A spring-loaded gun is aimed horizontal and is used to launch identical balls wi

Question

A spring-loaded gun is aimed horizontal and is used to launch identical balls with different initial speeds. The gun is at a fixed position above the floor. The balls are fixed one at a time. If the speed of the second projectile fixed is twice the speed of the first projectile fired, how is the horizontal range (denoted R in the figure) affected? (a) The range for both projectile will be the same. (b) The range of the second projectile will be twice as large as that of the first projectile. (c) The range of the second projectile will be twice as large as that other first projectile. (d) The range of the second projectile is about 1.4 times larger than that of the first projectile (e) The range of the second projectile will be smaller than that of the first projectile by a factor of 1.4. A tennis ball is thrown upward at an angle from point A. It follows a parabolic trajectory and hits the ground at point D. At the instan t shown, the ball is at Point B. Point C represents the highest of the ball above the ground. How do the x and y component of the velocity vector of the ball compare at the points B and C? (a) The velocity components are non-zero at B and Zero at C. (b) The x components are the same; the y component at C is 0 m/s. (c) The x components are the same; the y component has a larger magnitude at C than at B. (d) The x component is larger at C than at B; the y component at B points up while at C, it points downward. (e) The x component is larger at B than at C; the y component at B points up while at C, it points upward. How do the x and y component of the velocity of the ball compare at the points A and D? (a) The velocity components are non-zero at A and are 0 m/s at D. (b) The velocity component are the same in magnitude and direction at both points. (c) The velocity components have the same magnitude at both points, but their directions are reversed. (d) The velocity component have the same magnitude at both points, but the directions of the x components are reversed. (e) The velocity components have the same magnitudes at both point, but the directions of the y components are reversed.

Explanation / Answer

Ans 6: option C:
Because It would be doubled. (Neglecting air resistance. Otherwise, a little less than doubled.)

The time it takes them to hit the floor would only be effected by gravity. As gravity would remain constant, the time for them to hit the ground would be constant.

If there is no air resistance, then the distance each goes horizontally before hitting the floor would be their initial velocity multiplied by the time it takes them to hit the floor. As the time would be the same, the ball travelling horizontally twice as fast would go twice as far.

Ans 7 :option B(The x components are the same; the y component at C is zero. )

Ans 8:option E (The velocity components have the same magnitudes at both points, but the directions of the y components are reversed. )

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