Answer:
1. 15.64 m/s
2. 2,354,400 seconds
Explanation:
1. 1mile is equivalent to 1609metres and 1hour is equivalent to 3600sec.
35mph = (35×1609)/3600
= 56315/3600
= 15.64 m/s
2. Note that 1 day ===> 24hrs
60min ==> 1hr
60sec ===> 1min
Thus 27.25 days = 27.25×24×60×60
= 2,354,400 seconds
Answer:
44200 N
Explanation:
To calculate the average force exerted on the car, we will use the following equation

Where F is the average force, t is the time, m is the mass, vf is the final velocity and vi is the initial velocity of the car.
Replacing t = 0.5s, m = 1300 kg, vf = -2 m/s, and vi = 15 m/s and solving for F, we get

Therefore, the average force exerted on the car by the wall was 44200 N
Given:
m = 36,287 kg, the mass of the truck
P = 907,175 (kg-m)/s, the truck's momentum.
Let v = the truck's velocity.
By definition, the momentum is
P = m*v
Therefore
v = P/m
= (907175 (kg-m)/s) / (36287 kg)
= 25 m/s
Answer: 25 m/s
The correct answer is:
<span>KE at 4 m/s less than KE at 6 m/s
In fact, the formula for the kinetic energy is:
</span>

<span>where m is the mass of the person and v his speed.
When the person is moving at 4 m/s, his kinetic energy is:
</span>

instead, when he's moving at 6 m/s, his kinetic energy is:

So, the kinetic energy at 4 m/s is less than the kinetic energy at 6 m/s.
Answer:
n=-1 and m=2
Explanation:
A particle is moving uniformly with acceleration "a"
Uniform speed is v
And radius of circle is r
The acceleration is proportional to
r^n and v^m
i.e
a∝ rⁿ
a ∝v^m
Combing the two
Then, a∝rⁿv^m
Let k be constant of proportionality
Then, a=krⁿv^m. Equation 1
So, we know that the centripetal acceleration keeping an object in circular path is given as
a=v²/r
Rearranging
a=v²r^-1. Equation 2
So comparing this to the proportional
Equating equation 1 and 2
krⁿv^m = v²r^-1
This shows that,
k=1
rⁿ = r^-1
Then, n =-1
Also, v^m =v²
Then, m=2
Therefore,
n=-1 and m=2