Over the first 30.0 s, the undergoes a displacement of
(12 m/s) * (30.0 s) = 360 m
Over the next 8.00 s, the car accelerates from 12 m/s to a top speed of
12 m/s + (1.5 m/s²) * (8.00 s) = 24 m/s
and over this time interval, it is displaced an additional
(12 m/s) * (8.00 s) + 1/2 (1.5 m/s²) * (8.00 s)² = 144 m
For the last 12.0 s, the car moves at a constant speed of 24 m/s to cover a distance of
(24 m/s) * (12.0 s) = 288 m
So the car's net displacement is 360 m + 144 m + 288 m = 792 m. (The net displacement is the same as distance in this case because the car moves in only one direction.)
Answer:
20 J
Explanation:
The law of conservation of energy states that (if we neglect air resistance) the mechanical energy of an object in free fall is conserved:
where
E is the mechanical energy, which is the sum of
U = potential energy
K = kinetic energy
When the ball is held 10 meters above the ground, its gravitational potential enegy is U = 20 J, while its kinetic energy is K = 0 (because the ball is at rest). Therefore, its mechanical energy is
E = U + K = 20 J + 0 = 20 J
Just before hitting the ground, its potential energy is zero (because its height is now zero), and since the mechanical energy must be conserved, we still have that E = 20 J. So, we can find the kinetic energy just before hitting the ground:
Answer:
1450.4 KN
Explanation:
Pressure = ρhg
where: ρ is the density of the liquid, h is the height and g the force of gravity.
Total pressure exerted by the liquids at the base = Pressure of oil + Pressure of water + Pressure of mercury
So that,
i. Pressure of oil = ρhg
(ρ = 0.8 g/cm³ = 800 kg/m³)
= 800 x 5 x 9.8
= 39200
Pressure of oil = 39200 N
ii. Pressure of water = ρhg
(ρ = 1 g/cm³ = 1000 kg/m³)
= 1000 x 8 x 9.8
= 78400
Pressure of water = 78400 N
ii. Pressure of mercury = ρhg
(ρ = 13.6 g/cm³ = 13600 kg/m³)
= 13600 x 10 x 9.8
= 1332800
Pressure of mercury = 1332800 N
So that,
Total pressure exerted by the liquids at the base = 39200 + 78400 + 1332800
= 1450400
= 1450.4 KN
Total pressure exerted by the liquids at the base is 1450.4 KN.
The shape of a convection current would be circular. Convection currents<span> are caused by the very hot material at the deepest part of the mantle rising, then cooling, sinking again and then heating, rising and repeating the cycle over and over. Hope this answers the question.</span>