Red dwarfs include the smallest stars commonly weighing between 0.075 to 0.50 percent the mass of the sun, their small size means they burn at a slower rate meaning a dwarf star is to long exceed the life of the universe, their reduced mass also means their surface is very cool
Answer:
Explanation:
If friction is neglected, the wheel cannot roll and can only slide frictionlessly and will have the same velocity at the bottom of the ramp as if it had been in free fall as it has converted the same amount of potential energy.
mgh = ½mv²
v = √(2gh) = √(2(9.81)(2.00)) = 6.26418... = 6.26 m/s
However if we do not ignore all friction and the wheel rolls without slipping down the slope, the potential energy becomes linear and rotational kinetic energy
mgh = ½mv² + ½Iω²
mgh = ½mv² + ½(½mR²)(v/R)²
2gh = v² + ½v²
2gh = 3v²/2
v = √(4gh/3) =√(4(9.81)(2.00)/3) = 5.11468... = 5.11 m/s
Answer:
a) 
Explanation:
a) Let consider that disk accelerates and decelerates at constant rate. The expression for angular acceleration and deceleration are, respectively:
Acceleration

Deceleration

Since angular acceleration and deceleration have same magnitude but opposite sign. Let is find the maximum allowed angular speed from maximum allowed centripetal acceleration:




Maximum magnitude of acceleration/deceleration is:

The least time require for rotation is:


Sports drinks do offer some benefits when comparing sports drinks vs. water. While water actually works better at fluid replacement, sports drinks are often more appealing to the palate. In other words, people who enjoy the taste of sports drinks may drink more of a sports drink than they would water; this will lead to better hydration.
Sports drinks also contain electrolytes and carbohydrates. While exercising for short periods of time, it is not necessary to replace electrolytes; however, athletes and marathon participants exercising for period of an hour or more can benefit from electrolyte replacement in particular. Carbohydrates offer the body energy. When the body burns calories, it needs carbohydrates to replace energy lost. The longer the workout, the more carbohydrates are needed.