# Calculate the torque (magnitude and direction) about point due to the force in each of the situations sketched in the figure below

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### physics

In the figure, forces A, B, C and D each have magnitude 50.0 N and act at the same point on the object. What torque (magnitude and direction) does A force exert on the object about point P? What torque (magnitude and direction) B does force exert on the object about point P? ...

### Physics

The 22 cm diameter disk in the figure below can rotate on an axle through its center. At the end of this problem, you will calculate the magnitude and direction of the net torque about the axle when F = 22 N. The net torque is just the sum of the individual torques. Depending ...

### Physics

A uniform disk with mass m = 8.54 kg and radius R = 1.35 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 333 N at the edge of the disk on the +x-axis, 2) a force 333 N at the edge of the disk on the –y-axis, ...

### Physics

A body is pivoted at a Point O. Three forces act on it in the directions shown on the figure. FA = 11 N at point A, 8.0 m from O. FB = 15 N at point B, 4.0 m from O. FC = 20 N at point C, 3.0 m from O. What is the net torque about point O? You have to also have the direction ...

### physics

Two ropes are attached to a skater as sketched in the figure below and exert forces on her as shown. Find the magnitude and direction of the total force exerted by the ropes on the skater if θ1 = 32.0° and θ2 = 53.0°. what is the magnitude and direction (horizontal) ?

### physics- torque

1. Find the magnitude of the torque produced by a 3.0 N force applied to a door at a perpendicular distance of 0.25 m from the hinge. 2. A simple pendulum consists of a 3.0 kg point mass hanging at the end of a 2.0 m long light string that is connected to a pivot point. a. ...

### INTRO TO PHYSICS

a) A simple pendulum consists of a small object of mass 3.3 kg hanging at the end of a 2.0-m-long light string that is connected to a pivot point.Calculate the magnitude of the torque (due to the force of gravity) about this pivot point when the string makes a 4.5° angle with...

### physics

A force in the +y direction applied at the point x=2.3m,y=1.4m gives rise to a torque of 39n*m about the origin. Find the magnitude of the force.

### Physics

A force F1 of magnitude 6.90 units acts on an object at the origin in a direction θ = 54.0° above the positive x-axis. (See the figure below.) A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find graphically the ...

### Physics

Two forces act concurrently on a point P. One force is 60nt due east. The second force is 80nt due north. (a) Find the magnitude and direction of their resultant. (b) What is the magnitude and direction of the equilibriant?

### Physics, check my answer pls

4. All of the following are true about torque except: A. its units are Newton-meters. B. it can only be produced by a force. C. torque is zero unless the force is pointed perpendicular to the moment arm. D. a force whose line of action passes through the axis of rotation ...

### physics

Consider a 9·kg disk with a radius of 0.9·m and rotating about an axis passing through its center. (a) What is its rotational inertia? ______ kg·m2 ? (b) Suppose the disk is rotating counterclockwise and speeding up with a rotational acceleration of 4·rad/s2. What is the ...

### Physics HELP!

A simple pendulum consists of a small object of mass 7.40 kg hanging at the end of a 2.10 m long light string that is connected to a pivot point. (a) Calculate the magnitude of the torque (due to the force of gravity) about this pivot point when the string makes a 3.00° angle...

### physics

A simple pendulum consists of a small object of mass 3.20 kg hanging at the end of a 3.70 m long light string that is connected to a pivot point. (a) Calculate the magnitude of the torque (due to the force of gravity) about this pivot point when the string makes a 7.00° angle...

### Physics

1. Consider the two vectors P and Q. The definition of P is P = 􀀃i × (􀀃i × 􀀃j). The definition of Q is Q = (􀀃i × 􀀃i) × 􀀃j . a. The magnitude of P is equal to the magnitude of Q. b. The magnitude of P is greater than the...

### physics

A simple pendulum consists of a small object of mass 1.2 kg hanging at the end of a 2.07 m long light string that is connected to a pivot point. Calculate the magnitude of the torque (due to the force of gravity) about this pivot point when the string makes an angle of 6.59 ...

