CP BIO Whiplash Injuries . When a car is hit from behind, its passengers undergo sudden forward acceleration, which can cause a severe neck injury known as whiplash. During normal acceleration, the neck muscles play a large role in accelerating the head so that the bones are not injured. But during a very sudden acceleration, the muscles do not react immediately because they are flexible; most of the accelerating force is provided by the neck bones. Experiments have shown that these bones will fracture if they absorb more than 8.0 J of energy, (a) If a car waiting at a stoplight is rear-ended in a collision that lasts for 10.0 ms, what is the greatest speed this car and its driver can reach without breaking neck bones if the driver’s head has a mass of 5.0 kg (which is about right for a 70-kg person)? Express your answer in m/s and in mi/h. (b) What is the acceleration of the passengers during the collision in part (a), and how large a force is acting to accelerate their heads? Express the acceleration in m/s 2 and in g s.
CP BIO Whiplash Injuries . When a car is hit from behind, its passengers undergo sudden forward acceleration, which can cause a severe neck injury known as whiplash. During normal acceleration, the neck muscles play a large role in accelerating the head so that the bones are not injured. But during a very sudden acceleration, the muscles do not react immediately because they are flexible; most of the accelerating force is provided by the neck bones. Experiments have shown that these bones will fracture if they absorb more than 8.0 J of energy, (a) If a car waiting at a stoplight is rear-ended in a collision that lasts for 10.0 ms, what is the greatest speed this car and its driver can reach without breaking neck bones if the driver’s head has a mass of 5.0 kg (which is about right for a 70-kg person)? Express your answer in m/s and in mi/h. (b) What is the acceleration of the passengers during the collision in part (a), and how large a force is acting to accelerate their heads? Express the acceleration in m/s 2 and in g s.
CP BIO Whiplash Injuries. When a car is hit from behind, its passengers undergo sudden forward acceleration, which can cause a severe neck injury known as whiplash. During normal acceleration, the neck muscles play a large role in accelerating the head so that the bones are not injured. But during a very sudden acceleration, the muscles do not react immediately because they are flexible; most of the accelerating force is provided by the neck bones. Experiments have shown that these bones will fracture if they absorb more than 8.0 J of energy, (a) If a car waiting at a stoplight is rear-ended in a collision that lasts for 10.0 ms, what is the greatest speed this car and its driver can reach without breaking neck bones if the driver’s head has a mass of 5.0 kg (which is about right for a 70-kg person)? Express your answer in m/s and in mi/h. (b) What is the acceleration of the passengers during the collision in part (a), and how large a force is acting to accelerate their heads? Express the acceleration in m/s2 and in g s.
A rocket is launched vertically from the Earth, and the thrust (pushing force) from the engines is directed upward, and has a magnitude of 5.00 x 106N. The mass of the rocket is initially 2.00 x 105 kg.What is the initial acceleration of the rocket, assuming you can neglect air resistance?
a
50.0 m/s2
b
15.2 m/s2
c
7.6 m/s2
d
25.0 m/s2
A constant force P = 750 N acts on the body shown during only the first 6 m of its motion starting from rest. If u = 0.20, find the velocity of the body after it has moved a total distance of 9m.
a. 2.32 m/s2
b. 4.73 m/s2
c. 3.93 m/s2
d. 3.11 m/s2
Three F forces 1 = (2.00î + 2.00ĵ) N, F2 = (−5.00î− 3.00ĵ) N and F3 = (4.50î) N act on a body, initially at rest, producing an acceleration equal to 3 , 60m s 2 ⁄. (a) What is the direction of the acceleration vector in relation to the x-axis> 0? (b) What is the body mass? (c) What is the speed of the body after 10.0s? (d) What are the components of the velocity vector after 10.0s? Answers: (a) θ ≅ 326.3 °; (b) m = 0.500kg; (c) v = 36,0m⁄s and (d) vx = 30,0m⁄s and vy = −20,0m⁄s.
Chapter 6 Solutions
University Physics with Modern Physics (14th Edition)
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