**Problem Statement:**In the following figure, the horizontal surface on which this block slides is frictionless. If the two forces acting on it each have a magnitude \( F = 35.0 \, \text{N} \), and \( M = 17.0 \, \text{kg} \), what is the magnitude of the resulting acceleration of the block (in \( \text{m/s}^2 \))?**Diagram Explanation:**- A block labeled \( M \) is positioned on a horizontal surface, indicating it is free to slide.- There are two forces acting on the block: - The first force \( \vec{F} \) is angled \( 30^\circ \) above the horizontal, directed towards the block. - The second force \( \vec{F} \) is horizontal, pointing to the right. The diagram represents the setup for calculating the net acceleration of the block using Newton's laws of motion, considering the decomposition of forces into horizontal components. The surface is specified as frictionless, suggesting that only the given forces contribute to the block's motion in this scenario.

Given: The magnitude of the applied force is 35 N. The mass of the block is 17 kg. The surface is…

In the following figure, the horizontal surface on which this block slides is frictionless. If the two forces acting on it each have magnitude F = 35.0 N, and M = 17.0 kg, what is the magnitude of the resulting acceleration of the block (in m/s?)? 30°

In the following figure, the horizontal surface on which this block slides is frictionless. If the two forces acting on it each have magnitude F = 35.0 N, and M = 17.0 kg, what is the magnitude of the resulting acceleration of the block (in m/s?)? 30°

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 penguin slides at a constant velocity of 3.90 m/s down an icy incline. The incline slopes above…

A: Friction f = uN = umg cos th Sum of forces = 0 since a = 0 as speed is constant => mg sin th -…

Q: m₁ 30° m2 60° Two blocks of masses m1 = 6 kg and m2 = 2 kg are on either side of the wedge shown in…

A: Masses of blocks m1 = 6 kg and m2 = 2 kg to find - Magnitude of acceleration and tension in the…

Q: In the figures, the masses are hung from an elevator ceiling. Assume the velocity of the elevator is…

Q: consider a system consisting of a rough surface, three masses, two massless strings, and a massless…

Q: Two blocks are connected by a string that goes over an ideal pulley as shown in the figure. The…

A: For Block A, Frictional force, Fk=μk.mA.g.sinθ, μk= Coefficient of kinetic friction Component of…

Q: A horizontal force of magnitude F = 57.5 N pushes on a block of mass m = 4.7 kg. The block is on a…

A: The given situation can be represented as

Q: The Fig. Q1b below shows forces F1, F2 and F3 acting on a particle P. Determine the resultant force…

A: F1→=7cos30°i^+7sin30°j^F2→=13cos60°i^+13sin60°j^F3→=-11cos20°i^-11sin20°j^ The Resultant force,…

Q: Consider the folowing situation: A 2 kg box on an inclined frictionless table pulled up the incline…

A: Given data: The given mass of the block, m=2 kg. The angle of the inclined plane, θ=15°.

Q: Problem 6: A person is pulled away from a burning building as in the figure to the right. Their mass…

Q: The figure to the below shows a mass, m₁=7.80 kg, on a frictionless incline with an angle 32.2º. It…

Q: A block is pushed across a horizontal surface by the force shown. If the coefficient of kinetic…

A: The free body diagram of the system is given below: The…

Q: An antelope is being pulled by two forces whose vector-component expressions are: F1 = -3.5Ni +…

A: The forces are F1 = -3.5Ni^ + 3.4Nj^ + 3.9Nk^ F2 = 3Ni^ + 2.6Nj^ + -1.5Nk^ The magnitude of the…

Q: The figure below shows two blocks connected by a frictionless pully. If block m1= 1.0 kg and m2=3.0…

A: m1 = 1 kg m2 = 3 kg μ = 0.1θ1 =31oθ2 = 25o

Q: Two horizontal forces, P and Q, are acting on a block that is placed on a table. We know that P =…

A: Given: The mass of the object is 5.1 kg. P→=-2.1i^+4.25k^ N The velocity of the object is constant.

Q: Blocks 1 and 2 are moving to the right on a frictionless surface by the tension TB = 36 N as shown.…

A: Given, Surface is frictionless

Question

**Problem Statement:**

In the following figure, the horizontal surface on which this block slides is frictionless. If the two forces acting on it each have a magnitude \( F = 35.0 \, \text{N} \), and \( M = 17.0 \, \text{kg} \), what is the magnitude of the resulting acceleration of the block (in \( \text{m/s}^2 \))?

**Diagram Explanation:**

- A block labeled \( M \) is positioned on a horizontal surface, indicating it is free to slide.
- There are two forces acting on the block:
- The first force \( \vec{F} \) is angled \( 30^\circ \) above the horizontal, directed towards the block.
- The second force \( \vec{F} \) is horizontal, pointing to the right.

The diagram represents the setup for calculating the net acceleration of the block using Newton's laws of motion, considering the decomposition of forces into horizontal components. The surface is specified as frictionless, suggesting that only the given forces contribute to the block's motion in this scenario.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Workmen are trying to free an SUV stuck in the mud. To extricate the vehicle, they use three horizontal ropes, producing the force vectors shown in the figure.(Figure 1) Take F₁ = 864 NF2 = 784 N, and F3 = 384 N. Figure Part A F₂ 53° F3 32° F₁ Find the components of each of the three pulls. Enter your answer as three numbers, separated with commas. F1, F2, F32 = ΜΕ ΑΣΦ Submit Previous Answers Request Answer × Incorrect; Try Again Part B Find the y components of each of the three pulls. Enter your answer as three numbers, separated with commas. ΜΕ ΑΣΦ Fly, F2y, Fay = ? ? N N 1 of 1
FTA FTB mA = 8.0 kg mg 10.0 kg 619 32° FTA = FTB for a pully with negligible mass as and friction. What are FTA = FTB ? Give your answer in Newtons to the correct number of significant figures. Remember: For a problem like this, an FBD is required on the midterm!
A block of mass 50.0 kg slides at uniform speed down a plane inclined at 12.0° to the horizontal. What is the coefficient of friction between the surfaces in contact? What force parallel to the plane is required to move the block at uniform speed up the plane?
The figure shows a box of dirty money (mass m₁ = 3.5 kg) on a frictionless plane inclined at angle 0₁ = 34°. The box is connected via a cord of negligible mass to a box of laundered money (mass m₂ = 1.6 kg) on a frictionless plane inclined at angle 02 = 68°. The pulley is frictionless and has negligible mass. What is the tension in the cord? Number Units M²1 m2 02/
You place a crate of mass 43.2 kg on a frictionless 4.99-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.99 s after you released it. What is the angle of the incline? 17.9 degrees 14.9 degrees 20.9 degrees 25.1 degrees
You place a crate of mass 20.3 kg on a frictionless 2.61-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.01 s after you released it. What is the angle of the incline? 37.7 degrees 31.4 degrees 44.0 degrees 57.2 degrees
A force F is applied to a block to move it up a θ = 27° inclined frictionless surface. If F = 72 Newton, and M =4.2 kg, what is the magnitude of the acceleration of the block?
An antelope is being pulled by two forces whose vector-component expressions are: F1 = 3.6Ni + -8.9Nj + -3.7Nk F2 = 8.2Ni + -1.7Nj + 2.4Nk What is the angle (in degrees) between these two vectors?