Experimental Determination of coefficient of static Friction A cube of mass 12.0 kg sits on a horizontal surface. To estimate the coefficient of static friction, you apply a steadily increasing horizontal force and note its value just before the box begins to slide on the surface. When the horizontal force is 68.0 N, the cube begins to slide. What is the coefficient of static friction between the surfaces?
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Component-Free solution for Motion on a Frictionless incline A crate of mass m is placed on a frictionless surface that is inclined at an angle θ to the horizontal (see Figure 5-26). Use a component-free technique to find the acceleration of the mass, as well as the normal force between the crate and the incline.
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Adding Forces Calculate the net force on the object of Figure 5-8. Give the magnitude of the net force and the angle it makes with the direction of F ⃗_1. If the mass of the block is 20.0 kg, what is the acceleration of the mass? (Assume no other forces, such as gravitation, are present.)
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Average Force of a Bat on a Baseball A baseball bat is in contact with a ball for 0.800 ms. If the baseball was travelling at 40.0 m/s before striking the bat and leaves the bat at a speed of 48.0 m/s, what must be the average force exerted by the bat on the ball? Assume that the ball leaves the bat in the exact opposite direction to the arrival direction. The mass of a baseball is 145 g.
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Average Force on hand from a Serve A volleyball player serves a 249 g volleyball at a speed of 90.0 km/h. Assuming that the player’s hand contacts the ball for 42.0 ms, find the average force exerted by the ball on the player’s hand during that time.
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Normal Forces between Blocks Block 1 in Figure 5-22 has a mass of 2.00 kg, and block 2 has a mass of 8.00 kg. The two blocks are sitting on a horizontal frictionless surface. You push block 1 with a horizontal forceF ⃗, of magnitude 135 N directed to the right. Find the normal forces the blocks exert on one another, and verify that they are equal in magnitude, as predicted by Newton’s third law. You now change the direction of the force and push block 2 to the left with a 135 N force. Find the normal force now present between the blocks.
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Towing Tension Three masses (m1 5 20.0 kg, m2 5 50.0 kg, and m3 5 30.0 kg), resting on a horizontal frictionless surface, are connected by ideal massless taut ropes (see Figure 5-18). A horizontal force,F ⃗, of 225 N is exerted on m3 to the right. Find the tension in the rope connecting m1 and m2. Find the tension in the rope connecting m2 and m3.
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Simple Rope and Pulley system An 8.00 kg mass (m1) is resting on a horizontal frictionless surface. A massless rope that runs over a frictionless, massless pulley connects m1 to a vertically hanging 6.00 kg mass (m2), as shown in Figure 5-14. The two-mass system is initially at rest. Find the acceleration of m1 and the tension in the rope.