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You and your friends decide that it would be fun to push a rusty old mining cart down a track. If you push it at 3.1 m/s and friction causes it to accelerate at -0.3 m/s², how long will it roll before
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May 7, 2024
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You and your friends decide that it would be fun to push a rusty old mining cart down a track. If you push it at 3.1 m/s and friction causes it to accelerate at -0.3 m/s², how long will it roll before it stops?
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Dieterg
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Answer:
Therefore, the rusty old mining cart will roll for approximately 10.33 seconds before it comes to a stop due to friction!
Step-by-step explanation:
To determine how long the rusty old mining cart will roll before it stops, we can use the equation of motion for uniformly accelerated motion:
v = u + at
Where:
- v is the final velocity (0 m/s, as the cart stops)
- u is the initial velocity (3.1 m/s, the speed at which the cart is pushed)
- a is the acceleration (-0.3 m/s², caused by friction)
- t is the time it takes for the cart to stop
To find the time (t), we rearrange the equation:
t = (v - u) / a
Substituting the given values:
t = (0 - 3.1) / -0.3
Simplifying this expression:
t = -3.1 / -0.3
t ≈ 10.33 seconds
Ashutosh Jha
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May 11, 2024
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Ashutosh Jha
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