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If you apply a constant force of 50 N, calculate how long it will take to move the 50 kg box so that it is moving with a speed of 30 m/s. After you calculate your results, test it out with a stopwatch.

A. 50 s

B. 100 s

C. 150 s

D. 200 s

1 Answer

4 votes

Final answer:

The time required to accelerate a 50 kg box with a 50 N force to a speed of 30 m/s is 30 seconds, which is not listed in the provided options. This time is calculated by finding the acceleration and then using it to determine the time to reach the target speed.

Step-by-step explanation:

To determine how long it will take to accelerate a 50 kg box to a speed of 30 m/s using a constant force of 50 N, we can use the formula F = ma to find the acceleration (a) and then use the formula v = at to find the time (t). First, calculate the acceleration caused by the force:

a = F / m = 50 N / 50 kg = 1 m/s2

Next, to find the time it takes to reach 30 m/s:

t = v / a = 30 m/s / 1 m/s2 = 30 s

The correct answer is not listed among the options provided. The time required to accelerate the box to 30 m/s using a 50 N force, ignoring friction and other resistive forces, is 30 seconds. If you test the result with a stopwatch, the box should reach the desired speed in approximately this time.

User Hari Prasad
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