A waitress shoves a ketchup bottle with mass 0.45 kg to her right along a smooth, level lunch counter. The bottle leaves her hand moving at 2.0 m>s, then slows down as it slides because of a constant horizontal friction force exerted on it by the countertop. It slides for 1.0 m before coming to rest. What are the magnitude and direction of the friction force acting on the bottle?

A 11 kg block rests on a 26 degree inclined frictionless surface and is attached by a light string to a 30 kg hanging mass where the string passes over a massless frictionless pulley. If g = 9.8 m/s2, what is the tension in the connecting string?

Two children are pulled on a sled over snow-covered ground. The sled is pulled by a rope that makes an angle of 35° with the horizontal. The children have a combined mass of 45 kg and the sled has a mass of 5.0 kg. The coefficients of static and kinetic friction are u, = 0.20 and µ, = 0.15. Calculate the maximum possible force of static friction between the sled and snow. If the tension in the rope is 95 N, will the sled move? Justify your answer.

A hunter is pulling his sled 45 kg in mass behind him on snow. He exerts a pull of 170 N in magnitude and at 21 degrees above the horizontal to ensure he could move at a constant acceleration through the snow-covered land. The coefficient of friction between the sled and the snow is 0.43. What is the hunter's acceleration (could be positive or negative)?

A 128 lb person steps into an elevator at the ground floor. The elevator accelerates upward at 5.0 ft/s^2 until reaching a velocity of 24 ft/s. It then holds this velocity until decelerating (a=-5.0 ft/s^2) to a stop at the top floor. What is the normal force on the person in each of the three phases of this trip?

Determine the force Q-> when the block moves with constant velocity. Express your answer in vector form.

In the back of the truck is a 200kg box that has a coefficient of static friction of 0.8 and a coefficient of kinetic friction of 0.4 between the truck and the box. You are driving on the freeway at 25m/s. There is a car ahead of you that is driving at 30m/s. Your front bumper is 30m behind the back of the first car. You would like to pass the other car and pull back into the same lane when your back bumper is 10m ahead of the front bumper of the first car in 5 seconds. The length of the car ahead of you is 3m and the length of your car is 4m.a) What minimum acceleration do you need to do this?b) What distance does your car travel in that time?c) Does the box in your truck start to slide off the truck?

Two roofers are installing a new roof. Bob is sitting on the top of the roof that is angled at 23.5 degrees from the horizontal. Nate is sitting 4.1 m further down the roof. In order to get a box of shingles to Nate, Bob just slides the box directly down to him. If the coefficient of kinetic friction for the box and roof is 0.5, then with what speed should Bob initially push the box so that it slides to a stop right as it reaches the Nate?

A woman pushes a 10.0 kg box across a horizontal floor with a constant force of magnitude 40.0 N directed at an angle of -25° with respect to the positive x-axis. The box moves horizontally to the right. At the origin (x=0) the box has an initial speed of 4.00 m/s and the woman pushes it to a location ofx=3.00 m. what is the force of the woman? what is the force of gravity? what is the normal force of the floor?

A 3 kg particle moves along an x axis, being propelled by a variable force directed along that axis. Its position is given by x = 2 m + (2 m/s)t + ct2 - (3 m/s³)t³ with x in meters and t in seconds.The factor c is a constant. At t = 4 s the force on the particle has a magnitude of 33N and is in the negative direction of the axis. What is c? Number Units