5.2m/s
Explanation:
Given parameters:
Mass of baseball = 0.15kg
Momentum of baseball = 0.78kgm/s
Unknown:
Speed of baseball = ?
Solution:
The momentum of the baseball is a function of the product of the mass and velocity. It is a vector quantity:
Momentum = mass x velocity
Since the speed of the ball is unknown:
Velocity =
= 
= 5.2m/s
The speed of the baseball before it lands is 5.2m/s
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Answer:
Part a)
Speed of the roller coaster is

Part b)
Since it is moving with non zero speed at some height above the ground
So we will have
Kinetic energy + Potential energy Both
Explanation:
As we know that there is no friction on the path
So here we can use mechanical energy conservation law
so we will have
Part a)




Part b)
Since it is moving with non zero speed at some height above the ground
So we will have
Kinetic energy + Potential energy Both
Answer:
it is due to the elastic rubber and the air pressure builds up and the rubber expands
According to Newton`s law. Force exerted by car,

After adding an additional 400 kg of mass, the force will be same therefore the acceleration

Thus, the acceleration after adding the masses is 1.47 \ m/s^2.
The working equation for this problem is written below:
x = v₀t + 0.5at², where x is the distance traveled, v₀ is the initial velocity, a is the acceleration and t is the time
Let's apply the concept of calculus. The maximum speed is equated to the derivative of x with respect to t.
dx/dt = 8 ft/s = v₀ + at
Since the it starts from rest, v₀ = 0
8 = at
t = 8/a
The net acceleration is 0.7 - 0.35 = 0.35 ft/s². Thus,
t = 8/0.35 = 22.86 seconds