The drawing shows a 25.1-kg crate that is initially at rest. Note that the view is one looking down on the top of the crate. Two forces, 1 and 2, are applied to the crate, and it begins to move. The coefficient of kinetic friction between the crate and the floor is μk = 0.384. Determine the magnitude and direction (relative to the x axis) of the acceleration of the crate.

The drawing shows a 25.0kg crate that is initially at rest. Note that the view is one looking down on the top of thecrate. Two forces, F1 and F2 are applied to the crate, and itbegins to move. The coefficient of kinetic friction betweenthe crate and the floor is uk= .350. Determine the magnitudeand direction (relative to the x axis) of the acceleration of thecrate.

F1 is 88.0 N
F2 is 54.0 N
Degree is 55

To determine the magnitude and direction of the acceleration of the crate, we first need to find the net force acting on it.

1. Calculate the force of friction:
Since the crate is moving, we need to consider the kinetic friction. The formula for the frictional force is given by:
Ffriction = μk * Fn

where
Ffriction is the frictional force,
μk is the coefficient of kinetic friction, and
Fn is the normal force.

2. Calculate the normal force:
The normal force is the force exerted by a surface to support the weight of an object resting on it. In this case, the normal force equals the weight of the crate. The formula for weight is given by:
W = m * g

where
W is the weight,
m is the mass of the crate, and
g is the acceleration due to gravity (approximately 9.8 m/s^2).

3. Calculate the net force:
The net force is the vector sum of the applied forces and the frictional force. In this case, since the crate is initially at rest, the net force is equal to the applied force.

Now, let's calculate the values step by step.

Step 1: Calculate the force of friction.
Ffriction = μk * Fn

Step 2: Calculate the normal force.
Fn = m * g

Step 3: Calculate the net force.
Net force = Fapplied - Ffriction

Finally, we can use Newton's second law of motion to find the acceleration:
Fnet = m * a

where
Fnet is the net force,
m is the mass of the crate, and
a is the acceleration.

Let's calculate the values. Please provide the values of the applied forces and the mass of the crate.

To determine the magnitude and direction of the acceleration of the crate, we need to consider the forces acting on it.

1. First, let's calculate the force of friction between the crate and the floor. Frictional force can be determined using the formula:

Frictional force = coefficient of friction * normal force

Here, the normal force is equal to the weight of the crate, which can be calculated as:

Weight = mass * acceleration due to gravity

Substituting the given mass of the crate (25.1 kg) and acceleration due to gravity (9.8 m/s²), we can find the weight.

2. Next, let's calculate the sum of the two applied forces (Force 1 and Force 2). We can assume these forces are acting horizontally on the crate.

Since the crate is initially at rest, the sum of these forces must overcome the force of friction to get the crate moving. Therefore, the sum of the applied forces must be greater than or equal to the force of friction.

3. Once we have the net force acting on the crate, we can use Newton's second law of motion to calculate the acceleration. The formula is:

Net force = mass * acceleration

Rearranging the formula, we can calculate the acceleration:

Acceleration = Net force / mass

4. Finally, to determine the direction of acceleration, we need to consider the direction of the net force. The direction of the net force depends on the relative magnitudes and directions of the applied forces and the force of friction.

By following these steps and applying the appropriate formulas, you can calculate the magnitude and direction of the crate's acceleration.