Homework Answers
A string with a total length of 270.8 0.05 cm has a total mass of 12.0...
A string with a total length of 270.8 0.05 cm has a total mass of 12.0 +0.1g. It is fixed at one end and stretched between that end and a pulley, two points that are 159.6 0.05 cm apart, by hanging a mass of 200.0 +0.1 g. When the string is removed from the hanging mass, that portion of the string that was between the two fixed points is 145.0 ± 0.05 cm. From the above information show the following...
A 200-gram mass was placed 7.5 cm from the axis of rotation and a 100-gram mass...
A 200-gram mass was placed 7.5 cm from the axis of rotation and a 100-gram mass was placed 15.0 cm from the axis of rotation. The system is then allowed to freely rotate. Which object had the larger rotational inertia? Explain your reasoning. A 200-gram mass was placed 7.5 cm from the axis of rotation and a 100-gram mass was placed 15.0 cm from the axis of rotation. Would it be possible to replace these two masses with four 50-gram...
A ring of radius 0.6 m has a mass of 5.0 kg, giving it a moment...
A ring of radius 0.6 m has a mass of 5.0 kg, giving it a moment of inertia of 1.8 kgm2. If the uncertainty in the radius is 0.14 and that of the mass is 0.1, what is the uncertainty of the moment of inertia, in kgm2?
An unstretched vertical spring has length of L1 = 7.35 ± 0.05 cm. A mass is...
An unstretched vertical spring has length of L1 = 7.35 ± 0.05 cm. A mass is hung on the spring which then stretches to a length L2 = 12.50 ± 0.05 cm. If the mass added was 500.0 ± 0.1 g, calculate the spring constant k and its uncertainty. Show your workings.
A pencil (mass 12.0 g and length 18 cm) is initially balanced so that it is...
A pencil (mass 12.0 g and length 18 cm) is initially balanced so that it is standing vertically on a flat table. If the pencil then falls, what is its angular velocity just before it strikes the tabletop? Assume the mass of the pencil is distributed uniformly and the end of the pencil in contact with the table does not slip.
A pencil (mass 12.0 g and length 18 cm) is initially balanced so that it is...
A pencil (mass 12.0 g and length 18 cm) is initially balanced so that it is sitting vertically on a flat table. If the pencil then falls, what is its angular velocity just before it strikes the tabletop? Assume the mass of the pencil is distributed uniformly and the end of the pencil in contact with the table does not slip.
A glass tumbler of 200 g mass and 5 cm inside diameter is filled to a depth of 10 cm with tap water whose temperature is 10 degrees C, and at 50 g of ice 0 degrees C are then added
A glass tumbler of 200 g mass and 5 cm inside diameter is filled to a depth of 10 cm with tap water whose temperature is 10 degrees C, and at 50 g of ice 0 degrees C are then added. At the end of an hour, it is noticed that the ice has just finished melting. What was the average rate, in calories per second, at which heat flowed into the glass from its surroundings?
A physical pendulum of 1 kg of mass oscillates in a simple harmonic movement, with a period of π sec. The distance from the center of mass to the axis of rotation is 40 cm. What is your moment of iner...
A physical pendulum of 1 kg of mass oscillates in a simple harmonic movement, with a period of π sec. The distance from the center of mass to the axis of rotation is 40 cm. What is your moment of inertia with respect to the center of mass? (consider g = 10 m/s^2)? a) 0.66 kg•m2 b) 1 kg•m2 c) 0.46 kg•m2 d) 0.84 kg•m2 e) 1.16 kg•m2
5. A cylinder has a mass of 10.0 ± 0.1 g, a height of 5.00 ±...
5. A cylinder has a mass of 10.0 ± 0.1 g, a height of 5.00 ± 0.01 cm, and a radius of 4.00 ± 0.01 mm. Calculate the density, including uncertainty, in kg/m^3. 6. The sides of a right triangle are measured to be a = 7.80 ± 0.02 cm and b = 6.40 ± 0.02 cm. Determine the length of the hypotenuse of the triangle (given by ?^2 +?^2 = ?^2) and the uncertainty in the length. (Hint: you...
(a) You are given a solid sphere of 20 kg and radius 40 cm. What is...
(a) You are given a solid sphere of 20 kg and radius 40 cm. What is the moment of inertia along any tangent? (b) You are given a meter stick (mass is distributed uniformly) whose mass is 400 g What is its moment of inertia about the 60 cm mark? 4.
A string with a total length of 270.8 0.05 cm has a total mass of 12.0 +0.1g. It is fixed at one end and stretched between that end and a pulley, two points that are 159.6 0.05 cm apart, by hanging a mass of 200.0 +0.1 g. When the string is removed from the hanging mass, that portion of the string that was between the two fixed points is 145.0 ± 0.05 cm. From the above information show the following...
(a) You are given a solid sphere of 20 kg and radius 40 cm. What is the moment of inertia along any tangent? (b) You are given a meter stick (mass is distributed uniformly) whose mass is 400 g What is its moment of inertia about the 60 cm mark? 4.
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