A 40.0 kg child swings in a swing supported by two

Metal chains, each 3.00 m long. The tension in each chain at the lowest point

is 350 N. Find:

(i) the child’s speed at the lowest point 

(ii) the force

exerted by the seat on the child at the lowest point. (Ignore the mass of the

seat)

Three

objects are connected on a table as shown in Figure below. The coefficient of

kinetic friction between the block of mass

(i)

Draw a free-body force diagram of each object.

(ii)

Determine the acceleration of each object, including its direction.

(iii)

Determine the tensions in the two cords.

A car is traveling at 50.0 mile/h on a horizontal

highway. 

(i) If the coefficient of static friction between road and tires on a

rainy day is 0.100, what is the minimum distance in which the car will stop? 

(ii) What is the stopping distance when the surface is dry and the coefficient

of static friction is 0.600? [Given: 1mile=1.609km]

A woman at an airport is towing her 20.0kg suitcase at

constant speed by pulling on a strap at an angle θ above the horizontal. She

pulls on the strap with a 35.0N force, and the friction force on the suitcase

is 20.0N. 

(i) Draw a free- body diagram of the suitcase. 

(ii) What angle does

the strap make with the horizontal? 

(iii)What is the magnitude of the normal force

that the ground exerts on the suitcase?

The systems shown below are in equilibrium. If the

spring scales are calibrated in newtons, what do they read? Ignore the masses

of the pulleys and strings and assume the pulleys and the incline in the Figure

are frictionless.