Scalars & Vectors (OCR A Level Physics)

An object is falling.

The weight of the object is 4.5 N.

The wind provides a horizontal force of magnitude F on the object.

The resultant force on the object is 5.8 N.

Air resistance and upthrust on the object are negligible.

What is the value of F?

An object of weight W is suspended from two identical cables.

The tension in each cable is 2.0 N. Each cable makes an angle of 35° to the vertical.

What is the weight W of the object?

A block of weight 8.5 N sits on a slope angled at 15^o to the horizontal as shown.

Which row of the table gives the correct components of weight parallel and perpendicular to the slope?

A kayaker wishes to travel due east across a river. They can paddle at a speed of 1.3 ms^-1 in still water. There is a current of 0.95 ms^-1 flowing due south in the river.

In which direction should the kayaker paddle in order to travel due east?

A particle is acted upon by two coplanar forces of magnitude 1.0 N and X N. The directions of the forces are not known. The resultant force on the particle is 3.0 N.

What can be determined about the value of X?

The diagram below represents the x and y components of four forces acting on an object at point A. The forces are F_Fr (frictional force), F_g (force due to gravity), and the force due to two ropes pulling on the object, F₁ and F₂.

What is the magnitude and direction of the resultant force on the object?

A bead of mass 150 g is threaded onto a horizontal wire.

The bead is initially at rest and exerted upon by a force of 15 N at an angle of 45° anticlockwise above the horizontal wire for 3 seconds. The bead experiences a constant frictional force of 10 N as it moves along the wire.

What distances does the bead travel along the wire in the 3 seconds to 2 significant figures?

A box of mass m sits at a distance L on a ramp inclined at an angle θ to the horizontal. A normal force and a frictional force proportional to the normal force with a constant of proportionality, μ, act on the box.

Which of the following expressions represents the time it takes the box to slide halfway down the ramp?

The diagram shows a ball of mass m hung by two ropes of equal length pinned at one end to a wall and pulled on by a string which exerts a constant force P on the ball in the horizontal direction. The ball is pulled down by its weight until it is in equilibrium. The angles made by each rope to the vertical θ are both equal to each other.

What is the expression for the ratio of the tension in the left rope T₁ to the tension in the right rope T₂?