### physics

A pendulum consists of an object of mass 1.07 kg that hangs at the end of a massless bar, a distance 1.14 m from the pivot point. Calculate the magnitude of the torque due to gravity about the pivot point if the bar makes an angle of 22° with the vertical. torque = ...

### physics

A pendulum consists of an object of mass 1.07 kg that hangs at the end of a massless bar, a distance 1.14 m from the pivot point. Calculate the magnitude of the torque due to gravity about the pivot point if the bar makes an angle of 22° with the vertical. torque = ...

### pysics

Consider a 6·kg disk with a radius of 0.6·m and rotating about an axis passing through its center. (a) What is its rotational inertia? kg·m2 (b) Suppose the disk is rotating counterclockwise and slowing down with a rotational acceleration of 5·rad/s2. What is the net ...

### PHYSICS

A simple pendulum consits of a 3.0 kg point mass hanging at the end of a 2.0 long light string that is connected to a pivot point. a. Calculate the magnitude of the torque (due to the force of gravity) around this pivot point when the string makes a 5 degree angle with the ...

### physics

A one-piece cylinder is shaped as in the Figure, with a core section protruding from the larger drum. The cylinder is free to rotate around the central axis shown in the drawing. A rope wrapped around the drum, of radius 2.70 m, exerts a force F1 to the right on the cylinder. ...

### Physics

As a swimmer pulls his arm through the water, various muscles exert forces on the upper arm. The figure below shows a force F exerted on the humerus (upper arm bone) by the pectoral muscle. The muscle is connected to the bone d = 7.00 cm from the center point O of the shoulder...

### physics

Hi! could anyone help me to solve this problem please. Three point charges are located at the corners of an equilateral triangle as in the figure below. Find the magnitude and direction of the net electric force on the 1.60 µC charge. (A = 1.60 µC, B = 7.20 µC, and C = -3....

### Physics

Consider a torque ⃗τ that is constant in both magnitude and direction, and acts on a rigid body of mass 10 kg at a point 1 m from the pivot. How much work does the torque do on the rigid body, if it turns through an angle of 180◦ while the torque is acting? ...

### physics

Four masses are positioned at the corners of a rectangle, as indicated in the figure below (not to scale). (a) Find the magnitude and direction of the net force acting on the 2.0 kg mass if x = 0.40 m and y = 0.12 m. (b) How do your answers to part (a) change (if at all) if ...

### Physics

A force, F = (3x + 4y) N, is applied to an object at a point whose position vector with respect to the pivot point is r = (3x + 3y + 3z) m. Calculate the torque created by the force about that pivot point. I know that torque = -12x + 9y + 3z, but why is -12x negative? Thank ...

### Physics

An infinite straight wire carrying a current I=5 A flowing to the right is placed above a rectangular loop of wire with width w=11 cm and length L=27 cm, as shown in the figure below. The distance from the infinite wire to the closest side of the rectangle is h=1.7 cm. The ...

### Physics

An infinite straight wire carrying a current I=5 A flowing to the right is placed above a rectangular loop of wire with width w=11 cm and length L=27 cm, as shown in the figure below. The distance from the infinite wire to the closest side of the rectangle is h=1.7 cm. The ...

### Physics

q1= 25 pC q2 = -75 pC A) calculate the magnitude of the electric force between the two charges B) Is the force attractive or repulsive? C) calculate the magnitude and direction of E1 *( there is an arrow above E1) , the electric field at the orgin due to charge q1. D) ...

Four 9.5 kg spheres are located at the corners of a square of side 0.70 m. Calculate the magnitude and direction of the gravitational force on one sphere due to the other three. What is the magnitude? ___ N Figure the vector of the opposite corner, and the adjacent corners ...

### physics

A forse of 75 N due north and 105 N due east is acting on a point. What is the magnitude and direction of the resultant force? What is the magnitde and direction of the equilibrant?

### Physics

Four point charges are at the corners of a square of side a as shown in the figure below. Determine the magnitude and direction of the resultant electric force on q, with ke, q, and a left in symbolic form. (Let B = 2.5q and C = 8q. Let the +x-axis be pointing to the right.) ...

