Projectile motion-initial speed

A soccer player kicks a rock horizontally off a 40.0m high cliff into a pool of water. If the player hears the sound of the splash 3.00s later, what was the initial speed given to the rock? Assume the speed of sound in air to be 343m/s

Projectile motion

A projectile is fired in such a way that its horizontal range is equal to three times its maximum height. What is the angle of projection?

A rod & mass system, is released to rotate in a vertical circle. Find the tensions in the rod at the the lowest point.

A rigid rod with negligible mass has a length L= 2.6 m. The rod can rotate freely about a fixed pivot at one end. Attached at the other end of the rod is mass M1 = 8.4 kg, and at its center is mass M2 = 3.6 kg. The system is released from vertical at rest to rotate about the pivot. SEE ATTACHMENT #1 for a diagram showing parame ...continues

A rock, mass unknown, slides down a hill. Find average friction force and mass.

A rock starts from rest then slides distance L= 5 m down a concave hill to a point which is h= 3 m below starting point. SEE ATTACHMENT #1 for a diagram showing parameters. During the slide, Q= 111 joules of heat are generated, and the final speed is V= 4.8 m/sec. PART a. Find the average friction force. PART b. Find the m ...continues

Center of mass problem

A uniform bar 2m long and of mass 1 kg is resting on a knife edge placed 40 cm from one end. What mass suspended from that end will keep the bar horizontal.

Rolling sphere on incline

As shown in the figure a uniform solid sphere rolls on a horizontal surface at 30 m/s and then rolls up the incline. If frictional losses are negligible, what will be the value of its height when the it stops ?

This is a classical problem in mechanics. An object is let to slide on a frictionless sphere. In what angle the object will break free form the sphere?

An object is positioned at an initial angle on a frictionless spherical shell. It is then let go, and starts sliding on the shell. In what final angle the object will break free from the shell? the solution should be in terms of the initial angle.

A compressed spring with a stone on it, flings the stone upward when released. Find the maximum height attained.

A spring is .66 m long when it contains no energy When a stone with mass M= 8.5 kg is placed on the spring it shortens by b= .06 m then supports the stone in equilibrium. The stone is now pushed down an additional d= .38 m. When released, the stone is projected upward to maximum height H meters above release point. SEE ATTACHME ...continues

Two springs can be combined in series or in parallel. Find the force constant of each combination.

Spring A has force constant kA= 60 nt/m. Spring B has force constant kB= 40 nt/m. The two springs attached end to end form a series combination with force constant Ks. The two springs attached side by side so that a force applied to the ends stretches both springs, form a parallel combination with force constant Kp. SEE ATT ...continues

A non linear force does work. By integration, find the work done between given limits.

A perfectly elastic rubber framework is stretched by a force applied to its end. This force as a function of the x coordinate of the end is: (1) F = 52.8 x + 38.4 x^2 PART a. By integration, find the work done by this applied force from position x1=.5 m to x2= 1 m. PART b. With the end at position x2, a frictionless mass o ...continues