c) What acceleration is produced (magnitude and direction)? What is the speed of the mass after the forces have acted for a time of 3.00 seconds?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**Physics Questions:**

**c) What acceleration is produced (magnitude and direction)?**

**d) What is the speed of the mass after the forces have acted for a time of 3.00 seconds?**

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Since the image contains text-based questions related to physics, there are no graphs or diagrams to describe. These questions appear to focus on the concepts of acceleration and speed in the context of applied forces over a given time period.
Transcribed Image Text:Certainly! Here's a transcription suitable for an educational website: --- **Physics Questions:** **c) What acceleration is produced (magnitude and direction)?** **d) What is the speed of the mass after the forces have acted for a time of 3.00 seconds?** --- Since the image contains text-based questions related to physics, there are no graphs or diagrams to describe. These questions appear to focus on the concepts of acceleration and speed in the context of applied forces over a given time period.
**Problem Statement:**

5. A mass of 3.00 kg is initially at rest on a horizontal, frictionless surface. A rope with a tension of 45.0 N in the x-direction pulls on the object. An applied force of 72.0 N directed at an angle of -50.0° with respect to the x-direction also acts on the mass.

a) What is the normal force acting on the mass?

b) What is the net force in the x-direction?

**Explanation and Analysis:**

- The problem involves calculating the normal force and the net force in the x-direction for a mass on a frictionless surface.
  
- **Normal Force:** The normal force is the perpendicular force exerted by a surface to support the weight of an object resting on it. On a frictionless, horizontal surface, and without vertical forces (aside from gravity) affecting the mass, the normal force typically equals the gravitational force acting on the object, which is calculated as the product of mass (m) and gravitational acceleration (g = 9.8 m/s²).

- **Net Force in the x-direction:** This is found by analyzing all horizontal forces acting on the object. In this scenario, you combine the horizontal components of the pulling forces (one at 45.0 N and another at a directional angle of -50.0° with a 72.0 N magnitude). By resolving the vector of the angled force into horizontal and vertical components using trigonometric functions, the net horizontal force can be calculated.
Transcribed Image Text:**Problem Statement:** 5. A mass of 3.00 kg is initially at rest on a horizontal, frictionless surface. A rope with a tension of 45.0 N in the x-direction pulls on the object. An applied force of 72.0 N directed at an angle of -50.0° with respect to the x-direction also acts on the mass. a) What is the normal force acting on the mass? b) What is the net force in the x-direction? **Explanation and Analysis:** - The problem involves calculating the normal force and the net force in the x-direction for a mass on a frictionless surface. - **Normal Force:** The normal force is the perpendicular force exerted by a surface to support the weight of an object resting on it. On a frictionless, horizontal surface, and without vertical forces (aside from gravity) affecting the mass, the normal force typically equals the gravitational force acting on the object, which is calculated as the product of mass (m) and gravitational acceleration (g = 9.8 m/s²). - **Net Force in the x-direction:** This is found by analyzing all horizontal forces acting on the object. In this scenario, you combine the horizontal components of the pulling forces (one at 45.0 N and another at a directional angle of -50.0° with a 72.0 N magnitude). By resolving the vector of the angled force into horizontal and vertical components using trigonometric functions, the net horizontal force can be calculated.
Expert Solution
Step 1: Data given

Mass of the body 3.0 kg 

Tension force 45.0 N 

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