Answer: k= 
Explanation:
Recall that the formula for kinetic energy is given below as
k = 
where k=kinetic energy (joules), m= mass of object (kg), v= velocity of object m/s)
For cart A
= mass of cart A
= v = velocity of cart A
= kinetic energy of cart A
hence, = 
For cart B
= mass of cart B
= 2v = velocity of cart B
= kinetic energy of cart B
hence, = 
= 2
from the question, both cart are identical which implies they have the same mass i.e = = m which implies that
and 
The total kinetic energy K is the sum of cart A and cart B kinetic energy
hence
Answer;
- 15 J
Explanation;
-Potential energy is defined as mechanical energy, stored energy, or energy caused by its position.
-For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m /s² at the surface of the earth) and h is the height in meters.
Potential energy of the rabbit at the peak of its height is
PE = (3)(10)(0.5) = 15 J
(around 14.7 but because energy is lost, it is less than that)
I believe this ratio is 4:1 due to the inverse square law
Complete question:
The classic Goodyear blimp is essentially a helium balloon— a big one, containing 5700 m³ of helium. If the envelope and gondola have a total mass of 4300 kg, what is the maximum cargo load when the blimp flies at a sea-level location? Assume an air temperature of 20°C.
Answer:
52.4 kN
Explanation:
The helium at 20°C has a density of 0.183 kg/m³, and the cargo load is the weight of the system, which consists of the envelope, the gondola, and the helium.
The helium mass is the volume multiplied by the density, thus:
mHe = 5700 * 0.183 = 1043.1 kg
The total mass is then 5343.1 kg. The weight is the mass multiplied by the gravity acceleration (9.8 m/s²), so:
W = 5343.1*9.8
W = 53362.38 N
W = 52.4 kN
Answer:
285 seconds
Explanation:
Jenny speed is 3.8 m/s
Alyssa speed in 4.0 m/s
Alyssa starts after 15 seconds
Find the distance covered by Jenny, when Alyssa starts
Distance=Speed*time
Distance covered by Jenny in 15 seconds= 3.8×15=57m
Relative speed of the two members heading same direction will be;
4.0m/s-3.8m/s=0.2m/s
To find the time Alyssa catch up with Jenny you divide the distance to be covered by Alyssa by the relative speed of the two
Distance=57m, relative speed=0.2m/s t=57/0.2 =285 seconds
=4.75 minutes
