g= 10 m/s^2 ### Physics Problem: Force Analysis#### Problem DescriptionA block with mass \( m = 8 \) kg is being analyzed for its forces. The block is subject to several forces, including gravitational force, normal force, frictional force, and tension at an angle of \( 30^\circ \). The diagram below illustrates the forces acting on the block:#### Diagram Explanation- **Forces Shown:** - **\( F_{\text{norm}} \)**: Normal force acting perpendicular to the surface. - **\( F_{\text{tens}} \)**: Tension force acting at an angle of \( 30^\circ \) from the horizontal, with a magnitude of 60 N. - **\( F_{\text{frict}} \)**: Frictional force opposing the motion. - **\( F_{\text{grav}} \)**: Gravitational force acting downward.- **Details:** - Coefficient of friction (\( \mu \)) is \( 0.50 \). - The block's mass (\( m \)) is \( 8 \) kg.#### Calculation SectionFill in the blanks below with the corresponding forces calculated from the diagram:1. **Normal Force (\( F_{\text{norm}} \))**: \[ F_{\text{norm}} = \quad \_\_\_\_\_\_ \text{ N} \]2. **Force of Friction (\( F_{\text{frict}} \))**: \[ F_{\text{frict}} = \quad \_\_\_\_\_\_ \text{ N} \]3. **Force of Gravity (\( F_{\text{grav}} \))**: \[ F_{\text{grav}} = \quad \_\_\_\_\_\_ \text{ N} \]4. **Acceleration (\( a \))**: \[ a = \quad \_\_\_\_\_\_ \text{ m/s}^2 \text{, right} \]5. **Net Force (\( \Sigma F \))**: \[ \Sigma F = \quad \_\_\_\_\_\_ \text{ N} \]This exercise helps in understanding the concepts of force balancing, friction, and acceleration in classical mechanics.

Answered: Image /qna-images/answer/10c86ab8-c58c-4aff-b643-0d52a1498666.jpg

Ffrict= From= P=0.50 a= Fnorm (normal force) = Ffrict (force of friction) = Fgrav (force of gravity) = a (acceleration) = ---- ZF (net force) = ____________N O m = 8 kg ΣF= 30° Fgav = 81 7 ______N N ____________N m/s/s, right m/s/s, right Fhens = 60 N W

Ffrict= From= P=0.50 a= Fnorm (normal force) = Ffrict (force of friction) = Fgrav (force of gravity) = a (acceleration) = ---- ZF (net force) = N O m = 8 kg ΣF= 30° Fgav = 81 7 N N __N m/s/s, right m/s/s, right Fhens = 60 N W

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A car is being towed 20 degrees north of west with a force of 1500 N. Express the force vector in…

A: Given data: Force (F) = 1500 N Angle (θ) = 20°, North of West Required: The force vector in terms of…

Q: Q: If A- fi+2f) and E - fi+2f]+ 3f k,fis constant, find the angle between these two vectors?

Q: Two particles m; = 5kg and m2 = 10kg moving as shown in the figure. If v- = 2m/s and v2 = 6m/s. If…

Q: Don't use chat gpt It Chatgpt means downvote

A: Step - 1 : Given that:θ=31.2°ν0=19.9m/sh=16.7mStep - 2 : Formula: We know…

Q: given the quantities a=4.6m, b=4.4s, c=75 m/s, what is the value of the quantity d=a^3/cb^2?

Q: What mass of gasoline (in kg) can be contained in a fuel tank whose dimensions are 44 cm x 82 cm x…

A: Density is a measure of mass per volume. Density = mass/volume So, Mass = density × volume

Q: Convert the acceleration due to gravity 31.9 ft/s^2 to CGS.

A: Given:- the acceleration due to gravity 31.9 ft/s^2 Find:- Convert the acceleration due to gravity…

Q: Ms. Peet is driving along at 9 m/s when she needs to slow down as she approaches a red light. She…

A: Given, Initial velocity u=9 m/s Deceleration, a=-1.5ms2 he decelerates for time, t=6 s After the…

Q: Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the…

A: a)Resolve vector A into respective x and y components as,

Q: Problem 5 An 18-N weight is held by two strings, as show. What are both tensions T₁ and T₂?

A: Weight=18 Nvalues of T1 and. T2values of T1 and. T2

Q: when a mass of 50 g is attached to a spring, the spring displaces 7.6 cm. Calculate the spring…

A: Mass (m) = 50 g = 0.05 kg displacement (d) = 7.6 cm = 0.076 m

Q: 25° 125 N 62⁰ b = 40 N 130 N 20% a = 15 N 23° 45° 150 N 180 N

A: To find the resultant force, we will first find components of given forces along 'x' and 'y'…

Q: Find the unit vector of direction for the following vector quantities: (a) Force F = (3.01 –-…

Q: A vector has an x-component of - 25.0 units and y-componet of 40.0 units. Find the magnitude and…

Q: The acceleration of an object moving through a viscous fluid (like honey) is a = -bv / m, where v is…

A: Option a.) Kg/s

Q: A box of mass 7.54 kg is being pushed along a frictionless floor by a force of magnitude 14.86 N…

A: The normal force acting vertically upwards on the box balances the weight of the box(acting…

Q: What mass of gasoline (in kg) can be contained in a fuel tank whose dimensions are 41 cm x 86 cm x…

A: Density of gasoline, Length of the tank, Breadth of the tank, Height of the tank,

