A boy throws a tennis ball of mass 3kg at a wall with velocity of 40m/s.If it bounces back with 35m/s in an impact that lasted for 0.01s the change in its linear momentum and the force exerted on the tennis by the wall are
Answers
Answer:
The change in the linear momentum is 225 kg.m/s and the force exerted on the tennis ball is 22,500 N.
Explanation:
What is linear momentum?Linear momentum is the measure of a body's motion. Every object that has mass and moves at any velocity has linear momentum. Here are some examples of everyday life: falling balls, launching rockets, driving a car etc.
Now let's attack the problem.
First, we got to write the data down:
[tex]\bullet \quad m=3\,kg\\\\\bullet \quad v_o=40\,m/s\\\\\bullet \quad v=35\,m/s\\\\\bullet \quad \Delta t =0.01\,s[/tex]
We can write the change in linear momentum of the tennis ball as follows:
[tex]\Delta p = p-p_o[/tex]
The ball's momentum is equal to its mass times its velocity. Hence:
[tex]\Delta p= m\cdot v-m\cdot v_o[/tex]
Let's set the reference system as positive to left (see picture attached). For that purpose, when the ball bounces back its velocity changes sign.
Now, we are able to plug in the data:
[tex]\Delta p = 3\cdot 35 - 3\cdot(-40)\\\\\\\Delta p = 105+120\\\\\\\therefore \boxed{\Delta p =225\,kg\cdot m/s}[/tex]
To calculate the exerted force, we must apply the impulse theorem, which states that impulse equals the change in linear momentum of an object. We get:
[tex]\mathbb{I}=\Delta p[/tex]
Hence,
[tex]F \cdot \Delta t=\Delta p\\\\\\F\cdot 0.01=225\\\\\\F=\dfrac{225}{0.01}\\\\\\\therefore \boxed{F=22,\!500\,N}[/tex]
Conclusion: the change in linear momentum is 225 kg . m/s and the exerted force is 22,500 N.
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Answer:
I guess it is the reason
Explanation:
A dam is thicker at the bottom than at the top because the forces exerted are strongest close to the ground. Water pressure increases proportionally with depth, so the lower portion of the dam has greater water pressure exerted upon it. The increasing thickness of the lower dam also helps it support its own weight.
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Pressure is directly proportional to depth and the deeper the length the high the pressure. Thus at the bottom, water pressure is very high and the walls must be made thicker to accommodate that pressure.
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Answer:
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Answer:
Make the surfaces little more smoother. ...
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Answer:
If you double the mass of an object, you double the kinetic energy. If you double the speed of an object, the kinetic energy increases by four times. Kinetic energy can be passed from one object to another in the form of a collision....What happen to the kinetic energy of its velocity become double ? The energy possessed by a body because of its motion, equal to one half the mass of the body times the square of its speed is called its kinetic energy. Hence, when velocity is doubled, kinetic energy becomes 4 times.
Explanation:
Answer: It increases by four times
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Answers
Answer:
ok
Explanation:
solid- molecules are close together and vibrating
liquid - molecules are loser, faster moving and take the shape of its container
gas- fast moving molecules and take whatever shape they want (like a room or the air outside)
Explanation:
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Answer:
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Answers
The velocity of the ball after it hits the bottle is 15.8 m/s
Let m₁ represent the mass of the ball, m₂ the mass of the bottle, u₁ the velocity of ball before impact, u₂ the velocity of bottle before impact, v₁ the velocity of ball after impact and v₂ the velocity of bottle after impact.
Given that:
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momentum before impact = momentum after impact, hence:
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
0.7(22) + 0.15(0) = 0.7v₁ + 0.15(29)
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Therefore the velocity of the ball after it hits the bottle is 15.8 m/s
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Answer:
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Answer:
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Answer:
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Answer:
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Answer: a bowling ball
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The statement that explains whether the ball rolling down the hill
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Reason:
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known as the gravitational force, the experiment should be used.
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Answers
Answer:
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General Formulas and Concepts:
Forces
Newton's 2nd Law of Motion: F = ma
F is force (in N)m is mass (in kg)a is acceleration (in m/s²)Explanation:
Step 1: Define
Identify variables
F = 755 N
m = 15 kg
Step 2: Solve for a
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Answers
Answer:
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Answer:
Two point charges are separated by 6.4 cm . The attractive force between them is 10 N .
units.
Explanation:
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