work done by a variable forceIn a one-dimensional situation,a force given by F(x) = (2.2 − 0.61x2) N acts over a displacement from x = 0 m to x = 0.12 m.What work does the force perform?\x05 A spring,compressed 0.31 m from its equilibrium posit
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![work done by a variable forceIn a one-dimensional situation,a force given by F(x) = (2.2 − 0.61x2) N acts over a displacement from x = 0 m to x = 0.12 m.What work does the force perform?\x05 A spring,compressed 0.31 m from its equilibrium posit](/uploads/image/z/9225648-0-8.jpg?t=work+done+by+a+variable+forceIn+a+one-dimensional+situation%2Ca+force+given+by+F%28x%29+%3D+%282.2+%26%238722%3B+0.61x2%29+N+acts+over+a+displacement+from+x+%3D+0+m+to+x+%3D+0.12+m.What+work+does+the+force+perform%3F%5Cx05+A+spring%2Ccompressed+0.31+m+from+its+equilibrium+posit)
work done by a variable forceIn a one-dimensional situation,a force given by F(x) = (2.2 − 0.61x2) N acts over a displacement from x = 0 m to x = 0.12 m.What work does the force perform?\x05 A spring,compressed 0.31 m from its equilibrium posit
work done by a variable force
In a one-dimensional situation,a force given by F(x) = (2.2 − 0.61x2) N acts over a displacement from x = 0 m to x = 0.12 m.What work does the force perform?
\x05
A spring,compressed 0.31 m from its equilibrium position,is released and returns to its equilibrium position.In doing so it pushes a projectile and accelerates it.The spring constant is 75 N/m.How much work does the spring perform on the projectile?
求大神指教下这两题
我实在不会做了
work done by a variable forceIn a one-dimensional situation,a force given by F(x) = (2.2 − 0.61x2) N acts over a displacement from x = 0 m to x = 0.12 m.What work does the force perform?\x05 A spring,compressed 0.31 m from its equilibrium posit
在一维的情况下,力F(x)=(2.2−0.61x2)N 作用于一个物体,当(物体)有从x = 0 m到x = 0.12 m的位移时,该力做了多少功?
力做功W=∫[x=0,x=0.12]F(x)dx=∫[x=0,x=0.12](2.2−0.61x2)dx=2.2·0.12-0.61/3(0.12³-0)=0.26364864 J
答:力做功为0.26364864焦.
一个弹簧从它的平衡位置被压缩0.31米,然后被释放并返回到其平衡位置,在此过程中,弹簧将弹丸推动并加速.弹簧的常数为75 N/m,弹簧对弹丸做多少功?
弹簧对弹丸施加的力F(x)=kx,X=0.31米,弹簧做功为W=∫[0, 0.31]F(x)dx=0.5kX²=0.5·75·0.31²=0.0360375(J)
答:弹簧做功0.0360375焦.
0.263648
1.1171625