Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 0, Problem 13P
To determine
Whether the given equations are consistent with the units
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A bungee jumper plans to bungee jump from a bridge 64.0 m above the ground. He plans to use a uniform elastic cord, tied to a harness around his body, to stop his fall at a point 6.00 m above the water. Model his body as a particle and the cord as having negligible mass and obeying
Hooke's law. In a preliminary test he finds that when hanging at rest from a 5.00 m length of the cord, his body weight stretches it by 1.55 m. He will drop from rest at the point where the top end of a longer section of the cord is attached to the bridge.
(a) What length of cord should he use?
m
(b) What maximum acceleration will he experience?
m/s²
Chapter 0 Solutions
Physics Fundamentals
Ch. 0 - Prob. 1PCh. 0 - Prob. 2PCh. 0 - Prob. 3PCh. 0 - Prob. 4PCh. 0 - Prob. 5PCh. 0 - Prob. 6PCh. 0 - Prob. 7PCh. 0 - Prob. 8PCh. 0 - Prob. 9PCh. 0 - Prob. 10P
Ch. 0 - Prob. 11PCh. 0 - Prob. 12PCh. 0 - Prob. 13PCh. 0 - Prob. 14PCh. 0 - Prob. 15PCh. 0 - Prob. 16PCh. 0 - Prob. 17PCh. 0 - Prob. 18PCh. 0 - Prob. 19PCh. 0 - Prob. 20PCh. 0 - Prob. 21PCh. 0 - Prob. 22PCh. 0 - Prob. 23PCh. 0 - Prob. 24PCh. 0 - Prob. 25PCh. 0 - Prob. 26PCh. 0 - Prob. 27PCh. 0 - Prob. 28PCh. 0 - Prob. 29PCh. 0 - Prob. 30PCh. 0 - Prob. 31PCh. 0 - Prob. 32PCh. 0 - Prob. 33PCh. 0 - Prob. 34P
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- A deli uses an elevator to move items from one level to another. The elevator has a mass of 550 kg and moves upward with constant acceleration for 2.00 s until it reaches its cruising speed of 1.75 m/s. (Note: 1 hp (a) What is the average power (in hp) of the elevator motor during this time interval? Pave = hp (b) What is the motor power (in hp) when the elevator moves at its cruising speed? Pcruising hp = 746 W.)arrow_forwardA 1.40-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 (Figure a). The object has a speed of v₁ = 3.50 m/s when it makes contact with a light spring (Figure b) that has a force constant of 50.0 N/m. The object comes to rest after the spring has been compressed a distance d (Figure c). The object is then forced toward the left by the spring (Figure d) and continues to move in that direction beyond the spring's unstretched position. Finally, the object comes to rest a distance D to the left of the unstretched spring (Figure e). d m v=0 -D- www (a) Find the distance of compression d (in m). m (b) Find the speed v (in m/s) at the unstretched position when the object is moving to the left (Figure d). m/s (c) Find the distance D (in m) where the object comes to rest. m (d) What If? If the object becomes attached securely to the end of the spring when it makes contact, what is the new value of the distance D (in m) at which the object will come to…arrow_forwardAs shown in the figure, a 0.580 kg object is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x. The force constant of the spring is 450 N/m. When it is released, the object travels along a frictionless, horizontal surface to point A, the bottom of a vertical circular track of radius R = 1.00 m, and continues to move up the track. The speed of the object at the bottom of the track is VA = 13.0 m/s, and the object experiences an average frictional force of 7.00 N while sliding up the track. R (a) What is x? m A (b) If the object were to reach the top of the track, what would be its speed (in m/s) at that point? m/s (c) Does the object actually reach the top of the track, or does it fall off before reaching the top? O reaches the top of the track O falls off before reaching the top ○ not enough information to tellarrow_forward
- A block of mass 1.4 kg is attached to a horizontal spring that has a force constant 900 N/m as shown in the figure below. The spring is compressed 2.0 cm and is then released from rest. wwww wwwwww a F x = 0 0 b i (a) A constant friction force of 4.4 N retards the block's motion from the moment it is released. Using an energy approach, find the position x of the block at which its speed is a maximum. ст (b) Explore the effect of an increased friction force of 13.0 N. At what position of the block does its maximum speed occur in this situation? cmarrow_forwardYou have a new internship, where you are helping to design a new freight yard for the train station in your city. There will be a number of dead-end sidings where single cars can be stored until they are needed. To keep the cars from running off the tracks at the end of the siding, you have designed a combination of two coiled springs as illustrated in the figure below. When a car moves to the right in the figure and strikes the springs, they exert a force to the left on the car to slow it down. Total force (N) 2000 1500 1000 500 Distance (cm) 10 20 30 40 50 60 i Both springs are described by Hooke's law and have spring constants k₁ = 1,900 N/m and k₂ = 2,700 N/m. After the first spring compresses by a distance of d = 30.0 cm, the second spring acts with the first to increase the force to the left on the car in the figure. When the spring with spring constant k₂ compresses by 50.0 cm, the coils of both springs are pressed together, so that the springs can no longer compress. A typical…arrow_forwardA spring is attached to an inclined plane as shown in the figure. A block of mass m = 2.71 kg is placed on the incline at a distance d = 0.285 m along the incline from the end of the spring. The block is given a quick shove and moves down the incline with an initial speed v = incline angle is 0 = 20.0°, the spring constant is k = 505 N/m, and we can assume the surface is frictionless. By what distance (in m) is the spring compressed when the block momentarily comes to rest? m k www m 0.750 m/s. Thearrow_forward
- A block of mass m = 2.50 kg situated on an incline at an angle of k=100 N/m www Ө m = 50.0° is connected to a spring of negligible mass having a spring constant of 100 N/m (Fig. P8.54). The pulley and incline are frictionless. The block is released from rest with the spring initially unstretched. (a) How far does it move down the frictionless incline before coming to rest? m (b) What is its acceleration at its lowest point? Magnitude m/s2 Direction O up the incline down the inclinearrow_forward(a) A 15.0 kg block is released from rest at point A in the figure below. The track is frictionless except for the portion between points B and C, which has a length of 6.00 m. The block travels down the track, hits a spring of force constant 2,100 N/m, and compresses the spring 0.250 m from its equilibrium position before coming to rest momentarily. Determine the coefficient of kinetic friction between the block and the rough surface between points B and C. 3.00 m -A B C -6.00 m (b) What If? The spring now expands, forcing the block back to the left. Does the block reach point B? ○ Yes No If the block does reach point B, how far up the curved portion of the track does it reach, and if it does not, how far short of point B does the block come to a stop? (Enter your answer in m.) marrow_forwardA ball of mass m = 1.95 kg is released from rest at a height h = 57.0 cm above a light vertical spring of force constant k as in Figure [a] shown below. The ball strikes the top of the spring and compresses it a distance d = 7.80 cm as in Figure [b] shown below. Neglecting any energy losses during the collision, find the following. т h m a d T b (a) Find the speed of the ball just as it touches the spring. m/s (b) Find the force constant of the spring. kN/marrow_forward
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