Physics 204: Physics for Scientists and Engineers I 1 PLEASE ANSWER ALL. THANKS! The ten questions below cover Units 5-7 and each carries equal...

Physics 204: Physics for Scientists and Engineers I 1 

PLEASE ANSWER ALL. THANKS!!!!!

The ten questions below cover Units 5-7 and each carries equal weight. You are expected to solve all questions in detail and submit by uploading to the appropriate drop box. Scanned copy of your handwritten solutions should be acceptable. 

1. The system below is released from rest and moves 90 cm in 1.5 s, without friction. What is the mass m of the hanging object? 

2. When the two boxes shown below are released from rest the system accelerates with 2.80 m/s2. Calculate the coefficient of kinetic friction, assuming that it is the same for both boxes. 

3. You tie a rope to a pail of water and you swing the pail in a vertical circle of radius 80.0 cm. What minimum speed must you give the pail at the highest point of the circle if no water is to spill from it? 

4. Consider the two blocks in the diagram below, where block A is two times heavier than block B. Also, the coefficient of kinetic friction (μk) between the two blocks is the same as between block B and the inclined surface. Knowing that block B slides down the incline at a constant speed, calculate μk.

5. An airplane travels at 500 km/h as it makes a horizontal circular turn of radius 1.6 km. What is the magnitude of the net force on the 78-kg pilot? 

6. A bead can slide along a frictionless metal O-ring of radius 20.0 cm, as shown in the diagram. The ring is in a vertical plane and rotates about a vertical axis through its centre at a constant angular speed ??=3.00 rev/s. What is the angle θ at which the bead is in vertical equilibrium? 

7. A race car starts from rest on a circular track of radius 400 m. Its speed increases at the constant rate of 0.440 m/s2. At the point where the radial and tangential accelerations are equal, determine: 

a. the speed of the race car 

b. the distance traveled 

c. the elapsed time 

8. A force ??=5.00−?? ??+??^2 acts on a particle as it moves along the x axis, with F in newtons, x in metres and c a constant. At ??=2.00 s, the particle's kinetic energy is 15.0 J and at ??=3.00 s it is 18.0 J. What is the value of c? 

9. Consider the system shown below. The 5.00 kg block is given an initial downward speed of 1.00 m/s (pulling the other block to the right). The blocks come to rest after moving 1.50 m. Use the work-kinetic energy theorem to calculate the coefficient of kinetic friction between the 7.00 kg block and the table's surface. 

10. A cart is confined to slide along a horizontal frictionless surface. A cord is attached to the cart and is pulled over a pulley of negligible mass and friction, as shown. If a 30.0 N tension is maintained in the cord, calculate the change in the kinetic energy as the cart slides between points P1 and P2 on the horizontal surface.

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