352.6 m/s just took the test
of the cart at the end of this 3.0 second interval?
Answer:
V = 20.5 m/s
Explanation:
Given,
The mass of the cart, m = 6 Kg
The initial speed of the cart, u = 4 m/s
The acceleration of the cart, a = 0.5 m/s²
The time interval of the cart, t = 30 s
The final velocity of the cart is given by the first equation of motion
v = u + at
= 4 + (0.5 x 30)
= 19 m/s
Hence the final velocity of cart at 30 seconds is, v = 19 m/s
The speed of the cart at the end of 3 seconds
V = 19 + (0.5 x 3)
= 20.5 m/s
Hence, the final velocity of the cart at the end of this 3.0 second interval is, V = 20.5 m/s
Since the kayakers speed is 1.5 meters per second relative to the stream, the kayakers velocity in meters per second relative to the shore should be its speed relative to the stream plus the stream's velocity relative to the shore. This is 1.5m/s + 3.0m/s which is equal to 4.5 meters per second (m/s).
The kayaker's speed relative to the shore is calculated by adding the stream's speed (3.0 m/s) and the kayaker's speed relative to the stream (1.5 m/s), which results in 4.5 m/s.
In this scenario, the kayaker's total velocity, or speed relative to the shore, is the vector sum of the kayak's velocity relative to the water and the water's velocity relative to the shore. This principle reflects how velocities combine in Newtonian mechanics. Given that the stream's velocity is 3.0 meters per second and the kayaker's velocity relative to the stream is 1.5 meters per second, we add these velocities together to get the kayaker's velocity relative to the shore.
Therefore, the kayaker's speed relative to the shore is 4.5 meters per second. This sum is based on the principle that when moving downstream, the stream's velocity (its speed in a particular direction) augments the velocity of the kayak.
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Answer:
The kinetic energy of the train at top speed is 5,400,000 J
Explanation:
Kinetic Energy
It's the capacity that an object has to do work in virtue of its velocity. If we use UI units for the mass and velocity, the kinetic energy is expressed in Joules, or Nw.m or . It can be computed with the formula
The roller coaster train has a mass of 12,000 kg and a velocity of 30 m/s. Replacing those values in the formula, we have:
Answer: the first answer is 5,400,000 the second one is 46
Explanation: hope it helps : ]