The board is 2.50m high.
Why?
We can calculate how high was the board applying the Law of Conservation of Mechanical Energy. This Law states that the mechanical energy (kinematic and potential) will be conserved during the motion.
It can be described with the following formula:


At the top of the boar, the kinetic energy is equal to 0.
At the water, the potential energy is equal to 0.
So,

Hence, we have that the board is 2.50m high.
Have a nice day!
Answer:
speed of the Jon visiting parents = 56 mph
speed of the Jon when returning from home = 56 - 14 = 42 mph
Explanation:
given,
distance of Jon parent's house = 648 mile
avg speed when he was visiting his parent's house be 'x' mph
avg speed when he is returning from his parent's house be 'x-14' mph
total time taken = 27 hours
total distance = speed × time
648 = x × t₁

648 = ( x - 14 ) × t₂

t = t₁ + t₂


x² - 62 x + 336 = 0
x² - 56 x - 6 x + 336 = 0
(x - 56 )(x - 6)=0
on solving
x = 56 ,6
hence, speed of the Jon visiting parents = 56 mph
speed of the Jon when returning from home = 56 - 14 = 42 mph
Answer:
the radius of the protons path is r = 0.85 m.
Explanation:
the force due to magnetic fields lead to the cetripetal force, such that:
F = q×v×B = m×(v^2)/r
q×B = m×v/r
then:
r = m×v/q×B
r = p/q×B
then, the kinetic energy of the proton:
K = 1/2×m×v^2 = p^2/(2×m)
q×B = \sqrt{2×m×K}/r
r = \sqrt{2×m×K}/(q×B)
= \sqrt{2×(1.67×10^-27)×(5.3×1.60×10^-13)}/(1.60×10^-19×0.39)
= 0.85 m
Answer:
Explanation:
Volume of block A = 10 x 6 x 1 = 60 cm³
Mass of block A = 630 g
density of mass A = mass / density
= 630 / 60 = 10.5g / cm³
Volume of block B = 5 x 5 x 3 = 75 cm³
Mass of block A = 604 g
density of mass A = mass / density
= 604 / 75 = 8.05 g / cm³
Since density of both A and B are less than that of mercury , both will float in mercury.