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Newton's Second Law

Magnitude of the Gravitational Force

The mass of one small ball is 1.59 g, and the mass of another is 881 g. If the center to center distance between thse two balls is 13.5 cm, calculate the magnitude of the gravitational force that each exerts on the other. Please explain.

Newtons Laws and Friction with Pulleys

In the figure (see attachment) the coefficient of static friction between mass m1 and the table is 0.35, whereas the coefficient of kinetic friction is 0.25. a) What minimum value of m1 will keep the system from starting to move? m1 = ?kg b) What value of m1 will keep the system moving at constant speed? m1 = ?kg

Box sliding on inclined plane

Determine the time time tB, tC, and tD needed for a block of mass m to slide from rest at A to points B, C, and D, respectively. Neglect effects of friction. See attachment for picture.

Coefficient of Friction for a Skier on a Hill

A skier is moving at 20.0 m/s down a 30 degree slope. He encounters wet snow and slides 145 meters before coming to a stop. What is the coefficient of friction between the skis and the snow?

Free Body Diagram

Please answer each question with step by step answers so I understand the solutions. Thanks! 1. The imperial units for mass is slugs, for length is feet and for time is seconds. The imperial units for force is a pound. What is a pound in terms of slugs, feet and seconds? 2. A box is on a sled. The sled is pulled up a hill

Acceleration and Force

A 400-kg ice boat moves on runners on essentially frictionless ice. A steady wind blows, applying a constant force to the sail. At the end of an 8.0s run, the acceleration is 0.50 m/s^2. a. What is the acceleration at the beginning of the run? b. What was the force due to the wind? c. What retarding force must be appl

Momentum and Equations

A rope of mass M and length L lies on a frictionless table, with a short portion Lo hanging through a hole. Initially the rope is at rest. 1) Find a general equation for x(t), the length of rope through the hole. 2) Evaluate the constants A and B so that the initial conditions are satisfied

Newton's 2nd law

Please see the attached file for full problem description. Kathy and her friend go sledding. Out of curiosity, she measures the constant angle, , that the snow-covered slope makes with the horizontal. Next, she uses the following method to determine the coefficient of friction, k, between the snow and the sle

Nonequilibrium Applicastions of Newtons Laws of Motion

A crate is resting on a ramp that is inclined at an angle 0(thada) the horizontal.As 0(thada) is increased, the crate remains in place until 0(thada)reaches a value of 38.0 degrees. Then the crate begins to slide down the slope. (a) Determine the coefficient of static friction between the crate and the ramp surface. (b) The coef

Newton's second law and centripetal force are featured.

A small, frictionless ball, mass M= 2.5 kg, rests on the surface of a rotating solid cone. The surface is at angle b= 30 degrees. The ball is held in place at distance L= 1.85 m from the apex by a cord. The cord exerts force T on the ball, parallel to the cone's surface. SEE ATTACHMENT #1 for a diagram showing parameters. Part

Horizontal force required to set a block in motion: static and kinetic friction

A 25kg block is initially at rest on a rough, horizontal surface. A horizontal force of 75N is required to set the block in motion. After it is in motion, a horizontal force of 60N is required to keep it in motion. A. Calculate the coefficient of static friction B. Calculate the coefficent of kinetic friction C. If the or

Newton's Second Law of Motion and Gun Acceleration

Scientists are experimenting with a kind of gun that may eventually be used to fire payloads directly into orbit. In one test, this gun accelerates a 5.0-kg projectile from rest to a speed of 4.0 x 10^3 m/s^2. The net force accelerating the projectile is 4.9 x 10^5 N. How much time is required for the projectile to come up to sp

Determining Speed After Movement

See the attached file. A 5.06 kg block located on a horizontal floor is pulled by a cord that exerts a force F = 13.9 N at an angle theta = 18.0° above the horizontal, as shown in the figure. The coefficient of kinetic friction between the block and the floor is 0.06. What is the speed of the block 3.5 s after it starts mov

A block on a plane slides down at constant speed. Find distance and speed.

SEE ATTACHMENT #1 for a diagram showing parameters. A block slides down a plane at angle b= 25 degrees with constant speed. If given initial speed Vo= 5.4 m/sec up the plane, it slides up distance x to a stop. The coefficient of friction between block and plane is f, not zero. PART a. If given Vo up this plane, use Newton'

Buoyant force: Stone dropped into sea water

A stone of density 5g/cm^3 completely immersed in sea water is allowed to sink from rest. Calculate the depth to which the stone would sink in two seconds. Neglect effect of friction. Relative density of sea water = 1.025 and g = 980cm/s^2

Centripetal Force

A "swing" ride at a carnival consists of chairs that are swung in a circle by 12.0 m cables attached to a vertical rotating pole. Suppose the total mass of a chair and its occupant is 220 kg. (a) Determine the tension in the cable attached to the chair. (b) Find the speed of the chair.