Answer:
Magnitude of the resultant vector is R = 6.81 m
Explanation:
Given :
Vector A having magnitude of 2.5 m
Vector A having direction 37 degree south of east.
Vector B having magnitude of 3.5 m
Vector B having direction 20 degree north of east.
Therefore, the angle between the two vectors is, θ = 37+20 = 57 degree
So, the resultant of the two vectors are given by




R = 6.81 m
Applying the Newton Second Law of motion that is F=ma
We have F=395.2N (North) and m=259.1Kg
Putting these values in the equation
395.2 = 259.1 x a than
for a = 395.2/259.1
a = 1.525 m/sec 2
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:

Explanation:
Watts are defined as 1 Watt = 1 Joule per second (1W = 1 J/s)
which means that 1 kW = 1000 J/s. A Watt is the amount of energy (in Joules) that an electrical device (such as a light) is burning per second that it's running.
"a black hole forms when any object reaches a certain critical density, and its gravity causes it to collapse to an almost infinitely small pinpoint."
I know its not straight forward with the answer