Question

In: Physics

. A 0.56-kg ball is thrown vertically upward with an initial speed of 15.5 m/s. What...

. A 0.56-kg ball is thrown vertically upward with an initial speed of 15.5 m/s. What is the speed of the ball when it has travelled one-half of the distance to its maximum height?

Expert Solution

Gravitational acceleration = g = 9.81 m/s²

Mass of the ball = m = 0.56 kg

Initial speed of the ball = V₁ = 15.5 m/s

Maximum height reached by the ball = H

By conservation of energy the initial kinetic energy is converted into the potential energy at maximum height.

Speed of the ball when it has traveled one-half of the distance to the maximum height = V₂

Height of the ball at this instant = H₁ = H/2

By conservation of energy the initial kinetic energy is converted into the potential energy plus the kinetic energy at this height.

V₂ = 10.96 m/s

Speed of the ball when it has traveled one-half of the distance to the maximum height = 10.96 m/s

genius_generous answered 10 months ago

A 0.300 kg ball is thrown vertically upward with an initial speed of 10.0 m/s. The...

A 0.300 kg ball is thrown vertically upward with an initial speed of 10.0 m/s. The initial potential energy is taken as zero (y1 = 0). (a) Find the ball’s speed at 2.50 m above the initial position. (b) Find the maximum height of the ball.

A 1.5 kg ball is thrown vertically upward with an initial speed of 15 m/s. If...

A 1.5 kg ball is thrown vertically upward with an initial speed of 15 m/s. If the initial potential energy is taken as zero, find the ball’s kinetic, potential, and mechanical energies (a) at its initial position, (b) at 5 m above the initial position, and (c) at its maximum height.

a ball is thrown vertically upward with a speed of 8.0 m/s (a) How high does...

a ball is thrown vertically upward with a speed of 8.0 m/s (a) How high does it rise? (b) how long does it take to reach its highest point? (c) How long does it take to hit the ball to take to hit the ground after it reaches its highest point? (d) What is its velocity when it returns to the level from which it started?

An object is thrown vertically upward with an initial speed of 56.9 m/s. (Assume the object...

An object is thrown vertically upward with an initial speed of 56.9 m/s. (Assume the object is thrown from ground level.) (a) How high (in m) does it rise? (b) How long (in s) does it take to reach this highest altitude? (c) How long (in s) does it take to hit the ground after it reaches the highest altitude? (d) What is its speed (in m/s) when it returns to the level from which it was initially released?

A blue ball is thrown upward with an initial speed of 24.3 m/s, from a height...

A blue ball is thrown upward with an initial speed of 24.3 m/s, from a height of 0.9 meters above the ground. 3 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 8.2 m/s from a height of 33.3 meters above the ground. The force of gravity due to the earth results in the balls each having a constant downward acceleration of 9.81 m/s2. 4) What is the height of the...

A blue ball is thrown upward with an initial speed of 22.2 m/s, from a height...

A blue ball is thrown upward with an initial speed of 22.2 m/s, from a height of 0.5 meters above the ground. 2.7 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 10.7 m/s from a height of 26.9 meters above the ground. The force of gravity due to the earth results in the balls each having a constant downward acceleration of 9.81 m/s2 a. What is the height of the...

•A ball is thrown upward from an initial height of 4.9 m with an initial speed...

•A ball is thrown upward from an initial height of 4.9 m with an initial speed of 9.8 m/s •How high is the ball 2.0 s later? •What is the velocity of the ball at its highest point •When does it reach Its highest point •How high does the ball go? •When does the ball hit the ground? •How fast is it going when (right before) it hits the ground?

A ball is thrown upward with a speed of 28.2 m/s. A. What is its maximum...

A ball is thrown upward with a speed of 28.2 m/s. A. What is its maximum height? B. How long is the ball in the air? C. When does the ball have a speed of 12m/s? (there are two answers, give both)

A stone is thrown vertically upward at a speed of 48.00 m/s at time t=0. A...

A stone is thrown vertically upward at a speed of 48.00 m/s at time t=0. A second stone is thrown upward with the same speed 4.050 seconds later. At what time are the two stones at the same height? Set up an equation of motion for each stone. Write the time for the second stone in terms of the time for the first stone. Solve the two equations for the unknown time.

A ball is thrown straight up with an initial speed of 19 m/s. The ball was...

A ball is thrown straight up with an initial speed of 19 m/s. The ball was released 6.3 m above the ground, but when it returns back down, it falls into a hole d m deep. If the ball’s speed is 35.7 m/s at the bottom of the hole, how deep is the hole (in m)?