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A 62.1kg mal ice skater is facing a 42.8kg female ice skater. they are at rest on theice they push off each other and move in opposite directions. The female skatermoves backwards with a speed of 3.11 m/s. determine the post-impulse speed of the male skater.

I know that angular momentum can be expressed in terms of moment of inertia tensor as follows,
$\stackrel{\to <!--\; \to \; -->}{L}=I_{\text{tensor}}\stackrel{\to <!--\; \to \; -->}{w}$
My question is how to get this definition from tensor definition of it ?

Express 40 Celsium in Fahrenheit
It turns out that 40°C is the same temperature as -40°F, Is there a temperature at which the Kelvin and Celsius scales agree?

Can two objects move together during an elastic collision before moving apart? Or would this be considered an inelastic collision since during the time in which the objects were stuck moving together, the kinetic energy was reduced.

The formula for percent difference is: $\text{\% Difference }=\frac{|E_1-<!--\; -\; -->E_2|}{\frac{1}{2}(E_1+E_2)}\cdot <!--\; \cdot \; -->100$
Find the percent difference between these 2 values.
Value 1=1.0013 bars
Value 2=0.04955 bars

Could one calculate the relative speed of the Sun viewed from the Earth?

Suppose there is a U shaped frictionless skateboard ramp. If I put on far top left of the ramp and then release it until it reaches top left then from $\mathrm{\Delta <!--\; \Delta \; -->}K=W_{tot}=0$ because initial and final velocity is 0. I am quite confused that total work is zero. When I think in terms of $W_{tot}={\int <!--\; \int \; -->}_a^b{\stackrel{\to <!--\; \to \; -->}{F}}_{net}\cdot <!--\; \cdot \; -->\stackrel{\to <!--\; \to \; -->}{dr}$ I think the total work should be non zero because it seems that the force is always inclined with the dr direction. Why does it seems to be contradicting each other?​

The speed of light is $3.00\times <!--\; \times \; -->{10}^{8}m/s$. How fast is this in mph? Use the conversion $1\text{ mile }=1610m.$

A furlong is a distance of 220 yards. A fortnight is a time period of two weeks. A race horse is running at a speed of 5.00 yards per second. What is his speed in furlongs per fortnight?

A train stops at two stations A and B. It accelerates from rest from station A to a speed of $144km/h^{-<!--\; -\; -->1}$ in 3 minutes and maintains this speed for 10 minutes. It then decelerates for 2 minutes and comes to rest at station B. Find the total distance between A and B.

The human body temperature in Kelvin scale $=309.5K^0$. it is equivalent to what temperatures in $C^0\text{ and }{F}^0$ scales respectively

A 83.0 kg ice hockey player hits a 0.150 kg puck, giving the puck a velocity of 34.0 m/s. If both are initially at rest and if the ice is frictionless, how far (in m) does the player recoil in the time it takes the puck to reach the goal 21.0 m away? (Enter the magnitude.)

Why center of mass constant is zero?
$\begin{array}{}\text{(1)}& {\stackrel{\to <!--\; \to \; -->}{P}}^{\prime }=\sum <!--\; \sum \; -->(m_i{\stackrel{\to <!--\; \to \; -->}{v}}_i^{\prime })=\sum <!--\; \sum \; -->[m_i({\stackrel{\to <!--\; \to \; -->}{v}}_i-<!--\; -\; -->\stackrel{\to <!--\; \to \; -->}{u})]=\stackrel{\to <!--\; \to \; -->}{P}-<!--\; -\; -->M\stackrel{\to <!--\; \to \; -->}{u}=0\end{array}$

What can we tell about Torque from the equation τ = F R sinɸ, where F is the torquing force, R is the distance from the pivot point to where the force is applied, and ɸ is the angle between the two?
What can we tell about Torque from the equation τ = F R sinɸ, where F is the torquing force, R is the distance from the pivot point to where the force is applied, and ɸ is the angle between the two?
Select one:
a.
Torque is proportional to the force applied
b.
Torque depends on where the force is applied (the distance to the pivot point)c.Torque depends on the angle between the applied force vector and the vector pointing from the pivot point to where the force is applied
d. All of the above
Remembering that $\mathrm{\ell <!--\; \ell \; -->}=R\sin <!--\; \; -->\mathrm{\varphi <!--\; \varphi \; -->}$ and $\mathrm{\tau <!--\; \tau \; -->}=F\mathrm{\ell <!--\; \ell \; -->}$ if we are given a certain torquing force, 10 N, to act on a wheel of radius 2m, what is the maximum torque we can apply?
Select one:
a. $20N\cdot <!--\; \cdot \; -->m$
b. $0N\cdot <!--\; \cdot \; -->m$
c. $5N\cdot <!--\; \cdot \; -->m$
d. $10N\cdot <!--\; \cdot \; -->m$
For linear equilibrium, net force, $F=ma=0$, by newton's second law. What would Newton's Second Law for Rotations be for a system in rotational equilibrium? i.e. how can we express the net torque for a system with constant angular velocity? Let τ represent net torque, α represent angular velocity, I represent moment of inertia, and m and a represent mass and linear acceleration as usual.
Select one:
a. $\mathrm{\tau <!--\; \tau \; -->}=ma=0$ because $m=0$
b. $\mathrm{\tau <!--\; \tau \; -->}=I\alpha =0$ because $\alpha =0$
c. $\mathrm{\tau <!--\; \tau \; -->}=ma=0$ because $a=0$
d. $\mathrm{\tau <!--\; \tau \; -->}=I\alpha =0$ because $I=0$
The idea of the force multiplier in torque is sometimes referred to as leverage. There is a famous quote from Archimedes that goes, 'Give me a fixed point and a lever long enough and I shall move the world.' How can we understand this in terms of leverage?
Select one:
a. Long levers are not useful
b. Long levers can generate large forces
c. Leverage doesn't matter when torquing forces are applied
d. Leverage has little read-world application
How does Conservation of Angular Momentum help to produce seasons on Earth?
Select one:a. Conservation of Angular Momentum results in the Earth orbiting closer to the Sun in the Summer
b. The Earth’s rotational axis points in the same direction in space throughout its orbit around the Sun due to Conservation of Angular Momentum
c. The Earth’s rotational axis points in a different direction each 6 months due to Conservation of Angular Momentum
d. Conservation of Angular Momentum results in the Earth's rotational axis always pointing towards the Sun

Why do objects with lower rotational inertia have more translational kinetic energy?

On average, a blink lasts about 104 ms. How far (inm) does a MiG-25 "Foxbat" fighter travel during a pilot'sblink if the plane's average velocity is 2220 mph?