Answer:
Explanation:
When a spring is compressed, the force exerted by the spring is given by:
where
k is the spring constant
x is the compression of the spring
In this problem we have:
k = 52 N/m is the spring constant
x = 43 cm = 0.43 m is the compression
Therefore, the force exerted by the spring on the dart is
Now we can apply Newton' second law of motion to calculate the acceleration of the dart:
where
F = 22.4 N is the force exerted on the dart by the spring
m = 75 g = 0.075 kg is the mass of the dart
a is its acceleration
Solving for a,
Answer:
V = - 0.5 [m/s]
Explanation:
In order to solve this problem, we must use the principle of relative speeds. This is for an observer who is on the edge of the river he can see how the river moves to the left and the woman tries to move to the right but can not since:
That is, the person sees how the woman moves to the left but with avelocity of 0.5 [m/s] to the left
Answer:
Explanation:
Since the temperature in degrees Fahrenheit in terms of the Celsius is given by the formula and the temperature in degrees Celsius in terms of the Kelvin temperature is given by the formula
, we can use the second formula and substitute it straight into the first formula (since a simplification is not being asked), obtaining
.
To solve this problem it is necessary to apply the concepts related to the Power defined from the Stefan-Boltzmann equations.
The power can be determined as:
Making the relationship for two states we have to
Since the final power is 8 times the initial power then
Substituting,
The temperature increase would then be subject to
The correct option is D, about 68%