Resolving Forces

An aeroplane is flying horizontally and heading north through the air. Its speed through the air is a and the wind is blowing east with a speed b.

The speed over the ground is given by

With reference to that same aeroplane, the angle from North at which the plane flies over the ground is given by

The diagram shows the forces acting on a picture, of weight W, suspended by a cord.

The tension in the cord is T. Which of the following expressions shows the correct relationship between W and T?

Tags

NGSS.HS-PS2-1

NGSS.HS-PS2-4

With this one, try drawing the diagram yourself to help you if you need it:

A football is kicked at 12 m s^-1 at an angle of 35° to the horizontal. The horizontal component of its velocity, in m s^-1, is given by

Remember, do a diagram if you think it will help:

A body is acted on by a vertical force of 18 N and a horizontal force of 32 N.

The angle to the horizontal of the resultant force is given by

Tags

NGSS.HS-PS2-1

The diagram above is a free-body force diagram for a hot air balloon when a wind is blowing. The size of the resultant force acting on the balloon is

• 400 N

• 500 N

• 700 N

• 9, 805 N

Tags

NGSS.HS-PS2-1

A Force F is resolved into two components, F_h and F_v at right angles to each other as in the diagram above. Which statement below is NOT true?

• Decreasing the angle θ will increase the size of F_h

• Increasing the angle θ will increase the size of Fv

• F_h and F_v have sizes that when added together give a total equal to the size of F.

• F_h and F_v have sizes that when added together give a total greater than the size of F.

Tags

NGSS.HS-PS2-1

Two forces on an object are in the same direction. How do we calculate the resultant force?

• Take away one from the other

• Multiply them

• Divide one by the other

• Add them together

Tags

NGSS.HS-PS2-1

Two forces on an object are in opposite directions. How do we calculate the resultant force?

• Divide one by the other

• Multiply them

• Take one away from the other

• Add them together

Tags

NGSS.HS-PS2-1