Those are all "acceleration", caused by
unbalanced forces acting on the object.
Answer:
![v_1 = 3.5 \ m/s](https://tex.z-dn.net/?f=v_1%20%20%3D%203.5%20%5C%20m%2Fs)
Explanation:
Given that :
mass of the SUV is = 2140 kg
moment of inertia about G , i.e
= 875 kg.m²
We know from the conservation of angular momentum that:
![H_1= H_2](https://tex.z-dn.net/?f=H_1%3D%20H_2)
![mv_1 *0.765 = [I+m(0.765^2+0.895^2)] \omega_2](https://tex.z-dn.net/?f=mv_1%20%2A0.765%20%3D%20%5BI%2Bm%280.765%5E2%2B0.895%5E2%29%5D%20%5Comega_2)
![2140v_1*0.765 = [875+2140(0.765^2+0.895^2)] \omega_2](https://tex.z-dn.net/?f=2140v_1%2A0.765%20%3D%20%5B875%2B2140%280.765%5E2%2B0.895%5E2%29%5D%20%5Comega_2)
![= 3841.575 \omega_2](https://tex.z-dn.net/?f=%3D%203841.575%20%5Comega_2)
![\omega_2 = \frac{1637.1 v_1}{3841.575}](https://tex.z-dn.net/?f=%5Comega_2%20%3D%20%5Cfrac%7B1637.1%20v_1%7D%7B3841.575%7D)
![\omega _2 = 0.4626 \ v_1](https://tex.z-dn.net/?f=%5Comega%20_2%20%3D%200.4626%20%5C%20v_1)
From the conservation of energy as well;we have :
![T_2 +V_{2 \to 3} = T_3 \\ \\ \\ \frac{1}{2} I_A \omega_2^2 - mgh =0](https://tex.z-dn.net/?f=T_2%20%2BV_%7B2%20%20%5Cto%203%7D%20%3D%20T_3%20%5C%5C%20%5C%5C%20%5C%5C%20%20%5Cfrac%7B1%7D%7B2%7D%20I_A%20%5Comega_2%5E2%20-%20mgh%20%3D0)
![[\frac{1}{2} [875+2140(0.765^2+0.895^2)](0.4262 \ v_1)^2 -2140(9.81)[\sqrt{0.76^2+0.895^2} -0.765]] =0](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7B2%7D%20%5B875%2B2140%280.765%5E2%2B0.895%5E2%29%5D%280.4262%20%5C%20v_1%29%5E2%20-2140%289.81%29%5B%5Csqrt%7B0.76%5E2%2B0.895%5E2%7D%20-0.765%5D%5D%20%3D0)
![706.93 \ v_1^2 - 8657.49 =0](https://tex.z-dn.net/?f=706.93%20%5C%20v_1%5E2%20-%208657.49%20%3D0)
![706.93 \ v_1^2 = 8657.49](https://tex.z-dn.net/?f=706.93%20%5C%20v_1%5E2%20%20%3D%208657.49)
![v_1^2 = \frac{8657.49}{706.93 }](https://tex.z-dn.net/?f=v_1%5E2%20%20%3D%20%20%5Cfrac%7B8657.49%7D%7B706.93%20%7D)
![v_1 ^2 = 12.25](https://tex.z-dn.net/?f=v_1%20%5E2%20%3D%20%2012.25)
![v_1 = \sqrt{ 12.25](https://tex.z-dn.net/?f=v_1%20%20%3D%20%5Csqrt%7B%2012.25)
![v_1 = 3.5 \ m/s](https://tex.z-dn.net/?f=v_1%20%20%3D%203.5%20%5C%20m%2Fs)
From the equations of linear motion,
v² = u² + 2as where v is the final velocity, u is the initial velocity and a is the gravitational acceleration, and s is the displacement,
Thus, v² = u² -2gs, but v=0
hence, u² = 2gs
= 2×9.81×0.43
= 8.4366
u = √8.4366
=2.905 m/s
Hence the initial velocity is 2.905 m/s
Then using the equation v= u +gt .
Therefore, v = u -gt. (-g because the player is jumping against the gravity)
but, v = 0
Thus, u= gt
Hence, t = u/g
= 2.905/9.81
= 0.296 seconds
Answer:
Because the Earth has it's own gravity that keeps us put, and we also have the moon.
Explanation: