Explanation Given that the forces acting on the object are, F → 1 = ( 16 i + 12 j ) N F → 2 = ( − 10 i + 22 j ) N The net force acting on the object is the vector sum of the two given forces. ∑ F → = F → 1 + F → 2 (I) According to Newton’s second law, the net force on the object can be written as, ∑ F → = m a → (II) Here, m is the mass of the object, and a → is the acceleration of the object. Equate the right hand sides of equation (I) and (II) and solve for m . m a → = F → 1 + F → 2 a → = F → 1 + F → 2 m (III) Write the expression for the velocity of the object

Physics for Scientists and Engineers with Modern Physics

4th Edition

ISBN: 9780131495081

Author: Douglas C. Giancoli

Publisher: Addison-Wesley

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Chapter 4, Problem 40P

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The velocity of the object at time t=3.0 s.

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Chapter 4, Problem 39P

Chapter 4, Problem 41P

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Chapter 4 Solutions

Physics for Scientists and Engineers with Modern Physics

Ch. 4.4 - Suppose you watch a cup slide on the (smooth)...Ch. 4.5 - Return to the first Chapter-Opening Question, page...Ch. 4.5 - A massive truck collides head-on with a small...Ch. 4.5 - If you push on a heavy desk, does it always push...Ch. 4.7 - A 10.0-kg box is dragged on a horizontal...Ch. 4 - Why does a child in a wagon seem to fall backward...Ch. 4 - A box rests on the (frictionless) bed of a truck....Ch. 4 - If the acceleration of an object is zero, are no...Ch. 4 - If an object is moving, is it possible for the net...Ch. 4 - Only one force acts on an object. Can the object...

Ch. 4 - When a golf ball is dropped to the pavement, it...Ch. 4 - If you walk along a log floating on a lake, why...Ch. 4 - Why might your foot hurt if you kick a heavy desk...Ch. 4 - When you are running and want to slop quickly, you...Ch. 4 - (a) Why do you push down harder on the pedals of a...Ch. 4 - A father and his young daughter are ice skating....Ch. 4 - Suppose that you are standing on a cardboard...Ch. 4 - A stone hangs by a fine thread from the ceiling,...Ch. 4 - The force of gravity on a 2-kg rock is twice as...Ch. 4 - Would a spring scale carried to the Moon give...Ch. 4 - You pull a box with a constant force across a...Ch. 4 - When an object falls freely under the influence of...Ch. 4 - Compare the effort (or force) needed to lift a...Ch. 4 - Which of the following objects weighs about 1 N:...Ch. 4 - According to Newtons third law. each team in a tug...Ch. 4 - When you stand still on the ground, how large a...Ch. 4 - Whiplash sometimes results from an automobile...Ch. 4 - Mary exerts an upward force of 40N to hold a bag...Ch. 4 - A bear sling, Fig. 430, in used in some national...Ch. 4 - (I) What force is needed to accelerate a child on...Ch. 4 - (1) A net force of 265N accelerates a bike and...Ch. 4 - (I) What is the weight of a 68-kg astronaut (a) on...Ch. 4 - (I) How much tension must a rope withstand if it...Ch. 4 - (II) Superman must stop a 120-km/h train in 150 m...Ch. 4 - (II) What average force is required to stop a...Ch. 4 - (II) Estimate the average force exerted by a...Ch. 4 - (II) A 0.140-kg baseball traveling 35.0 m/s...Ch. 4 - (II) A fisherman yanks a fish vertically out of...Ch. 4 - (II) A 20.0-kg box rests on a table. (a) What is...Ch. 4 - (II) What average force is needed to accelerate a...Ch. 4 - (II) How much tension must a cable withstand if it...Ch. 4 - (II) A 14.0-kg bucket is lowered vertically by a...Ch. 4 - (II) A particular race car can cover a...Ch. 4 - (II) A 75-kg petty thief wants to escape from a...Ch. 4 - (II) An elevator (mass 4850 kg) is to he designed...Ch. 4 - (II) Can cars stop on a dime? Calculate the...Ch. 4 - (II) A person stands on a bathroom scale in a...Ch. 4 - (II) High-speed elevators function under two...Ch. 4 - (II) Using focused laser light, optical tweezers...Ch. 4 - (II) A rocket with a mass of 2.75 106 kg exerts a...Ch. 4 - (II) (a) What is the acceleration of two falling...Ch. 4 - (II) An exceptional standing jump would raise a...Ch. 4 - (II) The cable supporting a 2125-kg elevator has a...Ch. 4 - (III) The 100-m dash can be run by the best...Ch. 4 - (III) A person jumps from the roof of a house...Ch. 4 - (I) A box weighing 77.0 N rests on atable. A rope...Ch. 4 - (I) Draw the free-body diagram for a basketball...Ch. 4 - (I) Sketch the tree body diagram of a baseball (a)...Ch. 4 - (I) A 650-N force acts in a northwesterly...Ch. 4 - (II) Christian is making a Tyrolean traverse as...Ch. 4 - (II) A window washer pulls herself upward using...Ch. 4 - (II) One 3.2-kg paint bucket is hanging by a...Ch. 4 - (II) The cords accelerating the buckets in Problem...Ch. 4 - (II) Two snowcats in Antarctica are towing a...Ch. 4 - (II) A train locomotive is pulling two cars of the...Ch. 4 - (II) The two forces F1 and F2 shown in Fig. 4-40a...Ch. 4 - (II) At the instant a race began, a 65-kg sprinter...Ch. 4 - (II) A mass m is at rest on a horizontal...Ch. 4 - Prob. 40P Ch. 4 - (II) Uphill escape ramps are sometimes provided to...Ch. 4 - (II) A child on a sled reaches the bottom of a...Ch. 4 - (II) A skateboarder, with an initial speed of...Ch. 4 - (II) As shown in Fig. 4-41, five balls (masses...Ch. 4 - (II) A 27-kg chandelier hangs from a ceiling on a...Ch. 4 - (II) Three blocks on a frictionless horizontal...Ch. 4 - (II) Redo Example 413 but (a) set up the equations...Ch. 4 - (II) The block shown in Fig. 4-43 has mass m = 7.0...Ch. 4 - (II) A block is given an initial speed of 4.5 m/s...Ch. 4 - (II) An object is hanging by a string from your...Ch. 4 - (II) Figure 4-45 shows a block (mass mA) on a...Ch. 4 - (II) (a) If mA = 13.0 kg and mB = 5.0 kg in Fig....Ch. 4 - (III) Determine a formula for the acceleration of...Ch. 4 - (III) Suppose the pulley in Fig. 446 is suspended...Ch. 4 - (III) A small block of mass m rests on the sloping...Ch. 4 - (III) The double Atwood machine shown in Fig. 4-48...Ch. 4 - (III) Suppose two boxes on a frictionless table...Ch. 4 - (III) The two masses shown in Fig, 450 are each...Ch. 4 - (III) Determine a formula for the magnitude of the...Ch. 4 - (III) A particle of mass m, initially at rest at x...Ch. 4 - (III) A heavy steel cable of length and mass M...Ch. 4 - A person has a reasonable chance of surviving an...Ch. 4 - A 2.0-kg purse is dropped 58 m from the top of the...Ch. 4 - Toms hang glider supports his weight using the six...Ch. 4 - A wet bar of soap (m = 150 g) slides freely down a...Ch. 4 - A cranes trolley at point P in Fig. 4-53 moves for...Ch. 4 - A block (mass mA) lying on a fixed frictionless...Ch. 4 - (a) In Fig. 454, if mA = mB = 1.00 kg and 33.0,...Ch. 4 - The masses mA and mB slide on the smooth...Ch. 4 - A 75.0-kg person stands on a scale in an elevator....Ch. 4 - A city planner is working on the redesign of a...Ch. 4 - If a bicyclist of mass 65 kg (including the...Ch. 4 - A bicyclist can coast down a 5.0 hill at a...Ch. 4 - Francesca dangles her watch from a thin piece of...Ch. 4 - (a) What minimum force F is needed to lift the...Ch. 4 - In the design of a supermarket, there are to be...Ch. 4 - A jet aircraft is accelerating at 3.8m/s2 as it...Ch. 4 - A 7650-kg helicopter accelerates upward at 0.80...Ch. 4 - A super high-speed 14-car Italian train has a mass...Ch. 4 - A fisherman in a boat is using a 10-lb test...Ch. 4 - An elevator in a tall building is allowed to reach...Ch. 4 - Two rock climbers, Bill and Karen, use safety...Ch. 4 - Three mountain climbers who are roped together in...Ch. 4 - A doomsday asteroid with a mass of 1.0 1010kg is...Ch. 4 - A 450-kg piano is being unloaded from a truck by...Ch. 4 - Consider the system shown in Fig. 462 with mA =...Ch. 4 - A 1.5-kg block rests on top of a 7.5-kg block...Ch. 4 - You are driving home in your 750-kg car at 15 m/s....Ch. 4 - (II) A large crate of mass 1500 kg starts sliding...

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The velocity of the object at time t = 3.0 s .

Solution Summary: The author explains Newton's second law, which states that the net force acting on the object is the vector sum of the two given forces.

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The velocity of the object at time t=3.0 s.

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Chapter 4 Solutions