Answer:
77.9 km/h
Explanation:
We determine the initial momenta of lion and gazelle.
Lion: 173 × 80.9 = 13995.7
Gazelle: 36.2 × 63.8 = 2309.56
Since they are running in the same direction, we add their momenta to get the total initial momentum:
After the collision, they are together and have a common velocity. Hence, the total final momentum is
By the principle of conservation of momentum, the total initial momentum is equal to the total final momentum, provided there are no external forces.
Answer:
9.14hrs
Explanation:
1 horse power = 745.7 watts
1.5 horse power = 1118.55 watts
1 ft = 0.305 m
24 ft = 7.3152 m
60 ft = 18.288 m
the water tank is spherical, volume of a spherical tank = 3/4 πr³ where is r is the radius of the tank = 7.3152 m / 2 = 3.66 m
volume = 4/3 ( 3.66 m ³) × 3.142 = 205.394 m³
mass of water = density × volume = 205.394 m³ × 1000kg/m³ = 205,394 kg
weight of water = mass × acceleration due to gravity = 205,394 kg × 9.8 = 2012861.2 N
potential energy stored at the height where water was stored = mgh = weight × height = 2012861.2 N × 18.288 m
potential energy stored = energy from the pump = power in watt × t
1118.55 watts × t =2012861.2 N × 18.288 m
t = (2012861.2 N × 18.288 m) / 1118.55 watts = 32846.62 secs = 9.14 hrs
Answer:
- z direction
Explanation:
To find the direction of the magnetic field, you take into account that the magnetic force over a charge, is given by the following cross product:
(1)
F_B: magnetic force
q: charge of the particle
v: velocity of the charge
B: magnetic field
In this case you have that the electron is moving along x-axis. You can consider this direction as the ^i direction. The electron experiences a magnetic deflection in the -y direction, that is, in the -^j direction.
By the cross products between unit vectors, you have that:
-^j = ^i X ^k
That is, the cross product between two vectors, one in the +x direction, and another one in the +z direction, generates a vector in the -y direction. However, it is necessary to take into account that the negative charge of the electron change the sign of the result of the cross product, which demands that the second vector is in the -z direction. That is:
-^i X -k^ = ^i X ^k = - ^j
Hence, the direction of the magnetic field is in the -z direction
Thermal energy is not in the process of being transferred it is not in transit but remains as part of the internal energy of the system heat on the other hand is energy in transit energy is the process of being transferred from a hotter system towards another colder system
Horizontal and Vertical are the two motions that combine to produce projectile motion.