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4 years ago

A ball rolled along a horizontal surface maintains a constant speed because

Physics

2 answers:

Oksi-84 [34.3K]4 years ago

7 0

There is no friction witch is impossible but good question.

leva [86]4 years ago

3 0

Gravity is in the vertical direction, so there's no horizontal force on the ball to rob kinetic energy from it. (except friction with the floor and the air ...)

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Pavlova-9 [17]

Answer:

$v(1.5)=0.7648\ m/s$

Explanation:

<u>Dynamics</u>

When a particle of mass m is subject to a net force F, it moves at an acceleration given by

$\displaystyle a=\frac{F}{m}$

The particle has a mass of m=2.37 Kg and the force is horizontal with a variable magnitude given by

$F=2cos1.1t$

The variable acceleration is calculated by:

$\displaystyle a=\frac{F}{m}=\frac{2cos1.1t}{2.37}$

$a=0.8439cos1.1t$

The instant velocity is the integral of the acceleration:

$\displaystyle v(t)=\int_{t_o}^{t_1}a.dt$

$\displaystyle v(t)=\int_{0}^{1.5}0.8439cos1.1t.dt$

Integrating

$\displaystyle v(1.5)=0.7672sin1.1t \left |_0^{1.5}$

$\displaystyle v(1.5)=0.7672(sin1.1\cdot 1.5-sin1.1\cdot 0)$

$\boxed{v(1.5)=0.7648\ m/s}$

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3 years ago

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