University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Chapter 8, Problem 69AP
A massless spring with force constant
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Chapter 8 Solutions
University Physics Volume 1
Ch. 8 - Check Your understanding In Example 8.1 what are...Ch. 8 - Check Your Understanding What are the values of...Ch. 8 - Check Your Understanding When the length of the...Ch. 8 - Check Your Understanding Suppose the mass in...Ch. 8 - Check Your Understanding A two-dimensional,...Ch. 8 - Check Your Understanding Fend the forces on the...Ch. 8 - Check Your Understanding How high above the bottom...Ch. 8 - Check Your Understanding You probably recall that,...Ch. 8 - Check Your Understanding What potential energy...Ch. 8 - Check Your Understanding Repeat Example 8.10 when...
Ch. 8 - Check Your Understanding Find x(t) for the...Ch. 8 - The kinetic energy of a system must always be...Ch. 8 - The force exerted by a diving board is...Ch. 8 - Describe the gravitational potential energy...Ch. 8 - A couple of soccer balls of equal mass are kiched...Ch. 8 - What is the dominant factor that affects the speed...Ch. 8 - Two people observe a leaf falling from a tree. One...Ch. 8 - What is the physical meaning of a non-conservative...Ch. 8 - A bottle rocket is shot straight up in the air...Ch. 8 - An external force acts on a particle during a trip...Ch. 8 - When a body slides down an inclined plane, does...Ch. 8 - Consider the following scenario. A car for which...Ch. 8 - A dropped ball bounces to one-half its original...Ch. 8 - “ E=K+Uconstant is a special case of the work...Ch. 8 - In a common physics demonstration, a bowling ball...Ch. 8 - A child jumps tip and down on a bed, reaching a...Ch. 8 - Can a non-conservative force increase the...Ch. 8 - Neglecting air resistance, how much would I have...Ch. 8 - A box is dropped onto a spring at its equilibrium...Ch. 8 - Using values from Table 8.1, how many DNA...Ch. 8 - If the energy in fusion bombs were used to supply...Ch. 8 - A camera weighing 10 N falls from a small drone...Ch. 8 - Someone drops a 50 — g pebble off of a docked...Ch. 8 - A cat’s crinkle ball toy of mass 15 g is thrown...Ch. 8 - A force F(x)=(3.0/x)N acts on a particle as it...Ch. 8 - A force F(x)=(5.0x2+7.0x)N acts on a particle as...Ch. 8 - Find the force corresponding to the potential...Ch. 8 - The potential energy function for either one of...Ch. 8 - A particle of mass 2.0 kg moves under the...Ch. 8 - A particle of mass 2.0 kg moves under the...Ch. 8 - A crate on rollers is being pushed without...Ch. 8 - A boy throws a ball of mass 0.25 kg straight...Ch. 8 - A mouse of mass 200 g falls 100 m down a vertical...Ch. 8 - Using energy considerations and assuming...Ch. 8 - A 1.0-kg ball at the end of a 2.0-m string swings...Ch. 8 - Ignoring details associated with friction, extra...Ch. 8 - Tarzan grabs a vine hanging vertically from a tall...Ch. 8 - Assume that the force of a bow on an arrow behaves...Ch. 8 - A 100 — kg man is skiing across level ground at a...Ch. 8 - A sled of mass 70 kg starts from rest and slides...Ch. 8 - A girl on a skateboard (total mass of 40 kg) is...Ch. 8 - A baseball of mass 0.25 kg is hit at home plate...Ch. 8 - A small block of mass in slides without friction...Ch. 8 - The massless spring of a spring gun has a force...Ch. 8 - A small ball is tied to a string and set rotating...Ch. 8 - A mysterious constant force of 10 N acts...Ch. 8 - A single force F(x)=4.0x (in newtons) acts on a...Ch. 8 - A particle of mass 4.0 kg is constrained to move...Ch. 8 - The force on a particle of mass 2.0 kg varies with...Ch. 8 - A 4.0-kg particle moving along the x -axis is...Ch. 8 - A particle of mass 0.50 kg moves along the x -axis...Ch. 8 - (a) Sketch a graph of the potential energy...Ch. 8 - In the cartoon movie Pocahontas...Ch. 8 - In the reality television show “Amazing Race”...Ch. 8 - In the Back to the Future movies...Ch. 8 - In the Hunger Games movie...Ch. 8 - In a “Top Fail” video...Ch. 8 - In a Coyote/Road Runner cartoon clip...Ch. 8 - In an iconic movie scene, Forrest Gump...Ch. 8 - In the movie Monty Python and the Holy Grail...Ch. 8 - A 60.0-kg skier with an initial speed of 12.0 m/s...Ch. 8 - (a) How high a hill can a car coast up (engines...Ch. 8 - A 5.00105kg subway train is brought to a stop from...Ch. 8 - A pogo stick has a spring with a spring constant...Ch. 8 - A block of mass 500 g is attached to a spring of...Ch. 8 - A block of mass 200 g is attached at the end of a...Ch. 8 - A T-shirt cannon launches a shirt at 5.00 m/s from...Ch. 8 - A child (32 kg) jumps up and down on a trampoline....Ch. 8 - Shown below is a box of mass m1 that sits on a...Ch. 8 - A massless spring with force constant k=200N/m...Ch. 8 - A particle of mass 2.0 kg moves under the...Ch. 8 - Block 2 shown below slides along a frictionless...Ch. 8 - A body of mass m and negligible size starts from...Ch. 8 - A mysterious force acts on all particles along a...Ch. 8 - An object of mass 10 kg is released at point A,...Ch. 8 - Shown below is a small ball of mass m attached to...Ch. 8 - A block leaves a frictionless inclined surface...Ch. 8 - A block of mass m, after sliding down a...Ch. 8 - A block of mass 300 g is attached to a spring of...Ch. 8 - Consider a block of mass 0.200 kg attached to a...Ch. 8 - A skier starts from rest and slides downhill. What...Ch. 8 - Repeat the preceding problem, but this time,...Ch. 8 - Two bodies are interacting by a conservative force...Ch. 8 - In an amusement park, a car rolls in a track as...Ch. 8 - A 200-g steel ball is tied to a 2.00m “massless”...Ch. 8 - A 300 g hockey puck is shot across an ice-covered...Ch. 8 - A projectile of mass 2 kg is fired with a speed of...Ch. 8 - An artillery shell is fired at a target 200 m...Ch. 8 - How much energy is lost to a dissipative drag...Ch. 8 - A box slides on a frictionless surface with a...
