An object is displaced by r → = ( 5 m ) i ^ − ( 2…

An object is displaced by r → = ( 5 m ) i ^ − ( 2 m ) j ^ {“version”:”1.1″,”math”:”\vec{r}=(5\,m)\hat{i}-(2\,m)\hat{j}”} while it is acted upon by  F → = − ( 8 N ) i ^ + ( 22 N ) j ^ . {“version”:”1.1″,”math”:”\vec{F}=-(8\, N)\hat{i}+(22\,N)\hat{j}.”}What is the work done on the object by this force?

A thin uniform rod is pivoted at one end and is rotating on…

A thin uniform rod is pivoted at one end and is rotating on a horizontal table. Its angular velocity depends on time according to the following law ω ( t ) = A t 2 + B t + C . {“version”:”1.1″,”math”:”\omega(t) = At^2+Bt+C.”} What are the units of A?

A wave is given by the equation  y ( x , t ) = ( 12  cm )…

A wave is given by the equation  y ( x , t ) = ( 12  cm ) cos ⁡ ( ( 2.5  rad/m ) x − ( 6.0  rad/s ) t + π 4 ) {“version”:”1.1″,”math”:”y(x,t)=(12 \mbox{ cm}) \cos((2.5\mbox{ rad/m})x-(6.0\mbox{ rad/s})t+\frac{\pi}{4})”} What is the wavelength of this wave?

A simple pendulum named Bob has a period of small oscillatio…

A simple pendulum named Bob has a period of small oscillations T=1 s on Earth (assume g=9.80 ms2{“version”:”1.1″,”math”:”ms2″} ).  Bob is flown to a planet X and it is found that now its’ period of small oscillations is 2 s. What is the value of specific gravity on the planet X in  m / s 2 {“version”:”1.1″,”math”:”\mbox{m}/s^2″}?