Question

A tension of 35.0N is applied downward on a 2.50kg mass. What is the acceleration of the mass?

-14.0m/s2

-59.5m/s2

-23.8m/s2

-4.20m/s2

A spring with a spring constant of 4.75N/m applies a force of 3.25N when it is stretched. How much was the spring compressed?

0.684m

1.46m

8.00m

15.4m

Answer 1

1) Given:

T = 35 N in the upward direction

mg = force due to gravity in the downward direction.

Let the acceleration be 'a'.

Applying Newton's 2nd law:

mg - T = ma

=> 2.5*9.8 - 35 = 2.5 a

=> a = (2.5*9.8 - 35)/2.5

= - 4.2 m/s/s

Therefore, the correct option is 4th option. [answer]

2) Given:

k = 4.75 N/m

F = 3.25 N

let the compression be 'x'.

Therefore,

F = kx

=> x = F/k

= 3.25/4.75

= 0.684 m

Therefore, the correct option is the first option. [answer]