College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- Write Newton's laws for a static system (1) EF, = mg sin 0 – µ̟n = 0 in component form. The gravity force has two components. (2) EF, = n - mg cos 0 = 0 Rearrange Equation (2) to get an n = mg cos e expression for the normal force n. Substitute the expression for n into EF, = mg sin 0 – µ̟mgcos 0 = 0 → tan 0 =µ, Equation (1) and solve for tan 0. Apply the inverse tangent function to tan 0 = 0.350 → 0 = tan 1 (0.350) = 19.3° get the answer. LEARN MORE REMARKS It's interesting that the final result depends only on the coefficient of static friction. Notice also how similar Equations (1) and (2) are to the equations developed in previous problems. Recognizing such patterns is key to solving problems successfully. QUESTION A larger static friction constant would result in a: (Select all that apply.) O larger component of normal force at the maximum angle. O larger component of gravitational force along the ramp at the maximum angle. smaller component of gravitational force along the ramp…arrow_forwardplease help answer, Im not sure what im doing wrongarrow_forwardCrates A and B have equal mass. Crate A is at rest on an incline that makes and angle of theta = 22.22 degrees horizontal, while crate B is at rest on a horizontal surface. Write an expression for the ratio fo the normal forces, A to B in terms of theta?arrow_forward
- V F Resolve the force F into components along the u and v axes, and determine the magnitudes of these components. Given that F = 35 N, a = 16° , and ß = 32°, the magnitude along u is (round to one decimal place) : N the magnitude along v is (round to one decimal place) : Narrow_forwardProblem 6: The force exerted by the wind on the sails of a sailboat is 390 N north. The water exerts a force of 180 N east. If the boat (including its crew) has a mass of 270 kg, what are the magnitude and direction of its acceleration?arrow_forwardThe nucleus of 8 Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons). (a) What is the force between the two alpha particles when they are 5.00 × 10−15 m apart, and (b) what is the initial magnitude of the acceleration of the alpha particles due to this force? Note that the mass of an alpha particle is 4.002 6 u.arrow_forward
- The nucleus of Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons). (a) What is the force between the two alpha particles when they are 3.00 x 10-15 m apart? N (b) What is the initial magnitude of the acceleration of the alpha particles due to this force? Note that the mass of an alpha particle is 4.0026 u. m/s²arrow_forwardThe nucleus of Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons). (a) What is the force between the two alpha particles when they are 3.16 x 10-15 m apart? N (b) What is the initial magnitude of the acceleration of the alpha particles due to this force? Note that the mass of an alpha particle is 4.0026 u. m/s2arrow_forwardConsider the four forces to be in equilibrium. The force F2 has a magnitude of 70.0 N and is in the negative x-direction. The force F3 is in the positive y direction. The force F1 makes an angle =25.0o with respect to the positive z-axis. When projected onto the xy plane the force F1 makes and angle of =32.0o with respect to the positive x-axis. What is the magnitude of the force F4 if it is in the negative z-direction? Give your answer in Newton'sarrow_forward
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