Answer:
(C) Decreases by factor of 3
Explanation:
Centripetal acceleration is given by

where <em>v</em> is the linear velocity and <em>r</em> is the radius of the curve.
Let the centripetal acceleration on the curve of radius <em>R</em> be
.
Then

Let the centripetal acceleration on the curve of radius 3<em>R</em> be
.
Then

Here, we see that the acceleration decreases by a factor of 3.
Answer:
Number the switches 1, 2 and 3.
Switch on number 1 for 1 minute, then switch it off. Switch on number 2. Go upstairs...
The light that is on is connected to switch 2. The light that is off and warm is connected to switch 1. The light that is off and cold is connected to switch 3!!
Explanation:
NC means North Carolina.
Answer:
The temperatures will increase.
Explanation:
What will happen is that the temperature will increase. This is because, in wind direction and weather forecasting, a wind that shifts from the south means that warmer air/temperatures are approaching whereas a wind shift from the north implies that cooler air/temperatures are approaching.
This is a problem of conservation of momentum
Momentum before throwing the rock: m*V = 96.0 kg * 0.480 m/s = 46.08 N*s
A) man throws the rock forward
=>
rock:
m1 = 0.310 kg
V1 = 14.5 m/s, in the same direction of the sled with the man
sled and man:
m2 = 96 kg - 0.310 kg = 95.69 kg
v2 = ?
Conservation of momentum:
momentum before throw = momentum after throw
46.08N*s = 0.310kg*14.5m/s + 95.69kg*v2
=> v2 = [46.08 N*s - 0.310*14.5N*s ] / 95.69 kg = 0.434 m/s
B) man throws the rock backward
this changes the sign of the velocity, v2 = -14.5 m/s
46.08N*s = - 0.310kg*14.5m/s + 95.69kg*v2
v2 = [46.08 N*s + 0.310*14.5 N*s] / 95.69 k = 0.529 m/s
<span>The work output of a machine divided by the work input is the "Efficiency" of the machine.
Hope this helps!</span>