The gravitational effect on
other bodies determines the weight (or the mass) of a planet. We
must somehow measure the strength of its "tug" on another object in
order to use gravity to find the mass of a planet. We can harness Newton's
equations to deduce what the mass of the planet must be through observing
the time it takes for the satellite to orbit its primary planet.
Given:
Mass of Venus = 4.87 x 1024 kg
= 4986.88
Mass of Jupiter = 1.898 x 1024 kg
= 1943.552
Mass of Jupiter compared to mass of
Venus
1943.552 / 4986.88
= 0.3897330595482546
= 0.3897330595482546 x 100%
= 38.97%
So, in this problem, <span>the mass of Jupiter is about 0.39 times the mass of Venus.</span>
Take the moment car A starts to accelerate to be the origin. Then car A has position at time <em>t</em>
<em>x</em> = (20.0 m/s) <em>t</em> + 1/2 (2.10 m/s²) <em>t</em>²
and car B's position is given by
<em>x</em> = 300 m + (27.0 m/s) <em>t</em>
<em />
Car A overtakes car B at the moment their positions are equal:
(20.0 m/s) <em>t</em> + 1/2 (2.10 m/s²) <em>t</em>² = 300 m + (27.0 m/s) <em>t</em>
300 m + (7.00 m/s) <em>t</em> - (1.05 m/s²) <em>t</em>² = 0
==> <em>t</em> ≈ 20.6 s
Answer:
3.6ft
Explanation:
Using= 2*π*sqrt(L/32)
To solve for L, first move 2*n over:
T/(2*π) = sqrt(L/32)
Next,eliminate the square root by squaring both sides
(T/(2*π))2 = L/32
or
T2/(4π2) = L/32
Lastly, multiply both sides by 32 to yield:
32T2/(4π2) = L
and simplify:
8T²/π²= L
Hence, L(T) = 8T²/π²
But T = 2.1
Pi= 3.14
8(2.1)²/3.14²
35.28/9.85
= 3.6feet
