Answer:
negative force
Explanation:
Here woman is applying the force to stop the child or to prevent him from running.
Here we know that the force applied by the woman is opposite to the motion of child but here the child is not displaced by this applied force but the child is only prevented his running.
So here the work done by the woman is zero as there is no displacement by this force.
But here we can say that the the force of woman is against the motion of child so here this force is opposite force and hence it is termed as negative force here.
so correct answer will be
negative force
Answer:
to mack boats float
Explanation:
without it the boats will sink to the bottom
Answer:
Explanation:
350 N force stretches the spring by 30 cm
spring constant K = 350 / 0.30 = (350 / 0.3) N / m
To calculate work done by a spring force we proceed as follows
spring force when the spring is stretched by x = Kx
This force is variable so work done by it can be calculated by integration
Work done by it in stretching from x₁ to x₂
W = ∫ F dx
= ∫ Kx dx with limit from x₁ to x ₂
= 1/2 K ( x₂² - x₁² )
Putting the given values of x₁ = 0.50 m , x₂ = 0.8 m
Work done
= 1/2 x (350 / 0.3)x ( 0.80² - 0.50² )
= 227.50 J
147.09975 newton meters per second
Answer:
![T_{2}=278.80 K](https://tex.z-dn.net/?f=T_%7B2%7D%3D278.80%20K%20)
Explanation:
Let's use the equation that relate the temperatures and volumes of an adiabatic process in a ideal gas.
.
Now, let's use the ideal gas equation to the initial and the final state:
![\frac{p_{1} V_{1}}{T_{1}} = \frac{p_{2} V_{2}}{T_{2}}](https://tex.z-dn.net/?f=%5Cfrac%7Bp_%7B1%7D%20V_%7B1%7D%7D%7BT_%7B1%7D%7D%20%3D%20%5Cfrac%7Bp_%7B2%7D%20V_%7B2%7D%7D%7BT_%7B2%7D%7D)
Let's recall that the term nR is a constant. That is why we can match these equations.
We can find a relation between the volumes of the initial and the final state.
![\frac{V_{1}}{V_{2}}=\frac{T_{1}p_{2}}{T_{2}p_{1}}](https://tex.z-dn.net/?f=%20%5Cfrac%7BV_%7B1%7D%7D%7BV_%7B2%7D%7D%3D%5Cfrac%7BT_%7B1%7Dp_%7B2%7D%7D%7BT_%7B2%7Dp_%7B1%7D%7D)
Combining this equation with the first equation we have:
![(\frac{T_{1}p_{2}}{T_{2}p_{1}})^{\gamma -1} = \frac{T_{2}}{T_{1}}](https://tex.z-dn.net/?f=%28%5Cfrac%7BT_%7B1%7Dp_%7B2%7D%7D%7BT_%7B2%7Dp_%7B1%7D%7D%29%5E%7B%5Cgamma%20-1%7D%20%3D%20%5Cfrac%7BT_%7B2%7D%7D%7BT_%7B1%7D%7D)
![(\frac{p_{2}}{p_{1}})^{\gamma -1} = \frac{T_{2}^{\gamma}}{T_{1}^{\gamma}}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bp_%7B2%7D%7D%7Bp_%7B1%7D%7D%29%5E%7B%5Cgamma%20-1%7D%20%3D%20%5Cfrac%7BT_%7B2%7D%5E%7B%5Cgamma%7D%7D%7BT_%7B1%7D%5E%7B%5Cgamma%7D%7D)
Now, we just need to solve this equation for T₂.
![T_{1}\cdot (\frac{p_{2}}{p_{1}})^{\frac{\gamma - 1}{\gamma}} = T_{2}](https://tex.z-dn.net/?f=T_%7B1%7D%5Ccdot%20%28%5Cfrac%7Bp_%7B2%7D%7D%7Bp_%7B1%7D%7D%29%5E%7B%5Cfrac%7B%5Cgamma%20-%201%7D%7B%5Cgamma%7D%7D%20%3D%20T_%7B2%7D%20)
Let's assume the initial temperature and pressure as 25 °C = 298 K and 1 atm = 1.01 * 10⁵ Pa, in a normal conditions.
Here,
Finally, T2 will be:
![T_{2}=278.80 K](https://tex.z-dn.net/?f=T_%7B2%7D%3D278.80%20K%20)