Answer:
375 m.
Explanation:
From the question,
Work done by the frictional force = Kinetic energy of the object
F×d = 1/2m(v²-u²)..................... Equation 1
Where F = Force of friction, d = distance it slide before coming to rest, m = mass of the object, u = initial speed of the object, v = final speed of the object.
Make d the subject of the equation.
d = 1/2m(v²-u²)/F.................. Equation 2
Given: m = 60.0 kg, v = 0 m/s(coming to rest), u = 25 m/s, F = -50 N.
Note: If is negative because it tends to oppose the motion of the object.
Substitute into equation 2
d = 1/2(60)(0²-25²)/-50
d = 30(-625)/-50
d = -18750/-50
d = 375 m.
Hence the it will slide before coming to rest = 375 m
That's good ! I never heard of that before. (Maybe because
I've never been stung by an ant.)
When an ant bites or stings, it injects a tiny amount of 'formic acid'
into your skin. Soon, the formic acid itches, burns, and stings, and
after a while, a little piece of skin dies and falls off. Some people
are seriously allergic to it, and it can make them really sick.
'Acids' and 'bases' are opposites, and one can neutralize (cancel out)
the other. Tony is putting a weak 'base' on the sting, to neutralize the
formic acid that the ant left him as a little gift.
Answer:
ΔV = 0.98 L
Explanation:
First, we will calculate the increased volume using Charles' Law:

where,
V₁ =initial volume = 18.9 L
V₂ = final volume = ?
T₁ = initial temperature = 15°C + 273 = 288 k
T₂ = final temperature = 30°C + 273 = 303 k
Therefore,

V₂ = 19.88 L
Now, we calculate the change in volume:
ΔV = V₂ - V₁ = 19.88L - 18.9 L
<u>ΔV = 0.98 L</u>
This is the volume of gasoline that will spill out.
To solve the problem it is necessary to take into account the concepts related to simple pendulum, i.e., a point mass that is suspended from a weightless string. Such a pendulum moves in a harmonic motion -the oscillations repeat regularly, and kineticenergy is transformed into potntial energy and vice versa.
In the given problem half of the period is equivalent to 1 second so the pendulum period is,

From the equations describing the period of a simple pendulum you have to

Where
g= gravity
L = Length
T = Period
Re-arrange to find L we have

Replacing the values,


In the case of the reduction of gravity because the pendulum is in another celestial body, as the moon for example would happen that,




In this way preserving the same length of the rope but decreasing the gravity the Period would increase considerably.