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Stuck in the middle of a frozen pond with only your physics book, you decide to put physics in action and throw the 5.00-kg book. If your mass is 62.0 kg and you throw the book at 13.0 m/s, how fast do you then slide across the ice? (Assume the absence of friction.)

Please tell me the explanation of the answer.

An airpalane is flying with a velocity of at an angle of above the horizontal.how far from the dog will suitcase land?

1)A wedge of mass 2and angle 60slides freely along a smooth horizontal floor. A uniform circular disk of mass and radius rolls along the rough surface of the wedge with its centre attached to the top of the wedge by a spring of natural length and spring constant . A second uniform circular disk of mass and radius rolls along the rough surface of the wedge with its centre attached to the centre of the first disk by a second spring of natural length and spring constant . The entire system undergoes planar motion. Take as generalized coordinates the displacement of the wedge along the floor, x, the displacement of the upper disk from the top of the wedge, y, and the displacement of the lower disk from the upper disk, z.

A)Determine expressions for the total kinetic energy and the total potential energy of the system.

B)Determine the Lagrangian of the system and obtain Lagrange’s equations for the system.


A Marvel comic character fires a missile, towards a DC Comic hero, the missile gets splitted into three fragments. Two fragments each of mass 100 kg, move away from each other making an angle of 120", with a speed of 200 m/s. Find the velocity of the last fragment having, mass of 200 kg. Also calculate Energy released in the process.

Scleronomous constraints are

A bowling ball with a mass of 15.0 kg is rolling down a hill that is inclined at an angle of 16 degrees. The coefficient of kinetic friction between the ball and the grass is 0.10. Calculate the velocity of the bowling ball obtained after 8 seconds and the distance travelled during that 8 seconds.

A stone is projected in a vertical plane from the ground with a velocity of 5 m/s. at an elevation of 60°. With what velocity, must another stone be projected at an angle of 45° in order to have the same horizontal range? Given g = 10 m/s^2


A projectile is fired at an angle 30 ° from gun that is 45 m above the flat ground, emerging from the gun with a speed of 250 m/s. (a) How long does the projectile remain in air? (b) At what horizontal distance from the firing ground does it strike the ground? (c) What is the velocity of the projectile when it hits the ground?

The pumunary artery which connects the heart to the lungs has an inner radius of 2.6mm and is 8.5cm long. If the pressure drop between the heart and the lungs is 3*10³N/m², what is the average speed of blood in the pumunary artery? Determine volume flow rate of blood. Assume body temperature is 37°C and the coefficient of viscosity of blood is 4*10³ at 37°C

A tensile force of 200N applied to a steel wire of lenght 2m and cross sectional area 0.3mm³ extends it by 0.5cm. calculate the; 1). Tensile stress. 2). Tensile strain. 3). Young's modulus. 4). Strain energy. 5). Strain energy per unit volume.

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