Question C3 A meriy-go-around with mass 293 kg and diameter 4.15 m is rotating freely with an angular velocity of 0.785 rad/s a) Calculate the moment of inertia of the merry-go-around. Assume that it is a solid cylinder b) Four people standing on the ground, each of mass 54.6 kg. suddenly step onto the edge of the mery-go- around What is the angular welocity of the merry go-around now? (C) Calculate the rotational kinetic energy of the merry-go-around before and after the four people stepping onto it Question C4 An object is 5.5 cm high and 32 cm from a converging lens. Its image is 87 cm from the lens and on the same side as the object

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Question C3
A merry-go-around with mass 293 kg and diameter 4.15 m is rotating freety with an angular velocity of 0.785 rad/s
(a) Calculate the moment of inertia of the merry-go-around. Assume that it is a solid cylinder
(b) Four people standing on the ground, each of mass 54.6 kg. suddenly step onto the edge of the merry go around What is the angular
velocity of the merry go-around now?
(C) Calculate the rotational kinetic energy of the merry-go-around before and after the four people stepping onto iIt
Question C4
An object is 5.5 cm high and 32 cm from a converging lens. Its image is 87 cm trom the lens and on the same side as the object
(a) What is the focal length of the lens?
(b) What is the power of the lens?
(c) What is the height of the image?
(dj Give TWO characteristics of the image formed
Transcribed Image Text:Question C3 A merry-go-around with mass 293 kg and diameter 4.15 m is rotating freety with an angular velocity of 0.785 rad/s (a) Calculate the moment of inertia of the merry-go-around. Assume that it is a solid cylinder (b) Four people standing on the ground, each of mass 54.6 kg. suddenly step onto the edge of the merry go around What is the angular velocity of the merry go-around now? (C) Calculate the rotational kinetic energy of the merry-go-around before and after the four people stepping onto iIt Question C4 An object is 5.5 cm high and 32 cm from a converging lens. Its image is 87 cm trom the lens and on the same side as the object (a) What is the focal length of the lens? (b) What is the power of the lens? (c) What is the height of the image? (dj Give TWO characteristics of the image formed
Question C1
Figure below shows a shop sign supported by a uniform horizontal boom of length 3.4 m and mass 12 kg. A cable, inclined at an angle of 30°
with the boom, is attached at a distance of 2.7 m from the hinge at the wall. The mass of the sign is 14 kg.
Hinge
(a) Draw a free body diagram for the boom. Please resolve vector (f needed) and retlect it in the free body diagram
(b) Calculate the tension in the cable, and the norlzontal and vertical components of the farce exerted by the hinge on the boom
Question C2
Initially 51 g of ice at 0.0°C is in an aluminum calorimeter can of mass 13 g. also at 0 0°C. Then 71g of water at 90°c is poured into the can.
What is the final temperature? (Refer to Lecture 9 for coetticients / constants)
Question C3
A mery-go-around with mass 293 kg and diameter 4.15 m is rotating treely with an angutar velocity of 0.785 rad/s
(a) Calculate the moment of inertia of the merry-go-around Assume that it is a solid cylinder
(b) Four people standing on the ground, each of mass 54.6 kg subderly step'onto the edge of tie merry-go-around What is the angular
velocity of the merry-go-around now?
(E) Caiculate the rotational kinetic energy of the meny-go-around betore and ater tre four people stepping onto it
Transcribed Image Text:Question C1 Figure below shows a shop sign supported by a uniform horizontal boom of length 3.4 m and mass 12 kg. A cable, inclined at an angle of 30° with the boom, is attached at a distance of 2.7 m from the hinge at the wall. The mass of the sign is 14 kg. Hinge (a) Draw a free body diagram for the boom. Please resolve vector (f needed) and retlect it in the free body diagram (b) Calculate the tension in the cable, and the norlzontal and vertical components of the farce exerted by the hinge on the boom Question C2 Initially 51 g of ice at 0.0°C is in an aluminum calorimeter can of mass 13 g. also at 0 0°C. Then 71g of water at 90°c is poured into the can. What is the final temperature? (Refer to Lecture 9 for coetticients / constants) Question C3 A mery-go-around with mass 293 kg and diameter 4.15 m is rotating treely with an angutar velocity of 0.785 rad/s (a) Calculate the moment of inertia of the merry-go-around Assume that it is a solid cylinder (b) Four people standing on the ground, each of mass 54.6 kg subderly step'onto the edge of tie merry-go-around What is the angular velocity of the merry-go-around now? (E) Caiculate the rotational kinetic energy of the meny-go-around betore and ater tre four people stepping onto it
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