Classical Mechanics Answers

A uranium-238 atom can break up into a thorium-234 atom and a particle called an alpha particle, α-4. The numbers indicate the inertias of the atoms and the alpha particle in atomic mass units (1 amu = 1.66 × 10−27 kg). When an uranium atom initially at rest breaks up, the thorium atom is observed to recoil with an x component of velocity of -2.5 × 105 m/s.
How much of the uranium atom's internal energy is released in the breakup?

A star ship is circling planet of radius R. The astronauts find that the free fall acceleration at their altitude is half the value at the planets surface. How far above the surface are they orbiting?answer must be a multiple of R.

A 3,0 cm - diameter tube is held upright and filled to the top with mercury. The mercury pressure at the bottom of the tube, pressure in excess of atmospheric pressure is 50kPa. How tall is the tube?

A block weighing 10N is dropped from a height h=12cm above a spring balance with k= 1000N/m. What maximum weight will the balance read momentarily?

If 240J of energy is stored in a battery and only 4J is transferred today the surroundings to light it up, what is the efficiency of the energy ?

A 1.67kg rock is dropped from the top of a cliff that is 32.7m above the surface of a lake. What is the speed of the rock just before it hits the surface of the water

A solid rolls over the top of a hill on a track, its speed is 80cm/sec. If friction losses are negligible, how fast is the disc moving when it is 80cm below the top?

A gun with inertia 4.5 kg fires a 12-g bullet at a stationary target located 1.0 km away. After the bullet leaves the gun, its speed decreases (constant x component of acceleration a = -1.0 m/s2 ) so that the bullet hits the target at 299 m/s.
If the direction in which the bullet moves is along a positive x coordinate axis, what is the recoil velocity of the gun?

If a mass 'm' is attached to a spring and the mass is brought down slowly such that its spring force balances the gravity then the extension will be (x = mg/k) and when the spring is allowed to free fall then the extension is (x = 2mg/k). So could you please tell me in which condition stable equilibrium is acheived and in which unstable equilibrium??

On a railway track,a driver brakes at a yellow signal at a distance of 1km from red signal, where it stops...the maximum deceleration of train is 0.2m/s square... assuming uniform deceleration,what is maximum safe speed of the train at yellow signal?