How much force is needed to stretch a spring 1.2 m if the spring constant is 8.5 n/m? 7.1 n 7.3 n 9.7 n 10.2 n

F = 10.2 N

Last option is correct.

Step-by-step explanation:

We can apply Hooke's law to find the force required to stretch the spring.

From Hooke's law, we have

F = k x

Here, F = force required to stretch the spring

k = spring constant

x = length that the spring has been stretched.

We have,

x = 1.2 m

k =8.5

Thus, the force is given by

F = 8.5 × 1.2

F = 10.2 N

Last option is correct.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

⭐⭐

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: