Physics Answers

If a hemispherical tank of radius R has an orifice of area a, at its base,determine the time required to empty the tank assuming the tank was initially full.

An object of mass m which has initial velocity u falls vertically from a certain height of Value h. Assuming this object is been acted upon by gravity alone deduce an equation to describe its position after t seconds.secondly assuming the object in question experiences some air resistance such that the air resistance is proportional to the square of the velocity: deduce an equation expressing when this object attains terminal velocity and also the distance s it has traveled at a time t despite the resistance offered to the object

A stone of mass 0.60kg is attached to one end of an aluminum wire of length 0.9m and 0.6mm diameter suspended vertically. If the stone is rotated in a horizontal plane in such a way that it makes angle 85° with the vertical what is the increase in length of the wire? (Young's modulus of aluminum=7×10^10Nm,take g=9.8ms, sin85°=0.9962 and cos85°=0.0872

A box is pulled upon a rough inclined plane by an applied force Fa parallel to the plane. Which force does not do work on the box while being pulled up the inclined plane? *

A. Friction

B. Gravitational force

C. Applied force

D. Normal force

1. A wheel started from rest and attained an angular speed of 200 rev/s in 1 minute. Calculate

its angular acceleration assuming it to be constant.

2. A rotating body makes 100 revolutions in 10 seconds. Finds its angular speed.

3. A wheel of radius 0.25 m that starts from rest is given an angular acceleration of 10 rad/s

2

.

Find:

(a) the at of point at its rim,

(b) the ac of this point after 5 seconds, and

(c) the actual acceleration of the wheel.

4. Find the total torque acting on a body when five forces are applied on the following

moment-arms: F1 = 30 N upward at r1 = 2.0 m, F2 = 10 N upward at r2 = 3.0 m, F3 = 50 N

downward at r3 = 2.0 m, F4 = 20 N upward at r4 = 0.5 m and F5 = 25 N downward at r5 = 1.5 m.

If oil flows out of a pipe at the speed of 2.65m/s and the diameter of the pipe is 5.0cm, determine the discharge rate?

The manufacturer of a brand of juice drink claims that the mean content of its product is 210 ml with a standard deviation of 6.7 ml.

What is the probability that a randomly selected sample of the product contains more than or equal to 213 ml?

What is the probability that a sample contains less than 200 ml? 

1. How does density affect pressure in liquids?

2. How pressure vary with dept?

3. How does water pressure increase with dept?

4. Does presure depends on density?

A 4.0-kg block travels around a 0.50-m radius circle with an angular velocity of 12 rad/s. Its angular momentum about the center of the circle is:

a: 12 kg.m2 /s

b. 24 kg.m2 /s

c. 48 kg.m2 /s

d. 6 kg.m2/s

The acceleration of objects on the surface of the moon is only 1/6 of the 9.8 m/s 2. From this fact is it correct to conclude that the mass of the moon is therefore 1/6 the mass of the Earth?