Physics Home work(due in 1 hr)

profilefaisal.kanwan
physhw5.docx

HOMEWORK

1) A 980 kg car is pulling a 315 kg trailer. Together the car and trailer move forward with an acceleration of 2.25 m/s2. Ignore any frictional force of air drag on the car and all frictional forces on the trailer.

(a) Determine the net force on the car.

magnitude = N

direction=

(b) Determine the net force on the trailer.

Magnitude= N

Direction=

(c) Determine the force exerted by the trailer on the car.

Magnitude= N

Direction=

(d) Determine the resultant force exerted by the car on the road. (Assume that the forward direction is along the +x-direction.)

magnitude= N

direction= ° (measured from the left of the −y-direction)

2)

A bag of cement weighing 250 N hangs in equilibrium from three wires as suggested in the figure below. Two of the wires make angles θ1 = 64.0° and θ2 = 45.0° with the horizontal. Assuming the system is in equilibrium, find the tensions T1, T2, and T3 in the wires.

T1=

N

T2=

N

T3=

N

3) Two objects are connected by a light string that passes over a frictionless pulley as shown in the figure below. Assume the incline is frictionless and take m1 = 2.00 kg, m2 = 6.90 kg, and θ = 56.5°.

(a) Draw free-body diagrams of both objects.

(b) Find the magnitude of the accelerations of the objects.= m/s2

(c) Find the tension in the string.= N

(d) Find the speed of each object 1.25 s after being released from rest. = m/s

4) Two blocks, each of mass m = 3.00 kg are hung from the ceiling of an elevator as in the figure below.

(a) If the elevator moves with an upward acceleration of magnitude 1.5 m/s2, find the tensions T1 and T2 in the upper and lower strings.

T1 = N

T2 = N

(b) If the strings can withstand a maximum tension of 71.9 N, what maximum acceleration can the elevator have before a string breaks?= m/s2

5) A 8.80-kg hanging object is connected by a light, inextensible cord over a light, frictionless pulley to a 5.00-kg block that is sliding on a flat table. Taking the coefficient of kinetic friction as 0.220, find the tension in the string.

= N

6) A coin placed 30.4 cm from the center of a rotating, horizontal turntable slips when its speed is 49.0 cm/s.

(a) What force causes the centripetal acceleration when the coin is stationary relative to the turntable?(choose)

· static friction

· inertia

· kinetic friction

· centrifugal force

(b) What is the coefficient of static friction between coin and turntable?

7) A 39.0-kg child swings in a swing supported by two chains, each 3.10 m long. The tension in each chain at the lowest point is 352 N.

(a) Find the child's speed at the lowest point.

= m/s

(b) Find the force exerted by the seat on the child at the lowest point. (Ignore the mass of the seat.)

= N (upward)