Answer:
Efficiency = 71%
Explanation:
Given the following data:
Output energy = 250 Joules
Input energy = 350 Joules
To find efficiency;
Substituting into the equation, we have;
Efficiency = 71.43 ≈ 71%
Therefore, the efficiency of the candle is 71 percent.
Answer:
v = 7.67 m/s
Explanation:
The equation for apparent weight in the situation of weightlessness is given as:
Apparent Weight = m(g - a)
where,
Apparent Weight = 360 N
m = mass passenger = 61.2 kg
a = acceleration of roller coaster
g = acceleration due to gravity = 9.8 m/s²
Therefore,
360 N = (61.2 kg)(9.8 m/s² - a)
9.8 m/s² - a = 360 N/61.2 kg
a = 9.8 m/s² - 5.88 m/s²
a = 3.92 m/s²
Since, this acceleration is due to the change in direction of velocity on a circular path. Therefore, it can b represented by centripetal acceleration and its formula is given as:
a = v²/r
where,
a = centripetal acceleration = 3.92 m/s²
v = speed of roller coaster = ?
r = radius of circular rise = 15 m
Therefore,
3.92 m/s² = v²/15 m
v² = (3.92 m.s²)(15 m)
v = √(58.8 m²/s²)
<u>v = 7.67 m/s</u>
<span>The
kinetic energy is the work done by the object due to its motion. It is
represented by the formula of the half the velocity squared multiply by the
mass of the object. In this problem, you have two vehicles, the other one is large and the
other one is small. Let us assume that they travel with the same velocity. Note
that the kinetic energy is proportional to the mass of the object. So when you
increase the mass of the other, it also increases the kinetic energy of that
object. The same holds true for the two vehicles. The larger the vehicle, its
kinetic energy is also large and therefore its stopping distance will be longer
than that of the smaller vehicle.</span>
"Three short blasts" sound signal alerts others when a boat is backing up based on the boating safety rule. The short blast is a sound which has one second period, thus three short blasts mean three of this kind of sound. The sound signal is used for alerting anything surrounding the boat to avoid a collision.
