- #1
incog13
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Hello,
I am having trouble understanding this short problem from a Kaplan SAT II prep book. Here it is:
A 60 kg man holding a 20 kg box rides on a skateboard at a speed of 7 m/s. He throws the box behind him, giving it a velocity of 5 m/s. with respect to the ground. What is his velocity after throwing the object?
(A) 8 m/s
(B) 9 m/s
(C) 10 m/s
(D) 11 m/s
(E) 12 m/s
This is how I thought about it: Before man threw box, momentum of man + box system was:
(7 m/s) (20 kg) + (7 m/s) (60 kg) = 560 m * kg / s
The final momentum of man + box system after box was thrown was:
(5 m/s) (20 kg) + (x m/s) (60 kg) = 560 m * kg / s
x = 7.67 m / s
So man's velocity with respect to ground after he threw the box would be 7.67 m / s, or answer A, roughly 8 m / s ?
But unfortunately, the answer guide gives me the answer of 11 m / s for the man's final speed. Please help me make some sense of this!
Thanks in advance.
I am having trouble understanding this short problem from a Kaplan SAT II prep book. Here it is:
A 60 kg man holding a 20 kg box rides on a skateboard at a speed of 7 m/s. He throws the box behind him, giving it a velocity of 5 m/s. with respect to the ground. What is his velocity after throwing the object?
(A) 8 m/s
(B) 9 m/s
(C) 10 m/s
(D) 11 m/s
(E) 12 m/s
This is how I thought about it: Before man threw box, momentum of man + box system was:
(7 m/s) (20 kg) + (7 m/s) (60 kg) = 560 m * kg / s
The final momentum of man + box system after box was thrown was:
(5 m/s) (20 kg) + (x m/s) (60 kg) = 560 m * kg / s
x = 7.67 m / s
So man's velocity with respect to ground after he threw the box would be 7.67 m / s, or answer A, roughly 8 m / s ?
But unfortunately, the answer guide gives me the answer of 11 m / s for the man's final speed. Please help me make some sense of this!
Thanks in advance.