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Maru [420]
1 year ago
10

The same physics student jumps off the back of her Laser again, but this time the Laser is

Physics
2 answers:
soldi70 [24.7K]1 year ago
3 0

a) The speed of the student after the jump is 1.07 m/s

b) The final speed of the laser is 10.4 m/s

Explanation:

a)

We can solve this problem by applying the law of conservation of momentum: if there are no external forces acting on the system, the total momentum of the student+Laser system must be constant. Therefore, we can write:

p_i = p_f\\0=mv+MV

where

The initial momentum is zero

m = 42 kg is the mass of the Laser

v = 1.5 m/s is the final velocity of the Laser

M = 59 kg is the mass of the student

V is the final velocity of the student

Solving the equation for V, we find the velocity of the student:

V=-\frac{mv}{M}=-\frac{(42)(1.5)}{59}=-1.07 m/s

So, the final speed of the student is 1.07 m/s.

b)

In this case, the laser and the student are travelling at 3.1 m/s before the student jumps off: therefore, the total momentum before the jump is not zero.

So, the equation of the conservation of momentum is

(m+M)u=mv+MV

where

m = 42 kg is the mass of the Laser

M = 59 kg is the student's mass

u = 3.1 m/s is the initial velocity of the student and the Laser

V = -2.1 m/s is the velocity of the student after the jump (she jumps backward)

v is the final velocity of the Laser

And solving for v, we find

v=\frac{(m+M)u-MV}{m}=\frac{(42+59)(3.1)-(59)(-2.1)}{42}=10.4 m/s

Learn more about momentum:

brainly.com/question/7973509

brainly.com/question/6573742

brainly.com/question/2370982

brainly.com/question/9484203

#LearnwithBrainly

Guest1 year ago
0 0

m = 42kg
M = 59 kg
u = 3.1 m/s
V = -2.1 m/s
V=(m+M)u-Mv/m
=(42+59)(3.1)-(59)(-2.1)/42

10.4m/s



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