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Calculate the specific weight, specific mass, specific volume and specific gravity of a liquid having a volume of 5 cubic meters and its weight is 35 kilo newton

Kari uses a two-rope pulley system to lift a box. The box has a mass of 40kg. Kari pulls 8m of rope to lift the box 4m. Kari uses a force of 226.62N to lift the box. Calculate the efficiency of each pulley in the system.


4 microfarad is charged to a potential of 100volts. Another 6 farad of a capacitor is charged to a potential of 300volts. These capacitors are now joined with plates of like charges connected together. Calculate -

1. The Potential Across Each After Joining

2. The Total Electrical Energy After Joining

3. Will The Energy Stored After Joining Be The Same As The Sum Of Energy Stored Before Joining






Given energy C1 and C2 of 2 microfarad and 3 microfarad respectively charged to a potential difference of 50volts and 100volts respectively. Calculate the loss in energy when two capacitors are connected in parallel


A railway truck of 100kg mass traveling with a velocity of 7ms-1 collides with a second truck of 200kg mass and the two couple automatically and move off together. Calculate the velocity of the coupled trucks and the energy lost to the system; if the second truck has a speed of 5ms-1 (a) in the same direction, (b) in the opposite direction and (c) is initially stationary.


5 mol of an ideal gas at a constant temperature if 0°c. If 2kj of energy is inputted into the system and the net change of internal energy ∆u=0, by what factor does the pressure of the gas change.

A gas is filled with oxygen at a temperature of 25°c to a pressure of 2atm. If the temperature is increased to 50°c and the pressure is increased to 5atm, by what factor does the density of the oxygen increase by.

The slope is at an angle of 22° to the horizontal. Each raft has a mass of 8 kg. The length of the slope is 50m.





A child of mass 52 kg sits in a raft at the top of the slope. The raft is released from rest. The child and raft slide together down the slope into the water. The force of friction between the raft and the slope remains constant at 180N.




Show that the acceleration of the child and raft down the slope is 0.67 ms-2





Derive the relation between beta and gamma


A swinging pendulum has a period of 17.0s when the length is shortened by 1.5m, it's period is 8.55 calculate the original length of the pendulum