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Sufficiently strong electric fields can cause atoms to become positively ionized—that is, to lose one or more electrons. Explain how this can happen. What determines how strong the field must be to make this happen?


show that unit vector normal to the surface n= ∇φ ÷ | ∇φ | . find n for the ellipsoid.





φ = a(x^2) + b(y^2) +c(z^2)




That the human heart works as a powerful and highly effective pump, as every day it receives and discharges about 7500 liters of blood, suppose that the work done (work) before is equal to the work to raise this increase of blood a height equal to its height, m ​​1.65, if you know that the density of blood is kg / m 3 1060 and acceleration m / s 9.8 Calculate the power of the heart in watts (W)

A stone is thrown straight downward with a speed of 20 m/s from the top of a tall building. If the stone strikes the ground 3 s later, how tall is the building? Assume air resistance is negligible.


Determine the location where an object with mass m0 when placed between the moon and earth experiences a gravitational force from the moon equal to a third of the gravitational force from earth. The distance from the earth to moon is 384,400 km. The ratio of mases between moon and earth is 0.0123. The radii of moon and earth are 1738.1 km and 6378.1 km, respectively.

What average force is required to push a 20.0 -kg stroller with your toddler in it for 5.0 seconds if the weight of the toddler is 15.0 kg? Suppose that you can push with a speed of 1 m/s and the stroller is initially at rest

show that unit vector normal to the surface n= ∇φ ÷ | ∇φ | . find n for the ellipsoid.


φ = a(x^2) + b(y^2) +c(z^2)

A can is dropped from rest at a height of 40.0 m above ground. How much time does it spend in the bottom half of its fall?


  1. 0.873 s
  2. 0.783 s
  3. 0.837 s
  4. 0.738 s

A hydraulic circular rod having a 100mm diameter and 2m long is


pulled by a force of 200 N.


It moves with a constant velocity within a


circular hollow tube of 101mm internal diameter.


The clearance of


0.5mm between the rod and the tube is filled with oil of specific gravity


0.8 and kinematic viscosity 400 mm^2/s as shown in the figure below.


Determine the velocity of the rod in units of m/s.

  1. When a wheel is rotated through an angle of 35°, a point on the circumference travels through an arc length of 2.5 m. When the wheel is rotated through angles of 35 rad and 35 rev, the same point travels through arc lengths of 143 m and 9.0 × 102 m, respectively. What is the radius of the wheel?(See Sample Problem 7A.)
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