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QUESTION 2 An object of mass $m = 1$ kg, moving horizontally, hits a windscreen travelling in the opposite direction. The windscreen is tilted at an angle $\theta = \frac{\pi}{4}$ rad to the horizontal. A force $F$ acts on the object, for a duration of $T$ seconds, such that $F$ is constant in magnitude and is directed normal (perpendicular) to the windscreen. At impact, the object has speed $v_i$, and the windscreen has speed $v_w = 2v_i$. Impose a frame of reference in which the windscreen is stationary, and in which gravity acts in the usual downward direction. Show that, if the object bounces vertically upwards off the windscreen at $2 \text{ ms}^{-1}$, then $T = \frac{3v_i - 2}{g}$, where $g$ is the gravitational acceleration.

          QUESTION 2
An object of mass $m = 1$ kg, moving horizontally, hits a windscreen travelling in the opposite direction. The
windscreen is tilted at an angle $\theta = \frac{\pi}{4}$ rad to the horizontal. A force $F$ acts on the object, for a duration of
$T$ seconds, such that $F$ is constant in magnitude and is directed normal (perpendicular) to the windscreen.
At impact, the object has speed $v_i$, and the windscreen has speed $v_w = 2v_i$. Impose a frame of reference in
which the windscreen is stationary, and in which gravity acts in the usual downward direction. Show that,
if the object bounces vertically upwards off the windscreen at $2 \text{ ms}^{-1}$, then
$T = \frac{3v_i - 2}{g}$,
where $g$ is the gravitational acceleration.

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QUESTION 2
An object of mass m = 1 kg, moving horizontally, hits a windscreen travelling in the opposite direction. The
windscreen is tilted at an angle θ = (π)/(4) rad to the horizontal. A force F acts on the object, for a duration of
T seconds, such that F is constant in magnitude and is directed normal (perpendicular) to the windscreen.
At impact, the object has speed vi, and the windscreen has speed vw = 2vi. Impose a frame of reference in
which the windscreen is stationary, and in which gravity acts in the usual downward direction. Show that,
if the object bounces vertically upwards off the windscreen at 2 ms^-1, then
T = (3vi - 2)/(g),
where g is the gravitational acceleration.

Added by Veronica C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

10/19/2022

Step 1

The object is moving horizontally with a speed of v, and the windscreen is also moving horizontally in the opposite direction with a speed of Uw = 2v. Show more…

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File C:/Users/NKOSENHLE%20T/Documents/PAST%20PAPERS/APM%20Exam-2%202016.pdf QUESTION 2 where g is the gravitational acceleration. T = {} An object of mass m = 1 kg, moving horizontally, hits a windscreen travelling in the opposite direction. The windscreen is tilted at an angle = rad to the horizontal. A force F acts on the object, for a duration of T seconds, such that F is constant in magnitude and is directed normal (perpendicular) to the windscreen. At impact, the object has speed v; and the windscreen has speed Uw = 2v. Impose a frame of reference in which the windscreen is stationary, and in which gravity acts in the usual downward direction. Show that, if the object bounces vertically upwards off the windscreen at 2 m/s, then 3v₁ - 2 9 中华 [12] [13] CANH30cmmt/PAY%20PAPI:R5/APM%20xam-2%202016.pdf QUESTION 2 An object of mass m = 1 kg, moving horizontally, hits a windscreen travelling in the opposite direction. The windscreen is tilted at an angle - rad to the horizontal. A force F acts on the object, for a duration of T seconds, such that F is constant in magnitude and is directed normal (perpendicular) to the windscreen. At impact, the object has speed v; and the windscreen has speed Uw = 2v. Impose a frame of reference in which the windscreen is stationary, and in which gravity acts in the usual downward direction. Show that if the object bounces vertically upwards off the windscreen at 2 m/s, then where g is the gravitational acceleration. [12] [13]

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