According to the law of conservation of momentum, the total momentum before a collision equals the total momentum after the collision. When two carts collide and lock together, they form a single body with a certain mass and velocity. Based on the definition of momentum, we will compute the final velocity.
The equation U = Q + W defines the internal energy of the system, where U represents internal energy, Q corresponds to heat, and W is work done. You have an input of 2,380 J for work alongside 12,900 J of heat, which totals 15,280 J for internal energy.
Answer:
The canyon measures 50.176 meters deep.
Explanation:
The student drops a rock from the rim of the canyon, requiring us to ascertain the depth of the canyon—name how far the ground is below the cliff.
The data we have:
Time = t = 3.2 s
Initial velocity =
= 0 m/s
Gravitational acceleration = g = 9.8 m/s²
Height = h =?
According to the second equation of motion

Given the initial velocity is zero, the right-hand side of the equation simplifies to zero

h = (0.5)(9.8)(3.2)²
h = 50.176 m
This calculation indicates that the rock dropped a distance of 50.176 meters to reach the canyon's base. Thus,
the canyon depth is 50.176 meters.