A crate with a mass of 110 kg glides through a space station with a speed of 2 m/s. An astronaut speeds it up by pushing on it from behind with a force of 240 N, continually pushing with this force through a distance of 4 m. The astronaut moves around to the front of the crate and slows the crate down by pushing backwards with a force of 230 N, backing up through a distance of 3 m. After these two maneuvers, what is the speed of the crate?
a)final speed ___________= m/s
and
question 2
A daredevil plans to bungee jump from a balloon 53.0 m above a carnival midway. He will use a uniform elastic cord, tied to a harness around his body, to stop his fall at a point 10.0 m above the ground. Model his body as a particle and the cord as having negligible mass and obeying Hooke's law. In a preliminary test, hanging at rest from a 5.00 m length of the cord, he finds that his body weight stretches it by 1.50 m. He will drop from rest at the point where the top end of a longer section of the cord is attached to the stationary balloon.
(a) What length of cord should he use?
___ m
(b) What maximum acceleration will he experience?
and question 3
The electric motor of a model train accelerates the train from rest to 0.755 m/s in 19.5 ms. The total mass of the train is 875 g. Find the average power delivered to the train during the acceleration.
___________ W
and question 4
A sled of mass m is given a kick on a frozen pond. The kick imparts to it an initial speed of 2.80 m/s. The coefficient of kinetic friction between sled and ice is 0.150. Use energy considerations to find the distance the sled moves before it stops.
_____________m
i have been sitting here trying these problems all day for past 7 hours and getting no where.
.
please show me how step by step so i can understand. im begging you please just spare 2 minutes to help me understand.
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Answers & Comments
Verified answer
Initial push: v² = u² + 2as = (2m/s)² + 2 * (240N/110kg) * 4m = 21.45 m²/s²
Second push: v² = 21.45m²/s² - 2 * (230N/110kg) * 3m = 8.91 m²/s²
final v = 2.98 m/s
in 3 minutes, 1 minute over the 2 you asked for.