Answer:
16916.4 V
Explanation:
Electric potential: This is the work done in bringing a unit positive charge from infinity to that point in against the action of the field. The S.I unit of Electric potential is V.
mathematically, Electric potential can be expressed as
P = E×d ....................................... Equation 1.
Where P = Electric potential, E = Electric Field, d = distance/height of the level at the top of the Washington Monument.
Given: E = 100 V/m, d = 555 ft = 555×0.3048 m = 169.164 m.
Substitute into equation 1
P = 100×169.164
P = 16916.4 V.
Thus the potential difference = 16916.4 V.
Bacteria <span>are very small </span>organisms<span>.</span>
Answer:
A.) r = 2t
B.) V = 33.5t^3
Explanation:
Given that a spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 2 cm/s
A) Express the radius (r) of the balloon as a function of the time (t).
Since the rate = 2 cm/s that is,
Rate = radius/ time
Therefore,
2 = r/t
Make r the subject of formula
r = 2t
(B) If V is the volume of the balloon as a function of the radius, find V or and interpret it.
Let assume that the balloon is spherical. Volume of a sphere is;
V = 4/3πr^3
Substitute r = 2t into the formula
V = 4/3π(2t)^3
V = 4/3π × 8t^3
V = 32/3 × πt^3
V = 33.5t^3
Answer:
3.88m/s
Explanation:
Using the law of conservation of momentum
m1u1+m2u2 = (m1+m2)v
m1 and m2 are the masses
u1 and 2 are the initial velocities
v is the final velocity
Given
m1 = 64kg
u1 = 4.2m/s
m2 = 25kg
u2 = 3.2m/s
Required
Final velocity v
Substitute the given values into the formula
64(4.2)+25(3.2) = (65+25)v
268.8+80 = 90v
348.8 = 90v
v = 348.8/90
v = 3.88m/s
Hence the velocity of the kayak after the swimmer jumps off is 3.88m/s
