Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 2, Problem 48SP
Prove that a gun will shoot three times as high when its angle of elevation is
when it is 30°, but the bullet will travel the same horizontal distance.
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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
m2
k
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 2 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 2 - 2.22 [I] A car traveling at 30.0 mph uniformly...Ch. 2 - 2.23 [I] People working for National Geographic...Ch. 2 - 2.24 [I] With the previous problem in mind,...Ch. 2 - 2.25 [I] If a vehicle accelerates at 10.0 m/s2...Ch. 2 - 2.26 [I] A drone on a runway accelerates from...Ch. 2 - 2.27 [I] For the object whose motion is plotted...Ch. 2 - 2.28 [I] A body with initial velocity 8.0 m/s...Ch. 2 - 2.29 [I] A truck starts from rest and moves with...Ch. 2 - 2.30 [I] A box slides down an incline with...Ch. 2 - 2.31 [I] A car is accelerating uniformly as it...
Ch. 2 - 2.32 [I] An auto’s velocity increases uniformly...Ch. 2 - 2.33 [I] A plane starts from rest and accelerates...Ch. 2 - 2.34 [I] A train running along a straight track...Ch. 2 - 2.35 [II] An object moving at 13 m/s slows...Ch. 2 - 2.36 [I] A body falls freely from rest. Find (a)...Ch. 2 - 2.37 [I] A marble dropped from a bridge strikes...Ch. 2 - 2.38 [II] A stone is thrown straight downward with...Ch. 2 - 2.39 [II] A baseball is thrown straight upward...Ch. 2 - 2.40 [II] A bottle dropped from a balloon reaches...Ch. 2 - 2.41 [II] Two balls are dropped to the ground from...Ch. 2 - 2.42 [II] A nut comes loose from a bolt on the...Ch. 2 - 2.43 [I] A marble, rolling with speed 20 cm/s,...Ch. 2 - 2.44 [II] A body projected upward from the level...Ch. 2 - 2.45 [III] A body is projected downward at an...Ch. 2 - 2.46 [II] A hose lying on the ground shoots a...Ch. 2 - 2.47 [II] A World Series batter hits a home run...Ch. 2 - 2.48 [II] Prove that a gun will shoot three times...Ch. 2 - 2.49 [III] A ball is thrown upward at an angle of ...Ch. 2 - 2.50 [III] A ball is thrown straight upward with...
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