Answer:
F = 5702.56 N
Explanation:
Given that,
Mass of a small car, m = 800 kg
Initial speed of the car, u = 27.8 m/s
Final speed, v = 0
Time, t = 3.9 s
We need to find the force did it take for the car to stop.
The force acting on an object is given by :

So, the magnitude of force acting on the car to stop is 5702.56 N.
Answer:
Explanation:
The different types of radiation are defined by the the amount of energy found in the photons. Radio waves have photons with low energies, microwave photons have a little more energy than radio waves, infrared photons have still more, then visible, ultraviolet, X-rays, and, the most energetic of all, gamma-rays
First compute the resultant force F:



Then use Newton's second law to determine the acceleration vector
for the particle:



Let
and
denote the particle's position and velocity vectors, respectively.
(a) Use the fundamental theorem of calculus. The particle starts at rest, so
. Then the particle's velocity vector at <em>t</em> = 10.4 s is



If you don't know calculus, then just use the formula,

So, for instance, the velocity vector at <em>t</em> = 10.4 s has <em>x</em>-component

(b) Compute the angle
for
:

so that the particle is moving at an angle of about 313º counterclockwise from the positive <em>x</em> axis.
(c) We can find the velocity at any time <em>t</em> by generalizing the integral in part (a):


Then using the fundamental theorem of calculus again, we have

where
is the particle's initial position. So we get



So over the first 10.4 s, the particle is displaced by the vector

or a net distance of about 395 m away from its starting position, in the same direction as found in part (b).
(d) See part (c).
Explanation:
Below is an attachment containing the solution.
Answers:
a) 
b) 
c) 
Explanation:
A unit vector is a vector whose magnitude (length) is equal to 1. This kind of vector is identified as
and the way to calculate is as follows:

Where:
is the vector
is the magnitude of the vector
Having this information clarified, let's begin with the answers:
a) Force Vector

Magnitude of
:

<u />
<u>Unit vector:</u>



b) Displacement Vector

Magnitude of
:

<u />
<u>Unit vector:</u>



c) Velocity Vector

Magnitude of
:

<u />
<u>Unit vector:</u>


