rce versus time during the collision of a 44- tennis ball with a wall. The initial velocity of the ball is 36 perpendicular to t
he wall; it rebounds with the same speed, also perpendicular to the wall. What is the maximum value of the contact force during the collision
1 answer:
Answer:
Maximum contact force = 487.4 N
Explanation:
The graph showing force vs time is attached to the solution of this question.
According to the an interpretation of Newton's second law of motion, the magmitude of the change in momentum is equal to the magnitude of the impulse experienced duting this impact.
F.t = Δ(momemtum)
Δ(momemtum) = 0.044 [36 - (-36)] = 0.044 × 72 = 3.168 kgm/s
Meaning, Impulse = 3.168 kgm/s too.
The area under the curve above is the impulse we just obtained.
If the maximum contact force is called F
The impulse = Area under this graph
= (1/2)(F)(4-0) + (F)(7-4) + (1/2)(F)(10-7)
= 2F + 3F + 1.5F = (6.5F) mN.s = (0.0065F) N.s
0.0065F = 3.168
F = (3.168/0.0065) = 487.4 N
Hope this Helps!!!
You might be interested in
Answer:
1
The mass of the Potassium-40 is
2
The Dose per year in Sieverts is
Explanation:
From the question we are told that
The isotopes of potassium in the body are Potassium-39, Potassium-40, and Potassium- 41
Their abundance is 93.26%, 0.012% and 6.728%
The mass of potassium contained in human body is per kg of the body
The mass of the first body is
Now the mass of potassium in this body is mathematically evaluated as
substituting value
The amount of Potassium-40 present is mathematically evaluated as
0.012% * 0.024
The dose of energy absorbed per year is mathematically represented as
Where E is the energy absorbed which is given as
Substituting value
The Dose in Sieverts is evaluated as
Answer:
The boats are 934.65 feet apart
Explanation:
Given:
The angles of depression to the two boats are 42 degrees and 29 degrees
Height of the observation deck i = 1,353 feet
To Find:
How far apart are the boats (y )= ?
Solution:
<em><u>Step 1 : Finding the value of x(Refer the figure attached)</u></em>
We can use the tangent ratio to find the x value
x = 590.47 feet
<em><u>Step 2 : Finding the value of z (Refer the figure attached)</u></em>
z = 1525.12 feet
<em><u>Step 3 : Finding the value of y (Refer the figure attached</u></em>)
y = z -x
y = 1525.12 - 590.47
y = 934.65 feet
Thus the two boats are 934.65 feet apart
Answer:
Explanation:
We need to apply conservation of momentum and energy to solve this problem.
<u>Conservation of momentum</u>
(1)
- m(c) is the mass of stick clay
- m(w) is the mass of the wooden block
- v(ic) is the initial velocity of clay
- V is the final velocity of the system clay plus wood.
<u>Conservation of total energy</u>
The change in kinetic energy is equal to the change in internal energy, in our case it would be the energy loss due to the friction force. Let's recall the definition of work, it is the dot product between force and displacement, Therefore:
We can find V from this equation:
Now, let's put V into the equation (1) and find v(ic)
I hope it helps you!
<u />