Three forces acting on an object are given by \( \vec{F_1} = (-1.0 \hat{i} + 6.75 \hat{j}) \, \text{N} \), \( \vec{F_2} = (4.90 \hat{i} - 1 \hat{j}) \, \text{N} \), and \( \vec{F_3} = (-4 \hat{i}) \, \text{N} \). The object experiences an acceleration of magnitude \( 3.95 \, \text{m/s}^2 \).(a) What is the direction of the acceleration?\[ \boxed{}^\circ \, \text{(counterclockwise from the +x-axis)} \](b) What is the mass of the object?\[ \boxed{} \, \text{kg} \](c) If the object is initially at rest, what is its speed after \( 20.0 \, \text{s} \)?\[ \boxed{} \, \text{m/s} \](d) What are the velocity components of the object after \( 20.0 \, \text{s} \)? (Let the velocity be denoted by \( \vec{v} \).)\[ \vec{v} = (\boxed{}) \hat{i} + (\boxed{}) \hat{j} \, \text{m/s} \]

Name: Three forces acting on an object are given by \( \vec{F_1} = (-1.0 \h
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: Three forces acting on an object are given by \( \vec{F_1} = (-1.0 \hat{i} + 6.75 \hat{j}) \, \text{N} \), \( \vec{F_2} = (4.90 \hat{i} - 1 \hat{j}) \, \text{N} \), and \( \vec{F_3} = (-4 \hat{i}) \, \text{N} \). The object experiences an accelerati

Given: The force acting on object is F1⇀=-1.8i^+6.75j^ N. The force acting on object is…

Science

Physics

Three forces acting on an object are given by F, = (-1.8i + 6.75) N, F, = (4.90i - 15) N, and F, = (-46) N. The object experiences an acceleration of magnitude 3.95 m/s. (a) What is the direction of the acceleration? •(counterclockvise from the +x-axis) (b) What is the mass of the object? kg (e) If the object is initially at rest, what is its speed after 20.0 s? m/s (d) What are the velocity components of the object after 20.0 s? (Let the velocity be denoted by v.) i) m/s i+

Three forces acting on an object are given by F, = (-1.8i + 6.75) N, F, = (4.90i - 15) N, and F, = (-46) N. The object experiences an acceleration of magnitude 3.95 m/s. (a) What is the direction of the acceleration? •(counterclockvise from the +x-axis) (b) What is the mass of the object? kg (e) If the object is initially at rest, what is its speed after 20.0 s? m/s (d) What are the velocity components of the object after 20.0 s? (Let the velocity be denoted by v.) i) m/s i+

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: 81. •In a mail-sorting facility, a 2.5-kg package slides down an inclined plane that makes an angle…

Q: • Pulling up on a rope, you lift a 7.27-kg bucket of water from a wellwith an acceleration of 1.24…

A: Let T denote the tension in the rope, m denote the mass of the bucket, and a denote the acceleration…

Q: When you apply a constant force to an object does the object move at a constant velocity or does its…

A: According to the newtons second law of motion:Force on a body is equal to the rate of change of…

Q: A force F1= 16N is applied to an object with the mass m = 2 kg to move it across the surface…

A: Applied force = F1 = 16 N Friction force = f = F2 = 8 N Mass = m = 2 kg

Q: 3-44. A scale is constructed using the 10-kg mass, the 2-kg pan P, and the pulley and cord…

Q: F1= - 10 N 30 For this problem, m=10 Kg. Please answer the following: A) What is the…

Q: - A 6.9 kg object undergoes an acceleration of 3.9 m/s2. (a) What is the magnitude of the resultant…

A: (a) Consider an object of mass(m) 6.9 kg going with the acceleration(a) of 3.9 m/s2. Write newton’s…

Q: Part A A downward force of magitude SNisexerted on the book by the force of O he table. O gavity. O…

Q: The three concurrent forces acting on the post produce a resultant force%3D0. If F1 = 2*F2 and F1 is…

A: This question is based on the concept of balancing force.

Q: Two forces F1 and F2 act on a 7.40-kg object: F- 40.0 N and F2 10.0 N. 90.0° 60.0 (a) Find the…

Q: An elevator shown below filled with passengers has a mass of 1650 kg. The elevator does motions (a)…

A: Given that: Mass of (elevator+person), mE=1650 kg

Q: 7SSMThere are two forces on the 2.00 kg box in the overhead view of Fig. 5-31, but only one is…

A: According to question we need to find --- find the second force (a) in unit-vector notation and as…

Q: An object of mass 40 kg is moving in the +y-direction with a speed of 95 m/s from a location m. A…

A: Note: As per Bartleby guidelines only the first three sub-parts can be solved.Kindly repost the…

Q: A constant unbalanced force is applied to an object for a period of time. Which graph best…

A: Given data: Applied force is constant and unbalanced Required: Acceleration time graph

Q: 1 pts A block of mass M-2 kg moves with a uniform velocity of magnitude v 2ms while being acted on…

Q: • An object has an acceleration of 6.0 m/s/s. If the net force was tripled and the mass were…

Q: Two forces F, and F, act on a 6.80-kg object. F, - 40.0 N and F,- 14.0 N. 90.0° 60.0° (a) Find the…

A: Given: The mass of the object is, m=6.80 kg. Force, F1=40.0 N. Force F2=14.0 N Introduction: When…

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

Q: 5) A body of mass m moves in a horizontal direction such that at time t its position is given by…

A: According to question we need to find time dependent force acting on the body?

Q: A mop is pushed across the floor with a force ? of 43.5 N at an angle of ?=49.2∘. The mass of the…

A: N=43.5N sin49.2° +2.25*9.8=54.92N

Q: A person brings a box onto an elevator. She places the box on the elevator floor. As the elevator…

Q: Rank the following situations in order of the magnitude of the object’s acceleration, from lowest to…

A: Newton's Second Law is used to find acceleration which is given as, F=ma Acceleration, a=Fm .... 1…

Concept explainers

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

Topic Video

Question

Three forces acting on an object are given by \( \vec{F_1} = (-1.0 \hat{i} + 6.75 \hat{j}) \, \text{N} \), \( \vec{F_2} = (4.90 \hat{i} - 1 \hat{j}) \, \text{N} \), and \( \vec{F_3} = (-4 \hat{i}) \, \text{N} \). The object experiences an acceleration of magnitude \( 3.95 \, \text{m/s}^2 \).

(a) What is the direction of the acceleration?
\[ \boxed{}^\circ \, \text{(counterclockwise from the +x-axis)} \]

(b) What is the mass of the object?
\[ \boxed{} \, \text{kg} \]

(c) If the object is initially at rest, what is its speed after \( 20.0 \, \text{s} \)?
\[ \boxed{} \, \text{m/s} \]

(d) What are the velocity components of the object after \( 20.0 \, \text{s} \)? (Let the velocity be denoted by \( \vec{v} \).)
\[ \vec{v} = (\boxed{}) \hat{i} + (\boxed{}) \hat{j} \, \text{m/s} \]

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

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

Two forces, F1=20 N and F2=10 N, are acting on a block of mass 5kg sitting on a horizontal surface with coefficient of kinetic friction k = 0.17. The block moved to + x-axes, what is themagnitude of: a) the normal force? b) the friction force? c) the net force on the block? d) the resulting acceleration of the block?
Suppose half of the weight of a small 1.4 • 103 kg utility truck is supported by its two drive wheels. Assume the coefficients of static and kinetic friction are μs=1.0 and μk=0.7. m = 1.4 • 103 kg 1.) What is the magnitude of max acceleration it can achieve on dry concrete in m/s^2? 2) What is the magnitude of max acceleration it can achieve on dry concrete in m/s^2 assuming the truck has 4 wheel drive ?
A stereo rests on a horizontal surface. The normal reaction of the surface on the stereo is 13N vertically upwards. What is the mass of the stereo, in kilograms to two significant figures? Take the magnitude of the acceleration due to gravity to be 9.8ms-2
•When you lift a bowling ball with a force of 82 N, the ball accelerates upward with an acceleration a. If you lift with a force of 92 N,the ball’s acceleration is 2a. Find (a) the weight of the bowling ball,and (b) the acceleration a.
-> Two forces FA and FB are applied to an object whose mass is 13.9 kg. The larger force is FA. When both forces point due east, the object's acceleration has a magnitude of 0.535 m/s². However, when FA points due east and FB points due west, the acceleration is 0.417 m/s², due east. Find (a) the magnitude of FA and (b) the magnitude of FB. → (a) Number in (b) Number i Units Units m/s m/s
• A 92-kg water skier floating in a lake is pulled from rest to a speedof 12 m>s in a distance of 25 m. What is the net force exerted onthe skier, assuming his acceleration is constant?
2cd
Data m1=2 Kg m2=3 Kg u(kinetic)=0.1 Calculate in the system: a-) acceleration b-) tension
•G h A UBC genng Given: The horizontal force F=450 is applied at a height y 0.6 m from the bottom of the cart The cart's total mass of m 350 kg with a center of mass at G. The ground. d_A = 0.91 m and d_B = 0.78 m. Find: of gravity G is located at a height h = 1.5 m from the al Acceleration of the cart b/ Normal forces at A and B. Assume the wheels have negligible mass and no rolling resistance CamScanner
•A baseball of mass m and initial speed v strikes a catcher’s mitt.If the mitt moves a distance ∆x as it brings the ball to rest, what isthe average force it exerts on the ball?
•When two people push in the same direction on an object ofmass m they cause an acceleration of magnitude a1. When thesame people push in opposite directions, the acceleration of theobject has a magnitude a2. Determine the magnitude of the forceexerted by each of the two people in terms of m, a1, and a2.
Two forces F₁ and F2 act on a 8.20-kg object. F₁ = 1 m 90.0° a F₁ 30.0 N and F2 m = 16.0 N. 60.0⁰ F₁ b (a) Find the acceleration of the object for the configuration of forces shown in Figure (a). magnitude m/s² direction • (counterclockwise from F₁) (b) Find the acceleration of the object for the configuration of forces shown in Figure (b). m/s² magnitude direction • (counterclockwise from F₁)