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Homework 13 (PHYS 161)
General Physics I (PH 161)
Montgomery College
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Homework Monday, December 6, 2021 9:51 AM Physics 161 Fall 2021 HW 5. A massive object of m 5 kg oscillates with simple harmonic motion. Its position as a function of time varies according to the equation x(f) 1 (a) What is the 1. The Earth has an angular speed of 7 in its rotation. Find the new angular speed if position, velocity, and acceleration of the object at m. 2 (b) an asteroid (m 1 x1022 kg) hits the Earth while traveling at a speed of 1 x103 (assume the What is the kinetic energy of the object as a function of time? (c) At which time after is asteroid is a point mass compared to the radius of the Earth) in each of the following cases. (a) The the kinetic energy first at a maximum? s) P V asteroid hits the Earth dead center along the radial line from the Sun through the center (b) The asteroid hits the Earth nearly tangentially in the direction of rotation. (c) The asteroid hits the a. Earth nearly tangentially in the direction opposite to rotation. I 1 :mursine ME 5 10 24 e)11)2 1 1 TE 6 x 10 mls a. 0 Li L L L F 7 x10339.73x1037 7 same equation as b except 6. A mass M 0 kg moves with an initial speed 2 on a level frictionless air track. The 2. Four children stand at edge of a circular horizontal platform that is free to rotate about a vertical mass is initially a distance D 0 m away from a spring with k 876 which is mounted axis. Each child has a mass of 35 kg and are at positions that are a quarter circle from each other. rigidly at one end of the air track. The mass compresses the spring a maximum distance d, before The platform has a moment of inertia equal to 500 kgm2 and a radius of 2 m. The system is reversing direction. After bouncing off the spring, the mass travels with the same speed v. but in initially rotating at 6 The children walk toward the center of the platform until they are the opposite direction. (a) Determine the maximum distance that the spring is compressed. 0 m from the center. (a) What is the ratational speed of the platform when the children are at 0 (b) Find the total elapsed time until the mass returns to its starting point. (Hint: The the 0 m positions? (b) What is the change in rotational kinetic energy of the system? mass undergoes a partial cycle of simple harmonic motion while in contact with the spring.) a. E, E 876 ,25 a. 351 1 rad sec M(w() x vt , 25 2 t t : 08 . 17 3. A block of wood of mass 54 g attached to a spring, oscillating up and down in simple harmonic motion with a frequency of 2 Hz. (a) What is the value of the effective spring constant of the spring? F 2 Hz , k ? 4. A block with mass 0 kg is attached to a horizontal spring with spring constant 1 on a frictionless surface. The block is pulled 0 m from equilibrium and released. (a) What is the amplitude of the motion? (b) What is its period? (c) How long after release does the block take to first return to its equilibrium position? (d) What is its speed at that position? d. 1 b. T d. A COS O v(t) 0) 0) Speed Homework Monday, December 6, 2021 9:51 AM Physics 161 Fall 2021 HW 5. A massive object of m 5 kg oscillates with simple harmonic motion. Its position as a function of time varies according to the equation x(f) 1 (a) What is the 1. The Earth has an angular speed of 7 in its rotation. Find the new angular speed if position, velocity, and acceleration of the object at m. 2 (b) an asteroid (m 1 x1022 kg) hits the Earth while traveling at a speed of 1 x103 (assume the What is the kinetic energy of the object as a function of time? (c) At which time after is asteroid is a point mass compared to the radius of the Earth) in each of the following cases. (a) The the kinetic energy first at a maximum? s) P V asteroid hits the Earth dead center along the radial line from the Sun through the center (b) The asteroid hits the Earth nearly tangentially in the direction of rotation. (c) The asteroid hits the a. Earth nearly tangentially in the direction opposite to rotation. I 1 :mursine ME 5 10 24 e)11)2 1 1 TE 6 x 10 mls a. 0 Li L L L F 7 x10339.73x1037 7 same equation as b except 6. A mass M 0 kg moves with an initial speed 2 on a level frictionless air track. The 2. Four children stand at edge of a circular horizontal platform that is free to rotate about a vertical mass is initially a distance D 0 m away from a spring with k 876 which is mounted axis. Each child has a mass of 35 kg and are at positions that are a quarter circle from each other. rigidly at one end of the air track. The mass compresses the spring a maximum distance d, before The platform has a moment of inertia equal to 500 kgm2 and a radius of 2 m. The system is reversing direction. After bouncing off the spring, the mass travels with the same speed v. but in initially rotating at 6 The children walk toward the center of the platform until they are the opposite direction. (a) Determine the maximum distance that the spring is compressed. 0 m from the center. (a) What is the ratational speed of the platform when the children are at 0 (b) Find the total elapsed time until the mass returns to its starting point. (Hint: The the 0 m positions? (b) What is the change in rotational kinetic energy of the system? mass undergoes a partial cycle of simple harmonic motion while in contact with the spring.) a. E, E 876 ,25 a. 351 1 rad sec M(w() x vt , 25 2 t t : 08 . 17 3. A block of wood of mass 54 g attached to a spring, oscillating up and down in simple harmonic motion with a frequency of 2 Hz. (a) What is the value of the effective spring constant of the spring? F 2 Hz , k ? 4. A block with mass 0 kg is attached to a horizontal spring with spring constant 1 on a frictionless surface. The block is pulled 0 m from equilibrium and released. (a) What is the amplitude of the motion? (b) What is its period? (c) How long after release does the block take to first return to its equilibrium position? (d) What is its speed at that position? d. 1 b. T d. A COS O v(t) 0) 0) Speed
Homework 13 (PHYS 161)
Course: General Physics I (PH 161)
University: Montgomery College
