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The options for each answer: Greater than Less than Equal to Spring pushing apar

ID: 1502064 • Letter: T

Question

The options for each answer:

Greater than

Less than

Equal to

Spring pushing apart 2 masses A spring of negligible mass is compressed between two masses on a frictionless table with sloping ramps at each end. The masses are released simultaneously. The masses have the same volume, but the density of M1 is less than that of M2. Select the appropriate option for each statement. M1 M2 The duration of the force exerted by the spring on M2 is the time the force acts on M The force exerted by the spring on Mi is the force it exerts on M2. The kinetic energy of M2 is 'the kinetic energy of M1 once they both lose contact with the spring. The speed of M2 is. the speed of M1 once they both lose contact with the spring. The final height up the ramp reached by M2 is the height reached by M1. The momentum of M2 is the momentum of M. Once they both lose contact with the spring

Explanation / Answer

1. The duration of the force exerted by the spring on M2 is ... the time the force acts on M1.

T1 = T2

2.The magnitude of the force exerted by the spring on M1 is ... than it exerts on M2.

F1 = F2

3.The kinetic energy of M1 is ... the kinetic energy of M2 once they both lose contact with the spring.

volumes of the masess are equa

but density of M1 < density of M2

so, we know that desity is directly proportional to mass , when volume is constant

M1 < M2

ighter mass will move fast.

The momentum change of 1 & 2 is the same, so the final velocities are inversely proportional to the mass.

let us say, if M1 = 0.5M2, V1 = 2V2 and KE1 = .5(.5M2)(2V2)^2 = M2*(V2)^2
Whereas, KE2 = .5*M2*(V2)^2

KE1 > KE2

4.The speed of M1 is ... the speed of M2 once they both lose contact with the spring.
v1 > v 2

ighter mass will move fast.

5. The final height up the ramp reached by M1 is ... the heigh reached by M2.

H1 > H2

6. The magnitude of M1's momentum is ... that of M2 before and just after loss of contact with the spring.

P1 = P2