Physics Laboratory Experiments
8th Edition
ISBN: 9781285738567
Author: Jerry D. Wilson, Cecilia A. Hernández-Hall
Publisher: Cengage Learning
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Chapter 8, Problem 3ASA
Show that Newton’s second law can be written in the form
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Chapter 8 Solutions
Physics Laboratory Experiments
Ch. 8 - Prob. 1ASACh. 8 - What is the condition for the conservation of...Ch. 8 - Show that Newtons second law can be written in the...Ch. 8 - Is the conservation of linear momentum consistent...Ch. 8 - In a system of particles for which the total...Ch. 8 - Suppose that a particle of mass m1 approaches a...Ch. 8 - Do the results of the experiment support the...Ch. 8 - Prob. 2QCh. 8 - In Cases 1 and 2, one of the cars was initially at...Ch. 8 - Prob. 4Q
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- A rod of length L0 moving with a speed v along the horizontal direction makes an angle 0 with respect to the x axis. (a) Show that the length of the rod as measured by a stationary observer is L = L0[1 (v2/c2)cos2 0]1/2. (b) Show that the angle that the rod makes with the x axis is given by tan = tan 0. These results show that the rod is both contracted and rotated. (Take the lower end of the rod to be at the origin of the primed coordinate system.)arrow_forwardAs measured by observers in a reference frame S, a particle having charge q moves with velocity v in a magnetic field B and an electric field E. The resulting force on the particle is then measured to be F = q(E + v × B). Another observer moves along with the charged particle and measures its charge to be q also but measures the electric field to be E′. If both observers are to measure the same force, F, show that E′ = E + v × B.arrow_forwardAn object is made of glass and has the shape of a cube 0.11 m on a side, according to an observer at rest relative to it. However, an observer moving at high speed parallel to one of the object's edges and knowing that the object's mass is 3.6 kg determines its density to be 8700 kg/m3, which is much greater than the density of glass. What is the moving observer's speed (in units of c) relative to the cube?arrow_forward
- A particle moving at speed 0.40c has momentum p0 . The speed of the particle is increased to 0.80c. Its momentum is nowA. Less than 2p0 B. Exactly 2p0 C. Greater than 2p0arrow_forwardCan a particle be in equilibrium in a non-inertial frame?arrow_forwardA particle is moving at 0.75c relative to a lab on Earth. By what percentage is the Newtonian expression for its momentum in error? (The percentage error is the difference between the erroneous and correct values, divided by the correct one).arrow_forward
- In an experiment, a particle of mass m is shot with speed v0 against a second resting particle of mass 2m After impact, three particles are observed, where the sketched directions and the following masses and velocities are detected during measurements: m1 = m, v1 = 2v0, v2 = v0/2. Determine m2, m3 and v3.arrow_forwardThe inverse square law of gravitational attraction between two masses m1 and m2 is given by F = −Gm m r / || r ||3 , where r = x i + y j + z k . Show that F is conservative. Find a potential function for F.arrow_forwardProve that there is no work done by the Coriolis pseudoforce acting on a particle moving in a rotating frame. If the Coriolis pseudoforce were the only force acting on a particle, what could you conclude about the particle’s speed in the rotating frame?arrow_forward
- A 2.5 g particle has momentum 5.0×105 kg⋅m/s What is the particle's speed? Express your answer as a fraction of c. v/c =arrow_forwardGive a physical argument showing that it is impossible to accelerate an object of mass m to the speed of light, even with a continuous force acting on it.arrow_forwardA spacecraft is launched from the surface of the Earth with a velocity of 0.600c at an angle of 50.0° above the horizontal, positive x-axis. Another spacecraft is moving past with a velocity of 0.700c in the negative x direction. Determine the magnitude and direction of the velocity of the first spacecraft as measured by the pilot of the second spacecraft.arrow_forward
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