Amber has begun to cry when she is dropped off at daycare. This development likely occurred at what age? (2 points)
2 answers:
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Answer:
J = 12.32kg*m/s
Explanation:
Assumptions: I'm assuming mis is m/s
Given: The baseball's mass is 140g, so convert to kg, 0.140kg. (Good rule of thumb, in physics convert grams to kilograms). It is initially traveling 35 m/s to the right.
When it hits the bat, it flies left with a velocity of 55 m/s at an angle of 25°. To reiterate:
mass = 0.140kg, Initial: 35m/s, Final: 55m/s at an angle of 25°
For this problem, we have to use the impulse equation, but before that lets break the velocity into components (It will be apparent towards the end):
The initial velocity is moving only in the horizontal direction, so:
The final velocity has an x and a y component:
Now the equation for impulse is (dp is Δp, which is difference in momentum; dv is Δv, the difference in velocity; J is impulse):
To get Δv, we have to find the difference of velocity, that is why we broke it into components. I'm going to define right as positive and left as negative. After that, we find the velocity vector:
Finally, substitute into the equation
J = 12.32kg*m/s
The mass that must be added is 0.628 kg
Explanation:
The period of a mass-spring system is given by
where
m is the mass
k is the spring constant
For the initial mass-spring system in the problem, we have
m = 0.500 kg
T = 1.36 s
Solving for k, we find the spring constant:
In the second part, we want the period of the same system to be
T = 2.04 s
Therefore, the mass on the spring in this case must be
Therefore, the mass that must be added is
Learn more about period:
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