# Calculate Horizontal Force at an Incline

• am08
In summary, a block with a mass of 3.54 kg is pulled by a cord with a force of 11.90 N at an angle of 16.0o above the horizontal. The acceleration is 3.36 m/s^2 and the horizontal force can be calculated by finding the components of the force.
am08
[SOLVED] Force at an Incline

A 3.54 kg block located on a horizontal frictionless floor is pulled by a cord that exerts a force F=11.90 N at an angle theta=16.0o above the horizontal, as shown. What is the speed of the block 6.10 seconds after it starts moving?

Fgravity = (3.54*9.8) = 34.7N

F/m = a ... 11.90/3.54 = 3.36 m/s^2

How would I calculate the horizontal force?

First i think that the way you solved for your acceleration was wrong because if it is at an angle, you will need to find the components and set that to Fnet. For example, since the cord is exerting a force at 11.90 N at 16.0o that will be your Ft. you will need to find Ftx after that.

To calculate the horizontal force, we can use the formula Fhorizontal = Fapplied*cos(theta), where Fapplied is the applied force and theta is the angle at which it is applied. In this case, Fapplied is the given force of 11.90 N and theta is 16.0 degrees. Plugging these values into the formula, we get Fhorizontal = 11.90*cos(16.0) = 11.31 N. This is the horizontal component of the applied force, which is responsible for the horizontal acceleration of the block.

## 1. How do you calculate the horizontal force at an incline?

The horizontal force at an incline can be calculated using the formula F = mg sinθ, where F is the horizontal force, m is the mass of the object, g is the acceleration due to gravity (9.8 m/s²), and θ is the angle of the incline.

## 2. Why is it important to calculate the horizontal force at an incline?

Calculating the horizontal force at an incline is important because it helps us understand the forces acting on an object on an inclined plane. It can also help us determine the minimum force required to keep an object from sliding down the incline.

## 3. What units are used to measure the horizontal force at an incline?

The units used to measure the horizontal force at an incline are Newtons (N). This is the standard unit of force in the International System of Units (SI).

## 4. Can the horizontal force at an incline ever be zero?

Yes, the horizontal force at an incline can be zero. This occurs when the angle of the incline is 0°, meaning it is a flat surface. In this case, the object will not experience any horizontal force as it is not on an incline.

## 5. What factors can affect the horizontal force at an incline?

The horizontal force at an incline can be affected by the mass of the object, the angle of the incline, and the coefficient of friction between the object and the incline. Other factors such as air resistance and external forces may also have an impact on the horizontal force.

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