Q: Two forces act on an object. The first force has a magnitude of 19.0 N and is oriented 68.0°…

A: The net force acting on any object can be given as the vector sum of all the forces acting on the…

Q: If the speed of a vehicle increases by 22%, by what factor does its kinetic energy increase? Kinetic…

A: Given data: The speed of vehicle increases by 22% Required: The increase in kinetic energy

Q: The force acting on an object is given by F, = (6x - 10) N, where x is in meters. (a) Choose the…

Q: A - B B = (110 cm, 2 270°) Find for the following vectors: A = (122 cm, Z 145°)

A: Given : A→ = 122 cm , 145o B→ = 110 cm , 270o

Q: A vector→AA→has a magnitude of 44.0 m and points in a direction 20.0° below the positive x-axis. A…

A: The vector A is in the fourth quadrant since it is 20o below positive x axis. In the fourth…

Q: . All quantities here are in meters, written as (x, y, z) Given two vectors: A = (2.0 m, -1.0 m, 0.0…

Q: 01 = 26°, 82 = 37', T1 = 89.2 N, g=9.80 m/s2, m = ? kg, Enter your answer using 3 significant…

A: Given,

Concept explainers

Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.

Question

g= 10 m/s^2

### Physics Problem: Force Analysis

#### Problem Description
A block with mass \( m = 8 \) kg is being analyzed for its forces. The block is subject to several forces, including gravitational force, normal force, frictional force, and tension at an angle of \( 30^\circ \). The diagram below illustrates the forces acting on the block:

#### Diagram Explanation
- **Forces Shown:**
- **\( F_{\text{norm}} \)**: Normal force acting perpendicular to the surface.
- **\( F_{\text{tens}} \)**: Tension force acting at an angle of \( 30^\circ \) from the horizontal, with a magnitude of 60 N.
- **\( F_{\text{frict}} \)**: Frictional force opposing the motion.
- **\( F_{\text{grav}} \)**: Gravitational force acting downward.

- **Details:**
- Coefficient of friction (\( \mu \)) is \( 0.50 \).
- The block's mass (\( m \)) is \( 8 \) kg.

#### Calculation Section
Fill in the blanks below with the corresponding forces calculated from the diagram:

1. **Normal Force (\( F_{\text{norm}} \))**:
\[
F_{\text{norm}} = \quad \_\_\_\_\_\_ \text{ N}
\]

2. **Force of Friction (\( F_{\text{frict}} \))**:
\[
F_{\text{frict}} = \quad \_\_\_\_\_\_ \text{ N}
\]

3. **Force of Gravity (\( F_{\text{grav}} \))**:
\[
F_{\text{grav}} = \quad \_\_\_\_\_\_ \text{ N}
\]

4. **Acceleration (\( a \))**:
\[
a = \quad \_\_\_\_\_\_ \text{ m/s}^2 \text{, right}
\]

5. **Net Force (\( \Sigma F \))**:
\[
\Sigma F = \quad \_\_\_\_\_\_ \text{ N}
\]

This exercise helps in understanding the concepts of force balancing, friction, and acceleration in classical mechanics.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

2.1. (a) Calculate the magnitude and direction of vector Ā = 42 m â – 27 m ŷ (b) Calculate the r and y components of the vector B = 24 m/s @ 115° -320] kg m/s -180 (c) Calculate the magnitude and direction of vector Č = (d) Calculate the a and y components of the vector Ď = 0.75 m -30°
Jack and Jill ran up the hill at 2.9 m/s. The horizontal component of Jill's velocity vector was 2.5 m/s a. What was the angle of the hill? b.
The total aerodynamic force F acting on the airplane has a magnitude of 6250 lb. Resolve this force into vertical and horizontal components (called the liftand the drag, respectively)
The magnitude F (in newtons) of a force F and the magnitude G (in newtons) of a force G satisfy the vector equation 2Fi-3Fj+2Gi+2Gj-3i=0 where i and j are the Cartesian unit vectors. What is the value of F? 9 10 3 O 5/60/5 10 06
If a force is applied with a magnitude of 200 N at 30 degrees above the horizontal, what are the horizontal and vertical components of this force? Group of answer choices Fa,h= 136.667 N Fa,v= 87.334 N Fa,h= 200 N Fa,v= 200 N Fa,h= 173.2 N Fa,v= 100 N Fa,h= 150 n Fa,v= 50 N
6.
A person who mass is m=72.0kg steps onto a mechanical bathroom scale on an incline at an angle of 28.1deg with the horizontal. What is the reading on the scale?
The magnitude of the resultant force is?
i need the answer quickly
The magnitude of the force F is 720 Ib. Express F as a vector in terms of the unit vectors i and j. Identify both the scalar and vector components of F. Y, ft F = 720 Ib | -x, ft |_ 33° A (6,-1) Answers: Vector expression: F = (L 5) Ib the tolerance is +/-2% Scalar components: Fx = |Ib, Fy = Ib Vector components: Fx |i lb, Fy = Ib
58. Find the unit vector of direction for the following vector quantities: (a) Force F = (3.0i – 2.0 j )N , (b) displacement D = (-3,0 i – 4.0 j )m, and (c) velocity = (-5.00 i +4.00 j )m/s . -5.00î
For a wind turbine that is used to produce electricity for a utility company, the power output per unit area swept by the blades is 8.4 kW /m2.Convert this quantity to the dimensions of hp/ft. (Express your answer using four significant figures.) 8.4 kW /m? = |hp/ft?