Mechanics | Relativity Answers

Find the velocity of a recoil of a gun of mass 5 kg from which a bullet of mass 10 g is fired at a velocity of 250m/sec-1

A uniform rod 8m long weighing 5kg is supported horizontally by two vertical parallel strings at P and Q, and at distances of 2m and 6m from one end. Weights of 1kg, 1.5kg and 2kg are attached at distances of 1m, 5m and 7m respectively from the same end. Find the tension in each vertical string.

An ideal gas at temperature T0 is slowly compressed at constant pressure of 2 atm from

a volume of 10 liters to a volume of 2 liters.

Then the volume of the gas is held constant

while heat is added, raising the gas temperature back to T0.

Calculate the work done ON the gas. 1 atm

= 1.0×105 Pascals and 1 liter = 0.001 m3

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A particle moves with a displacement function 12.5+t^2, calculate the acceleration of the body

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

An austranaut on a strange planet finds that she can jump a maximum horizontal distance of 15m if her initial speed is 3m/s . Whar is the free fall acceleration on the planet?

A CD starts from rest and accelerates to an angular frequency of 3.5 rev/s. Calculate the disc s average period T and centripetal velocity at the edge of the disc when radius is 2.0*10^-2m.

 A mule is pulled by ropes with forces of 100

lbs. in a direction 30° north of west and 100 lbs. in a direction 37° south of

west. Estimate the resultant force on the mule.

Tension is maintained in a string of 29.0 N and transverse wave is observed to pass with a speed of 27.0 m/s. (a) What linear mass density this string has? (b) If the tension is reduced half of its initial value, what speed will a transverse wave can be propagated through the string?

The mechanical power output of a cyclist moving at a constant speed of 5.90 m/s on a level road is 107 W.

What is the force exerted on the cyclist and the bicycle by the air?