Physics, 20.12.2019 23:31 skyler1muir

Two objects, x and y, move toward one another and eventually collide. object x has a mass of 2m and is moving at a speed of 2v0 to the right before the collision. object y has a mass of m and is moving at a speed of v0 to the left before the collision. which of the following describes the magnitude of the forces f the objects exert on each other when they collide? a. the force exerted by x on y is 4f to the right, and the force exerted by y on x is f to the left. b. the force exerted by x on y is 2f to the right, and the force exerted by y on x is f to the left. c. the force exerted by x on y is f to the right, and the force exerted by yon x is f to the left. d. the force exerted by x on y is f to the left, and the force exerted by y on x is f to the right.

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Answer from: bchamp2005p5upqx

The force exerted by object X on Y is 4F to the right and the force exerted by object Y on X is F to the left.

The given parameters;

mass of object X = 2Minitial velocity X = 2V₀mass of object, Y = Minitial velocity of object Y = V₀

The force exerted by the object Y is calculated as follows;

$F = \frac{mv}{t} \\\\$

where;

t is the time of impact

$F_Y = \frac{MV_0}{t}$

The force exerted by the object X is calculated as follows;

$F = \frac{mv}{t} \\\\$

$F_X = \frac{2M \times 2V_0}{t} \\\\F_X = \frac{4MV_0}{t} \\\\F_X = 4(\frac{MV_0}{t} )$

F_X = 4(F_Y)

Thus, we can conclude that the force exerted by object X on Y is 4F to the right and the force exerted by object Y on X is F to the left.

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Answer from: mayhy100

The force exerted by object X on Y is 4F to the right. And the force exerted by object Y on X is F to the left. Hence, option (a) is correct.

Given data:

The mass of object X is, 2M.

The initial velocity of X is, $2v_{0}$ .

The mass of object Y is, M.

The initial velocity of Y is, $v_{0}$ .

Applying the concept of impulse-momentum to obtain average force by object X as,

$F=\dfrac{(2M)(2v_{0})}{t}\\F=\dfrac{4Mv_{0}}{t}$ ............................................................(1)

Here, t is the reaction time.

Similarly, average force by the object Y is,

$F'=\dfrac{Mv_{0}}{t}$ ...................................................................(2)

Taking ratio of equation (1) and (2) as,

$\dfrac{F}{F'}=\dfrac{\dfrac{4Mv_{0}}{t}}{\dfrac{Mv_{0}}{t}}\\\dfrac{F}{F'}= 4\\F = 4F'$

Thus, we can conclude that the force exerted by object X on Y is 4F to the right. And the force exerted by object Y on X is F to the left. Hence, option (a) is correct.

Learn more about the impulse-momentum theorem here:

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Answer from: Quest

Why the rest of the question?

Answer from: Quest

weather forecasts are done by collecting data about the current state of the atmosphere mainly the temperature, humidity and wind and using meteorology, to determine the atmosphere that evolves over time. the h and l mean the high and low pressure. the red strip is a warm front. the blue strip is a cold front. the blue and red strip is a stationary front. the purple strip is a occluded front.

explanation:

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