Solution to problem 13.3.6 from the collection of Kepe O.E.

13.3.6 The problem considers the movement of a material point along a curved path under the influence of a force. The tangential component of this force F? = 0.2t2, and the normal component Fn = 8Н. If at time t = 10 s the acceleration of the point is a = 0.7 m/s2, then it is necessary to determine the mass of the point. The answer to the problem is 30.8.

Solution to problem 13.3.6 from the collection of Kepe O.?.

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The problem considers the movement of a material point along a curved path under the influence of force. The tangential component of this force F? = 0.2t2, and the normal component Fn = 8Н. If at time t = 10 s the acceleration of the point is a = 0.7 m/s2, then it is necessary to determine the mass of the point.

Our solution to the problem contains a detailed analysis and step-by-step solution that makes it easy to understand how the answer was arrived at. Beautiful design in html format allows you to comfortably read the solution on any device.

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We present to your attention a digital product - a solution to problem 13.3.6 from the famous collection of Kepe O.?. in physics. This problem considers the movement of a material point along a curvilinear trajectory under the influence of a force consisting of a tangential component F? = 0.2t2 and the normal component Fn = 8 N. It is necessary to determine the mass of a point if at time t = 10 s the acceleration of the point is a = 0.7 m/s2. The answer to the problem is 30.8.

Purchasing a digital product "Solution to problem 13.3.6 from the collection of Kepe O.?." will allow you to save time on solving physical problems on your own. Our solution to the problem contains a detailed analysis and step-by-step solution that makes it easy to understand how the answer was arrived at. Beautiful design in html format allows you to comfortably read the solution on any device. Buy the digital product "Solution to problem 13.3.6 from the collection of Kepe O.?." with us and improve your knowledge and skills in solving physical problems.

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Solution to problem 13.3.6 from the collection of Kepe O.?. consists in determining the mass of a material point moving along a curved path under the influence of a force specified in the form of a tangential component F? = 0.2t2 and the normal component Fn = 8Н, provided that at time t = 10 s its acceleration is equal to a = 0.7 m/s2.

To solve the problem, it is necessary to use the equation of motion of a material point:

F = at,

where F is the force acting on the point, m is its mass, a is acceleration.

Considering that the tangential component of the force is equal to F? = 0.2t2, and the normal component Fn = 8Н, can be written:

F = √(F?² + Fn²) = √(0,2t² + 64) Н,

а = F/m = √(0,2t² + 64)/m.

Substituting the values ​​t = 10 s and a = 0.7 m/s2, we obtain:

0,7 = √(0,2*10² + 64)/m,

whence m = √(0.2*10² + 64)/0.7 ≈ 30.8.

Thus, the mass of the material point is 30.8 kg.

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