Question

1. A 1000-kg car moves as speed from 10 m/s to 30 m/s in 20 seconds. What is the average speed? What is the acceleration? What is the average force acting upon it? If the car turns along a circle at speed 5 m/s around a curve 30 meters in radius, how big the centripetal force is needed?

Answer 1

Explanation:

Given parameters:

Mass of car = 1000kg

initial speed = 10m/s

final speed = 30m/s

time taken = 20s

For centripetal force:

velocity = 5m/s

radius = 30m

Unknown:

Average speed  = ?

Acceleration = ?

Average force = ?

Centripetal force = ?

Solution:

Average speed is the rate of change of distance with time.

In this problem, we were given two speeds and we will simply just find their average. We sum them up and divide by 2

  Average speed =  $\frac{initial speed + final speed }{2}$

 Average speed = $\frac{10 + 30}{2}$ = 20m/s

Acceleration is the change in the velocity or speed of a body with time.

     Acceleration = $\frac{final speed - initial speed }{time}$

     Acceleration = $\frac{30 - 10}{20}$ = 1m/s²

Average force on the car is the product of its mass and acceleration:

  Acceleration = mass x acceleration

   Acceleration = 1000 x 1 = 1000N

Centripetal force is the inward pull when a body moves round a fixed center.

It is given as:

  F = $\frac{mv^{2} }{r}$

m is the mass of the body

v is the velocity

r is the radius

input the parameters:

   F = $\frac{1000 x 5^{2} }{30}$ = 833.3N

learn more:

Acceleration brainly.com/question/11025333

Motion brainly.com/question/2863017

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