Physics
5th Edition
ISBN: 9781260486919
Author: GIAMBATTISTA
Publisher: MCG
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Chapter 29, Problem 35P
To determine
The half-life of
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One end of a light spring with spring constant k is attached to the ceiling. A second light spring is attached to the lower end, with spring constant k. An object of mass m is attached to the lower end of the second spring.
(a) By how much does the pair of springs stretch? (Use the following as necessary: k₁, k₂, m, and g, the gravitational acceleration.)
Xtotal
(b) What is the effective spring constant of the spring system? (Use the following as necessary: k₁, k₂, m, and g, the gravitational acceleration.)
Keff
(c) What If? Two identical light springs with spring constant k3 are now individually hung vertically from the ceiling and attached at each end of a symmetric object, such as a rectangular block with uniform mass density. In this case, with the springs next to each other, we describe them
as being in parallel. Find the effective spring constant of the pair of springs as a system in this situation in terms of k3. (Use the following as necessary: k3, M, the mass of the symmetric…
A object of mass 3.00 kg is subject to a force FX that varies with position as in the figure below.
Fx (N)
4
3
2
1
x(m)
2 4 6 8 10 12 14 16 18 20
i
(a) Find the work done by the force on the object as it moves from x = 0 to x = 5.00 m.
J
(b) Find the work done by the force on the object as it moves from x
= 5.00 m to x = 11.0 m.
]
(c) Find the work done by the force on the object as it moves from x = 11.0 m to x = 18.0 m.
J
(d) If the object has a speed of 0.400 m/s at x = 0, find its speed at x = 5.00 m and its speed at x
speed at x = 5.00 m
speed at x = 18.0 m
m/s
m/s
=
18.0 m.
A crate with a mass of 74.0 kg is pulled up an inclined surface by an attached cable, which is driven by a motor. The crate moves a distance of 70.0 m along the surface at a constant speed of 3.3 m/s. The surface is inclined at an angle of 30.0° with the horizontal. Assume friction is
negligible.
(a) How much work (in kJ) is required to pull the crate up the incline?
kJ
(b) What power (expressed in hp) must a motor have to perform this task?
hp
Chapter 29 Solutions
Physics
Ch. 29.1 - Prob. 29.1CPCh. 29.1 - Prob. 29.1PPCh. 29.1 - Prob. 29.2PPCh. 29.1 - Prob. 29.3PPCh. 29.2 - Prob. 29.4PPCh. 29.3 - Prob. 29.5PPCh. 29.3 - Prob. 29.6PPCh. 29.3 - Prob. 29.7PPCh. 29.4 - Prob. 29.4CPCh. 29.4 - Prob. 29.8PP
Ch. 29.4 - Practice Problem 29.9 The Age of Ötzi
In 1991, a...Ch. 29.4 - Prob. 29.10PPCh. 29.5 - Prob. 29.11PPCh. 29.6 - Prob. 29.6CPCh. 29.6 - Prob. 29.12PPCh. 29.7 - Prob. 29.13PPCh. 29.8 - Prob. 29.14PPCh. 29 - Prob. 1CQCh. 29 - Prob. 2CQCh. 29 - Prob. 3CQCh. 29 - Prob. 4CQCh. 29 - Prob. 5CQCh. 29 - Prob. 6CQCh. 29 - Prob. 7CQCh. 29 - Prob. 8CQCh. 29 - Prob. 9CQCh. 29 - Prob. 10CQCh. 29 - Prob. 11CQCh. 29 - Prob. 12CQCh. 29 - Prob. 13CQCh. 29 - Prob. 14CQCh. 29 - Prob. 1MCQCh. 29 - Prob. 2MCQCh. 29 - Prob. 3MCQCh. 29 - Prob. 4MCQCh. 29 - Prob. 5MCQCh. 29 - Prob. 6MCQCh. 29 - Prob. 7MCQCh. 29 - Prob. 8MCQCh. 29 - Prob. 9MCQCh. 29 - Prob. 10MCQCh. 