Mechanical Engineering - Engineering Mechanics - Discussion
Discussion Forum : Engineering Mechanics - Section 1 (Q.No. 50)
50.
If two bodies having masses m1 and m2 (m1>m2) have equal kinetic energies, the momentum of body having mass m1 is __________ the momentum of body having mass m2.
Discussion:
32 comments Page 2 of 4.
Gaurav1995 said:
9 years ago
To avoid complications assume initial values of m1 & m2 as 4 & 1 then we get velocity ratio(v2/v1) as 2 (K.E.=const) consider v1 as & v2 as 2. then m1v1=4 & m2v2 = 2.
Sairohit sandela said:
7 years ago
We know KE=P^2/2m.
For equal KE(kinetic energies).
The Square of P(momentum) is proportional to the mass.
Hence greater the mass greater is the momentum.
For equal KE(kinetic energies).
The Square of P(momentum) is proportional to the mass.
Hence greater the mass greater is the momentum.
Johny said:
10 years ago
KE1 = KE2.
= 1/2M1V1^2 = 1/2M2V2^2.
= M1>M2.
= V2^2>V1^2 but V2/V1 lesser than V2^2/V1^2.
Or we say V2/V1 lesser than M1/M2 also.
So M1V1>M2V2.
= 1/2M1V1^2 = 1/2M2V2^2.
= M1>M2.
= V2^2>V1^2 but V2/V1 lesser than V2^2/V1^2.
Or we say V2/V1 lesser than M1/M2 also.
So M1V1>M2V2.
Seshu said:
10 years ago
We know that KE = 1/2mv^2. If m value increases moment increases.
So body 1 mass is higher than body 2. So momentum of body 1 greater than body 2.
So body 1 mass is higher than body 2. So momentum of body 1 greater than body 2.
Sandy said:
10 years ago
Since Momentum = Mass Acceleration.
That means Momentum is directly proportional to the mass.
So, if mass is more the momentum will also be more.
That means Momentum is directly proportional to the mass.
So, if mass is more the momentum will also be more.
Mechoy said:
5 years ago
Simply.
Momentum is related to mass and velocity.
If mass and velocity increase then momentum will increase.
So finally, m1>m2.
Momentum is related to mass and velocity.
If mass and velocity increase then momentum will increase.
So finally, m1>m2.
(1)
Deep said:
1 decade ago
1/2 m1 v1^2 = 1/2 m2 v2^2.
As m1>m2 So v2 must be >v1.
m1.v1/m2.v2=v2/v1 will have value greater than 1. So m1.v1>m2.v2.
As m1>m2 So v2 must be >v1.
m1.v1/m2.v2=v2/v1 will have value greater than 1. So m1.v1>m2.v2.
(1)
Vishnu said:
5 years ago
V1 can't be equal to v2 as if they were equal how come kinetic energy be equal as mass are different? Explain please.
Sasi said:
1 decade ago
Momentum = Mass*Velocity.
Here (mass) m1>m2.
Hence momentum of body 1 is greater than the body 2.
Here (mass) m1>m2.
Hence momentum of body 1 is greater than the body 2.
Sasi said:
1 decade ago
Momentum = Mass*Velocity.
Here (mass) m1>m2.
Hence momentum of body 1 is greater than the body 2.
Here (mass) m1>m2.
Hence momentum of body 1 is greater than the body 2.
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