### Physics

A force 1 of magnitude 7.20 units acts on an object at the origin in a direction θ = 29.0° above the positive x-axis. (See the figure below.) A second force 2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find graphically the ...

### Physics - Torque

A particle is acted on by two torques about the origin: T1 has a magnitude of 4.3 N*m and is directed in the positive direction of the x axis, and T2 has a magnitude of 3.2 N*m and is directed in the negative direction of the y axis. What are the magnitude [in N*m] and ...

### Physics

A heavy concrete panel is being lifted into position in a building by means of a crane (see figure below). The tension of 2.52 104 N in the supporting cable produces a torque with respect to point O. (Let L = 41.0 m.) (a) Does this torque tend to rotate the panel clockwise or ...

### Physics

Three lead balls of mass m1 = 16kg, m2 = 26kg, and m3 = 9.3kg are arranged as shown in the figure below. Find the total gravitational force exerted by balls 1 and 2 on ball 3. Be sure to give the magnitude and the direction of this force. magnitude N direction ° ...

### Physics

A 50-story building is being planned. It is to be 200.0 high with a base 48.0 by 66.0 . Its total mass will be about 2.5×107 , and its weight therefore about 2.5×108 . Suppose a 200 wind exerts a force of 860 over the 66.0 wide face . Part A Calculate the magnitude of the ...

### physics

Two point charges, q1 and q2, are placed 0.30 m apart on the x-axis, as shown in the figure above. Charge q1 has a value of –3.0 x 10–9 C. The net electric field at point P is zero Q: Calculate the magnitude of charge q2. Q: Calculate the magnitude of the electric force on...

### physics

A force Farrowbold1 of magnitude 5.00 units acts on an object at the origin in a direction θ = 34.0° above the positive x-axis. (See the figure below.) A second force Farrowbold2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find ...

### physics

Find the magnitude and direction of the net electrostatic force exerted on the point charge q3 in the figure below, where q = +2.5 μC and d = 28 cm. The picture is of a square. q1=+q, q2=-2q, q3=-3q, q4=-4

### physics

Find the magnitude and direction of the net electrostatic force exerted on the point charge q3 in the figure below, where q = +2.5 μC and d = 28 cm. The picture is of a square. q1=+q, q2=-2q, q3=-3q, q4=-4

### physics

A pendulum consists of an object of mass 1.07 kg that hangs at the end of a massless bar, a distance 1.14 m from the pivot point. Calculate the magnitude of the torque due to gravity about the pivot point if the bar makes an angle of 22° with the vertical.

### Mcmaster

A pendulum consists of an object of mass 2.26 kg that hangs at the end of a massless bar, a distance 2.02 m from the pivot point. Calculate the magnitude of the torque due to gravity about the pivot point if the bar makes an angle of 54° with the vertical.

### Physics

A force F 1 of magnitude 5.90 units acts on an object at the origin in a direction θ = 28.0° above the positive x-axis. (See the figure below.) A second force F 2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find graphically the ...

### Physics

A simple pendulum consists of a 3 kg point of mass hanging at the end of a 2 m long light string that is connected to a pivot point. a. Calculate the magnitude of the torque (due to gravitational force) around this pivot point when the string makes a 5 degree angle with the ...

### Physics

You are installing a new spark plug in your car, and the manual specifies that it be tightened to a torque that has a magnitude of 45.8 N*m. Using the data in the figure below (L = 0.287 m and θ = 49.6°), determine the magnitude F of the force that you must exert on the ...

### Physics. I'd appreciate your help.

A 33-N force acing due north and a 44-N force acting at 30 degrees act concurrently on point P. What is the magnitude and direction of a third force that produces equilibrium at point P?

### physics

A 3.5 kg block, initially in motion, is pushed along a horizontal floor by a force F of magnitude 17 N at an angle θ = 35° with the horizontal (Figure 6-20). The coefficient of kinetic friction between the block and floor is 0.25. (Assume the positive direction is to the...

