Answer:
Speed at the bottom of the roller coaster = 49.79 m/s
Explanation:
A new ride being built at an amusement park includes a vertical drop of 126.5 meters. Starting from rest, the ride vertically drops that distance before the track curves forward.
We have to find the speed at the bottom.
Here the gravitational energy fully converts to kinetic energy, so we equate it.
Gravitational energy = 
Kinetic energy = 
=
= 2479.4
Velocity, v = 49.79 m/s
Good for him ! If he's also adhering to a healthy diet, getting plenty of sleep, avoiding substance dependence, and minimizing his stress level, then he's doing everything he can to maximize his chances for a long, healthy, pleasant and rewarding fun life.
Answer:
The ramp lands at an horizontal distance of 3.989 m
Explanation:
Range: Range is defined as the horizontal distance of a projectile from the point of projection to the point where the projectile hits the projection plane again. It is measure in meters (m)
R = U²sin2∅/g..................................... Equation 1
Where R = The horizontal distance from the end of the ramp, U = rider's speed, ∅ = the ramp's angle to the horizontal.
<em>Given: U = 6.3 m/s, ∅ = 40°, g = 9.8 m/s²</em>
<em>Substituting these values into equation 1</em>
<em>R = [6.3²sin2(40)]/9.8</em>
<em>R = (39.69×sin80)/9.8</em>
<em>R = 39.69×0.985/9.8</em>
R = 3.989 m
Thus the ramp lands at an horizontal distance of 3.989 m
Explanation:
Specific heat of a substance is defined as the amount of heat that is required to raise the temperature of one mole or mass of a substance by 1°C.
The total amount of heat of a substance is the amount of heat required to raise the temperature of the given mass of the substance by 1°C.
Specific heat is an intensive property and does not depend on the amount of matter that is present within a substance.
Total amount of heat is an extensive property of matter and it is predicated on the amount of matter present.
