Q1- (30 points)
During a physics lab, the student ask to add water to a bucket connect by a negligible mass rope to an 80.0 kg car which is positioned on a track which is inclined 15.00above the horizontal. The idea is illustrated in figure. Consider we are using a frictionless pulley. If the coefficient, between the car and the track is 0.200:
150
150
a- Draw the free body diagram and write the Newton’s second law equation for each body, car and bucket. (5 points) b- What mass of water would be needed to start the car moving up? (10 points) c- With friction present, suppose water is added until the car is just about move (calculated in part b). Now an additional 4.00 kg of water is added to the bucket with …show more content…
(7 points) b- What kind of collision took place in between the block and the stone? Explain. (7 points) c- Find the maximum distance that the block will compress the spring after the collision. (7 points) d- Calculate the impulse of the block from the moment just after the collision to the moment when it the maximum compression of the spring occurs.(6 points) e- Identify and classify all forces acting on the block the moment when it the maximum compression of the spring occurs. Explain. (3 points) Extra Credit: f- A net force of 6 N acts on an object initially at rest for 0.25s and gives a final speed of 5 m/s. How could a net force of 2 N produce the same final speed?. Explain. (3 points)
Q3- (30 points)
A uniform 5.0 kg marble ball rolls without slipping down the path from point A to point B show in the figure, starting from rest. The marble balls travel a horizontal distance of 5.0 m after it left the path (from A to B), and before it hit the floor (following a projectile like motion).
4.0 m
4.0 m h = ? h = ?
h = 5.0 m
A
B
h = 5.0 m
A …show more content…
Find the downward acceleration of the cylinder and the tension in the string. (3 points)
Q4- (30 points)
A 5.0 kg and 2.0 m beam is hinged to a wall and supported by a thin cable attached to a building. The beam is supported at an angle of 400 as showed in the figure and used to support a 10 kg sign.
400 400
a- Draw the free body, diagram showing all forces. (5 points) b- Write the equilibrium, conditions applied to this situation (include each equation and the respectively lever arm for each force). (5 points) c- Calculate the tension in the cable. (7 points) d- Calculate the magnitude, of the compressive force exerted by the beam on the wall. (7 points)
Extra Credit:
e- If you exert a horizontal force of 0.20 N on the top surface (parallel to the surface) of a cube of Jell-O 6 cm, and observe a sideways displacement of 5 mm. What is the shear modulus of the Jell-O? (3 points)
Q6- (30 Points)
One mole of a monatomic ideal gas at p1, and V1is heated and expands at constant pressure to a volume 4V1. It is then cooled at constant volume until the pressure has dropped to half of initial pressure (0.5