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A body of mass 4 kg has a momentum of 25 kg m/s, its K.E. is:
- a)70.66 J
- b)78.12 J
- c)100 J
- d)25.5 J
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A body of mass 4 kg has a momentum of 25 kg m/s, its K.E. is:a)70.66 J...
The correct answer is B asMomentum = mass × velocity
4 = 25 × v
V = 4/25
V = 6.25
4 = 25 × v
V = 4/25
V = 6.25
To find the kinetic energy ,
KE = 1/2 m v^2
= 1/2 × 25 ×6.25x6.25
= 78.12 J
KE = 1/2 m v^2
= 1/2 × 25 ×6.25x6.25
= 78.12 J
Most Upvoted Answer
A body of mass 4 kg has a momentum of 25 kg m/s, its K.E. is:a)70.66 J...
K.E = P^2/2M here M = 4 ,P= 25 so 25*25/2*4 = 78.125 joules .option B is correct
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Community Answer
A body of mass 4 kg has a momentum of 25 kg m/s, its K.E. is:a)70.66 J...
Given:
- Mass of the body (m) = 4 kg
- Momentum of the body (p) = 25 kg m/s
- Kinetic Energy (K.E.) = ?
To Find:
The kinetic energy of the body.
Formula:
The formula for calculating kinetic energy is:
K.E. = 1/2 * m * v^2
where:
- K.E. is the kinetic energy
- m is the mass of the body
- v is the velocity of the body
Explanation:
To calculate the kinetic energy of the body, we need to find the velocity of the body first.
Step 1:
Using the formula for momentum:
p = m * v
we can rearrange the formula to find the velocity:
v = p / m
Step 2:
Substituting the given values into the formula:
v = 25 kg m/s / 4 kg
v = 6.25 m/s
Step 3:
Now that we have the velocity, we can calculate the kinetic energy using the formula:
K.E. = 1/2 * m * v^2
Substituting the given values:
K.E. = 1/2 * 4 kg * (6.25 m/s)^2
K.E. = 1/2 * 4 kg * 39.06 m^2/s^2
K.E. = 78.12 J
Therefore, the kinetic energy of the body is 78.12 J.
Conclusion:
The correct answer is option B) 78.12 J.
- Mass of the body (m) = 4 kg
- Momentum of the body (p) = 25 kg m/s
- Kinetic Energy (K.E.) = ?
To Find:
The kinetic energy of the body.
Formula:
The formula for calculating kinetic energy is:
K.E. = 1/2 * m * v^2
where:
- K.E. is the kinetic energy
- m is the mass of the body
- v is the velocity of the body
Explanation:
To calculate the kinetic energy of the body, we need to find the velocity of the body first.
Step 1:
Using the formula for momentum:
p = m * v
we can rearrange the formula to find the velocity:
v = p / m
Step 2:
Substituting the given values into the formula:
v = 25 kg m/s / 4 kg
v = 6.25 m/s
Step 3:
Now that we have the velocity, we can calculate the kinetic energy using the formula:
K.E. = 1/2 * m * v^2
Substituting the given values:
K.E. = 1/2 * 4 kg * (6.25 m/s)^2
K.E. = 1/2 * 4 kg * 39.06 m^2/s^2
K.E. = 78.12 J
Therefore, the kinetic energy of the body is 78.12 J.
Conclusion:
The correct answer is option B) 78.12 J.
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A body of mass 4 kg has a momentum of 25 kg m/s, its K.E. is:a)70.66 Jb)78.12 Jc)100 Jd)25.5 JCorrect answer is option 'B'. Can you explain this answer?
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