29 - Prob. 1PCh. 29 - Prob. 2PCh. 29 - Prob. 3PCh. 29 - Prob. 4PCh. 29 - Prob. 5PCh. 29 - Prob. 6PCh. 29 - Prob. 7PCh. 29 - Prob. 8PCh. 29 - Prob. 9PCh. 29 - Prob. 10PCh. 29 - Prob. 11PCh. 29 - Prob. 12PCh. 29 - Prob. 13PCh. 29 - Prob. 14PCh. 29 - Prob. 15PCh. 29 - Prob. 16PCh. 29 - Prob. 17PCh. 29 - Prob. 18PCh. 29 - Prob. 19PCh. 29 - Prob. 20PCh. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - Prob. 23PCh. 29 - Prob. 24PCh. 29 - Prob. 25PCh. 29 - Prob. 26PCh. 29 - Prob. 27PCh. 29 - Prob. 28PCh. 29 - Prob. 29PCh. 29 - Prob. 30PCh. 29 - Prob. 31PCh. 29 - Prob. 32PCh. 29 - Prob. 33PCh. 29 - Prob. 34PCh. 29 - Prob. 35PCh. 29 - Prob. 36PCh. 29 - Prob. 37PCh. 29 - Prob. 38PCh. 29 - Prob. 39PCh. 29 - Prob. 40PCh. 29 - Prob. 41PCh. 29 - Prob. 42PCh. 29 - Prob. 43PCh. 29 - Prob. 44PCh. 29 - Prob. 45PCh. 29 - Prob. 46PCh. 29 - Prob. 47PCh. 29 - Prob. 48PCh. 29 - Prob. 49PCh. 29 - Prob. 50PCh. 29 - Prob. 52PCh. 29 - Prob. 51PCh. 29 - Prob. 53PCh. 29 - Prob. 54PCh. 29 - Prob. 55PCh. 29 - Prob. 56PCh. 29 - Prob. 57PCh. 29 - Prob. 58PCh. 29 - Prob. 59PCh. 29 - Prob. 60PCh. 29 - Prob. 61PCh. 29 - Prob. 62PCh. 29 - Prob. 63PCh. 29 - Prob. 64PCh. 29 - Prob. 65PCh. 29 - Prob. 66PCh. 29 - Prob. 67PCh. 29 - Prob. 68PCh. 29 - Prob. 69PCh. 29 - Prob. 70PCh. 29 - Prob. 71PCh. 29 - Prob. 72PCh. 29 - Prob. 73PCh. 29 - Prob. 74PCh. 29 - Prob. 75PCh. 29 - Prob. 76PCh. 29 - Prob. 77PCh. 29 - Prob. 78PCh. 29 - Prob. 79PCh. 29 - Prob. 80PCh. 29 - Prob. 81PCh. 29 - Prob. 82PCh. 29 - Prob. 83PCh. 29 - Prob. 84PCh. 29 - Prob. 85PCh. 29 - Prob. 86PCh. 29 - Prob. 87PCh. 29 - Prob. 88PCh. 29 - Prob. 89PCh. 29 - Prob. 90PCh. 29 - Prob. 91PCh. 29 - Prob. 92PCh. 29 - Prob. 93PCh. 29 - Prob. 94P
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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
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- Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance yo, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 5.05 × 105 N/m, the helper spring constant is 3.50 x 105 N/m, and y = 0.500 m. Truck body yo Main leaf spring -"Helper" spring Axle (a) What is the compression of the leaf spring for a load of 6.00 × 105 N? m (b) How much work is done in compressing the springs? ]arrow_forwardA block of mass m₁ = 10.0 kg is connected to a block of mass m₂ 34.0 kg by a massless string that passes over a light, frictionless pulley. The 34.0-kg block is connected to a spring that has negligible mass and a force constant of k = 200 N/m as shown in the figure below. The spring is unstretched when the system is as shown in the figure, and the incline is frictionless. The 10.0-kg block is pulled a distance h = 22.0 cm down the incline of angle = 40.0° and released from rest. Find the speed of each block when the spring is again unstretched. Vm1 × 1.32 Vm2 = 1.32 × m/s m/sarrow_forwardA block of mass m₁ = 10.0 kg is connected to a block of mass m₂ = 34.0 kg by a massless string that passes over a light, frictionless pulley. The 34.0-kg block is connected to a spring that has negligible mass and a force constant of k = 200 N/m as shown in the figure below. The spring is unstretched when the system is as shown in the figure, and the incline is frictionless. The 10.0-kg block is pulled a distance h = 22.0 cm down the incline of angle 0 = 40.0° and released from rest. Find the speed of each block when the spring is again unstretched. m/s Vm1 Vm2 m/s mi m2 k iarrow_forward
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