Answer:

Explanation:
In this case we have to use the Principle of conservation of Momentum:
<em>This principle says that in a system the total momentum is constant if no external forces act in the system. The formula is:</em>

<em>Where:</em>
Mass of the first object.
Mass of the second object.
Initial velocity of the first object.
Initial velocity of the second object.
Final velocity of the first object.
Final velocity of the second object.
In <u>this problem</u> we have:


Observation:
Is because the system has the same initial velocity.
First we have to find
,

We can rewrite it as:

Replacing with the data:

We found the final velocity of the cart, but the problem asks for the resulting change in the cart speed, this means:

Then, the resulting change in the cart speed is:

I believe the answer is true
Answer:
h = 81.63 m
Explanation:
Given that,
The speed of the car, v = 40 m/s
We need to find the height when the car comes to rest. We can use the conservation of energy to find it i.e.

So, it will reach to a height of 81.63 m and comes to rest.
Answer:
a)
, b)
, c) 
Explanation:
a) The equation of state for ideal gas is:

Given the existence of an isothermal process, the following relation is derived:

The volume of the other tank is:



The total volume is:



b) The total mass is:



c) The pressure of the gas in the two tanks is:



Answer:
SKID
Explanation:
In general, airplane tracks are flat, they do not have cant, consequently the friction force is what keeps the bicycle in the circle.
Let's use Newton's second law, let's set a reference frame with the horizontal x-axis and the vertical y-axis.
Y axis y
N- W = 0
N = W
X axis (radial)
fr = m a
the acceleration in the curve is centripetal
a =
the friction force has the expression
fr = μ N
we substitute
μ mg = m v²/r
v =
we calculate
v =
v = 1,715 m / s
to compare with the cyclist's speed let's reduce to the SI system
v₀ = 18 km / h (1000 m / 1 km) (1 h / 3600 s) = 5 m / s
We can see that the speed that the cyclist is carrying is greater than the speed that the curve can take, therefore the cyclist will SKID