Answer:

Explanation:
m = Mass of bungee jumper = 55 kg
g = Acceleration due to gravity = 
h = Height at the bottom = 40 m
k = Spring constant
x = Displacement of bungee cord = 25 m
Applying the principle of conservation of energy to the system we have

The spring constant of the bungee cord is
.
Answer:
Of the three stars in the system, the dimmest - called Proxima Centauri - is actually the nearest star to the Sun. The two bright stars, called Alpha Centauri A and B form a close binary system; they are separated by only 23 times the Earth - Sun distance.
Answer:
31.8 m in the positive x-direction
Explanation:
Here we have an example of multiplication of a vector by a scalar.
In order to perform this operation, we have to:
- multiply the magnitude of the vector by the scalar
- reverse the direction of the vector if the scalar is a negative number
In this problem, the original vector has a lenght of 8.6 m and it points in the negative x direction. Now we have to find the vector -3.7A, so we have:
- The magnitude is obtained by calculating the product

- The direction is reversed, because the scalar is -3.7, so the new vector will point in the positive x-direction
So the final vector is 31.8 m in the positive x-direction, and therefore its x-component is also 31.8 m in the positive direction.
The time required by the car to stop is 4.916 sec.
Since the car is moving with the constant deceleration we can apply the first equation of motion to calculate the time required by the car to stop.
The first equation of motion is given as
V=u+at
Here, V=final speed of the car=0 mi/h as the car stops
u =initial speed of the car=55 mi/hr=24.58 m/s
a= acceleartion =-5 m/s^2 (here negative sign indicates for deceleration)
Now applying the values in the first equation
V=u+at
0=24.58-5*t
t=4.916 sec
Therefore the car will stops in 4.916 sec.
Answer:
According to the standard big bang model of cosmology, time began together with the universe in a singularity approximately 14 billion years ago.
Explanation: the big bang