Question

In: Physics

Question 1 a) A girl throws a stone vertically upwards with an initial speed of 5...

Question 1

a) A girl throws a stone vertically upwards with an initial speed of 5 m/s. How much later must she drop another stone from the same point 1.2 m above the ground so that the two stones reach the ground simultaneously?

Solutions

Expert Solution

Given, for the first stone,

the initial velocity is

its initial kinetic energy gets converted to potential energy at the highest point it reaches,

that is

At this maximum height its velocity is zero

time taken by the first stone to reach this height is

therefore,

from this quadratic equation, we get

Now, this stone starts to fall, with 0 initial velocity, then the time taken to fall to ground is

therefore,

therefore total time for the first stone to reach the ground is

for the second stone,

initial height is

initial velocity is

let time taken to reach the ground be , therefore

therefore, required answer is time after which she should drop the second stone

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

in a basketball game a referee throws the basketball upwards from an initial height of 2.00...

in a basketball game a referee throws the basketball upwards from an initial height of 2.00 meters above the floor, with sufficient initial speed such that its highest point will be 4.20 meters above the floor. a basketball players outstretched hand is 2.50 meters above the floor when he holds his hand above his head, and he can jump with an initial speed of 3.90m/s upwards. how long after the ball is released from the referees hand should the player...

part a ) A person throws an object with mass m nearly vertically with an initial...

part a ) A person throws an object with mass m nearly vertically with an initial momentum p=(px,py,pz). With respect to the cartesian coordinate system where the person is looking in the direction y, with x directed to their right. Let ∝ be the elevation angle of the initial momentum (with respect to the x-y plane) and let θ be the angle of the initial momentum with respect to the y-z plane. Write parametric equations for the trajectory of the...

A stone is thrown vertically up from the top of a tower with a certain initial...

A stone is thrown vertically up from the top of a tower with a certain initial velocity. It reaches ground in t seconds .(7.65). A second stone, thrown down from the same tower with the same initial velocity reaches ground in 3.6 seconds. Determine (i) the height of the tower, and (ii) the initial velocity of the stones.

This question is about throwing a ball vertically upwards and catching the ball. Compare the part...

This question is about throwing a ball vertically upwards and catching the ball. Compare the part of the graph of mechanical energy vs. time before the ball is in free-fall to the part while the ball is in free fall. Carefully explain, using the concept of work done on the system, why the ball’s mechanical energy changed as it did.

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 projectile is launched vertically from the surface of the Moon with an initial speed of...

A projectile is launched vertically from the surface of the Moon with an initial speed of 1290 m/s. At what altitude is the projectile's speed one-fifth its initial value?

A stone is thrown vertically upward with an initial velocity of 20 m/s. Air resistance is...

A stone is thrown vertically upward with an initial velocity of 20 m/s. Air resistance is considered negligible. (1) At what time does it reach the peak? (2) What is the maximum height it reaches? (3) What is speed of the stone just before it hits the ground? The velocity of a 1-kg particle moving along the x axis changes from vi = -2m/s to vf = -5m/s in 3s. (1) What are the change in momentum and impulse for...

In the Olympic shotput event, an athlete throws the shot with an initial speed of 13.0...

In the Olympic shotput event, an athlete throws the shot with an initial speed of 13.0 m/s at a 44.0 ∘angle from the horizontal. The shot leaves her hand at a height of 1.80 m above the ground. How far does the shot travel? Express your answer with the appropriate units.

IP A fireworks rocket is launched vertically into the night sky with an initial speed of...

IP A fireworks rocket is launched vertically into the night sky with an initial speed of 42.2 m/s . The rocket coasts after being launched, then explodes and breaks into two pieces of equal mass 2.90 s later. Part A If each piece follows a trajectory that is initially at 45.0 ∘ to the vertical, what was their speed immediately after the explosion? Part B What is the velocity of the rocket's center of mass before the explosion? Part C...

A baseball pitcher throws a baseball with an initial speed of 91 feet per second at...

A baseball pitcher throws a baseball with an initial speed of 91 feet per second at an angle of 5 degree to the horizontal. The ball leaves the pitcher's hand at a height of 15 feet. Write the parametric equations that describe the motion of the ball as a function of time. a) Write a set of parametric equations that model the baseball. b) What is the max height of the ball? c) When does the ball hit the ground?...

Subjects