Answer:
a = 9.86 m/s²
Explanation:
given,
distance between the centers of wheel = 156 cm
center of mass of motorcycle including rider = 77.5 cm
horizontal acceleration of motor cycle = ?
now,
The moment created by the wheels must equal the moment created by gravity.
take moment about wheel as it touches the ground, here we will take horizontal distance between them.
then, take the moment around the center of mass. Since the force on the ground from the wheels is horizontal, we need the vertical distance.
now equating both the moment
m g d = F h
d is the horizontal distance
h is the vertical distance
m g d = m a h
term of mass get eliminated
g d = a h
so,
a = 9.86 m/s²
Answer:
(a) V1 = 8990.00 V
V2 = 8960.13 V
Explanation:
Parameters given:
q =3 mC
k = 8.99 * 10⁹ Nm²/C²
x1 = 3 m
x2 = 3.01 m
Electric potential is given as:
V = kq/r
Where
k = Coulombs constant
q = charge
r = distance
Potential at x1 is:
V1 = (8.99 * 10⁹ * 0.000003)/(3)
V1 = 8990.00V
Potential at x2 is:
V2 = (8.99 * 10⁹ * 0.003)/(3.01)
V2 = 8960.13 V
Answer:
a) 1.6*10^21 Joules.
b) 40,000
Explanation:
part a )
maximum destructive energy that can be released is the case when all the kinetic energy of the asteroid is consumed.
therefore E = 1/2 m v^2
m= density * volume
= 3100* (4/3* pi * 1000^3 ) = 12978666666666.67 kg
given v = 16000m/s
therefore
E= 1/2 * 12978666666666.67 * 16000 * 16000
= 1.6 x 10^21 Joules!
part B)
each bomb is capable of 4 x 10^16 joules
therefore no of bombs that are needed to produce the required energy are
1.6 x 10^21 / 4 x 10^16 = 40,000
that is 40,000 such nuclear bombs are required!
Length of the ramp (L) = 4.0 m = Distance traveled by the effort
Height of the inclined plane (h) = 2.0 m = Distance traveled by the resistance
IMA = Ideal mechanical advantage
IMA = 2.0
Hence, the IMA of the inclined plane is 2.0
