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Openstax - College Physics 1/e (Homework)

James Finch

Physics - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 54 / 60

Due : Monday, January 28, 2030 00:00 EST

Last Saved : n/a Saving...  ()

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1. –/2 points OSColPhys1 4.7.042. My Notes
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A 87.0 kg person is being pulled away from a burning building as shown in Figure 4.27. Calculate the tension in the first rope, T1, if the person is momentarily motionless.
N
Calculate the tension in the second rope, T2, if the person is momentarily motionless.
N


Figure 4.27

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2. –/3 points OSColPhys1 5.1.013. My Notes
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1 2 3
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–/3
 
Calculate the maximum deceleration of a car that is heading down a 11° slope (one that makes an angle of 11° with the horizontal) under the following road conditions. You may assume that the weight of the car is evenly distributed on all four tires and that the static coefficient of friction is involved--that is, the tires are not allowed to slip during the deceleration.
(a) on dry concrete
m/s2
(b) on wet concrete
m/s2
(c) on ice, assuming that µs = 0.100, the same as for shoes on ice
m/s2

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3. –/2 points OSColPhys1 5.1.019. My Notes
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1 2
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–/2
 
A contestant in a winter games event pushes a 51.0 kg block of ice across a frozen lake with a rope over his shoulder as shown in Figure 4.29(b). The coefficient of static friction is 0.1 and the coefficient of kinetic friction is 0.03.

Figure 4.29
(a) Calculate the minimum force F he must exert to get the block moving.
N
(b) What is its acceleration once it starts to move, if that force is maintained?
m/s2

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4. –/3 points OSColPhys1 6.3.031. My Notes
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–/3
 
Modern roller coasters have vertical loops like the one shown in Figure 8.32. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats.

Figure 8.32
(a) What is the speed of the roller coaster at the top of the loop if the radius of curvature there is 11.0 m and the downward acceleration of the car is 1.50 g?
m/s
(b) How high above the top of the loop must the roller coaster start from rest, assuming negligible friction?
m
(c) If it actually starts 5.00 m higher than your answer to the previous part, how much energy did it lose to friction? Its mass is 1500 kg.
J

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–/3
 
A 2500 kg cannon is mounted so that it can recoil only in the horizontal direction.
(a) Calculate the magnitude of its recoil velocity when it fires a 15.0 kg shell at 480 m/s at an angle of 20.0° above the horizontal.
m/s
(b) What is the kinetic energy of the cannon? This energy is dissipated as heat in the shock absorbers that stop its recoil.
J
(c) What happens to the vertical component of momentum that is imparted to the cannon when it is fired?

This answer has not been graded yet.

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6. –/2 points OSColPhys1 2.P.002. My Notes
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–/2
 
Find the following for the path in the figure below.
(a) the total distance traveled
m

(b) the displacement from start to finish
m

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7. –/3 points OSColPhys1 2.P.016.tutorial. My Notes
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–/3
 
A remote controlled toy car starts from rest and begins to accelerate in a straight line. The figure below represents "snapshots" of the car's position at equal 0.5 s time intervals. (Assume the positive direction is to the right. Indicate the direction with the sign of your answer.)
(a) What is the car's average velocity in the interval between t = 1.0 s to t = 1.5 s?
m/s

(b) Using data from t = 1.0 s to t = 2.0 s, what is the car's acceleration at t = 1.5 s?
m/s2

(c) Is the car's speed increasing or decreasing with time?
    
Tutorial

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8. –/3 points OSColPhys1 2.P.029.tutorial. My Notes
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–/3
 
You toss a tennis ball straight upward. At the moment it leaves your hand it is at a height of 1.5 m above the ground, and it is moving at a speed of 8.2 m/s.
(a) How much time does it take for the tennis ball to reach its maximum height?
s

(b) What is the maximum height above the ground that the tennis ball reaches?
m

(c) When the tennis ball is at a height of 2.4 m above the ground, what is its speed?
m/s
Tutorial

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9. –/10 points OSColPhys1 2.P.043. My Notes
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An athlete is training on a 100 m long linear track. His motion is described by the graph of his position vs. time, below.
WebAssign Plot
(a) For each segment of the graph, find the magnitude and direction of the athlete's velocity.
magnitude vA     m/s
direction vA    
magnitude vB     m/s
direction vB    
magnitude vC     m/s
direction vC    
magnitude vD     m/s
direction vD    

(b) What are the magnitude and direction of the athlete's average velocity over the entire 60 s interval?
magnitude     m/s
direction    

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10. –/4 points OSColPhys1 4.P.004. My Notes
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–/4
 
The diagrams below show different objects of equal masses that are acted on by one or more forces. In the diagrams below, each force vector labeled
F
 has the same magnitude.
WebAssign Plot WebAssign Plot
WebAssign Plot WebAssign Plot
(a) Which of the four objects shown has a net zero force acting on it?
    

