A desperate hiker has to think fast to help his friend who has fallen below him. Quickly, he ties a rope to a rock of mass ma and makes his way over the ledge (see the figure). If the coefficient of maximum static friction between the rock and the ground is µ, and the mass of the hiker is mg, what is the maximum mass of the friend, mc, that the rock can hold so the hikers can then make their way up over the ledge? Assume the rope is parallel to the ground and the point where the rope passes over the ledge is frictionless. mc = Ju

Q: You decide to use a rope to pull your truck out of the mud. If your truck has a mass of 1,400 kg and…

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Q: A student uses a force P of magnitude 55 N and angle 0 = 75° to push a 4.0 kg block across the…

A: Given: The mass of the block is m=4 kg. The magnitude of the force is P= 55 N. The angle with the…

Q: girl has a 14 kg wagon. If she pushes from behind at an angle of the 30 degrees with a force of 60…

A: girl has a 14 kg wagon. If she pushes from behind at an angle of the 30 degrees with a force of 60…

Q: A picture with a mass of 0.30kg is hung from a wall. The single wire that the picture is suspended…

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Q: moving.What is the coefficient of static friction between the shoe and the surface material? What is…

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Q: A crate that weighs w = 110 N is located on a rough surface. When a force Fapplied = 40 N is exerted…

A: As per guidelines only 3 subparts are solved here. Given, Weight, W = 110 N Fapplied = 40 N

Q: A roofer is shingling a roof having a slope of 30.0°. The roofer is pulling a bundle of shingles, X,…

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Q: A warehouse worker exerts a constant horizontal force of magnitude 85 N on a 40 kg box that is…

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Q: A circus gymnast hangs from two ropes attached to the ceiling while lowering himself to the floor at…

A: Given: The angle of the first rope with vertical is 28.3°. The tension in the first rope is 352 N.…

Q: A crate of mass 61 kg lies on a flat floor.  A person exerts a horizontal force of 141 N on it. If…

A: Given applied force on the mass = 141 N The crate does not move.

Q: A sled is held on an inclined plane by a cord pulling directly up the plane. The sled is to be on…

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Q: A crate with a mass of m=254kg rests on the horizontal deck of a ship. The coefficient of static…

A: The objective of the question is to find the minimum force required to get the block moving from…

Q: You are pushing a metal crate against a metal floor. The two surfaces have a static coefficient of…

A: Given data: Coefficient of static friction (μs) = 0.62  Coefficient of kinetic friction (μk) = 0.50…

Q: A 1500kg car is driving on the road at a speed of 15 m/s. The driver applies the brakes, bringing…

A: The minimum distance the car needs to travel to stop (braking distance) is given by, d=v22μg Here, v…

Q: You are pushing a rubber crate against a concrete floor. The two surfaces have a static coefficient…

A: 1) for rubber crate  Limiting friction fL = usmg = 0.66×25×9.81  fL = 161.86 N  Applied force F = 85…

Q: A 1,200-N crate is being pushed across a level floor at a constant speed by a force F of 260 N at an…

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Q: A desperate hiker has to think fast to help his friend who has fallen below him. Quickly, he ties a…

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Q: An object sitting at rest on a level surface has a weight and a normal force of 200 N. The…

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Q: box with mass m = 3.25 kg rests on the top of a bar. The coefficient of static friction between the…

A: As per our guidelines, we are supposed to answer only first three subparts in case of multiple…

Q: Your friend asks for help moving a box across the apartment floor and tells you that the box weighs…

A: The static frictional force on the box Fs=μsW=0.42·422=177.24 N The kinetic frictional force on the…

Q: what angle 0 is the plane inclined?

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Q: The figure below illustrates the motion of an object on an inclined surface. The angle of…

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Q: A block is being pulled up an inclined plane by a force with magnitude F=45.0 N as shown In the…

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Q: tow-truck pulls a 1500 kg car using a steel cable that makes a 25° angle with the horizontal, as…

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Q: You are pushing a rubber crate against a concrete floor. The two surfaces have a static coefficient…

A: when some force is applied against friction at first it will try to overcome the static friction.…

Q: You are driving a car at a constant speed of 14.0 m/s along a straight level road. As you approach…

A: The initial velocity of the car is u = 14 m/s. The final velocity of the car is v = 0 m/s. The…

Q: A block is placed on a wooden plank, which is initially horizontal. One end of the plank is slowly…

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Q: A heavy crate is suspended from two ropes as it is lowered from a high shelf to the floor at a…

A: Given data: The tension in one rope is T1=653 N. The angle made by one rope is θ1=26.5°. The angle…

Q: ou are pushing a wooden crate against a rubber floor. The two surfaces have a static coefficient of…

A: Given: The mass of the crate is 25 kg. The coefficient of the static friction is 0.45. The…

Q: A heavy crate is suspended from two ropes as it is lowered from a high shelf to the floor at a…

A: SOlution: Given that T = 950 N angle1 = 28.2 degrees angle2 = 33.7 degrees

Q: A block is resting on a wooden plank. There is a hinge on one end of the plank which allows the…

A: The angle of repose if given by  where, is the coefficient of friction.

Q: A small child is trying to push a 100 kg box across a rough surface He is applying a force of 100 N…

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Q: A 1,480-N crate is being pushed across a level floor at a constant speed by a force F of 320 N at an…

A: a. Consider the free body diagram.

Q: A rope attached to an engine pulls a 839 N crate up an 18.0° ramp at constant speed. The coefficient…

A: First we draw the free body diagram of the system and then apply the Newton’s law in x and y…

Q: A man is walking up a hill inclined at 24 degrees at constant speed while pulling a 23.6 kg box by a…

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Q: m A box rests on top of a flat bed truck. The box has a mass of m = 20 kg. The coefficient of static…

A: The acceleration of an object is defined as the time rate of change of its velocity, i.e.a=v-utwhere…

Q: A mass is suspended from the ceiling in an elevator by a heavy rope. The mass is 80 kg and the mass…

A: Let, the mass be, M=80 kg The mass of the rope, m=2 kg The maximum tension the rope can experience…

Q: A worker pulls a 15-kg crate in a straight line on a level surface by imparting a horizontal tension…

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Q: A 15-pound box sits at rest on a horizontal surface, and there is friction between the box and the…

A: The normal force acting on the box is :  FN=mgcosθ The friction force acting on the box is :…

Q: A 1,480-N crate is being pushed across a level floor at a constant speed by a force F of 350 N at an…

A: Given value--- Weight = 1480 N. force = 350 N. angle = 20 degree . We have to find--- (a) What is…

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows: