COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 5, Problem 35QAP
To determine
Magnitude of the coefficient of kinetic friction between you and the surface of a waterslide
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99. ssm A student presses a book between his hands,
as the drawing indicates. The forces that he exerts on
the front and back covers of the book are perpendicular
to the book and are horizontal. The book weighs 31 N.
The coefficient of static friction between his hands and
the book is 0.40. To keep the book from falling, what is
the magnitude of the minimum pressing force that each
hand must exert?
Estimate the height of a typical playground slide and theangle its surface makes with the horizontal. A child wearing a different sort of clothing than the first child climbs the ladder to the top of the slide, sits on the slide, lets go of the handrail, and remains at rest. What is the minimum possible value for the coefficient of static friction between this child and the surface of the slide?
EXAMPLE 5-11 ESTIMATE Gravity on Everest. Estimate the effective
value of g on the top of Mt. Everest, 8850 m (29,035 ft) above sea level
(Fig. 5-20). That is, what is the acceleration due to gravity of objects allowed to
fall freely at this altitude? Ignore the mass of the mountain itself.
APPROACH The force of gravity (and the acceleration due to gravity g) depends
on the distance from the center of the Earth, so there will be an effective value g
on top of Mt. Everest which will be smaller than g at sea level. We assume the
Earth is a uniform sphere (a reasonable "estimate").
SOLUTION We use Eq. 5-5, with r replaced by r = 6380 km + 8.9 km
6389 km
6.389 x 106 m:
(6.67 x 10-11 N-m2/kg²)(5.98 x 1024 kg)
(6.389 x 10° m)
which is a reduction of about 3 parts in a thousand (0.3%).
ME
8 = G-
= 9.77 m/s,
%3D
%3D
How many Significant Figures are in the answer?
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Chapter 5 Solutions
COLLEGE PHYSICS
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- A 0.500-kg potato is fired at an angle of 80.0 above the horizontal from a PVC pipe used as a “potato gun” and reaches a height of 110.0 m. (a) Neglecting air resistance, calculate the potato’s velocity when it leaves the gun. (b) The gun itself is a tube 0.430 m long. Calculate the average acceleration of the potato in the tube as it goes from zero to the velocity found in (a). (c) What is the average force on the potato in the gun? Express your answer in newtons and as a ratio to the weight of the potato.arrow_forwardLisa measured the coefficient of static friction between two pairs of running shoes and the track in Example 6.1 (page 159). If she wants to have an advantage in a race, which shoes should she wear, the ones with a high coefficient or the ones with the low coefficient of static friction? Explain.arrow_forwardThe drag coefficient C in FD=12CAv2 (Eq. 6.5) depends primarily on the shape of the object. You already have developed an intuition about what shapes correspond to a low C by observing the shapes of aerodynamic cars, boats, and even bullets. Which object, a sphere or a cube, would have a larger drag coefficient, assuming they are nearly the same size? Explain your reasoning. What aspect of an object most determines its drag coefficient?arrow_forward
- An automobile driver traveling down an 8% grade slams on his brakes and skids 30 m before hitting a parked car. A lawyer hires an expert who measures the coefficient of kinetic friction between the tires and road to be k = 0.45. Is the lawyer correct to accuse the driver of exceeding the 25-MPH speed limit? Explain.arrow_forwardYour sailboat has capsized! Fortunately, you are no longer aboard the boat. Instead, you are hanging onto the end of a long rope, the other end of which is attached to a Coast Guard helicopter. Model yourself as a particle of mass M = 55.0 kg with a diameter equal to 0.500 m. The density of the air is = 1.29 kg/m3. Assume the drag coefficient between you and the air is C = 0.500. a. First, ignore the drag force due to the air. If the helicopter is flying at a constant speed v0 = 35.0 m/s, what angle will the rope make with the vertical? b. Now, consider the drag force due to the air. What angle does the rope make with the vertical given the information in part (a)?arrow_forward(a) Estimate the terminal speed of a wooden sphere (density 0.830 g/cm3) falling through air, taking its radius as 8.00 cm and its drag coefficient as 0.500. (b) From what height would a freely falling object reach this speed in the absence of air resistance?arrow_forward
- 71 SSM Figure 5-60 shows a box of dirty money (mass m = 3.0 kg) on a frictionless plane inclined at angle 6, = 30°. The box is con- nected via a cord of negligible mass to a box of laundered money (mass m; = 2.0 kg) on a frictionless plane inclined at angle Oz = 60°. The pulley is frictionless and has negligible mass. What is the ten- sion in the cord? Figure 5-60 Problem 71.arrow_forward•9 0 A 3.5 kg block is pushed along a horizontal floor by a force F of magnitude 15 N at an angle e = 40° with the horizontal (Fig. 6-19). The coefficient of ki- netic friction between the block Flg. 6-19 Problems 9 and 32. and the floor is 0.25. Calculate the magnitudes of (a) the frictional force on the block from the floor and (b) the block's accelération. •10 Figuré 6-20 shows an initially. stationary block of mass m on a floor. A force of magnitude 0.500mg is then applied at upward angle e= 20°. What is the magni- tude of the acceleration of the Flg. 6-20 Problem 10. www. block across the floor if the friction coefficients are (a) u, = 0.600 and u = 0.500 and (b) , = 0.400 and 4 0.300?arrow_forward8-63. Determine the smallest force P that will cause impending motion. The crate and wheel have a mass of 50 kg and 25 kg, respectively. The coefficient of static friction between the crate and the ground is , = 0.2, and between the wheel and the ground, = 0.5. *8-64. Determine the smallest force P that will cause impending motion. The crate and wheel have a mass of 50 kg and 25 kg. respectively. The coefficient of static friction between the crate and the ground is , = 0.5, and between the wheel and the ground μ = 0.3. O O O 127 10 L C A 300 mmarrow_forward
- In a pickup game of dorm shuffleboard, students crazed by final exams use a broom to propel a calculus book along the dorm hallway. If the 3.5 kg book is pushed from rest through a distance of 0.83 m by the horizontal 31 N force from the broom and then has a speed of 1.0 m/s, what is the coefficient of kinetic friction between the book and floor? Number Unitsarrow_forward*49. ssm A person is trying to judge whether a picture (mass = 1.10 kg) is properly positioned by temporarily pressing it against a wall. The press- ing force is perpendicular to the wall. The coefficient of static friction between the picture and the wall is 0.660. What is the minimum amount of pressing force that must be used?arrow_forwardQuestion 7 A 81.17 kg crate is on a frictionless surface inclined at an angle of 0 = 28.64°. A constant external force, P, is applied horizontally to the crate such that it moves a distance of 3.00 m up the incline at constant speed. What is the magnitude of the force P? (740) %3D P. 3.0 m A) O1303.27 N B) O381.27 N C) 0434.42 N D) O14.09 N E) 698.14 N Review Laterarrow_forward
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