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Using energy principles . Solve - A bullet of 90g moving with 300m/s fired into a block of wood and penetrate 10m into block. if a bullet moving with same velocity fired into similar type of wood of 5m thick, find the emerging velocity of bullet ? .?
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Using energy principles . Solve - A bullet of 90g moving with 300m/s ...
**Solution:**
To solve this problem, we will use the principle of conservation of energy. The initial kinetic energy of the bullet is equal to the work done in penetrating the block of wood.
**Step 1: Calculate the initial kinetic energy of the bullet:**
Given:
Mass of the bullet, m = 90 g = 0.09 kg
Velocity of the bullet, v = 300 m/s
The initial kinetic energy (KE) of the bullet can be calculated using the formula:
KE = 0.5 * m * v^2
Substituting the given values into the formula, we get:
KE = 0.5 * 0.09 kg * (300 m/s)^2
KE = 0.5 * 0.09 kg * 90000 m^2/s^2
KE = 4050 Joules
**Step 2: Calculate the work done in penetrating the block of wood:**
The work done (W) in penetrating the block of wood can be calculated using the equation:
W = F * d
where F is the force applied and d is the distance penetrated.
We know that work done is equal to the change in kinetic energy. Therefore, W = KE.
Substituting the values, we get:
W = 4050 Joules
**Step 3: Calculate the force applied on the bullet:**
We can calculate the force applied on the bullet using the equation:
F = W / d
where W is the work done and d is the distance penetrated.
Substituting the values, we get:
F = 4050 Joules / 10 m
F = 405 N
**Step 4: Calculate the emerging velocity of the bullet:**
Now, we can calculate the emerging velocity of the bullet when it penetrates a similar type of wood with a thickness of 5 m.
Using the equation:
W = F * d
Substituting the values, we get:
4050 Joules = F * 5 m
F = 810 N
Now, we can use the formula:
KE = 0.5 * m * v^2
to calculate the velocity, v.
Substituting the values, we get:
4050 Joules = 0.5 * 0.09 kg * v^2
v^2 = 4050 Joules / (0.5 * 0.09 kg)
v^2 = 90000 m^2/s^2
v = 300 m/s
Therefore, the emerging velocity of the bullet when it penetrates the 5 m thick block of wood is 300 m/s.
**Conclusion:**
The emerging velocity of the bullet when it penetrates a block of wood that is 5 m thick is 300 m/s. This can be determined by applying the principle of conservation of energy and using the formula for kinetic energy.
To solve this problem, we will use the principle of conservation of energy. The initial kinetic energy of the bullet is equal to the work done in penetrating the block of wood.
**Step 1: Calculate the initial kinetic energy of the bullet:**
Given:
Mass of the bullet, m = 90 g = 0.09 kg
Velocity of the bullet, v = 300 m/s
The initial kinetic energy (KE) of the bullet can be calculated using the formula:
KE = 0.5 * m * v^2
Substituting the given values into the formula, we get:
KE = 0.5 * 0.09 kg * (300 m/s)^2
KE = 0.5 * 0.09 kg * 90000 m^2/s^2
KE = 4050 Joules
**Step 2: Calculate the work done in penetrating the block of wood:**
The work done (W) in penetrating the block of wood can be calculated using the equation:
W = F * d
where F is the force applied and d is the distance penetrated.
We know that work done is equal to the change in kinetic energy. Therefore, W = KE.
Substituting the values, we get:
W = 4050 Joules
**Step 3: Calculate the force applied on the bullet:**
We can calculate the force applied on the bullet using the equation:
F = W / d
where W is the work done and d is the distance penetrated.
Substituting the values, we get:
F = 4050 Joules / 10 m
F = 405 N
**Step 4: Calculate the emerging velocity of the bullet:**
Now, we can calculate the emerging velocity of the bullet when it penetrates a similar type of wood with a thickness of 5 m.
Using the equation:
W = F * d
Substituting the values, we get:
4050 Joules = F * 5 m
F = 810 N
Now, we can use the formula:
KE = 0.5 * m * v^2
to calculate the velocity, v.
Substituting the values, we get:
4050 Joules = 0.5 * 0.09 kg * v^2
v^2 = 4050 Joules / (0.5 * 0.09 kg)
v^2 = 90000 m^2/s^2
v = 300 m/s
Therefore, the emerging velocity of the bullet when it penetrates the 5 m thick block of wood is 300 m/s.
**Conclusion:**
The emerging velocity of the bullet when it penetrates a block of wood that is 5 m thick is 300 m/s. This can be determined by applying the principle of conservation of energy and using the formula for kinetic energy.
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Using energy principles . Solve - A bullet of 90g moving with 300m/s fired into a block of wood and penetrate 10m into block. if a bullet moving with same velocity fired into similar type of wood of 5m thick, find the emerging velocity of bullet ? .?
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Using energy principles . Solve - A bullet of 90g moving with 300m/s fired into a block of wood and penetrate 10m into block. if a bullet moving with same velocity fired into similar type of wood of 5m thick, find the emerging velocity of bullet ? .? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Using energy principles . Solve - A bullet of 90g moving with 300m/s fired into a block of wood and penetrate 10m into block. if a bullet moving with same velocity fired into similar type of wood of 5m thick, find the emerging velocity of bullet ? .? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Using energy principles . Solve - A bullet of 90g moving with 300m/s fired into a block of wood and penetrate 10m into block. if a bullet moving with same velocity fired into similar type of wood of 5m thick, find the emerging velocity of bullet ? .?.
Using energy principles . Solve - A bullet of 90g moving with 300m/s fired into a block of wood and penetrate 10m into block. if a bullet moving with same velocity fired into similar type of wood of 5m thick, find the emerging velocity of bullet ? .? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Using energy principles . Solve - A bullet of 90g moving with 300m/s fired into a block of wood and penetrate 10m into block. if a bullet moving with same velocity fired into similar type of wood of 5m thick, find the emerging velocity of bullet ? .? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Using energy principles . Solve - A bullet of 90g moving with 300m/s fired into a block of wood and penetrate 10m into block. if a bullet moving with same velocity fired into similar type of wood of 5m thick, find the emerging velocity of bullet ? .?.
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