Imagine the force you exert on a door in Northside Hall is 50N, applied perpendicular to the plane of the door. The door is 1.0m wide. (a) Assuming that you pushed the door at its edge, what is the magnitude of the torque on the swinging door (taking the hinge as the pivot point)? (b) Sketch the situation and indicate the directions of the force and the torque in your diagram.

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11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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can you help with 9 sub parts a and b 

Constants:
G= 6.7 x 10 1 N-m2/kg?
9 = 9.8 m/s?
Moment of Inertia:
1=Emr I = MR Luak = Igitnder = MR Irat =
Iyphere =MR
Inerepp = MR Idisk = Ieyltnder
ML
4. Question 4) asked you which rolls down an inclined plane faster, a hoop or a solid cylinder if
both have the same mass and radius.
b) Explain your reasoning here,
5. Mars has a mass of 6.4 x 10 kg and a radius of 3.4 x 10° m.
(a) What is the escape velocity of a projectile launched from the surface of Mars?
(b) If a projectile is somehow launched from the surface of Mars with a speed of 5200 m/s,
what will its speed be when it is very far (r 0) from Mars?
6. A tennis ball (mass = 0.060 kg) is thrown horizontally from the top of a cliff, 10.0 m above
the base of the cliff, with an initial speed of 10.0 m/s. The tennis ball reachos the ground a
horizontal distance of 19.0 m from where it was thrown. Its speed when it hits the ground is
16.1 m/s.
(a) How much work is done by the gravitational force as it goes from the point of release,
r = (0, 10, 0) m, to the point where it hits the ground rf = (19.0, 0, 0) m?
(b) What is AK, the change in kinetie energy of the tennis ball from whon it was thrown
to when when it hits the ground?
(c) How much work is done by air resistance (i.e. friction) as the tennis ball moves from its
point of re- leasc to the point where it hits the ground?
7. Two cars collide at an intersection. Just before the collision, car A (mass
traveling north at 18 m/s and car B (mass
cars collide, they stick together.
1000 kg) is
= 1200 kg) is traveling east at 20 m/s. When the
(a) What is the common speed (magnitude of the velocity) of the two stuck-together cars
after the collision?
Transcribed Image Text:Constants: G= 6.7 x 10 1 N-m2/kg? 9 = 9.8 m/s? Moment of Inertia: 1=Emr I = MR Luak = Igitnder = MR Irat = Iyphere =MR Inerepp = MR Idisk = Ieyltnder ML 4. Question 4) asked you which rolls down an inclined plane faster, a hoop or a solid cylinder if both have the same mass and radius. b) Explain your reasoning here, 5. Mars has a mass of 6.4 x 10 kg and a radius of 3.4 x 10° m. (a) What is the escape velocity of a projectile launched from the surface of Mars? (b) If a projectile is somehow launched from the surface of Mars with a speed of 5200 m/s, what will its speed be when it is very far (r 0) from Mars? 6. A tennis ball (mass = 0.060 kg) is thrown horizontally from the top of a cliff, 10.0 m above the base of the cliff, with an initial speed of 10.0 m/s. The tennis ball reachos the ground a horizontal distance of 19.0 m from where it was thrown. Its speed when it hits the ground is 16.1 m/s. (a) How much work is done by the gravitational force as it goes from the point of release, r = (0, 10, 0) m, to the point where it hits the ground rf = (19.0, 0, 0) m? (b) What is AK, the change in kinetie energy of the tennis ball from whon it was thrown to when when it hits the ground? (c) How much work is done by air resistance (i.e. friction) as the tennis ball moves from its point of re- leasc to the point where it hits the ground? 7. Two cars collide at an intersection. Just before the collision, car A (mass traveling north at 18 m/s and car B (mass cars collide, they stick together. 1000 kg) is = 1200 kg) is traveling east at 20 m/s. When the (a) What is the common speed (magnitude of the velocity) of the two stuck-together cars after the collision?
(b) Is this collision clastic or inolastic? Justify your answer quantitativoly, i.c. with a cal-
culation. (If you didn't get an answer to part (a), use 12 m/s as the common speed of
the stuck-together cars.)
8. At a track and field meet a discus is thrown so that it spins at 5 revolutions per socond and
moves forward at 8.0 m/s. The discus can be considered a uniform cylinder with a mass of
2.0 kg and radius of 0.11 m.
(a) What is the angular speed of rotation of the discus, in rad/s?
(b) What is tho rotational kinctie energy of the discus?
(c) What is the total kinetic energy (rotational plus translational) of the discus?
9. Imagine the force you exert on a door in Northside Hall is 50N, applied perpendicular to the
plane of the door. The door is 1.0m wide.
(a) Assuming that you pushed the door at its edge, what is the magnitude of the torque on
the swinging door (taking the hinge as the pivot point)?
(b) Sketch the situation and indicate the directions of the force and the torque in your
diagram.
Transcribed Image Text:(b) Is this collision clastic or inolastic? Justify your answer quantitativoly, i.c. with a cal- culation. (If you didn't get an answer to part (a), use 12 m/s as the common speed of the stuck-together cars.) 8. At a track and field meet a discus is thrown so that it spins at 5 revolutions per socond and moves forward at 8.0 m/s. The discus can be considered a uniform cylinder with a mass of 2.0 kg and radius of 0.11 m. (a) What is the angular speed of rotation of the discus, in rad/s? (b) What is tho rotational kinctie energy of the discus? (c) What is the total kinetic energy (rotational plus translational) of the discus? 9. Imagine the force you exert on a door in Northside Hall is 50N, applied perpendicular to the plane of the door. The door is 1.0m wide. (a) Assuming that you pushed the door at its edge, what is the magnitude of the torque on the swinging door (taking the hinge as the pivot point)? (b) Sketch the situation and indicate the directions of the force and the torque in your diagram.
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