A 3.5 kg block, initially in motion, is pushed along a horizontal floor by a force F of magnitude 17 N at an angle θ = 35° with the horizontal (Figure 6-20). The coefficient of kinetic friction between the block and floor is 0.25. (Assume the positive direction is to the...

### Physics

Four point charges are at the corners of a square of side a as shown in the figure below. Determine the magnitude and direction of the resultant electric force on q, with ke, q, and a left in symbolic form. (B = 4q and C = 6.5q. Let the +x-axis be pointing to the right.) F = ...

### physics

The figure below shows two current carrying wires and the directions of the currents they carry. The wires carry the following currents: I1 = 12.5 A and I2 = 9.8 A. Wire 1 is at (0, 4.0) mm; wire 2 is at (13.3, 0) mm; point P is at (13.3, 4.0) mm. webassign. net/userimages/...

### Physics

Three point charges are located at the corners of an equilateral triangle as in the figure below. Find the magnitude and direction of the net electric force on the 0.70 µC charge. (A = 0.70 µC, B = 6.50 µC, and C = -3.90 µC.)

### Physics

A duck has a mass of 2.3 kg. As the duck paddles, a force of 0.08 N acts on it in a direction due east. In addition, the current of the water exerts a force of 0.21 N in a direction of 55° south of east. When these forces begin to act, the velocity of the duck is 0.10 m/s in ...

### physics

Find the net torque on the wheel in the figure below about the axle through O perpendicular to the page, taking a = 11.0 cm and b = 23.0 cm. (Indicate the direction with the sign of your answer. Assume that the positive direction is counterclockwise.)

### physics

Find the net torque on the wheel in the figure below about the axle through O perpendicular to the page, taking a = 5.00 cm and b = 23.0 cm. (Indicate the direction with the sign of your answer. Assume that the positive direction is counterclockwise.) f1= 10 f2= 9 f3=12

### physics

A proton, traveling with a velocity of 4.9 106 m/s due east, experiences a magnetic force that has a maximum magnitude of 7.4 10-14 N and a direction of due south. What are the magnitude and direction of the magnetic field causing the force?

### physics

Before starting this problem, review Conceptual Example 7. The force vector A has a magnitude of 79.0 newtons (N) and points due east. The force vector B has a magnitude of 107 N and points 75.0 ° north of east. Find the (a) magnitude and (b) direction of A - B. (Give the ...

### physics

Before starting this problem, review Conceptual Example 7. The force vector A has a magnitude of 70.0 newtons (N) and points due east. The force vector B has a magnitude of 111 N and points 71.4 ° north of east. Find the (a) magnitude and (b) direction of A - B. (Give the ...

### physics

Before starting this problem, review Conceptual Example 7. The force vector A has a magnitude of 97.0 newtons (N) and points due east. The force vector B has a magnitude of 107 N and points 71.4 ° north of east. Find the (a) magnitude and (b) direction of A - B. (Give the ...

### physics

A 301-kg boat is sailing 16.5° north of east at a speed of 2.08 m/s. Thirty seconds later, it is sailing 37.2° north of east at a speed of 3.60 m/s. During this time, three forces act on the boat: a 32.7-N force directed 16.5° north of east (due to an auxiliary engine), a ...

### Physics

A 301-kg boat is sailing 16.5° north of east at a speed of 2.08 m/s. Thirty seconds later, it is sailing 37.2° north of east at a speed of 3.60 m/s. During this time, three forces act on the boat: a 32.7-N force directed 16.5° north of east (due to an auxiliary engine), a ...

### science physics

1.) What is the Magnitude of the electrostatic force on a +5 C charge 1.75 m to the left of a -2.5 C charge? (show your work) 2.) In What direction does the force on the +5 C charge act? 3.)Calculate the magnitude of the electric field of the -2.5 C charge at the location of ...

### physics

consider the arrangement of four +20 microCouloumb point charges located at all 4 corners of a square with 30cm sides. calculate the magnitude and direction for the force on each charge due to the other 3 point charges.

### Physics

Given the vector from the pivot point to the force and the magnitude of the force. 1.How would one find the angle of the force? 2.How would one find the torque? 3.How would one calculate the maximum/minimum torque?

### Calc 3

A wrench .9m long lies along the positive y-axis, and grips a bolt at the origin. A force is applied in the direction of (0,1,3) at the end of the wrench. Find the magnitude of the force in newtons needed to supply 100 J of torque to the bolt. This is the formula i have: T=|r ...

### p

A newly planted tree is supported against the wind by a rope tied to a stake in the ground, as shown in the figure below. The force of the wind, though distributed over the tree, is equivalent to a single force F, as shown in the figure. Find the tension in the rope. Assume ...

### Physics

The drawing shows two identical systems of objects; each consists of the same three small balls connected by massless rods. In both systems the axis is perpendicular to the page, but it is located at a different place, as shown. The same force of magnitude F is applied to the ...

### Physics

A square metal plate with length L= 0.14 m on each side is pivoted about an axis through the center point O, perpendicular to the plate. Calculate the net torque about this axis due to the three forces shown that act at the corners, with magnitudes F1 =18 N, F2 = 28 N, and F3...

### physics

A particle has a charge of +1.5 µC and moves from point A to point B, a distance of 0.19 m. The particle experiences a constant electric force, and its motion is along the line of action of the force. The difference between the particle's electric potential energy at A and B ...

### physics

A particle has a charge of +1.5 µC and moves from point A to point B, a distance of 0.19 m. The particle experiences a constant electric force, and its motion is along the line of action of the force. The difference between the particle's electric potential energy at A and B ...

### PHYSICS

The cutting tool on a lathe is given two displacements, one of magnitude 4 cm and one of magnitude 3 cm, in each one of five situations (a) through (e) diagrammed in the figure below. Rank these situations according to the magnitude of the total displacement of the tool, ...

Two forces are pushing an ice shanty along the Ice. One has a magnitude of 330 lb in a direction due east. The other force has a magnitude of 110 lb in a direction 54 degrees east of north. What are the magnitude and direction of the resulant force?

### Physics

Consider a torque ⃗τ that is constant in both magnitude and direction, and acts on a rigid body of mass 10 kg at a point 1 m from the pivot. How much work does the torque do on the rigid body, if it turns through an angle of 180◦ while the torque is acting? ...

### Physics

TORQUE, ROTATION AND TRANSLATION A Yo-Yo of mass m has an axle of radius b and a spool of radius R . Its moment of inertia about the center can be taken to be I=(1/2)mR2 and the thickness of the string can be neglected. The Yo-Yo is released from rest. You will need to assume ...

### physics

A force, F = (2x + 5y) N, is applied to an object at a point whose position vector with respect to the pivot point is r = (2x + 4y + 5z) m. Calculate the torque created by the force about that pivot point.

### College Physics

A force, F = (2x + 3y) N, is applied to an object at a point whose position vector with respect to the pivot point is r = (5x + 4y + 2z) m. Calculate the torque (in units on Nm) created by the force about that pivot point.

### physics

Two forces are applied to a tree stump to pull it out of the ground. Force A has a magnitude of 2880 newtons (N) and points 42.0 ° south of east, while force B has a magnitude of 4360 N and points due south. Using the component method, find the (a) magnitude and (b) direction...

### Physics

A ball (mass = 250 g) on the end of an ideal string is moving in circular motion as a conical pendulum. The length L of the string is 1.92 m and the angle with the vertical is 37 degrees. A) What is the magnitude of the torque (N m) and direction (from the listed answers) of ...

### physics

A duck has a mass of 2.9 kg. As the duck paddles, a force of 0.07 N acts on it in a direction due east. In addition, the current of the water exerts a force of 0.21 N in a direction of 60° south of east. When these forces begin to act, the velocity of the duck is 0.12 m/s in ...

### Physics

Four point charges are at the corners of a square of side a as shown in the figure below. Determine the magnitude and direction of the resultant electric force on q, with ke, q, and a left in symbolic form. (B = 4q and C = 6.5q. Let the +x-axis be pointing to the right.) b|---...

### PHY 131

three forces act on a moving force object. one cforce has a magnitude of 80.O N and is directed due north. another has a magnitude of 60.0N and is due west. What must the magnitude and direction of the 3rd force, such that the object continues to move at a constant velocity.

