ASSIGNMENT 1) A force of 2N stretches an elastic material by 30mm. what additional
force will stretch the material 35mm? Assume that the elastic limit is not
exceeded

​

If 2N = 30mm

Then ? =35mm

2N×(35mm÷30mm)

2N×1.167

= 2.33N

To get the additional force required, subtract 2N from 2.33N

2.33N - 2N

= 0.33N

∴ The additional force needed is 0.33N

Explanation:

With this question, we establish the principles of proportion. That is, if more less divides and vice versa. If 2N is stretching the material to 30mm, then how  more force will be needed to stretch the material to 35mm?

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.

answer: 2×10^-2kg

explanation: density= mass per volume

vol=mass/density

converting to s.i units we have;

3÷1000kg = 0.003

1.5÷100m = 0.15

0.003/0.15 = 0.02kg