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: 1. a) A catcher stops a 0.15-kg ball traveling at 40 m/s in a distance of 20 cm. What is the…

A: Given:- The mass of the ball is m = 0.15 kg. The speed of the ball is v = 40 m/s  The distance the…

Q: A 171 N sled is pulled up a 32 degree slope at a constant speed by a force of 187 N. What is the…

A:

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: A box with with a mass m = 2kg is being pushed up a ramp by an unknown pushing force Fp. The…

A: The free-body diagram is , Given, m=2kg' The velocity is constant so, the acceleration is constant…

Q: An object with a mass of 1.76 kg is initially at rest upon a horizontal, frictionless surface. An…

A: Mass = 1.76 kg Force = 3.04 N Time = 2.08 sec Velocity =?

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

A:

Q: A box started at rest but was moved at a speed of 5 m/s. It was pushed 3 meters up a 60° ramp. The…

A: The mass of the box is m = 5.6 kg. The inclination of the plane with the horizontal is θ = 60…

Q: You're standing at the top of a snow-covered hill, sloped at 20.0°. The coefficient of kinetic…

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: You are pushing a 40 kg sled across some snow with a coefficient of friction of 0.2. How much force…

A: Answer :  The force required to push must be 78.4N .

Q: Mass mB = 25 kg is on a horizontal surface connected by a rope over a pulley to mass mA = 15 kg.…

A: mB = 25 kg  mA = 15 kg N is the normal force and fs is the static friction.

Q: A book resting on a sheet of ice is given an initial speed vi in the +x-direction. The coefficient…

A: Given quantities: initial velocity = vi  coefficient of kinetic friction = μk acceleration due to…

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: A flatbed truck is carrying a 20-kg crate up a sloping road. The coefficient of static friction…

A: Mass of crate =20 kgcoefficient of static friction between the crate and the bed is 0.40,coefficient…

Q: A Z-Drag is an arrangement of ropes in pulleys often used in rescue situations. Implemented…

A:

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 child has mass 24.0 kg and slides down a 23° incline with constant speed under the action of a…

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: 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 189 N sled is pulled up a 30 degree slope at a constant speed by a force of 176 N. What is the…

A:

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: An object moves with an initial speed of 5.01 m/s. It then enters a region with friction causing the…

A: Work done by the constant friction force is:Wfric = Ffricd = μFNdbut FN = mgTherefore, Wfric =…

Q: A hockey puck with mass 0.166 kg is pushed across the ice with a constant force of 0.89 N. The…

A:

Q: A horizontal force of 59 N is required to slide a 16 kg box across a tile floor at constant…

A:

Q: The figure shows the configuration of two identical bricks. In case 1 the bricks are placed end to…

A: In our daily lives, we observe frictional forces at work in moving bodies that are in contact.…

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: