Matter and Interactions
4th Edition
ISBN: 9781118875865
Author: Ruth W. Chabay, Bruce A. Sherwood
Publisher: WILEY
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Chapter 3, Problem 22P
To determine
Value of gravitational acceleration on Mars.
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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 3 Solutions
Matter and Interactions
Ch. 3.2 - A star exerts a gravitational force of magnitude 4...Ch. 3.2 - At a particular instant Ganymede and Europa, two...Ch. 3.3 - A moving electron passes near the nucleus of a...Ch. 3.4 - A 60 kg person stands on the Earth’s surface. (a)...Ch. 3.5 - Prob. 5CPCh. 3.7 - A moving electron passes near the nucleus of a...Ch. 3.8 - Look at the periodic table on the inside front...Ch. 3.11 - A system consists of a 2 kg block moving with...Ch. 3.12 - You and a friend each hold a lump of wet clay....Ch. 3.14 - Suppose you have four stars with given initial...
Ch. 3 - Prob. 1QCh. 3 - Why is the value of the constant g different on...Ch. 3 - You hold a tennis ball above your head, then open...Ch. 3 - Suppose that you are going to program a computer...Ch. 3 - A bullet traveling horizontally at a very high...Ch. 3 - You hang from a tree branch, then let go and fall...Ch. 3 - One kind of radioactivity is called “alpha decay.”...Ch. 3 - A bowling ball is initially at rest. A Ping-Pong...Ch. 3 - The windshield of a speeding car hits a hovering...Ch. 3 - At a particular instant the magnitude of the...Ch. 3 - Masses M and m attract each other with a...Ch. 3 - A 3 kg ball and a 5 kg ball are 2 m apart, center...Ch. 3 - The mass of the Earth is 6 × 1024 kg, and the mass...Ch. 3 - A star exerts a gravitational force of magnitude...Ch. 3 - A planet exerts a gravitational force of magnitude...Ch. 3 - A moon orbits a planet in the xy plane, as shown...Ch. 3 - The mass of the Sun is 2 × 1030 kg, and the mass...Ch. 3 - Measurements show that Jupiter’s gravitational...Ch. 3 - Prob. 19PCh. 3 - A planet of mass 4 × 1024 kg is at location...Ch. 3 - The mass of Mars is 6.4 × 1023 kg and its radius...Ch. 3 - At what height above the surface of the Earth is...Ch. 3 - Calculate the approximate gravitational force...Ch. 3 - A steel ball of mass m falls from a height h onto...Ch. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - (a) In outer space, far from other objects, block...Ch. 3 - In June 1997 the NEAR spacecraft (“Near Earth...Ch. 3 - Figure 3.60 shows two positively charged objects...Ch. 3 - Figure 3.61 shows two negatively charged objects...Ch. 3 - The left side of Figure 3.62 shows a proton and an...Ch. 3 - An alpha particle contains two protons and two...Ch. 3 - A proton and an electron are separated by 1 ×...Ch. 3 - Prob. 38PCh. 3 - Use data from the inside back cover to calculate...Ch. 3 - At a particular instant a proton exerts an...Ch. 3 - Prob. 41PCh. 3 - At a certain instant object 1 is at location ⟨10,...Ch. 3 - The mass of the Earth is 6 × 1024 kg, the mass of...Ch. 3 - The mass of the Sun is 2 × 1030 kg, the mass of...Ch. 3 - Two rocks are tied together with a string of...Ch. 3 - A tennis ball of mass 0.06 kg traveling at a...Ch. 3 - In outer space, far from other objects, two rocks...Ch. 3 - When they are far apart, the momentum of a proton...Ch. 3 - You and a friend each hold a lump of wet clay....Ch. 3 - A car of mass 2800 kg collides with a truck of...Ch. 3 - A bullet of mass 0.105 kg traveling horizontally...Ch. 3 - In outer space a small rock with mass 5 kg...Ch. 3 - Two rocks collide in outer space. Before the...Ch. 3 - In outer space two rocks collide and stick...Ch. 3 - Prob. 58PCh. 3 - Prob. 60PCh. 3 - A space station has the form of a hoop of radius...
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- A skier of mass 75 kg is pulled up a slope by a motor-driven cable. (a) How much work is required to pull him 50 m up a 30° slope (assumed frictionless) at a constant speed of 2.8 m/s? KJ (b) What power (expressed in hp) must a motor have to perform this task? hparrow_forwardA block of mass 1.4 kg is attached to a horizontal spring that has a force constant 900 N/m as shown in the figure below. The spring is compressed 2.0 cm and is then released from rest. a x = 0 x b (a) A constant friction force of 4.4 N retards the block's motion from the moment it is released. Using an energy approach, find the position x of the block at which its speed is a maximum. cm (b) Explore the effect of an increased friction force of 13.0 N. At what position of the block does its maximum speed occur in this situation? cmarrow_forwardA block of mass m = 3.00 kg situated on a rough incline at an angle of 0 = 37.0° is connected to a spring of negligible mass having a spring constant of 100 N/m (see the figure below). The pulley is frictionelss. The block is released from rest when the spring is unstretched. The block moves 11.0 cm down the incline before coming to rest. Find the coefficient of kinetic friction between block and incline. k=100 N/m Ө marrow_forward
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