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The position of a particle moving under uniform acceleration is some function of time, t and the acceleration, a. Suppose we write this position as x = ka^m.(t^n) where k is a dimensionless constant.
Determine the values of m and n.
Can this analysis give the value of k? Explain.
A garden hose is originally full of motionless water. What additional force is necessary to hold the nozzle stationary after the water flow is turned on if the discharge rate is 0.600 kg/s with a speed of 25.0 m/s?
A 90.0 kg fullback running east with a speed of 5.00 m/s is tackled by a 95.0 kg opponent running north with a speed of 3.00 m/s. (a) Explain why the successful tackle constitutes a perfectly inelastic collision. (b) Calculate the velocity of the players immediately after the tackle. (c) Determine the mechanical energy that disappears as a result of the collision. Account for the missing energy
An object of mass 3.00 Kg, moving with an initial velocity of 5.00 i m/s, collides with and sticks to an object of mass 2.00 kg with an initial velocity -3.00 j m/s. Find the final velocity of the coposite object.
What is mearnt by (a) stable equilibrium and (b) unstable equilibrium! Give one example each
The foot of a uniform ladder is on a rough horizontal ground, and the top rests against a smooth vertical wall. The weight of the ladder is 400 N, and a man weighing 800 N stands on the ladder one-quarter of its lenght from the bottom. If the inclination of the ladder to the horizontal is 30 0 , find the reaction at the wall and the total force at the ground.
An object of mass m = 0.500 kg is suspended from the ceiling of an accelerating truck. Taking a = 3.00 m/s 2 , find
(a) the angle u that the string makes with the vertical and
(b) the tension T in the string.
1. A block slides down a frictionless plane having an inclination of = 15.0 0 .The block starts from rest at the top, and the length of the incline is 2.00 m.

Find;

(a) the acceleration of the block

(b) its speed when it reaches the bottom of the incline.

Why are containers with tight fitting lids not suitable for microwave cooking?

A mixture of acetone and water are sent through a distillation column. In one stage of the distillation column, 286 kg/h of a mixture that is 30 mass percent acetone enters and is split into two streams, a liquid and vapor stream. The vapor stream contains 74 mass percent acetone, and the liquid stream contains 18 mass percent acetone.

What is the total flow rate of the liquid stream?
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