Question

In: Physics

You throw a ball for your dog to fetch. The ball leaves your hand with a...

You throw a ball for your dog to fetch. The ball leaves your hand with a speed of 2 m/s, at an angle of 30◦ to the horizontal, and from a height of 1.5 m above the ground. The mass of the ball is 0.5 kg. Neglect air resistance in what follows.

(a) What is the acceleration of the ball while it is in flight? Report it as a vector, that is, specify magnitude and direction (or vertical and horizontal components; if the latter, specify which direction(s) you take as positive).

(b) What is the kinetic energy of the ball as it leaves your hand?

(c) Consider the Earth as being in the system. What is the potential energy of the Earth-ball system (1) as the ball leaves your hand, (2) at its maximum height, and (3) as it finally hits the ground?

(d) How high does the ball rise above the ground?

(e) What is the kinetic energy of the ball as it hits the ground?

(f) Now let the system be the ball alone. How much work does the Earth do on the ball while it is in flight? (from start to finish)

(g) What is the velocity of the ball as it hits the ground? Report it as a vector.

(h) How far away from you (horizontally) does the ball land?

Solutions

Expert Solution


Related Solutions

You are throwing for a three pointer. The ball leaves your hand with a velocity of...
You are throwing for a three pointer. The ball leaves your hand with a velocity of 9.4 m/s at an angle of 60 degrees with the horizon. You score from a horizontal distance of 7 m. The height of the basket is 3.5 m. (Ignore air-resistance) a) Draw a free body diagram of the ball. b) Find the position and velocity of the ball as a function of time c) At what height was the ball released? d) What is...
Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5...
Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an initial speed of 24 m/s at an angle 35 degrees; with respect to the horizontal. Sarah catches the ball 1.5 meters above the ground. 1) What is the horizontal component of the ball’s velocity when it leaves Julie's hand? 2) What is the vertical component of the ball’s velocity when it leaves Julie's hand? 3) What is the...
Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5...
Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an initial speed of 19 m/s at an angle 49 degrees; with respect to the horizontal. Sarah catches the ball 1.5 meters above the ground. 1. What is the maximum height the ball goes above the ground? 2. What is the distance between the two girls? 3. After catching the ball, Sarah throws it back to Julie. The ball...
Julie throws a ball to her friend Sarah. The ball leaves Julie’s hand a distance 1.0...
Julie throws a ball to her friend Sarah. The ball leaves Julie’s hand a distance 1.0 m above the ground with an initial speed of 10 m/s at an angle 30◦ with respect to the horizontal. Sarah catches the ball 1.0 m above the ground. (a) What is the horizontal component of the ball’s velocity right before Sarah catches it? (b) What is the vertical component of the ball’s velocity right before Sarah catches it? (c) What is the time...
Question 6: Winston, a dog, loves to play fetch. He catches each ball mid-air independently with...
Question 6: Winston, a dog, loves to play fetch. He catches each ball mid-air independently with probability 0.4. Write a simulation in R in which you throw Winston five balls and compute how many of the five balls he catches mid-air. Repeat this simulation N=5,000 times. a) Plot a histogram of the number of catches Winston has made in each series of five catches. b) What proportion of the time does Winston catch exactly two balls mid-air? c) What proportion...
A third baseman makes a throw to first base 40 m away. The ball leaves his...
A third baseman makes a throw to first base 40 m away. The ball leaves his hand with a speed of 37 m/s at a height of 1.5 m from the ground and making an angle of 19 degrees with the horizontal. How high will the ball be when it gets to first base?
5. You throw a ball into the air. It takes 6.0 ? for the ball to...
5. You throw a ball into the air. It takes 6.0 ? for the ball to reach your hand. a. Determine the initial speed at which the ball was thrown. b. Determine the final velocity of the ball when it hits your hand.
1. You throw a 50kg ball upwards at 25m/s. The ball strikes the beginning of the...
1. You throw a 50kg ball upwards at 25m/s. The ball strikes the beginning of the spring when it's 8 meters in the air, then it begins to compress the spring. How far did the spring compress? The spring constant is 300 Newton/meter. Also, if the spring was not there, how far would have it gone up (set the final velocity to zero)? 2. You see a teeter-todder again. It's horizontal (balanced). A 100kg person sits 4 meters to the...
You throw a ball off of the roof of a building with a velocity of 20...
You throw a ball off of the roof of a building with a velocity of 20 m/s directed an angle of 60 degrees above the horizontal. If the building is 30m tall, find the following a) Total air time? b) Total horizontal distance traveled? c) Maximum height reached? d) The speed at which the ball strikes the ground? e)The angle at which the ball strikes the ground?
You stand 17.5 m from a wall holding a tennis ball. You throw the tennis ball...
You stand 17.5 m from a wall holding a tennis ball. You throw the tennis ball at the wall at an angle of 38.5 ∘ from the ground with an initial speed of 21.5 m / s. At what height above its initial position does the tennis ball hit the wall? Ignore any effects of air resistance.  
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT