Vector Components. Resultant. and Equilibrant forces.

To lift a heavy block off the floor, a student pulls with force F on a rope that passes over a pulley, as shown in the diagram.

Which pair of vectors represents the perpendicular components of the force the student exerts on the rope?

1. 
   

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• 

Tags

NGSS.MS-PS2-1

NGSS.MS-PS2-2

As shown in the diagram, a rope attached to a 500.-kilogram crate is used to exert a force of 45 newtons at an angle of 65° above the horizontal.

The horizontal component of the force acting on the crate is

• 1. 19N

• 1. 41N

• 210N

• 1. 450N

A sailboat on a lake sails 40. meters north and then sails 40. meters due east.

Compared to its starting position, the new position of the sailboat is

• 0. m due east

• 40. m due north

• 1. 57. m northeast

• 80. m northeast

A displacement vector with a magnitude of 20. meters could have perpendicular components with magnitudes of

• 10. m and 10. m

• 12 m and 8.0 m

• 1. 12 m and 16 m

• 16 m and 8.0 m

Two 20.-newton forces act concurrently on an object. What angle between these forces will produce a resultant force with the greatest magnitude?

• 180°

• 90°

• 45°

• 0°

Tags

NGSS.HS-PS2-1

A model airplane heads due east at 1.50 m/s, while he wind blows due north at 0.70 m/s.

Determine the magnitude of the resultant velocity.

• 1.5 m/s

• 2.25 m/s

• 0.49 m/s

• 1.7 m/s

Tags

NGSS.MS-PS2-2

A model airplane heads due east at 1.50 m/s, while the wind blows due north at 0.70 m/s.

Which diagram below best represents the resultant velocity of the airplane?

• 
• 
• 
• 

Tags

NGSS.MS-PS2-1

NGSS.MS-PS2-2

A model airplane heads due east at 1.50 m/s, while the cross- wind blows due north at 0.70 m/s as represented on the scaled vector diagram here.

These velocity vectors are drawn to the best scale of

1 cm = ........m/s. (Type your answer in this format.)

Evaluate responses using AI:

OFF

Tags

NGSS.MS-PS2-2

NGSS.MS-PS3-1

An airplane flies with a velocity of 750. kilometers per hour, 30.0° south of east.

What is the magnitude of the eastward component of the plane’s velocity?

• 1. 866 km/h

• 650. km/h

• 1. 433 km/h

• 1. 375 km/h

This vector diagram represents the horizontal component, F_H, and the vertical component, F_V, of a 24-newton force acting at 35° above the horizontal.

What are the magnitudes of the horizontal and vertical components?

• F_H = 3.5 N and F_V = 4.9 N

• F_H = 3.5 N and F_V = 4.9 N

• F_H = 14 N and F_V = 20. N

• F_H = 20. N and F_V = 14 N

Tags

NGSS.MS-PS2-2