College physics 1) A 600 g model rocket is on a cart that is rolling to the righ

Question

College physics

1) A 600 g model rocket is on a cart that is rolling to the right at a speed of 4.0 m/s . The rocket engine, when it is fired, exerts a 9.0 N vertical thrust on the rocket. Your goal is to have the rocket pass through a small horizontal hoop that is 25 mabove the launch point. At what horizontal distance left of the loop should you launch?

2) A m1 = 5.2 kg box is on a frictionless = 36 slope and is connected via a massless string over a massless, frictionless pulley to a hanging m2 = 1.7 kg weight. What is the tension in the string once the box begins to move?

3) A 300 g block on a 54.0 cm -long string swings in a circle on a horizontal, frictionless table at 60.0 rpm. What is the speed of the block? What is the tension in the string?

Explanation / Answer

Here ,

let the acceleration in vertical direction is a

using second law of motion in vertical direction

m * ay = F -m g

0.6 * ay = 9 - 0.6 * 9.8

ay = 5.2 m/s^2

Now , time taken to rise to 25 m

h = 0.5 ay t^2

25 = 0.5 * 5.2 * t^2

t = 3.1 s

horizontal distance = vx * t

horizontal distance = 3.1 * 4

horizontal distance = 12.4 m

the horizontal distance from the left of loop is 12.4 m

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