Question

Guys I really need help with these 2 questions , it's for my final plz help asap

Answer 1

(1) Initial speed,
`u=0`

Final speed,
`v=165.76m/s`

Average speed,
`v_a_v_g=82.87m/s`

(2) Force of gravity,
`F_g=12.8*10^1^5N`

Step-by-step explanation:

(1)

Given,

Distance,
`S=300meter`

Time,
`t=3.62second`

It is given that drag racer started at rest.

So Initial speed,
`u=0`

Using Newton's second equation of motion,

`S=ut+(1)/(2)at^2\\300=0+(a*3.62^2)/(2) \\a=45.79m/s^2`

Newton's first equation of motion,

`v=u+at\\=0+45.79*3.62\\=165.76 m/s`

So, Final speed,
`v=165.76m/s`

Average speed is defined as totle distance divided by totle time.

`v_a_v_g=(S)/(t)\\=(300)/(3.62) \\=82.87m/s`

So, Average speed,
`v_a_v_g=82.87m/s`

(2)

Gravitation: It is the natural phenomenon in which two different bodies attract each other by virtue of their masses.

According to Newton's law of gravitation, the force of attraction between two bodies is directly proportional to the masses of the bodies and inversely proportional to square of distance between centers of mass of the bodies.

`F_g\propto(m_1m_2)/(r^2) \\F_g=G(m_1m_2)/(r^2)`where
`G`is constant of proportionality and known as gravitation constant.

Given,

Mass of Jupiter,
`m_1=1.9*10^2^7kg`

Mass of Ganymede,
`m_2=1.48*10^2^3kg`

Distance between their centers of mass,
`r=1.21*10^1^2meter`

`F_g=G(m_1m_2)/(r^2)\\=(6.67*10^-^1^1*1.9*10^2^7*1.48*10^2^3)/((1.21*10^1^2)^2) \\=12.8*10^1^5N`

So, Force of gravity,
`F_g=12.8*10^1^5N`