A desperate hiker has to think fast to help his friend who has fallen below him. Quickly, he ties m. a rope to a rock of mass m, and makes his way over the ledge (see the figure). If the coefficient of maximum static friction between the rock and the ground is u, and the mass of the hiker is mp, what is the maximum mass of the friend, mf, 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. mf =

Q: Just like Louis, Maria left a book on the roof of her car before driving away. The mass of the book…

A: mass of the book (m) = 731 grams = 0.731 kg coefficient of static friction (μs) = 0.29 coefficient…

Q: A 172 N sled is pulled up a 31 degree slope at a constant speed by a force of 156 N. What is the…

A: weight of sled =mg = 172 N angle =  31 degrees force = F = 156 N

Q: Mary applies a force of 71 N to push a box with an acceleration of 0.52 m/s². When she increases the…

A:

Q: A sled of mass 88 kg is being pushed up a slope with an applied force of 910 N. The slope is…

A:

Q: You managed to pull a heavy crate up a ramp on a truck. The crate has mass 46 kg. You were pulling…

A:

Q: In the figure, two blocks are connected over a pulley. The mass of block A is 10.0 kg and the…

A: Given: The mass of the block A is 10 kg. The coefficient of the kinetic friction is 0.24. The angle…

Q: A manufacturer of children's slides does some tests and discovers that the slope of a slippery slide…

A: The data given is as follows, 1. Slope of the slide, θ=25° 2. The weight of the child is, mc=35 kg…

Q: A large crate has a mass of 120 kg and sits on a horizontal floor. You push on the crate with a…

A:

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

A:

Q: The coefficient of static friction between a block and a horizontal floor is 0.47, while the…

A: Given data The block mass is: m = 4.2 kg The coefficient of static friction is: μs = 0.47 The…

Q: a block is sliding down a ramp with an external force (in addition to friction) applied up the ramp…

A: Page 1

Q: Mary pushes a her sister down a hill in a cardboard box. The total mass of the box and child is 115…

A:

Q: A 40 N box is resting on a table when a 10 N force is applied to it horizontally. The coefficients…

A: Frictional force F = uN

Q: Bob and Jane are trying to pull a heavy box (m=500 kg) to the top of a ramp which is inclined at 15…

A: How hard to Bob and Jane have to pull the box in Newtons to get it to start moving up the ramp.…

Q: A stubborn, 115 kgkg mule sits down and refuses to move. To drag the mule to the barn, the…

A: Given: The mass of mule is m=115 kg. The maximum force is F=800 N. The static coefficients of…

Q: In the figure, two blocks are connected over a pulley. The mass of block A is 7.30 kg and the…

A:

Q: A 10.0-kg box is at rest on a concrete floor. The coefficient of static friction between the box and…

A: mass, m = 10 kg static friction coefficient = 0.75  kinetic friction coefficient = 0.62  Force, F =…

Q: A block is lying on a horizontal floor. The weight of the block is W. What is the normal force N…

A: The expression for the acceleration using Newton’s second law for the vertical direction, since Fn​…

Q: horses pull a cart with a total applied force of 1000N. The kinetic friction from the gravel road…

A: Given  Mass of cart, M = 200 kg  Force applied, F = 1000 N  Frictional force, f = 375 N

Q: Three blocks (as shown in the figure) are released from rest and they start to accelerate with a…

A: Step 1: here we have derived the equation of motion of the masses Step 2: here we have calculated…

Q: A person weights 686 Newtons. On their way home they see an Ice patch .they run and slide across the…

A:

Q: Two rough blocks are at rest on a slope as shown. Block A mass is 5 kg. Block B mass is 10 kg. The…

A:

Q: An object is given an initial speed of 5 m/s on a horizontal surface.It slides 10 m on the…

A:

Q: A 183 N sled is pulled up a 32 degree slope at a constant speed by a force of 159 N. What is the…

A: Draw a free-body diagram of the system.

Q: 2 crates are connected to each other by a rope. One crate(m=17kg) is sitting by the ledge of a…

A:

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

A:

Q: A 50.0 kg girl and a 100 kg boy, stand on a frictionless frozen lake at a distance 6.0 m apart.…

A: mass of girl = 50 kg mass of boy = 100 kg distance between girl and boy = 6 m force exerted by boy…

Q: Two blocks are connected via a massless frictionless pully system. The hanging block is 3 kg. The…

A:

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

A:

Q: The strings and frictionless pulleys have negligible masses.  The coefficients of kinetic friction…

A: Given that, the mass of block A is mA=3kg the mass of block B is mB=4kg coefficient of kinetic…

Q: A 200 kg crate rests on a floor with carpet. A tired worker pushes with a horizontal force of 600 N…

A: Given: The mass of the crate is, M=200 kg The worker pushes with a horizontal force, F=600 NF = 600…

Q: Two children are pulled on a sled over snow-covered ground. The sled is pulled by a rope that makes…

A: Given:Combined mass of children, mc = 45 kgmass of the sled, ms = 5.0  kgtotal mass the the…

Q: Mary applies a force of 71 N to push a box with an acceleration of 0.45 m/s2. When she increases the…

A:

Q: In the figure, two blocks are connected over a pulley. The mass of block A is 14.0 kg and the…

A: If speed is constant net force acting on each block must be zero.

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…

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: