A: Three forces act on a moving object. One force has a magnitude of 86.0 N...

A: Three forces act on a moving object. One force has a magnitude of 86.0 N and is directed due north. Another has a magnitude of 64.5 N and is directed due west. What must be the magnitude and direction of the third force, such that the object continues to move with a constant velocity?

B: A worker stands still on a roof sloped at an angle of 39.1° above the horizontal. He is prevented from slipping by a static frictional force of 372 N. Find the mass of the worker.

Expert Solution

genius_generous answered 3 hours ago

Four forces are acting on an object in static equilibrium: Force 1 has a magnitude of...

Four forces are acting on an object in static equilibrium: Force 1 has a magnitude of 46.0 N and is acting at an angle of (45 + A) degrees above the positive x-axis. Force 2 has a magnitude of (15+B) N and is acting along the positive x-axis. Force 3 has a magnitude of 34.5 N and is acting along the negative y-axis. Find the magnitude of the last force, F4. Give your answer in newtons (N) and with 3...

Three forces act at point O. Force F1 has magnitude F1 = 17.4 kips. The direction...

Three forces act at point O. Force F1 has magnitude F1 = 17.4 kips. The direction angles for F1 are (α1, β1, γ1) = (76.6°, 108°, 22.6°). Force F2 = (−27.0i + 10.0j + 27.0k) kips. Force F3 = (4.00i + 6.00j − 34.0k) kips. (a)Determine the resultant force FR, = F1 + F2 + F3 in kips [reported in Cartesian vector form]. FR = _____ kips (b) Determine the magnitude of the resultant force in kips. ________kips (c) Determine...

Only two horizontal forces act on a 7.7 kg body. One force is 7.0 N, acting...

Only two horizontal forces act on a 7.7 kg body. One force is 7.0 N, acting due east, and the other is 4.3 N, acting 40° north of west. What is the magnitude of the body's acceleration? Three astronauts, propelled by jet backpacks, push and guide a 133 kg asteroid toward a processing dock, exerting the forces shown in the figure, with F1 = 27 N, F2 = 54 N, F3 = 38 N, θ1 = 30°, and θ3 =...

Three forces are applied to an object, as indicated in the drawing. Force F with arrow1...

Three forces are applied to an object, as indicated in the drawing. Force F with arrow1 has a magnitude of 22.0 newtons (22.0 N) and is directed 30.0° to the left of the +y axis. Force F with arrow2 has a magnitude of 16.3 N and points along the +x axis. What must be the magnitude and direction (specified by the angle θ in the drawing) of the third force F with arrow3 such that the vector sum of the...

Two forces of 55N and 85N act on an object simultaneously and the resultant force is 125N. What is the measurement of the angle between the two forces?

What must be the magnitude and direction (specified by the angle e in the drawing) of the third force Fs such that the vector sum of the three forces is 0 N?

Three forces are applied to an object, as indicated in the drawing. Force F1 has a magnitude of 32.0 newtons (32.0 N) and is directed 30.0° to the left of the +y axis. Force F2 has a magnitude of 21.5 N and points along the +x axis. What must be the magnitude and direction (specified by the angle e in the drawing) of the third force Fs such that the vector sum of the three forces is 0 N?

1- Three forces act on a point: 3 N at 0°, 4 N at 90°, and...

1- Three forces act on a point: 3 N at 0°, 4 N at 90°, and 5 N at 217°. a. What is the net force? b. What fourth force will put the point in equilibrium? 2- A 100 kg wooden crate rests on a wooden ramp with an adjustable angle of inclination. a. Draw a free body diagram of the crate. b. If the angle of the ramp is set to 10°, determine... i. the component of the crate's...

You are given a vector in the xy plane that has a magnitude of 86.0 units...

You are given a vector in the xy plane that has a magnitude of 86.0 units and a y component of -55.0 units. a.)What are the two possibilities for its x component? b.)Assuming the x component is known to be positive, specify the magnitude of the vector which, if you add it to the original one, would give a resultant vector that is 80.0 units long and points entirely in the ?x direction. c.)Specify the direction of the vector.

Two forces, F⃗ 1 and F⃗ 2, act at a point. F⃗ 1 has a magnitude...

Two forces, F⃗ 1 and F⃗ 2, act at a point. F⃗ 1 has a magnitude of 8.20 N and is directed at an angle of 64.0 ∘ above the negative x axis in the second quadrant. F⃗ 2has a magnitude of 5.20 N and is directed at an angle of 53.8 ∘ below the negative x axis in the third quadrant. Part A What is the x component of the resultant force? Part B What is the y component...

A horizontal force with a magnitude of 30 N pushes a block which has a mass...

A horizontal force with a magnitude of 30 N pushes a block which has a mass of 4.19 kg on the floor which has a coefficient of kinetic friction of 0.51. How many Joules of work does the force do to the floor-beam system as the block travels 3.86 m along the floor? During movement on the floor, the heat energy in the block increases by 39.5 J. What is the Joule of increase in heat energy in the floor?...

Question