Sorry I am completly lost on this one and it is my last homework problem. Due in a couple of hours if someone could help. I would greatly appreciate it.


A block is placed on an inclined plane. The acceleration of gravity is 9.8 m/s^2. What force is required to push the block up the incline with constant velocity? angle of incline = 23deg, friction = 0.16, mass = 2kg, block is being pushed at an angle of 12 deg above the horizontal

To determine the force required to push the block up the incline with constant velocity, we need to break down the forces acting on the block.

First, we need to consider the gravitational force acting on the block. The gravitational force is given by the formula:

F_gravity = mass * acceleration due to gravity

Given that the mass of the block is 2 kg and the acceleration due to gravity is 9.8 m/s^2, we can calculate the gravitational force:

F_gravity = 2 kg * 9.8 m/s^2 = 19.6 N

Next, we need to consider the force due to the incline. The force acting down the incline is given by the formula:

F_incline = F_gravity * sin(angle of incline)

The angle of incline is given as 23 degrees, so we can calculate the force due to the incline:

F_incline = 19.6 N * sin(23 degrees) = 8.11 N

Now, we need to consider the force of friction. The force of friction is given by the formula:

F_friction = coefficient of friction * normal force

The normal force is equal to the force perpendicular to the incline, which can be calculated using the equation:

Normal force = F_gravity * cos(angle of incline)

With the given angle of incline, we can calculate the normal force:

Normal force = 19.6 N * cos(23 degrees) = 17.47 N

The coefficient of friction is given as 0.16, so we can calculate the force of friction:

F_friction = 0.16 * 17.47 N = 2.80 N

Finally, to push the block up the incline with constant velocity, the force needed would be equal to the force due to the incline plus the force of friction:

Force required = F_incline + F_friction = 8.11 N + 2.80 N = 10.91 N

Therefore, the force required to push the block up the incline with constant velocity is approximately 10.91 Newtons.

Note: In this calculation, we assumed that there are no other external forces acting on the block.