Question

Notify Me Bookmark

A cat runs across the field at a speed of 13 m/s. She is headed Northwest (35∘ West of North) and she jumps off the ground at an angle 60∘ from the ground, as shown in the figures below. The angle her velocity makes with the z axis is 40∘ and the angle the projection of her velocity onto the x-y plane makes with the y axis is 35∘. Write her velocity as a vector using the coordinate system below. ( 10 points)

A cat runs across the field at a speed of 13 m/s. She is headed Northwest (35∘ West of North) and she jumps off the ground at an angle 60∘ from the ground, as shown in the figures below. The angle her velocity makes with the z axis is 40∘ and the angle the projection of her velocity onto the x-y plane makes with the y axis is 35∘. Write her velocity as a vector using the coordinate system below. ( 10 points)

Image text
A cat runs across the field at a speed of 13 m / s . She is headed Northwest ( 35 ∘ West of North) and she jumps off the ground at an angle 60 ∘ from the ground, as shown in the figures below. The angle her velocity makes with the z axis is 40 ∘ and the angle the projection of her velocity onto the x -y plane makes with the y axis is 35 ∘ . Write her velocity as a vector using the coordinate system below. ( 10 points)

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

(a) In a minor rail yard accident, a runaway goods truck of mass 1.85×104 kg collides at u = 20.0 ms−1 with a stationary truck of mass 2.20×104 kg, as shown in Figure 3. The trucks lock together and travel at the same speed after the collision. Assume friction is negligible. Figure 3 Sketch of the runaway and stationary goods trucks, for use in Question 10. (i) Show that the speed of the trucks after the collision is 9.14 ms−1. (ii) One of the truck wheels can be modelled as a solid disk of radius 4.60×10−1 m and moment of inertia 36.5 kgm2. Calculate the magnitude of the wheel's angular momentum after the collision. (iii) The truck's linear velocity vector is in the positive x-direction using the Cartesian coordinate system shown in Figure 3. What is the direction of the wheel's angular momentum vector? Briefly explain your reasoning. (b) The train driver sounds the train's whistle. The whistle is a pipe that is open at one end and closed at the other, and it has a length of 0.480 m. The speed of sound in air is 343 ms−1. (i) Sketch the standing wave pattern of the air pressure in the whistle for its fundamental resonant frequency. Clearly indicate the open and closed ends of the whistle pipe. (ii) Hence calculate the frequency of the sound made by the whistle's fundamental resonance. (c) An observer standing on a bridge above the train track hears the whistle as the train approaches at a speed of 40.0 ms−1. (i) Show that the whistle frequency perceived by the observer is 13.2% greater than the frequency perceived by the driver. (ii) Describe how the sound of the whistle, as heard by the observer, will change as the train approaches and goes past the bridge.

Solution
0 0

A bucket crane consists of a uniform boom of mass M = 201 kg and length L = 59.69 ft that pivots at a point on a truck bed. The boom supports an elevated bucket with a worker inside at the other end of the boom, as shown in the figure. Model the bucket and the worker together as a point mass of weight 203 Ib, located at the end point of the boom. Suppose that when the boom makes an angle of 66.3∘ with the horizontal truck bed, the bucket crane suddenly loses power, causing the bucket and boom to rotate freely toward the ground. Take the rotation axis to be at the point where the boom pivots on the truck bed. Use R = 9.81 m/s2 for the acceleration due to gravity. For unit conversions, assume that 1 m = 3.28 ft and 1 Ib = 4.45 N. Find the magnitude of the angular acceleration a of the system just after the crane loses power. Express your answer Io at least two decimal places. a = rad s2
Solution
0 0

A ballistic (m = 500 g) is traveling with a speed v0 = 5 m/s directly towards the middle of a thin rod⁡(M = 2 kg, L = 2 m), as shown below. The ballistic collides with and sticks to the rod, causing it to swing about a hinge at an angle ϕ, as shown below. The moment of inertia of a rod rotating about one of its ends is Irod = 13 ML2. Part (a) Which of the following quantities are conserved during the collision? (4 points) (a) Mechanical Energy (b) Linear Momentum (c) Angular Momentum (d) Net Force Part (b) Find the angular speed of the ballistic-rod system after the collision. (8 points) Part (c) Determine the maximum angle to which the ballistic and rod swing after the collision. (8 points) Part (d) If you wanted the ballistic and rod to swing higher, should you aim the ballistic higher or lower? Defend your reasoning with a conceptual argument. (5 points)
Solution
0 0