Athabasca University

Athabasca University PHYS 204 Assignment 3
Assignment 3
The ten questions below cover Units 8-10and 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.
A pump draws 750 kg of water per minute from a well 15.0 m deep and ejects it with a speed of 25.0 m/s, making a vertical fountain.
What is the power output of the pump?
How high is the fountain? Ignore air resistance.
The spring shown below has a spring constant equal to 1,500 N/m. It is compressed
18.0 cm, then launches a 400 g block. The horizontal surface is frictionless and the coefficient of kinetic friction with the incline is 0.15. What horizontal distance ddoes the block cover while in the air after it takes off at the top of the incline?

A locomotive with power capability of 1.5 MW accelerates a train steadily from a speed of
20 km/h to 50 km/h in 5.0 min. Calculate:
the distance travelled by the train during this time interval
the mass of the train
A uniform chain with a mass of 5.00 kg and a length of 2.00 m lies on a table with 50.0 cm hanging over the edge. What is the minimum energy required to get all of the chain back on the table?

A 12.0 g bullet moving with upward speed of 960 m/s strikes and passes through a 2.00 kg block initially at rest, as shown. The bullet emerges from the block with a speed of 240 m/s. To what maximum height will the block rise above its initial position?

A 3.00 kg object moving at 5.00 m/s strikes a 2.00 kg object initially at rest. Immediately after the collision, the heavier object has a velocity of 3.50 m/s directed 33.0°? from its initial direction of motion.
What is the speed of the other object?
Is this collision elastic or inelastic? Explain.
Two identical spheres, labeled A and B, collide. The initial velocities before the collision are v ?_Ai=(10.0 i ^-15.0 j ^ )m/sand v ?_Bi=(12.0 i ^-18.0 j ^ )m/s. After the collision, sphere A moves with final velocity ofv ?_Af=(8.00 i ^-11.0 j ^ )m/s. Determine the ?nal velocity of sphere B?
A 7.0 kg block is connected, as shown, by a light cord to a 3.0 kg mass, which slides on a rough surface with the coefficient of kinetic friction equal to 0.35. The pulley is a uniform disk of mass 1.0 kg and rotates about a frictionless axis. The cord does not slip on the pulley. Calculate:
the linear acceleration of the system.
the tension in the two sections of the cord.

A 2.5 kg solid block has the dimensions a= 12 cm, b= 20 cm and c= 2.0 cm. Calculate its moment of inertia about an axis through one corner and perpendicular to the large faces, as shown.

Calculate the moment of inertia of a solid cone about an axis through its centre. The cone has a mass Mand height h,and the radius of its circular base is R.

Athabasca University PHYS 204 Assignment 4
Assignment 4
The ten questions below cover Units 11-13 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.
A 4.00-kg particle moves in the xyplane with a constant speed of 9.00 m/s along the direction of the vector (i ^-j ^ ). When the particle is at the position (4.00 m, 0) calculate its the angular momentum relative to the point (2.00 m, 0).
A 10.0-kg disk, of radius 50.0 cm, rotates while experiencing variable torque given by the equation t=(3.00 t-2.00)N·m. At t=2.00 s, the disk has angular momentum equal to 6.00 kg·m^2/s. Calculate its angular speed and angular momentum at t=5.00 s
A small 60.0 g block slides down a frictionless surface through a height h = 25.0 cm and then sticks to the lower end of a vertical rod of mass 150 g and length 50.0 cm. The rod pivots about a point near its upper end through an angle ?before momentarily stopping. Find ?.

A 32.0 kg child sits near the edge of a rotating merry-go-round that has the shape of a uniform disk of mass 60.0 kg and diameter 2.00 m. When the rotational speed is ?= 1.00 rad/s, the child catches a ball of mass 0.500 kg thrown by her mom. Just before the ball is caught, it has a horizontal velocity of magnitude v = 16.0 m/s at an angle ?= 30.0° with a line tangent to the outer edge of the merry-go-round, as shown. Calculate the angular speed of the merry-go-round just after the ball is caught.

A horizontal beam of length 9.0 m and mass 30 kg is hinged at the wall, with the far end supported by a cable that makes an angle of 60° with the horizontal. A 20 kg sign hangs from the beam by two cables as shown. The cable can sustain a maximum tension of 900 N. A
76 kg man starts at the hinge and walks on the beam towards the sign. Calculate:
the maximum distance the man can walk safely
the reaction forces at the hinge just before the cable breaks

Two ladders, 4.0 m and 3.0 m long, are hinged at point A and tied together by a horizontal rope 75 cm above a frictionless surface, as shown. The mass of the longer ladder is 30 kg and that of the shorter one is 20 kg.
Calculate the upward reaction forces at the bottom of each ladder.
Calculate the tension in the rope.

A square ceramic tile of side width 50 cm is prepared to fit around an edge. A square section of side length 25 cm is cut from one corner of the tile, as shown. As a result, the centre-of-mass of the tile shifts from point A to point B. Find the distance between the two points.

A satellite moves in a circular orbit of radius 5.20×?10?^4 km around a planet with a period of 62.0 hours. If the gravitational acceleration near its surface is 6.80 m/s^2, calculate the planet’s mass and radius.

A particle of mass mis placed at a point along the axis of a ring at a distance dfrom its centre, as shown. The ring has a mass Mand radius a.
Calculate the gravitational potential energy of the system.
Show that when a«d the gravitational potential energy reduces to that between two point particles.

A weightlifter can lift 120 kg on Earth. What mass could the same person lift on
the moon?
the sun?
(See Table 13.2 in the textbook for planetary data.)

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