GENERAL KNOWLEDGE

GK

PHYSICS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
A spring, which obeys Hooke’s law, has an unstretched length of 10 cm. A load of 20N is suspended from the spring. The new length of the spring is 36 cm. What is the spring constant k of the spring?
A
0.56 N/ cm
B
0.77 N/ cm
C
1.3 N/ cm
D
1.8 N/ cm
Explanation: 

Detailed explanation-1: -A spring, which obeys Hooke’s law, has an unstretched length of 10 cm. A load of 20 N is suspended from the spring. The new length of the spring is 36 cm.

Detailed explanation-2: -F =-kx. The proportional constant k is called the spring constant. It is a measure of the spring’s stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F =-kx in a direction towards its equilibrium position.

Detailed explanation-3: -Mathematically, Hooke’s law states that the applied force F equals a constant k times the displacement or change in length x, or F = kx.

Detailed explanation-4: -W = kx. W is the weight of the added mass. Therefore, the spring constant k is the slope of the straight line W versus x plot. Weight is mass times the acceleration of gravity or W = mg where g is about 980 cm/sec2.

Detailed explanation-5: -It’s used to determine stability or instability in a spring, and therefore the system it’s intended for. As a formula, it reworks Hooke’s Law and is expressed through the equation: k = – F/x. Where k is the spring constant, F is the force applied over x, and x is the displacement by the spring expressed in N/m.

There is 1 question to complete.