Answer:
a) 39.37 m
b) 26.25 m
Explanation:
Given
speed of the roller coaster, v = 100 km/h = 100 * (1000/3600) m/s = 27.78 m/s
Using the law of conservation of energy.
Potential Energy = Kinetic Energy
mgh = 1/2mv²
gh = 1/2v²
h = v²/2g
h = 27.78² / 2 * 9.8
h = 771.7284 / 19.6
h = 39.37 m
Also,
kmg - mg = mv²/p
kg - g = v²/p
p = v²/g(k - 1)
p = 27.78² / 9.8(4 - 1)
p = 771.7284 / 29.4
p = 26.25 m
Therefore, the height of the roller coaster is 39.37 m and the radius of curvature required is 26.25 m
Answer:1st
Explanation:and object in motion stays in motion unless acted upon by another object
Answer:
a) 6.4 x 10^-12 cm^3
b) 17 x 10^-6 mm^2
Explanation
a). The shape is assumed to be spherical The volume = volume of a sphere = \frac{4}{3} \pi r^3
3
4
πr
3
V = \frac{4}{3}*3.142* 1.15^3
3
4
∗3.142∗1.15
3
= 6.3715 μm^3
1 μm^3 = 10^-12 cm^3
6.3715 μm^3 = 6.3715 x 10^-12 cm^3
==> 6.4 x 10^-12 cm^3
Rate of speed (3 m/s north is three miles per second north, so it's a rate of speed)
As we know that acceleration due to gravity is given by

here we know that
g = 3.60 m/s^2
M = ?

now we have


so above is the mass of Mars