Essential University Physics
4th Edition
ISBN: 9780134988559
Author: Wolfson, Richard
Publisher: Pearson Education,
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Textbook Question
Chapter 4, Problem 53P
Biophysicists use an arrangement of laser beams called optical tweezers to manipulate microscopic objects. In a particular experiment, optical tweezers exerting a force of 0.373 pN were used to stretch a DNA molecule by 2.30μm. What was the spring constant of the DNA?
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Students have asked these similar questions
A 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/s
A 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
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i
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 in the figure below. The helper spring engages when the main leaf spring is compressed by distance yo, and then helps to
support any additional load. Consider a leaf spring constant of 5.45 × 105 N/m, helper spring constant of 3.60 × 105 N/m, and y = 0.500 m.
Truck body
Dyo
Axle
(a) What is the compression of the leaf spring for a load of 4.90 × 105 N?
m
(b) How much work is done compressing the springs?
]
Chapter 4 Solutions
Essential University Physics
Ch. 4.2 - A curved barrier lies on a horizontal tabletop, as...Ch. 4.2 - A nonzero net force acts on an object. Which of...Ch. 4.4 - A popular childrens book explains the...Ch. 4.5 - For each of the following situations, would the...Ch. 4.6 - The figure shows two blocks with two forces acting...Ch. 4.6 - (1) Would the answer to (a) in Example 4.5 change...Ch. 4 - Distinguish the Aristotelian and Galilean/New...Ch. 4 - A ball bounces off a wall with the same speed it...Ch. 4 - We often use the term inertia to describe human...Ch. 4 - Does a body necessarily move in the direction of...
Ch. 4 - A truck crashes into a stalled car. A student...Ch. 4 - A barefoot astronaut kicks a ball, hard, across a...Ch. 4 - In paddling a canoe, you push water backward with...Ch. 4 - Is it possible for a nonzero net force to act on...Ch. 4 - As your plane accelerates down the runway, you...Ch. 4 - A driver tells passengers to buckle their...Ch. 4 - Section 4.2 Newtons First and Second Laws A subway...Ch. 4 - Prob. 12ECh. 4 - A small plane accelerates down the runway at 7.2...Ch. 4 - A car leaves the road traveling at 110 km/h and...Ch. 4 - Kinesin is a motor protein responsible for moving...Ch. 4 - Starting from rest and undergoing constant...Ch. 4 - In an egg-dropping contest, a student encases an...Ch. 4 - In a front-end collision, a 1300-kg car with...Ch. 4 - Show that the units of acceleration can be written...Ch. 4 - Your spaceship crashes on one of the Suns planets....Ch. 4 - Your friend can barely lift a 35-kg concrete block...Ch. 4 - A cereal box says net weight 340 grams. Whats the...Ch. 4 - Youre a safely engineer for a bridge spanning the...Ch. 4 - The gravitational acceleration at the...Ch. 4 - A 50-kg parachutist descends at a steady 40 km/h....Ch. 4 - A 930-kg motorboat accelerates away from a dock at...Ch. 4 - An elevator accelerates downward at 2.4 m/s2. What...Ch. 4 - At 560 metric tons, the Airbus A-380 is the worlds...Ch. 4 - Find an expression for the thrust (force) of a...Ch. 4 - You slop into an elevator, and it accelerates to a...Ch. 4 - What upward gravitational force does a 5600-kg...Ch. 4 - Your friends mass is 65 kg. If she jumps off a...Ch. 4 - What force is necessary to stretch a spring 48 cm,...Ch. 4 - A 35-N force is applied to a spring with spring...Ch. 4 - A spring with spring constant k = 340 N/m is used...Ch. 4 - Prob. 36ECh. 4 - Prob. 37ECh. 4 - Prob. 38ECh. 4 - Prob. 39ECh. 4 - Prob. 40ECh. 4 - Prob. 41ECh. 4 - Example 4.3: In the 2015 film The Martian, actor...Ch. 4 - Prob. 43ECh. 4 - A 166-g hockey puck is gliding across the ice at...Ch. 4 - An airplane encounters sudden turbulence, and you...Ch. 4 - A 74-kg tree surgeon rides a cherry picker lift to...Ch. 4 - A dancer executes a vertical jump during which the...Ch. 4 - Find expressions for the force needed to bring an...Ch. 4 - An elevator moves upward at 5.2 m/s. Whats its...Ch. 4 - A 2.50-kg object is moving along the x-axis at...Ch. 4 - Blocks of 1.0, 2.0, and 3.0 kg are lined up on a...Ch. 4 - A child pulls an 11-kg wagon with a horizontal...Ch. 4 - Biophysicists use an arrangement of laser beams...Ch. 4 - A force F is applied to a spring of spring...Ch. 4 - A 22(M)-kg airplane pulls two gliders, the first...Ch. 4 - A biologist is studying the growth of rats on the...Ch. 4 - A small car, with mass 945 kg, is stuck on...Ch. 4 - A 2.0-kg mass and a 3.0-kg mass are on a...Ch. 4 - Youre an automotive engineer designing the crumple...Ch. 4 - Frogs tongues dart out to catch insects, with...Ch. 4 - Two large crates, with masses 640 kg and 490 kg,...Ch. 4 - Your engineering firm is asked to specify the...Ch. 4 - With its fuel tanks half full, an F-35A jet...Ch. 4 - Two springs have the same unstretched length but...Ch. 4 - Although we usually write Newtons second law for...Ch. 4 - A railroad car is being pulled beneath a grain...Ch. 4 - A block 20% more massive than you hangs from a...Ch. 4 - Figure 4.27 shows vertical accelerometer data from...Ch. 4 - A hockey stick is in contact with a 165-g puck for...Ch. 4 - After parachuting through the Martian atmosphere,...Ch. 4 - Your airplane is caught in a brief, violent...Ch. 4 -
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