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- A block of mass m = 2.50 kg is pushed a distance d = 2.20 m along a frictionless, horizontal table by a constant applied force of magnitude F = 16.0 N directed at an angle = 25.0 below the horizontal as shown in Figure P6.3. Determine the work done on the block by (a) the applied force, (b) the normal force exerted by the table, (c) the gravitational force, and (d) the net force on the block. Figure P6.3arrow_forwardA sled of mass 70 kg starts from rest and slides down a 10 incline 80 m long. It then travels for 20 m horizontally before starting back up an 8° incline. It travels 80 m along this incline before coming to rest. What is the magnitude of the net work done on the sled by friction?arrow_forwardThe force acting on a particle varies as shown in Figure P6.14. Find the work done by the force on the particle as it moves (a) from x = 0 to x = 8.00 m, (b) from x = 8.00 m to x= 10.0 m, and (c) from x = 0 to x = 10.0 m.arrow_forward
- In a Coyote/Road Runner cartoon clip (https://openstaxcollege.org/l/21coyroadcarcl), a spring expands quickly and sends the coyote into a rock. If the spring extended 5 m and sent the coyote of mass 20 kg to a speed of 15 m/s, (a) what is the spring constant of this spring? (b) If the coyote were sent vertically into the air with the energy given to him by the spring, how high could he go if there were no non-conservative forces?arrow_forwardA boy starts at rest and slides down a frictionless slide as in Figure P5.64. The bottom of the track is a height h above the ground. The boy then leaves the track horizontally, striking the ground a distance d as shown. Using energy methods, determine the initial height H of the boy in terms of h and d. Figure P5.64arrow_forwardA mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance?arrow_forward
- If the net work done by external forces on a particle is zero, which of the following statements about the particle must be true? (a) Its velocity is zero. (b) Its velocity is decreased. (c) Its velocity is unchanged. (d) Its speed is unchanged. (e) More information is needed.arrow_forwardWhat average power is generated by a 70.0-kg mountain climber who climbs a summit of height 325 m in 95.0 min? (a) 39.1 W (b) 54.6 W (c) 25.5 W (d) 67.0 W (e) 88.4 Warrow_forwardA block of mass 0.250 kg is placed on top of a light, vertical spring of force constant 5 000 N/m and pushed downward so that the spring is compressed by 0.100 m. After the block is released from rest, it travels upward and then leaves the spring. To what maximum height above the point of release does it rise?arrow_forward
- The Flybar high-tech pogo stick is advertised as being capable of launching jumpers up to 6 ft. The ad says that the minimum weight of a jumper is 120 lb and the maximum weight is 250 lb. It also says that the pogo stick uses a patented system of elastometric rubber springs that provides up to 1200 lbs of thrust, something common helical spring sticks simply cannot achieve (rubber has 10 times the energy storing capability of steel). a. Use Figure P8.32 to estimate the maximum compression of the pogo sticks spring. Include the uncertainty in your estimate. b. What is the effective spring constant of the elastometric rubber springs? Comment on the claim that rubber has 10 times the energy-storing capability of steel. c. Check the ads claim that the maximum height a jumper can achieve is 6 ft.arrow_forwardAs a young man, Tarzan climbed up a vine to reach his tree house. As he got older, he decided to build and use a staircase instead. Since the work of the gravitational force mg is path Independent, what did the King of the Apes gain in using stairs?arrow_forwardAs shown in Figure P7.20, a green bead of mass 25 g slides along a straight wire. The length of the wire from point to point is 0.600 m, and point is 0.200 in higher than point . A constant friction force of magnitude 0.025 0 N acts on the bead. (a) If the bead is released from rest at point , what is its speed at point ? (b) A red bead of mass 25 g slides along a curved wire, subject to a friction force with the same constant magnitude as that on the green bead. If the green and red beads are released simultaneously from rest at point , which bead reaches point first? Explain. Figure P7.20arrow_forward
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