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taurus [48]
3 years ago
12

An object of mass 300 kg is observed to accelerate at the rate of 4 m/s 2 . Calculate the force required to produce this acceler

ation
Physics
1 answer:
Marianna [84]3 years ago
6 0

Answer:

F = 1200 N

General Formulas and Concepts:

<u>Forces</u>

Newton's Second Law of Motion: F = ma

  • F is force (in N)
  • m is mass (in kg)
  • a is acceleration (in m/s²)

Explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>m</em> = 300 kg

<em>a</em> = 4 m/s²

<u>Step 2: Find Force</u>

  1. Substitute in variables [Newton's Second Law of Motion]:                           F = (300 kg)(4 m/s²)
  2. Multiply:                                                                                                            F = 1200 N

Topic: AP Physics 1 - Algebra Based

Unit: Forces

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Answer:

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Explanation:

Given:

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Now, using the pythagorean theorem, we have:

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Now, differentiating both sides with respect to time 't', we get:

2x\frac{dx}{dt}=0+2e\frac{de}{dt}\\\\\frac{dx}{dt}=\frac{e}{x}\frac{de}{dt}

Now, we are given speed as 25 mph. So, \frac{de}{dt}=25\ mph

Also, when e=91\ mi, we can find 'x' using equation (1). This gives,

x^2=23104+(91)^2\\\\x=\sqrt{31385}=177.16\ mi

Now, plug in the values of 'e' and 'x' and solve for \frac{dx}{dt}. This gives,

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Questions Diagram is attached below

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