Answer:
80m/s
Explanation:
The formula for velocity is [ v = s/t ] where s = displacement and t = time.
= 400/5
= 80m/s
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Answer:
Their final velocity is 0.103 m/s
Explanation:
Given;
mass of the first car, m₁ = 130,000 kg
mass of the second car, m₂ = 115,000 kg
initial velocity of the first car, u₁ = 0.300 m/s
initial velocity of the second car, u₂ = -0.120 m/s
Let their final velocity, = v (since they were coupled together, they will have common final velocity)
Apply the principle of conservation of linear momentum;
Total momentum before collision = Total momentum after collision
m₁u₁ + m₂u₂ = v(m₁ + m₂)
(130,000 x 0.3) + (115,000 x -0.12) = v(130,000 + (115,000)
39000 -13800 = 245,000v
25200 = 245,000v
v = 25200 / 245,000
v = 0.103 m/s
Therefore, their final velocity is 0.103 m/s
Answer:
Explanation:
at collision, m has a velocity of √2gR
The center of mass of the system has a velocity of
m(√2gR) + 3m(0) = (m + 3m)v
v = ¼√2gR
The stationary mass (3m) will depart at twice the system center of mass velocity
v(3m) = ½√2gR ANSWER B
The relative velocity before the collision will be the negative of the relative velocity after the collision.
v(m) = ½√2gR - √2gR = -½√2gh ANSWER A
m will rise to a height of v²/2g = (-½√2gR)²/2g = 0.25R
Psychology is a science because it follows the empirical method
Answer:
The velocity with which the 5.0 kg dog has to run to have the same momentum as the 30 kg pig walking at 3.0 m/s is 18 m/s
Explanation:
Given that the mass of the dog = 5.0 kg
The mass of the pig = 30 kg
The speed with which the pig is walking = 3.0 m/s
We have that linear momentum = Mass × Velocity
Therefore, the momentum of the pig, m₁ = 30 kg × 3.0 m/s = 90 kg·m/s
m₁ = 90 kg·m/s
The momentum of the dog m₂ = Mass of the dog × Velocity of the dog
Given that m₁ is to be equal to m₂, we have;
m₁ = 90 kg·m/s = m₂ = Mass of the dog × Velocity of the dog
90 kg·m/s = m₂ = 5.0 kg × Velocity of the dog
m₂ = 5.0 kg × Velocity of the dog = 90 kg·m/s
5.0 kg × Velocity of the dog = 90 kg·m/s
Velocity of the dog = 90 kg·m/s/(5.0 kg) = 18 m/s
The velocity with which the 5.0 kg dog has to run to have the same momentum as the 30 kg pig walking at 3.0 m/s = 18 m/s.