(b) Which object or objects have the largest magnitude of force? (Select all that apply.)


(c) Which object or objects move with constant velocity? (Select all that apply.)


(d) Which object or objects move with changing speed? (Select all that apply.)

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11. –/3 points OSColPhys1 4.P.024. My Notes
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–/3
 
In each of the diagrams below, one or more external forces act on the indicated system. Which of the forces listed below are the reaction to the external force mentioned? (Select all that apply.)
(a) the mower exerts a force


(b) the Moon exerts a force


(c) the negatively charged electron (labeled e in the diagram) exerts a force




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12. –/3 points OSColPhys1 4.P.027.Tutorial. My Notes
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–/3
 
A 80-kg man stands on a bathroom scale inside an elevator.
(a) The elevator accelerates upward from rest at a rate of 1.35 m/s2 for 1.50 s. What does the scale read during this 1.50 s interval?
N

(b) The elevator continues upward at constant velocity for 8.50 s. What does the scale read now?
N

(c) While still moving upward, the elevator's speed decreases at a rate of 0.750 m/s2 for 3.00 s. What is the scale reading during this time?
N
Tutorial

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13. –/4 points OSColPhys1 4.P.032. My Notes
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1 2 3 4
–/1 –/1 –/1 –/1
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–/4
 
The three diagrams below show a block of mass m being pulled or pushed at constant velocity along a table with a force
P.
 Assume the surfaces to be frictionless.
(a) What is the magnitude of the normal force in each case? Use the following as necessary: g, P, and θ.
case (i)    N = 
case (ii)    N = 
case (iii)    N = 


(b) How would your answer to part (a) change if, all else being the same, the object moved with constant acceleration?
    

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14. –/3 points OSColPhys1 4.P.049. My Notes
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–/3
 
(a) A block of mass m = 7.50 kg is suspended as shown in the diagram below. Assume the pulley to be frictionless and the mass of the strings to be negligible. If the system is in equilibrium, what will be the reading of the spring scale in newtons?
N

(b) Two blocks each of mass m = 7.50 kg are connected as shown in the diagram below. Assume the pulley to be frictionless and the mass of the strings to be negligible. If the system is in equilibrium, what will be the reading of the spring scale in newtons?
N

(c) A block of mass m = 7.50 kg is in equilibrium on an incline plane of angle θ = 29.0° when connected as shown in the diagram below. Assume the mass of the strings to be negligible. If the system is in equilibrium, what will be the reading of the spring scale in newtons?
N

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15. –/4 points OSColPhys1 7.P.025. My Notes
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–/1 –/1 –/1 –/1
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–/4
 
A warehouse worker is pushing a 90.0-kg crate with a horizontal force of 294 N at a speed of v = 0.860 m/s across the warehouse floor. He encounters a rough horizontal section of the floor that is 0.75 m long and where the coefficient of kinetic friction between the crate and floor is 0.359.
(a) Determine the magnitude and direction of the net force acting on the crate while it is pushed over the rough section of the floor.
magnitude     N
direction    

(b) Determine the net work done on the crate while it is pushed over the rough section of the floor.
J

(c) Find the speed of the crate when it reaches the end of the rough surface.
m/s

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–/3
 
As shown in the figure below, a box of mass
m = 13.5 kg
 is released from rest (at position A) at the top of a 30.0° frictionless incline. The box slides a distance
d = 4.10 m
 down the incline before it encounters (at position B) a spring and compresses it an amount
xC = 0.250 m
 (to point C) before coming momentarily to rest. Using energy content, determine the following.
(a) speed of the box at position B
vB = m/s


(b) spring constant
k = N/m


(c) the physical quantity that is constant throughout the process
    
Tutorial

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–/4
 
A 1.1-kg mass starts from rest at point A and moves along the x axis subject to the potential energy shown in the figure below.
(a) Determine the speed of the mass at points B, C, D.
point B      m/s
point C      m/s
point D      m/s

(b) Determine the turning points for the mass. (Select all that apply.)

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–/1
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–/1
 
As shown in the figure below, a 2.25-kg block is released from rest on a ramp of height h. When the block is released, it slides without friction to the bottom of the ramp, and then continues across a surface that is frictionless except for a rough patch of width 15.0 cm that has a coefficient of kinetic friction μk = 0.770. Find h such that the block's speed after crossing the rough patch is 3.70 m/s.
m

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