A car of 1000 kg starts to move from rest and travels a distance of 150 m in 10 second. How much force is needed?

Mathematics

1 answer:

allsm [11]2 years ago

3 0

Initial velocity=u=0m/s
Distance=s=150m
Time=t=10s
Acceleration=a

Using second equation of kinematics

$\\ \sf\longmapsto s=ut+\dfrac{1}{2}at^2$

$\\ \sf\longmapsto 150=0(10)+\dfrac{1}{2}a(10)^2$

$\\ \sf\longmapsto 150=\dfrac{1}{2}\times 100a$

$\\ \sf\longmapsto 50a=150$

$\\ \sf\longmapsto a=\dfrac{150}{50}$

$\\ \sf\longmapsto a=3m/s^2$

Mass=m=1000kg
Force=F

Using newtons second law

$\\ \sf\longmapsto F=ma$

$\\ \sf\longmapsto F=1000(3)$

$\\ \sf\longmapsto F=3000N$

You might be interested in

The number of bank robberies that occur in Lagos is modeled to be Poisson distributed with mean of 1.8 per day. Find the probabi

cupoosta [38]

The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.

The probability of getting exactly three robberies in a day is 0.1607.

<h3>What is meant by poison distribution?</h3>

The Poisson distribution is a discrete probability distribution used in probability theory and statistics to express the likelihood that a given number of events will occur within a specified time or space interval if they occur at a known constant mean rate and regardless of the interval since the last event.

The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.

In the poison distribution a discrete random variable X has the following probability mass function,

$P(X=x)=\frac{e^{-\lambda} \cdot \lambda^x}{x !}$ , where $\lambda$ is the mean of the distribution and $x=0,1,2,3 \ldots \ldots$