Answer:
a) t = 2.64s
b) Vf = -28.7m/s
Explanation:
If the balloon is descending, the velocity is -2.3m/s. So the equation to describe the postion of the falling camera is:

Solving for t, we get:
t1 = -3.1s and t2 = 2.64s We discard the negative time and use the positive one.
The velocity of the camera will be:
Vf = Vo - g*t = -2.3 - 10*2.64 = -28.7m/s
Answer:

Explanation:
Coefficients of Friction
Objects in physical contact produce friction which usually manifests as thermal energy being dissipated in the surface where the objects are interacting. It's usually harder to start to move an object from rest, that keeps moving it at a constant speed on the same surface. That is why there are two different coefficients of friction: the static and the dynamic. As mentioned, the static coefficient
is greater than the dynamic coefficient
. The car is already moving and is attempting to stop. The coefficient of friction is defined as

Where Fr is the force of friction and N is the normal or the force the road pushes back up on the car. With the given data, we have


The coefficient of friction is dimensionless (doesn't have any units)
The emerging velocity of the bullet is <u>71 m/s.</u>
The bullet of mass <em>m</em> moving with a velocity <em>u</em> has kinetic energy. When it pierces the block of wood, the block exerts a force of friction on the bullet. As the bullet passes through the block, work is done against the resistive forces exerted on the bullet by the block. This results in the reduction of the bullet's kinetic energy. The bullet has a speed <em>v</em> when it emerges from the block.
If the block exerts a resistive force <em>F</em> on the bullet and the thickness of the block is <em>x</em> then, the work done by the resistive force is given by,

This is equal to the change in the bullet's kinetic energy.

If the thickness of the block is reduced by one-half, the bullet emerges out with a velocity v<em>₁.</em>
Assuming the same resistive forces to act on the bullet,

Divide equation (2) by equation (1) and simplify for v<em>₁.</em>

Thus the speed of the bullet is 71 m/s