A child weighing 140 N sits at rest at the top of a playground slide that makes an angle of 25 with the horizontal.The child keeps from sliding by holding onto the sides of the slide. After letting go of the sides, the child has a constant acceleration of 0.86 m/s2 (down the slide, of course). (a) What is the coefficient of kinetic friction between the child and the slide? (b) What maximum and minimum values for the coefficient of static friction between the child and the slide are consistent with the information given here?

Q: A car drives onto a section of the road which is covered in ice. The driver attempts to stop by…

A: stopping distance(s)=60m initial speed(u)=40 km/h=40×1000 m3600 sec=11.1111 m/sec final speed(v)=0…

Q: A car is traveling at 41.0 km/h on a flat highway. (a) If the coefficient of friction between road…

A:

Q: Suppose a 4.32 kg crates sits in a ramp. The ramp makes a 37.0 degree angle with the horizontal. The…

A: Given: Mass of crates (m) = 4.32 kg Angle of inclination (θ)= 37.0 coefficient of static friction…

Q: I am travelling along a flat highway at 60mi/hr (26.8 m/s). (a) If the coefficient of friction…

A:

Q: You need to push the couch 4 m to the other side of the room.  After the initial push to get it…

A: The coefficient of kinetic friction between the couch and the floor μk=0.6  The mass of the couch…

Q: A person pushes a 0.20 kg lunch tray across a table, and it slows down as it slides because of…

A: Mass of lunch tray = 0.2 kg  Coefficient of static friction = 0.15  Coefficient of kinetic friction…

Q: A car is traveling at 48.0 km/h on a flat highway. If the coefficient of friction between road and…

A:

Q: A car is parked on a steep hill. What statement regarding friction acting on the car must be true? )…

A: The force of static friction is a type of force that acts between two surfaces and prevents those…

Q: A car is traveling at 40.0 km/h on a flat highway. (a) If the coefficient of friction between road…

A:

Q: You must push a crate across a floor to a docking bay. The crate weighs 165 N. The coefficient of…

A: a) The magnitude of the force that must be applied on the crate on the verge of sliding must be…

Q: A stockroom worker pushes a box with mass 16.8 kg on a horizontal surface with a constant speed of…

A: Net force = 0 N (box moving with constant speed)F - f =0F =f=μkmg F=μKmg=0.2016.8 kg9.8 m/s2=33 N

Q: Skid marks left by the driver are 56.0 m long and the roadway is level. Tires matching those on the…

A:

Q: A coin is placed on an a rough horizontal surface. The surface is gradually inclined, and it is…

A: Draw the free-body diagram of the coin.

Q: A car is traveling at 46.0 mi/h on a horizontal highway. (a) If the coefficient of static friction…

A: Given Data: Initial speed of the car (u) = 47 mi/h = 21.0 m/s. Final speed of the car (v) = 0 m/s.…

Q: A suitcase lies on a horizontal shelf in a train that slows down and its speed decreases steadily…

A: According to the Newton’s second law of motion, the net force acting on an object at equilibrium is…

Q: Playing near a road construction site, a child falls over a barrier and down onto a dirt slope that…

A: Given:  acceleration, a = 0.5 m/s2 angle = 35 degree

Q: A crate of mass 45.0 kg is being transported on the flatbed of a pickup truck. The coefficient of…

A:

Q: A hockey puck is sliding across a level frozen pond with an initial speed of 7.9 m/s. Friction is…

A:

Q: A man is pulling two boxes, one on top of the other, up the ramp shown by pulling on a rope parallel…

A: We need to find out the magnitude of the maximum acceleration the man can pull the boxes up the ramp…

Q: A 30 kg sled slides down a 30 degree hill. If the coefficient of friction between the sled and the…

A: The free-body diagram of the sled on the inclined hill is shown below. Here, a is the acceleration,…

Q: In the figure here, a small, solid, uniform ball is to be shot from point P so that it rolls…

A:

Q: A M1 =1000-kg car is on a rough ramp that is inclined at θ = 20° above the horizontal. It is…

A:

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 car is traveling at 50.0 km/h on a flat highway. (a) If the coefficient of friction between road…

A: By using Newton’s second law in the horizontal direction We can write, For distance

Q: A 55-kg box rests on a horizontal surface. The coefficient of static friction between the box the…

A: The mass of the box=55kg.The coefficient of static friction =0.30.The coefficient of kinetic…

Q: A 9.54-kg box is sliding across the horizontal floor of an elevator. The coefficient of kinetic…

A:

Q: A person is dragging a packing crate of mass 74.9 kg across a rough horizontal floor where the…

A: Here given that the person dragged a mass 74.9 kg by a force F at an angle 43° . The kinetic…

Q: A heavy box of mass M is found at rest on an inclined loading ramp as indicated in the figure. The…

A:

Q: A 2.53 kg block is placed at one end of a wooden plank that is 9.05 m long. The plank is slowly…

A:

Q: A 50 kg wooden crate rests on a horizontal concrete floor. The coefficient of friction is Ms= 0.7.…

A: Frictional force can be expressed as fs=μsN

Q: A 93.6-kg baseball player slides into second base. The coefficient of kinetic friction between the…

A: Given value--- mass = 93.6 kg. coefficient of kinetic friction = 0.632. We have to find---  (a)…

Q: A 4000-kg car is being towed up a smooth frictionless incline ramp inside a truck by chains at a…

A: Given data:- The mass of the car is M = 4000 kg. The angle made by the ramp is θ = 53o. The angle…

Q: a mass is given an initial velocity v0= 3.4ms up a 15 degree incline.  a) if the coefficient of…

A: Given data: Initial velocity of the mass, vo=3.4 m/s Inclined angle, θ=15o Coefficient of kinetics…

Q: A small girl is pushing a wagon of a mass 20kg along the sidewalk. The girl is pushing on the wagons…

A: The sum of forces acts along the direction of the wagon is ∑Fx=0Fcosθ-f=0 rearrange it for…

Q: A 4.98-kg box is sliding across the horizontal floor of an elevator. The coefficient of kinetic…

A: Given : Mass of thr box (m) = 4.98 kg Coefficient of kinetic friction (µk) = 0.393 The equation for…

Q: A 7.3 kg crate is moved rightward across a horizontal surface by a horizontal force such that it has…

A:

Q: n 80 kg log is sliding along a flat section of ground at constant velocity with a coefficient of…

A:

Q: A box with mass 10.0 kg moves on a ramp that is inclined at an angle of 55.0 above the horizontal.…

A: Given: Mass of box, m=10kg,An angle, θ=55oCoefficient of kinetic friction, μk=0.300A constant force,…

Q: A 68 kg crate is dragged across a floor by pulling on a rope attached to the crate and inclined 13°…

A: A crate of mass m=68 kg, is dragged across a floor by pulling on a rope attached to the crate and…

Q: A skater with an initial speed of 6.80 m/s stops propelling himself and begins to coast across the…

A: initial velocity (u) = 6.80 m/sFinal velocity (v) = 0 m/s Coefficient of kinetic friction (μk) =…

Q: A large crate is at rest on a horizontal floor. The coefficient of static friction between the crate…

A:

Q: A 397 N crate rests on a ramp; the maximum angle just before it slips is 33° with the horizontal.…

A: Given Data : Weight of the crate is W=397 N. Angle of inclination of the ramp θ=33°.   Let the…

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…

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: