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Q1:

A block of mass 3.92 kg lies on a frictionless horizontal surface. The block is connected by a cord passing over a pulley to another block
of mass 3.97 kg which hangs in the air, as shown. Assume the cord to be light (massless and weightless) and unstretchable and the pulley to have no friction and no rotational inertia.

2078_Calculate the acceleration.png

Calculate the acceleration of the first block. The acceleration of gravity is 9.8 m/s2.

Answer in units of m/s2

Q2: Calculate the tension in the cord. Answer in units of N

Q3: A block is released from rest on an inclined plane and moves 2.2 m during the next 5.6s.

1080_Calculate the acceleration2.png

The acceleration of gravity is 9.8 m/s2.

What is the magnitude of the acceleration of the block?

Q4: What is the coefficient of kinetic friction μk for the incline?

Q5: There is friction between the block and the table.

614_Calculate the acceleration1.png

The suspended 3 kg mass on the left is moving up, the 4 kg mass slides to the right on the table, and the suspended mass 6 kg on the right is moving down.

The acceleration of gravity is 9.8 m/s2.

What is the magnitude of the acceleration of the system?

Q6: A 9.5 kg bucket of water is raised from a well by a rope.

The acceleration of gravity is 9.8 m/s2.

If the upward acceleration of the bucket is 3.7 m/s2, find the force exerted by the rope on the bucket. Use g = 9.8 m/s2.

a) What is the tension T in the left-hand cable slanted at an angle of θ with respect to the wall?

Q7: Consider the 604 N weight held by two cables shown below. The left-hand cable had tension T and makes an angle of θ with the wall. The right-hand cable had tension 730 N and makes an angle of 27o with the ceiling.

a) What is the tension T in the left-hand cable slanted at an angle of θ with respect to the wall?

Q8: b) What is the angle θ which the left-hand cable makes with respect to the wall?

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