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- An object falling under the pull of gravity is acted upon by a frictional force of air resistance. The magnitude of this force is approximately proportional to the speed of the object, which can be written as f = bv. Assume b = 15 kg/s and m = 50 kg. (a) What is the terminal speed the object reaches while falling? (b) Does your answer to part (a) depend on the initial speed of the object? Explain.A crate of mass 45.0 kg is being transported on the flatbed of a pickup truck. The coefficient of static friction between the crate and the trucks flatbed is 0.350, and the coefficient of kinetic friction is 0.320. (a) The truck accelerates forward on level ground. What is the maximum acceleration the truck can have so that the crate does not slide relative to the trucks flatbed? (b) The truck barely exceeds this acceleration and then moves with constant acceleration, with the crate sliding along its bed. What is the acceleration of the crate relative to the ground?An object is moving with constant velocity in a straight line. Which of the following statements is true? A.There is no frictional force acting on the object. B.A constant force is being applied in the direction opposite of motion. C.A constant force is being applied in the direction of motion. D.There are no forces acting on the object. E.The net force on the object is zero.
- Which of the following statements about friction is not true? * A. An object of large mass is pulled down onto a surface with a greater force than an object of low mass and, as a consequence, experiences a greater friction B. The direction of friction is always opposite to the direction of motion C. Friction is a force D. The direction of friction is always the same as the direction of motionA truck of mass 10 000 kg pulls a trailer of mass 6 000 kg along a level road. The truck and trailer accelerates at 0.75 m/s^2. Friction and air resistance act on both the truck and trailer. The total drag force is a constant 5 000 N, with a half of this force acting on the trailer. If the trailer lost connection with the truck, what will be the acceleration of the truck? * Use g=9.8 a. 1. 32 m/s2 b. 3.45 m/s2 c. 2. 54 m/s2 d. 4.16 m/s2 e. 1.45 m/s^2An object moves in the absence of a net force. Which of the following statements best describes the motion of the object? a) The object will continue to move with constant velocity b) The object will move slower and slower until it comes to rest c) The object will move with constant speed, following a circular path d) The object will move faster and faster, until it reaches its maximum speed e) The object will stop immediately and remain at rest until a net force acts on it.
- Design a vehicle that can go an initial speed of 20.5 m/s to zero in a distance 84 m. Assume a constant acceleration. What is the smallest coefficient of friction between the tires and road that will allow for these parameters? Ignore air drag, friction can be static or kinetic depending on the situation. Give answer to at least three digits. D. FocusA rock pulled by two cords in the opposite direction moves at a constant acceleration. What can be inferred from the magnitude of the forces acting on the rock? a. The rock is accelerating, therefore the forces must be balanced for it accelerate. b. The direction of the force tells us that the magnitude of the forces are unequal. c. The body is moving at constant acceleration, therefore the forces are balanced and the magnitudes are the same. d. These forces did not cancel each other. The magnitude of the forces are not the same. e. No AnswerThe instruments attached to a weather balloon have a mass of 4.1 kg. The balloon is released and exerts an upward force of 99.9 N on the instruments.The acceleration of gravity is 9.8 m/s2 . a) What is the acceleration of the balloon and the instruments? b) After the balloon has accelerated for 10.2 s, the instruments are released. What is the velocity of the instruments at the moment of their release? c)Assume: The upward direction is positive. What net force acts on the instruments after their release in N? d) How long after their release does the direction of their velocity first become downward (negative) in s?
- 3. Is it possible for a body to move in a constant speed but a variable velocity? 4. When a body has a constant acceleration, does the direction of its velocity change or not? If yes, give one of your examples. 5. If an object is acted on under several forces, does the object have to have acceleration? 6. Does the direction of the net force acted on a body and the direction of motion of the body have to be the same? B. Problems 1. A net force of 21.6N (1N=kg•ms?) accelerates an object at 10.8 ms?. What is the mass of the object? (m = 2 kg) 2. An object moves according to the equation of motion 7() = (3+ 41')i + (6e +8r')+3k Find: (i). The initial position of the object; (r(0) =3 k) (ii). The velocity of the object at t=2 second and the angle with z-axis also at t =2 s. (ii). The magnitude of its acceleration at any moment. (hint: find acceleration by dt and then using 3. A force acting on an object has an angle of % with the object's displacement. (i) Suppose the magnitude of the force…3. A chain consists of identical links, each with a mass of 2.5 kg. You grab the top link and pull the chain so that it accelerates upwards at a constant rate of 2.5 m/s2. a) Draw a free body diagram of the bottom three links (labeled 1, 2, 3). Label all forces and use double subscript notation to denote which object exerts the force and which object is experiencing the force. b) Find the magnitude of the force exerted on link 1 by link 2, in Newtons. c) Find the magnitude of the force exerted on link 2 by link 3, in Newtons.1. An object acted on by three forces moves with constant velocity. One force acting on the object is in the positive x directionand has a magnitude of 6.5 N; a second force has a magnitudeof 4.4 N and points in the negative y direction. Find the direction and magnitude of the third force acting on the object Graph and Explain.