Air caught in the ball of foil makes the ball less dense than water
Answer:
Force on front axle = 6392.85 N
Force on rear axle = 8616.45 N
Explanation:
As we know that the weight of the car is balanced by the normal force on the front wheel and rear wheels
Now we know that
![F_1 + F_2 = W](https://tex.z-dn.net/?f=F_1%20%2B%20F_2%20%3D%20W)
![F_1 + F_2 = (1530\times 9.81)](https://tex.z-dn.net/?f=F_1%20%2B%20F_2%20%3D%20%281530%5Ctimes%209.81%29)
![F_1 + F_2 = 15009.3 N](https://tex.z-dn.net/?f=F_1%20%2B%20F_2%20%3D%2015009.3%20N)
now we know that distance between the axis is 2.70 m and centre of mass is 1.15 m behind front axle
so we can write torque balance about its center of mass
![F_1(1.15) = F_2(2.70 - 1.15)](https://tex.z-dn.net/?f=F_1%281.15%29%20%3D%20F_2%282.70%20-%201.15%29)
![F_1 = 1.35 F_2](https://tex.z-dn.net/?f=F_1%20%3D%201.35%20F_2)
now from above equation
![F_2 + 1.35F_2 = 15009.3](https://tex.z-dn.net/?f=F_2%20%2B%201.35F_2%20%3D%2015009.3)
now we have
![F_2 = 6392.85 N](https://tex.z-dn.net/?f=F_2%20%3D%206392.85%20N)
now the other force is given as
![F_1 = 8616.45 N](https://tex.z-dn.net/?f=F_1%20%3D%208616.45%20N)
relation between potential difference and electric field is given as
![E . d = \Delta V](https://tex.z-dn.net/?f=E%20.%20d%20%3D%20%5CDelta%20V)
so here we know that
d = 3 cm
![\Delta V = 30 V](https://tex.z-dn.net/?f=%5CDelta%20V%20%3D%2030%20V)
![E \times 0.03 = 30](https://tex.z-dn.net/?f=E%20%5Ctimes%200.03%20%3D%2030)
![E = 1000 N/C](https://tex.z-dn.net/?f=E%20%3D%201000%20N%2FC)
So now when plates are separated to 4 cm distance carefully
the potential difference between them will change but the electric field between them will remain constant
So at distance of 4 cm also the electric field will be E = 1000 N/C
Answer:
a) m = 69.0 kg
b) release some gas in the opposite direction to the astronaut's movement
Explanation:
a) Let's use Newton's second law
F = m a
m = F / a
m = 60.0 / 0.870
m = 69.0 kg
b) when we exert a force on the astronaut it acquires a momentum po, as the astronaut system plus spacecraft is isolated, the momentum is conserved
p₀ = p_f
m v = M v '
v ’=
so we see that the ship is moving backwards, but since the mass of the ship is much greater than the mass of the astronaut, the speed of the ship is very small.
One method to avoid this effect is to release some gas in the opposite direction to the astronaut's movement so that the initial momentum of the astronaut plus the gas is zero and therefore no movement is created in the spacecraft.