Answer:
a) rM<3.456* 10e8 m
b) a= 3.33 · 10e-3 m/s²
Explanation:
mA -mass of the astronaut
mE=5.98*10 24 kg mass of the Earth
mM= 7.36* 10 22kg mass of the Moon
r -distance between Eart and Moon, r= 3.84*10 8 m
rM - the point where the forces from the Earth and the Moon are the same
g gravitanioal const5ant g=6.67*10 -11 Nm2/kg2
FE=FM
g*mE*mA/(r-rM)2=g*mM*mA/(rM2) yields
mE/(r-rM)2=mM/rM2
sqrt (mE/mM)*(r-rM)=rM
rM*(1+sqrt (mE/mM))=sqrt (mE/mM)*r
rM=(sqrt (mE/mM)*r)/(1+sqrt (mE/mM))
rM=9*3.84*10 8m/10
<u>rM=3.456* 10 8 m</u>
less than that distance is the asked one
b) F=Fg
mA*a=g*mA*mE/(rM2)
a=g*mE/(rM2)
a=6.67*10 -11 Nm2/kg2 *5.97*10 24kg/ (3.456 10 8m)2
a=3.33* 10 -3 m/s2
Answer:
f = 347.08 N
Explanation:
The frictional force exerted by the floor on the refrigerator is given as follows:
where,
f = frictional force = ?
μ = coefficient of static friction = 0.58
W = Weight of refrigerator = mg
m = mass of refrigerator = 61 kg
g = acceleration due to gravity = 9.81 m/s²
Therefore,
<u>f = 347.08 N</u>
Answer: Radio waves and light waves are both electromagnetic raidiations.
Explanation:
Does this help?
Answer:
Explanation:
B = Magnetic field =
r = Radius of rim = 16 m
t = Time = 90 seconds
A = Area of rim =
EMF is given by
The magnitude of the induced emf between the hub and the rim is .
The formula we can use here is:
g = G m / r^2
where g is gravity, G is gravitational constant, m is
mass, and r is radius
Since G is constant, therefore we can equate two
situations:
g1 m1 / r1^2 = g2 m2 / r2^2
(10 m/s^2) r1^2 / m1 = g2 * (1/2 r1)^2 / (1/8 m1)
<span>g2 = 5 m/s^2</span>