refer to picture. A spring has a force constant of 2.000 N/m. The work done in...

Question

Question

refer to picture.

A spring has a force constant of 2.000 N/m. The work done in stretching the spring from a length of 30.0 cm to a length of 36

Answer 1

Answer #1

a) 3.6 J is correct answer

Solution :-

Spring constant k = 2000 N/m

Stretch in the spring ∆x = ( 36 - 30 ) cm = 6cm = .06 m

Work done in stretching a spiring is given by = 1/2 ( k . ∆x²)

= 1/2 ( 2000 X 0.06²)

= 1/2 X 2000 X .0036

= 3.6 J

So, the work done in stretching a string from 30 cm to 36 cm is 3.60 J

Answer 2

Similar Homework Help Questions

A spring with spring constant 110 N/m and unstretched length 0.4 m has one end anchored...

A spring with spring constant 110 N/m and unstretched length 0.4 m has one end anchored to a wall and a force F is applied to the other end. If the force F does 205 J of work in stretching out the spring, what is the magnitude of F at maximum elongation? Express your answer in newtons.
A spring has natural length 24 cm. Compare the work W1 done in stretching the spring from 24 cm to 34 cm with the work W2 done in stretching it from 34 to 44 cm. (Use k for the spring constant) W1 = _...

A spring has natural length 24 cm. Compare the work W1 done in stretching the spring from 24 cm to 34 cm with the work W2 done in stretching it from 34 to 44 cm. (Use k for the spring constant) W1 = ______J W2 = ______J How are W2 and W1 related? W2 =______ W1
7. A force of 40 N is required to hold a spring that has been stretched...

7. A force of 40 N is required to hold a spring that has been stretched from its natural length of 10 cm to a length of 16 cm. How much work is done in stretching the spring from 13 cm to 17 cm?

refer to picture. A 10.0 g bullet is shot straight up and has initial kinetic energy...

refer to picture. A 10.0 g bullet is shot straight up and has initial kinetic energy of 2.50 kJ. The speed of the bullet when it is halfway to maximum height is equal to a. 250 m/s 354 m/s 500 m/s 707 m/s 1,000 m/s re constant of 2.990 N/m. The work done in stretching the spring
Work and Energy Homework 2 1.) A spring with constant 300 N/m is 0) to be...

Work and Energy Homework 2 1.) A spring with constant 300 N/m is 0) to be 8 cm longer. a.) How much work is done to the spring while stretching? b.) It the spring is stretched twice as far, how much work will be done? c) Is the work in the spring stored, or must the energy immediately change onm?
A massless spring of a spring gun has a force constant k=800 N/m. A ball of...

A massless spring of a spring gun has a force constant k=800 N/m. A ball of mass 0.5 kg is resting on top of the spring. The ball compresses the spring by d as shown in the right figure. When the gun is fired vertically, the ball reached a maximum height of 5 m from the top of the spring as it returns to its natural length. Calculate how much the spring was initially compressed (d). (a) 12 cm; (b)...

The force constant of a spring is 141 N/m. Find the magnitude of the force required...

The force constant of a spring is 141 N/m. Find the magnitude of the force required to compress the spring by 4.70 cm from its unstretched length. N Find the magnitude of the force required to stretch the spring by 7.96 cm from its unstretched length. N
A spring whose spring constant is 947.7 N/m has been stretched by a force of 5.5...

A spring whose spring constant is 947.7 N/m has been stretched by a force of 5.5 N in the +x direction. Its full stretched length is measured to be 10.6 cm. What is the original, unstretched length of this spring?
(1 point) Finding the work done in stretching or compressing a spring. Hooke's Law for Springs....

(1 point) Finding the work done in stretching or compressing a spring. Hooke's Law for Springs. According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x) = kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive. Part 1. Suppose that it takes...

A 300 g block is dropped onto a relaxed vertical spring that has a spring constant...

A 300 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 2.1 N/cm. The block becomes attached to the spring and compresses the spring 12 cm before momentarily stopping. (a) While the spring is being compressed, what work is done on the block by the gravitational force on it? J (b) What work is done on the block by the spring force while the spring is being compressed? J (c) What is...