Three forces acting on an object are given by  F1 = (−1.6î + 6.55ĵ) N, F2 = (4.75î − 1.2ĵ) N, and  F3 = (−44.5î) N. The object experiences an acceleration of magnitude 3.90 m/s2.   (a) What is the direction of the acceleration? _________° (counterclockwise from the +x-axis)     (b) What is the mass of the object?

Q: Often a vector is specified by a magnitude and a direction; for example, a rope with tension T…

A: Magnitude of the vector: T = 20NDirection of the vector: θ = 35 degrees north of eastnow finding the…

Q: 37° 37 F, = 19.0 N F2 = 38.0 N F3 = 19.0 N

A: Given ,

Q: A cart of mass 8.00 kg was moved by applying two constant forces. Force 1 is 28.0 N at 42.0°, and…

A: Given: mass of cart, m = 8.0 kgForce, F1 = 28.0 N at 42°Force, F2 = 13 N at 110°

Q: The total force on a 20-kg object is ( 15 ı ^ + 35 ȷ ^ + 45 k ^ ) Newtons.  Calculate the object's…

A: From Newton’s second law of motion, determine the acceleration of the object.

Q: If a mass of 3.58 kg object is attached to a string. If the force of tension in the string  is 53.7…

A:

Q: An inclined plane has an angle of inclination of 20° from the horizontal. What time will it take for…

A: This problem can be solved using newton's laws of motion  and vectors concept.

Q: Three forces acting on an object are given by F₁ = (−2.15î + 7.45ĵ) N, F₂ = (5.15î – 1.9ĵ) N, and F3…

A:

Q: Only two forces act on an object (mass=3.61 kg), as in the drawing. Find (a) the magnitude and (b)…

A: Given data: The mass m=3.61 kg The force Fx=40.0 N The force Fy=60.0 N

Q: 58. Find the unit vector of direction for the following vector quantities: (a) Force F = (3.0ï —…

A:

Q: 145.0° 60.0 N -- +x 40.0 N

A:

Q: Three forces acting on an object are given by F, = (-1.9î + 5.80j) N, F, = (4.95î - 2.15j) N, and F,…

A: F1→ = (-1.9i^+5.8 j^) F2→ = (4.95i^ - 2.15 j^) F3→ = (-44i^) Acceleration , a = 3.6 m/s2 . To find =…

Q: You place a crate of mass 39.4 kg on a frictionless 3.67- meter-long incline. You release the crate…

A: Given,

Q: You place a crate of mass 20.1 kg on a frictionless 4.69-meter-long incline. You release the crate…

A:

Q: Only two horizontal forces act on a 2.2 kg body. One force is 7.7 N, acting due east, and the other…

A: Answer is given below :-Explanation:

Q: A particle of mass 1.2 kg is acted on by forces F, = 18î N, F, = -11î N, and F, = 9.0j N. What is…

A: Given data: Mass (m) = 1.2 kg F1→ = 18i^ N  , F2→ = -11i^ Nand F3→ = 9.0j^ N Required: The…

Q: A block of mass 22 kg moves up a 32 degree inclined plane by being pulled by a string attached to a…

A:

Q: y Q1. If 0 = 60° and F = 20 kN, determine the magnitude of the resultant force and its direction…

A: The force F can be resolved into two components: Fx and Fy. These are the horizontal and vertical…

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: You place a crate of mass 38.8 kg on a frictionless 2.20-meter-long incline. You release the crate…

A:

Q: A block of mass 22 kg moves up a 32 degree inclined plane by being pulled by a string attached to a…

A:

Q: A cord passes over a massless, frictionless pulley to connect an object with mass mA to an object…

A:

Q: Three forces acting on an object are given by F, (-2.351 + 6.95j) N, F, (4.701 - 1.65j) N, and F,…

A:

Q: The mass of an object is 25 kg.  Its acceleration is ( 3 ı ^ + 5 ȷ ^ + 7 k ^ ) m/s2.  Calculate the…

A: The equation for the force is given as The vector form of force can be obtained as

Q: As you will see in a later chapter, forces are vector quantities, and the total force on an object…

A:

Q: While an elevator of mass 930 kg moves downward, the tension in the supporting cable is a constant…

A:

Q: Two people lift a chest of mass 13 kg. Each person's hand is at an angle of 0 = 36 degrees to the…

A:

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: