04 What is the pressure 40m under the sea if sea water has a density of 1100kg/m3? (atmospheric pressure is 101kPa)

Two small plastic spheres are given positive electrical charges. When they are a distance of 14.8cm apart, the repulsive force b

sdas [7]

Answer:

Explanation:

Case I: They have same charge.

Charge on each sphere = q

Distance between them, d = 14.8 cm = 0.148 m

Repulsive force, F = 0.235 N

Use Coulomb's law in electrostatics

$F=\frac{Kq_{1}q_{2}}{d^{2}}$

By substituting the values

$0.235=\frac{9\times10^{9}q^{2}}{0.148^{2}}$

$q=7.56\times10^{-7}C$

Thus, the charge on each sphere is $q=7.56\times10^{-7}C$ .

Case II:

Charge on first sphere = 4q

Charge on second sphere = q

distance between them, d = 0.148 m

Force between them, F = 0.235 N

Use Coulomb's law in electrostatics

$F=\frac{Kq_{1}q_{2}}{d^{2}}$

By substituting the values

$0.235=\frac{9\times 10^{9}\times 4q^{2}}{0.148^{2}}$

$q=3.78\times10^{-7}C$

Thus, the charge on second sphere is $q=3.78\times10^{-7}C$ and the charge on first sphere is $4q = 4\times 3.78\times 10^{-7}=1.51 \times 10^{-6} C$ .

6 0

3 years ago

John, paul, and george are standing in a strawberry field. paul is 14.0 m due west of john. george is 36.0 m from paul, in a dir

sdas [7]

Position of paul with respect to john is given as

14 m due west of john

$r_{pj} = r_p - r_j = -14\hat i$

position of George with respect to Paul is given as 36 m in direction 37 degree south of east

$r_{GP} = r_G - r_p = 36cos37\hat i - 36 sin37\hat j$

now we need to find the position of George with respect to John

$r_{GJ} = r_G - r_j[\tex]now for the above equation we can add the two equations[tex]r_{Gj} = -14\hat i + 36 cos37\hat i - 36sin37\hat j$

$r_{Gj} = 14.75\hat i - 21.67\hat j$

so the magnitude is given as

$r = \sqrt{14.75^2 + 21.67^2} = 26.2 m$

and direction is given as

$\theta = tan^{-1}\frac{21.67}{14.75}= 55.75 degree$

<em>so it is 26.2 m at an angle 55.75 degree South of east</em>

7 0

3 years ago

Read 2 more answers

Which elastic modulus describes the relationship between stress and strain for a block of iron sliding across a horizontal floor

Juliette [100K]

Answer:

B. Shear Modulus

Explanation:

In this scenario, the friction force between the sliding block and the floor causes the block to deform.

Hence, the elastic modulus which describes the relationship between stress and strain for a block of iron sliding across a horizontal floor is Shear Modulus.

Shear Modulus can be defined as the ratio of shear stress to shear strain with respect to a physical object.

This ultimately implies that, Shear Modulus arises as a result of the application of a shear force on an object or body which eventually leads to its deformation. Thus, this phenomenon is simply used by scientists to measure or determine the rigidity of an object or body.

Mathematically, Shear Modulus is given by the formula;

$G = \frac {Fl}{ADx}$

Where;

G is the Shear Modulus.

F is the force applied to the object.

A is the area of the object.

l is the length of the object.

Dx is the change in length.

Shear Modulus is measured in Pascals.

3 0

3 years ago

Some hummingbirds beat their wings more than 50 times per second. A scientist is measuring the time it takes for a hummingbird t

Aliun [14]

Answer:

millisecond

Explanation:

Time is measured in seconds in the SI system. The scientist will measure the time it takes to complete one flap of the wings. In the SI system the use of prefix makes it easier to describe the value. It is as follows

$1\ ns=10^{-9}\ s$