An Atwood's machine consists of two masses m₁ and m₂ joined by a light cord which passes over a pulley. Initially, the heavier mass is positioned a distance h above the floor. The masses are released from rest. At what speed are the masses moving when the heavier mass strikes the floor? Here m₁ = 4kg, ma 6kg, and h = 3m. The cord is long enough so that the lighter mass does not reach the pulley. Devices like this are

An object of mass 7.6 kg moves along a flat surface and then up an incline with a steepness of 6.8∘∘.   If the object is moving with a speed of 5.4 m⋅⋅s-1 along the flat surface, how fast is it moving (in m⋅⋅s-1) after it has travelled 2.3 m along the incline? Assume that the incline is frictionless,  and ignore air resistance.

How to solve?

An object of mass m= 7.6 kg is free to move on a horizontal surface without any friction. It is initially at rest and starts moving under a net force of F =(3N)î +(4N)ĵ . What is the object's speed in m/s after moving 1 meter?

A proton (mass m = 1.67 × 10-27 kg) is being accelerated along a straight line at 6.20 x 10¹1 m/s² in a machine. If the proton has an initial speed of 8.50 x 104 m/s and travels 2.10 cm, what then is (a) its speed and (b) the increase in its kinetic energy? (a) Number (b) Number i Units Units

A puck of mass m=2 kg moves on a circle of radius r=0.5 meters, on a frictionless table. The puck is attached to an object of mass M=10 kg by a cord that extends through a hole on the table. Find the speed of the puck if the object is at rest. You may take g=10m/s². Select one: O a. 4/3m/s O b.5/2m/s O c. 5m/s O d. 25m/s O e. 4m/s

If a particle is moving, it has kinetic energy. Kinetic energy is the energy of motion, and it depends on the speed and mass of the particle. It is given by the formula Ek = 1/2*mv2, where  Ek  is the kinetic energy, m is the mass, and v is the speed of the particle. The formula for kinetic energy has some important features to keep in mind. Kinetic energy, and every other type of energy as well, is a scalar quantity, given by only a single number. Energy does not have a "direction", unlike a vector quantity. (This is in contrast to the vector quantity momentum, which you might have already studied.) Kinetic energy, in particular, is always a positive number. (Note the speed v is the magnitude of the vector velocity, and therefore is positive. But even if it were a negative number, squaring it would always lead to a positive result.) Kinetic energy depends on the square of the speed. (This is in contrast to the magnitude of momentum, mv, a quantity you may have already studied, which…

A proton (mass m = 1.67 × 10-27 kg) is being accelerated along a straight line at 9.80 × 1011 m/s2 in a machine. If the proton has an initial speed of 8.20 × 105 m/s and travels 5.90 cm, what then is (a) its speed and (b) the increase in its kinetic energy?

How much work (in J) is done for an object moving from x=1m to x=5m?

An object of mass m = 2.9 kg is free to move on a horizontal surface without any friction. It is initially at rest and starts moving under a net force of F = (3N)i + (4N)j. What is the object's speed in m/s after moving 1 meter?