Physics

Content Covered: - 1D Kinematics - 2D Kinematics - Newton's Laws

Directions: Answer the following problems below by showing the complete solution. In return, I will give you a good rating. Thank you so much!

Note: Please be careful with the calculations in the problem. Kindly double check the units, significant digits, and the solution and answer if there is a deficiency.

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1.

3a. Suppose a ball is dropped vertically onto an incline plane. Go ahead and set the point at which the ball hits the incline plane to be the origin, and let t = 0 there. The inclined plane is at an angle 45 deg as seen in the figure below. Immediately after the ball hits the inclined plane, it's velocity has only horizontal direction given by Ur = 3.2 m/s. O How long does it take before the ball hits the inclined plane again? Please give your answer in s. Enter answer here 3b. What coordinates does the ball hit when it bounces off the inclined plane a second time? Please give your answers in m. x-component: Enter answer here5. You are watching a bat fly out from the bottom of a well. The bat flies in a helical path so that its position vector is given by 7 = 5cos( #t)i + 5sin(#t)j + 4tk. The origin a = 0, y = 0, z = 0 is fixed at the center of the well, and the z-axis is directed upward from the bottom of the well. Note that t = 0 when the bat is at the bottom of the well. The well is of depth 20 m. How long does it take before the bat exits the well? Please give your answer in s. Enter answer here2. The acceleration due to gravity near the surface of Mars is 3.69 m/s . One morining, an astronaut tests her jetpack. Starting from rest, the jetpack accelerates her upward from the ground with a constant acceleration of 10 m/s', but after 4 s, the jetpack shuts off. What is her speed right before she hits the ground? Please give your answer in m / S. Enter answer here1a. A ball vertically drops from rest onto a flat surface a distance 3.0\\,\\mathrm(m]3.0m below the ball. After bouncing once, it returns to its original height. You may assume that the time of the collision is small compared to the total time the ball is moving. How long does it take the ball to reach its original height again after being dropped? Please give your answer in units of \\mathrm{s]s. Enter answer here 1b. What is the velocity of the ball right before the collision? Assume "up" is the positive direction. Please give your answer in m /s. Enter answer here 1c. What is the average acceleration of the ball given that the collision lasts 5 ms? Please give your answer in m/s-. Enter answer here4a. A conveniently shaped mountain peak is shaped like a right-triangle with the peak of the mountain forming a 90 deg angle as shown in the figure. You are located at the origin of the xy-coordinate system in the figure 5m below the peak, and 5m to the left of it. Assume the mountain has a constant slope on either side of the peak and the mountain is very tall. You throw a rock with a velocity of vo = 15 m/s at an angle of 0 = 22 deg. Ignore your own height (i.e. the rock is thrown from the center of the coordinate system. ty Vo fe +X When the rock is at directly over the peak of the mountain, what is the vertical distance between the rock and the mountain peak? Please give your answer in m. Enter answer here 4b. What horizontal distance will the rock have traveled when it reaches its maximum vertical position? Please give your answer in m. Enter answer here3c. {yrcomponent: Enter answer here 3d. What are the components of the vetocity of the hall right before the second bounce? Please give you r answers in m/s. xcom [1011 E n 1.". Enter answer here Be. ycomponent: Enter answer here 4c. What horizontal distance will the rock have traveled when it hits the mountain? Please give your answer in m. Enter answer here