the block perpendicular to the ramp. Therefore,

So the force of friction is

The direction of this force is in the direction opposite to the motion (up along the ramp), so the equation of motion for block 1 becomes

Substituting again the expression for  the tension obtained in part a), we get:

think its the third option

compass can be used day and night, cloudy or sunny