Physics, 29.10.2019 18:31 Alexandram2163

How much time would simpson save by increasing his average velocity to 26m/s east?

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Answer from: EssenceBlocker144

8 minutes

Explanation:

Part of the question is missing. Complete question is:

Simpson drives his car 144 km with an average velocity of 24 m/s toward the east. How much time would Simpson save by increasing his average velocity to 26m/s East?

Solution:

First of all, we have to calculate the time it takes for Simpson to complete the drive moving at the initial velocity, 24 m/s. We can use the formula:

$t=\frac{d}{v}$

where

$d=144 km = 1.44\cdot 10^5 m$ is the displacement

v=24 m/s is the velocity

Substituting,

$t=\frac{1.44\cdot 10^5}{24}=6000 s = 100 min$

While driving at 26 m/s, the time taken will be

$t=\frac{1.44\cdot 10^5}{26}=5538 s=92 min$

So, Simpson will save 8 minutes.

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

Answer from: Quest

Answer form flower;

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