A vector, V, has a magnitude of 350 N and a direction of 55°. Determine the...

A vector, V, has a magnitude of 350 N and a direction of 55°. Determine the following:
1. V_x = ______
2. V_y = ______

If V_x = 12 m and V_y = 17 m then determine the following:
1. What is the magnitude, V, of this vector?
2. What is the direction, θ, of this vector?

A hiker walks 2.5 km at an angle of 45 degrees north of west, and then hikes 4.0 km at an angle of 30 degrees north of east. What is the displacement of the hiker from the origin (magnitude and direction)? Determine the magnitude and direction by adding the vectors graphically and mathematically. Be sure to attach your graph.

Magnitude (from graph): _______ Magnitude (mathematical) : ______

Direction (from graph): _______ Direction (mathematical) : ______

A projectile is launched with a velocity of 130 m/s at an angle of 41 degrees (relative to the ground). Determine the following:
1. v_x = _____

v_y = _____

What is the maximum height of the projectile?

What is the range of the projectile?

Where is the projectile 4.0 s after it is launched?

If there was a 50 m high wall that is 1400 m away, would the projectile be able to clear this wall? Show why or why not.

If a river has a westward current of 1.30 m/s and you head due north across the river on a boat that has a speed of 1.5 m/s in still water, then what is speed of the boat relative to the shore? At what angle does it cross the river?

Expert Solution

genius_generous answered 2 years ago

The vector A has a magnitude of 16.5 and a direction of 146 degrees. The vector...

The vector A has a magnitude of 16.5 and a direction of 146 degrees. The vector B has a magnitude of 17 and a direction of 69.5 degrees. The vector C has a magnitude of 16.5 and a direction of 32 degrees. All angles are measured counterclockwise from the positive x axis. The vector D follows the following relation: D = A + B − C What are the magnitude and direction of the vector D?

vector a has a magnitude of 16m and a direction of 65 above the negative x...

vector a has a magnitude of 16m and a direction of 65 above the negative x axis. vecot b has a madnitude of 9.0m and is directed along the negative x axis. find the magnitude and direction of A+B

1. Magnitude & Direction of Vector Write a function m-file to find the magnitude and the...

1. Magnitude & Direction of Vector Write a function m-file to find the magnitude and the direction of cosine of vector F which expresses 3 dimension - x, y, and z. Here are requirements for the function m-file. - Parameter-list (input(s)): · 3 dimensional vector · row vector or column vector - undetermined - Return Value (outputs): · Magnitude of a given vector, |F| = √ F2 x + F2 y + F2 z · Angles(degree) from direction of cosine...

If F= 80 N, determine the magnitude and coordinate direction angles of the ouple moment. The...

If F= 80 N, determine the magnitude and coordinate direction angles of the ouple moment. The pipe assemblylies in the x-y plane.

Find the resultant (magnitude and direction) of these forces: 300 N at 00 and 400 N...

Find the resultant (magnitude and direction) of these forces: 300 N at 00 and 400 N at 1500. After falling from a cliff that is 100 m high, a 30 kg rock hits the ground below. Neglecting air resistance, how fast was it moving just as it hit? How much heat will it take to completely melt 2 kg of lead that is at 2270 C? What is the mutual attractive gravitational force between two people, each with a mass...

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?

Magnitude and direction.

A long straight wire in the horizontal plane carries a current of 50A in north to south direction. Find the magnitude and direction of B at a point 2.5m east of the wire.

Determine the magnitude and direction of the principal voltages for the voltage state given by ???...

Determine the magnitude and direction of the principal voltages for the voltage state given by ??? = 200, ??? = 400, ??? = −100 and ??? = ??? = ??? = 0 (all in MPa). Sketch Mohr's voltage circles in the ?? - plane and draw in the xy - plane the direction of its main voltages, coupled to the correct main voltage. What is the greatest shear stress for this stress state? Please explain the answer clearly and in...

Determine the magnitude of the resultant force. Determine the coordinate direction angle α of the resultant force.

Determine the magnitude of the resultant force. Determine the coordinate direction angle α of the resultant force. Determine the coordinate direction angle β of the resultant force.Determine the coordinate direction angle γ of the resultant force.

A uniform electric field of magnitude 240 V/m is directed in the positive x direction. A...

A uniform electric field of magnitude 240 V/m is directed in the positive x direction. A +13.0 µC charge moves from the origin to the point (x, y) = (20.0 cm, 50.0 cm). (a) What is the change in the potential energy of the charge field system? J (b) Through what potential difference does the charge move?

Question