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Question: A mass of $m$ kg is attached to a spring with a spring constant of $k$ N/m (Figure 1). The spring obeys Hooke's law and friction between the mass and the surface is negligible. Let $x$ denote the distance of the mass from its equilibrium position. m Figure 1: A block of mass $m$ attached to a wall on its right-hand side via a spring with a spring constant $k$. The mass is resting on a surface which has negligible friction. Part 1) The mass is initially at $x = a$ m. A force is applied to move the mass to $x = b$ m. Fill in the integral expression below to calculate the amount of work done by the spring on the mass as the spring is extended. $W = \int_{x_1}^{x_2} f(x)dx$ J where $f(x) = $ $x_1 = $ $x_2 = $ Part 2) Solve this integral to give an expression for the amount of work done by the spring force as the mass is pulled from a to b. $W = $ J Part 3) If the mass is now released from rest at b, what will be its speed as it passes through point a? $v = $ m/s

          Question:
A mass of $m$ kg is attached to a spring with a spring constant of $k$ N/m (Figure 1). The spring obeys Hooke's law and friction between the mass and
the surface is negligible. Let $x$ denote the distance of the mass from its equilibrium position.
m
Figure 1: A block of mass $m$ attached to a wall on its right-hand side via a spring with a spring constant $k$. The mass is resting on a surface which has
negligible friction.
Part 1)
The mass is initially at $x = a$ m. A force is applied to move the mass to $x = b$ m. Fill in the integral expression below to calculate the amount of
work done by the spring on the mass as the spring is extended.
$W = \int_{x_1}^{x_2} f(x)dx$ J
where
$f(x) = $
$x_1 = $
$x_2 = $
Part 2)
Solve this integral to give an expression for the amount of work done by the spring force as the mass is pulled from a to b.
$W = $ J
Part 3)
If the mass is now released from rest at b, what will be its speed as it passes through point a?
$v = $ m/s

Question:
A mass of m kg is attached to a spring with a spring constant of k N/m (Figure 1). The spring obeys Hooke's law and friction between the mass and
the surface is negligible. Let x denote the distance of the mass from its equilibrium position.
m
Figure 1: A block of mass m attached to a wall on its right-hand side via a spring with a spring constant k. The mass is resting on a surface which has
negligible friction.
Part 1)
The mass is initially at x = a m. A force is applied to move the mass to x = b m. Fill in the integral expression below to calculate the amount of
work done by the spring on the mass as the spring is extended.
W = ∫x1^x2 f(x)dx J
where
f(x) =
x1 =
x2 =
Part 2)
Solve this integral to give an expression for the amount of work done by the spring force as the mass is pulled from a to b.
W = J
Part 3)
If the mass is now released from rest at b, what will be its speed as it passes through point a?
v = m/s

Added by Jacob T.

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