Question

The force an ideal spring exerts on an object is given by , where measures the displacement of the object from its equilibrium position. If , how much work is done by this force as the object moves from to

Answer 1

The correct answer is "1.2 J".

Step-by-step explanation:

Seems that the given question is incomplete. Find the attachment of the complete query.

According to the question,

• x₁ = -0.20 m
• x₂ = 0 m
• k = 60 N/m

Now,

⇒
`W=\int_(x_1)^(x_2)F \ dx`

⇒
`=\int_(x_1)^(x_2)-kx \ dx`

⇒
`=-k \int_(-0.20)^(0)x \ dx`

By putting the values, we get

⇒
`=-(60)[(x^2)/(2) ]^0_(-0.20)`

⇒
`=-60[(0)/(2)-(0.04)/(2) ]`

⇒
`=1.2 \ J`