Answer: 896J
Explanation:
Given that
Mass of motorcycle = 112kg
kinetic energy = ?
velocity of the motorcycle = 4m/s
Since kinetic energy is the energy possessed by a moving object, and it depends on the mass (m) of the object and the velocity (v) by which it moves. Therefore, the motorcycle has kinetic energy
i.e K.E = 1/2mv^2
KE = 1/2 x 112kg x (4m/s)^2
KE = 0.5 x 112 x 16
KE = 896J
Thus, the motorcycle has 896 joules of kinetic energy.
Answer:
At 5km/hr; Hypnotist travels with a higher speed.
Explanation:
Let hypnotist be H while Raul be R.
Given the following data;
Distance H = 5km
Time H = 1 hour
Distance R = 5km
Time R = 2 hours
To find the their respective speed;
a. For H;
Speed = distance/time
Speed H = 5/1
Speed H = 5km/hr
b. For R;
Speed = distance/time
Speed R = 5/2
Speed R = 2.5 km/hr
Therefore, hypnotist travels with a higher speed.
Work needed = 23,520 J
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Further explanation
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Given
height = 12 m
mass = 200 kg
Required
work needed by the crane
Solution
Work is the transfer of energy caused by the force acting on a moving object
Work is the product of force with the displacement of objects.
Can be formulated
W = F x d
W = Work, J, Nm
F = Force, N
d = distance, m
F = m x g
Input the value :
W = mgd
W = 200 kg x 9.8 m/s²x12 m
W = 23520 J
Answer:
Mass of Jupiter = 4.173×10^15kg
Explanation:
Using Kepler's 3rd law, it states that the orbital period T is related to the distance,r as:
T^2 = GM/4 pi × r^3
Where G = universal gravitational constant
r = radius
M = masd of jupiter
Rearranging the formular to make M the subject of formular
T^2 × 4 pi = G M × r^3
(T^2 × 4 pi) / (G× r^3) = M
(1.24^2 × 4 × 3.142) /(6.672×10^-11)(4.11×10^8)^3
M = 19.32 /6.672×10^-11)(4.11×10^8)^3
M = 19.32 / 4.63 ×10^15
M = 4.173×10^15kg