### physics

Three charged particles are placed at the corners of an equilateral triangle of side 1.20 m (see figure). The charges are Q1 = +3.8 µC, Q2 = -9.0 µC, and Q3 = -6.1 µC. Calculate the magnitude and direction of the net force on each due to the other two. (Assume the +x axis ...

### physics help

A pendulum of mass m= 0.8 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the length l of the pendulum is measured from the ...

### physics help

A pendulum of mass m= 0.8 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the length l of the pendulum is measured from the ...

### PHYSICS(HELP)

A pendulum of mass m= 0.8 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the length l of the pendulum is measured from the ...

### physics

A man opens a 1.14-m wide door by pushing on it with a force of 49.5 N directed perpendicular to its surface. (a) What magnitude torque does he apply about an axis through the hinges if the force is applied at the center of the door? N · m (b) What magnitude torque does he ...

### Physics 1

A man opens a 1.14-m wide door by pushing on it with a force of 49.5 N directed perpendicular to its surface. (a) What magnitude torque does he apply about an axis through the hinges if the force is applied at the center of the door? N · m (b) What magnitude torque does he ...

### ap physics

A man opens a 1.14-m wide door by pushing on it with a force of 49.5 N directed perpendicular to its surface. (a) What magnitude torque does he apply about an axis through the hinges if the force is applied at the center of the door? N · m (b) What magnitude torque does he ...

### Physics

The helicopter view in the figure below shows two people pulling on a stubborn mule. Assume that F1 is 130 N, and F2 is 65 N. The forces are measured in units of newtons (N). (a) Find the single force that is equivalent to the two forces shown. In both magnitude and direction...

### Physics

A 10.0-kg object experiences a drag force due to air resistance. The magnitude of this drag force depends on its speed, and obeys the equation Fdrag =(12.0 N-s/m)v + (4.00 N-s2/m2)v2. (a) What is the terminal speed of this object if it is falling due to gravity? (b) At what ...

### Physics Classical Mechanics Help ASAP

A pendulum of mass m= 0.8 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the length l of the pendulum is measured from the ...

### Physics

A particle with a mass of 1.55 kg is acted on by a force Fx acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following.

### Physics - Torque

A particle is acted on by two torques about the origin: T1 has a magnitude of 4.3 N*m and is directed in the positive direction of the x axis, and T2 has a magnitude of 3.2 N*m and is directed in the negative direction of the y axis. What are the magnitude [in N*m] and ...

### physics

Two forces act on a 10-kg mass. The first force has a magnitude of 15 N and pushes the mass due North. The second force has a magnitude of 25 N and pushes the force due West. What is the magnitude and direction of the acceleration of the mass?

### physics

When we studied the concept of work, we learned that work = force x distance. Now we learn that torque = force x distance. What's different about these two definitions?A) For work, distance and force are in the same direction; for torque they are perpendicular to each other.B...

### statics

A1 Helicopter in flight with unbalanced stores A helicopter in forward flight is shown in Figure 1. The helicopter in forward flight experiences a horizontal drag force DF  . The drag force DF  is assumed to pass through O. The helicopter is held up in the air ...

### principles of physics

When we studied the concept of work, we learned that work = force x distance. Now we learn that torque = force x distance. What's different about these two definitions?A) For work, distance and force are in the same direction; for torque they are perpendicular to each other.B...

### Classical mechanics

A pendulum of mass m= 0.9 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the length l of the pendulum is measured from the ...

### physics

A duck has a mass of 2.3 kg. As the duck paddles, a force of 0.07 N acts on it in a direction due east. In addition, the current of the water exerts a force of 0.26 N in a direction of 48° south of east. When these forces begin to act, the velocity of the duck is 0.15 m/s in ...

### Physics

A duck has a mass of 2.8 kg. As the duck paddles, a force of 0.09 N acts on it in a direction due east. In addition, the current of the water exerts a force of 0.20 N in a direction of 47° south of east. When these forces begin to act, the velocity of the duck is 0.12 m/s in ...