1. Grant accelerates a baseball (m= 0.145 kg) 20 m/s² horizontally. The vertical acceleration of the ball is zero in this interest. The force of gravity is the only external force acting on the ball other than the forces Grant exerts on it. a. Draw a free body diagram of the ball. b. How large is the horizontal force Grant exerts on the ball at this instant to cause its 20m/s² horizontal acceleration? c. How large is the vertical force Grant exerts on the ball at this instant?
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- 2. Box 1 (m₁ = 1.8 kg) sits on a frictionless surface that is inclined at an angle from horizontal. It is connected to box 2 (m₂ = 2.4 kg) using a lightweight flexible cord that passes over a lightweight frictionless pulley (see figure). When a vertical force F of magnitude 5.0 N pushes up on box 2, the box has a downward acceleration of 4.5 m/s². Find a. the tension in the connecting cord, and b. the angle of the inclined surface. B mqA 50 kg box is initially at rest on the ground. Which of the following forces forms a force pair with the force of gravity of the Earth acting on the box? (Group of answer choices) a. The normal force of the box pushing on the surface b. The force of gravity of the box acting on the Earth c. The normal force of the surface pushing on the box d. The force of friction from the surface acting on the box3. An elevator is moving downward at 1m/s. It is speeding up, with an acceleration of 3m/s². A block with a weight of 40N sits inside the elevator. a) What direction does the acceleration point? b) What is the mass of the block? c) Draw a force diagram of the block, and fill out the force table for the block below. (There are no horizontal forces so we don't need the x column.) Force d) Solve for any unknown forces on the block. y +y 1m/s
- 4. A block of mass m accelerates up a slope that has friction. a. Draw a free-body diagram for the block indicating all the forces acting on it. (Note that there must be a force acting on the block in order for it to accelerate up the slope.) b. Write down the equations for Newton's 2nd law for both x and y directions. c. Solve for the applied force Fap in terms of the angle of incline 0, mass m, acceleration of the block a, kinetic friction force fr, and acceleration of gravity g.Q4. An 80 kg dog is lying on the floor at rest. The coefficient of kinetic friction between the dog and the floor is μ = 0.2. Ignore static friction. If the dog is pulled by a person with a 200 N force as shown, determine the speed of the dog when t = 3 s. [Do NOT use the equations of motion i.e. Σ F = ma, directly; otherwise your solution to this qustion will receive a zero]. 60⁰ P-200 NA ball is hanging from a bracket fixed to the wall of an elevator. The elevator is accelerating in the upward direction. What is the reaction force (required by the third law of motion) to the force of gravity on the ball? A. (a) The mass of the ball. B. (b) The gravitational pull of the ball on the earth. C. (c) The gravitational pull of the earth on the ball. D. (d) The tension force of the ball on the rope. E. (e) The tension force of the rope on the ball. F. (f) The tension force of the rope on the bracket. G. (g) The force acting on the elevator to accelerate it. H. (h) A force between the elevator and the bracket, acting on one or the other. I. (i) None of the above.
- 3. A block sits on a cart with a tilted top as shown in the figure. There is no friction between the block and the cart. You push the cart so that the block does not slide up or down the slope. What is the acceleration of the cart? Now there is friction between the block and the cart, with a static friction coefficient Hs = 0.2. What is the smallest and largest acceleration the cart can have so that the block doesn't slide relative to the cart? 40 °1. There is no gravity in space because of the lack of air. 2. Neglecting air resistance, all objects (regardless of their mass) accelerate downward on the surface of the Earth at the same rate. 3. The force of gravity on a person on the surface of the Earth is almost the same (within 10% the same) as the force of gravity on a astronaut in orbit 100 km above the surface. 4. An astronaut in orbit around the Earth is weightless because they are always in free-fall. 5. Because the Earth is larger, it pulls harder on the Moon than the Moon pulls on the Earth. Which of the statements are True and which are False46. If a constant, nonzero force is applied to an object, what can you say about the velocity and acceleration of the object? A. Velocity is constant; acceleration varies B. Velocity varies; acceleration constant C. Velocity is constant; acceleration constant D. Velocity varies; acceleration varies 47. Static friction VARIES from zero to its maximum value. A. True B. False 48. The normal force is ALWAYS ___ to the surface. A. Parallel B. Perpendicular C. Neither
- QUESTION 10 Which of the following statements in regard to the acceleration due to gravity is true? a. The acceleration due to gravity is independent of the mass of the falling object. Ob. The acceleration due to gravity has a magnitude of 8.81 m/s at or near the surface of the earth. C. The acceleration due to gravity increases with decreasing wind resistance and decreases with increasing wind resistance. d. The acceleration due to gravity has a vector component that is parallel to the surface of the earth. O e. The acceleration due to gravity is greater for a greater mass and smaller for a smaller mass.Question 13 One of the critical training components for NASA astronauts is the weightlessness simulation (which is really zero normal force). The astronauts are flown in a vertical circle in an airplane. T experience weightlessness, how fast should the airplane be moving at the top of the vertical circle? The diameter of the trajectory is 4.61 km. Use g = 9.80 m/s (PAMP1312F20) a) 0425 m/s b) O 106 m/s c) O 213 m/s d) O 301 m/s e) O 150 m/s Revie